The option that is a strict inequality is A. y>4
How can you tell if an inequality is strict?It should be noted that inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.
Inequalities involving < or ">" are considered "strict inequalities," whereas those involving "" or "" are not. If you "switch" the two sides of an inequality, you must then reverse the inequality symbol's direction. For example, because 4 5 is true, it follows that 5 > 4.
In conclusion, the correct option is A.
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b. Find the value of m and n
Answer:
n = 45
m = 135
Step-by-step explanation:
The sum of the interior angles of a triangle is 180
180 - 55 - 80 = 45
m = the sum of 55 + 80
n= 45°;
m= 135.
Step-by-step explanation:1. Find the value of n.The sum of all interior angles of a triangle must equa 360°. Hence, the value of n is given by the following expression:
[tex]n+55+80=180\\ \\n=180-55-80\\\\ n=45[/tex]
2. Find the value of m.Since "m" and "n" are opposites angles and, since there's a straight line adjacent to them, the sum of m and n should equal 180 (check the attached image). Find m with the following expression:
[tex]45+m=180\\ \\m=180-45\\ \\m=135.[/tex]
ABDE is an isosceles trapezoid. Select all parts that are marked congruent.
Side AB and Side AE
Angle E and Angle D
Angle E and Angle B
Angle A and Angle B
Angle A and Angle D
Side AE and Side BD
Side AB and Side ED
The concurrent parts in ABDE are Side AB ≅ Side ED and Side AE ≅ Side BD.
Concurrent triangles:If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. The symbol ≅ used for concurrence.
Here we have,
ABDE is an isosceles trapezoid.
If we draw two diagonals in a given trapezoid as given picture
Then the diagonal will divide the trapezoid into 4 triangles
Here ΔAOB, ΔBOD, ΔEOD, and AOE
Here ΔAOB and ΔEOD will be two concurrent triangles
And ΔBOD and AOE will be two concurrent triangles
From ΔAOB and ΔEOD
Side AB ≅ Side ED
From ΔBOD and AOE
Side AE ≅ Side BD
Therefore,
The concurrent parts in ABDE are Side AB ≅ Side ED and Side AE ≅ Side BD
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8. The Pinkerton Publishing Company is considering two mutually exclusive expansion plans. Plan A calls for the expenditure of $50 million on a large-scale, integrated plant that will provide an expected cash flow stream of $8 million per year for 20 years. Plan B calls for the expenditure of $15 million to build a somewhat less efficient, more Labor-intensive plant that has an expected cash flow stream of $3.4 million per year for 20 years. The firm's cost of capital is 10%. a. Calculate each project's NPV and IRR. (4 marks) b. Set up a Project A by showing the cash flows that will exist if the firm goes with the large plant rather than the smaller plant. What are the NPV and the IRR for this Project A? (3 marks) c. Give a logical explanation, based on reinvestment rates and opportunity costs, as to why the NPV method is better than the IRR method when the firm's cost of capital is constant at some value such as 10%. (3 marks)
What is a NPV net present value ?
The difference between the current value of cash inflows and withdrawals over a period of time is known as net present value (NPV). To evaluate the profitability of a proposed investment or project, NPV is used in capital budgeting and investment planning.
Using the appropriate discount rate, computations are performed to determine the current value of a stream of future payments, or NPV. Projects that have a positive NPV are generally worthwhile pursuing, whereas those that have a negative NPV are not.
The current worth of a stream of payments from a business, project, or investment is determined using net present value (NPV).You must predict the timing and size of future cash flows in order to determine NPV, and you must choose a discount rate that is equal to the least allowable rate of return.Your cost of capital or the rewards offered by substitute investments with equivalent risk may be reflected in the discount rate.Positive NPV indicates that the rate of return on a project or investment will be higher than the discount rate.1.
NPV of project A = [tex]-50+\frac{8}{/(1.10)^1} +\frac{8}{(1.10)^2} \frac{8}{(1.10)^3} +\frac{8}{(1.10)^4} +\frac{8}{(1.10)^5} +\frac{8}{(1.10)^6} +\frac{8}{(1.10)^7} +\frac{8}{(1.10)^8} +\frac{8}{(1.10)^9} +\frac{8}{(1.10)^1^0} +\frac{8}{(1.10)^1^1} +\frac{8}{(1.10)^1^2} +\frac{8}{(1.10)^1^3} +\frac{8}{(1.10)^1^4} +\frac{8}{(1.10)^1^5} +\frac{8}{(1.10)^1^6} +\frac{8}{(1.10)^1^7} +\frac{8}{(1.10)^1^8} +\frac{8}{(1.10)^1^9} +\frac{8}{(1.10)^2^0}[/tex]
=$18.11
2.
NPV of project B = [tex]-15+\frac{3.4}{/(1.10)^1} +\frac{3.4}{(1.10)^2} \frac{3.4}{(1.10)^3} +\frac{3.4}{(1.10)^4} +\frac{3.4}{(1.10)^5} +\frac{3.4}{(1.10)^6} +\frac{3.4}{(1.10)^7} +\frac{3.4}{(1.10)^8} +\frac{3.4}{(1.10)^9} +\frac{3.4}{(1.10)^1^0} +\frac{3.4}{(1.10)^1^1} +\frac{3.4}{(1.10)^1^2} +\frac{3.4}{(1.10)^1^3} +\frac{3.4}{(1.10)^1^4} +\frac{3.4}{(1.10)^1^5} +\frac{3.4}{(1.10)^1^6} +\frac{3.4}{(1.10)^1^7} +\frac{3.4}{(1.10)^1^8} +\frac{3.4}{(1.10)^1^9} +\frac{3.4}{(1.10)^2^0}[/tex]
= $13.95
Use function IRR in excel as = IRR(-50,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8)
= 15.03% is the IRR for A.
Use function IRR in excel as = IRR(-15,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4,3.4)
= 22.26% is the IRR for B.
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help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
After 25 years, Sample left will be 100g if nearest hundred...ig...
As part of a school science project, Jacob bought some bulbs for a total of $18. The cost of each bulb was $3. How many bulbs did Jacob buy?
Step One: Write an equation with the variable x
Step Two: Solve your equation.
Equation:
Solution: x=
You need a car for 5 days. A car rental company offers customers two rate plans. With Plan A, the
customer pays $25 per day plus $0.15 per mile driven. With Plan B the customer pays $150 for the week,
even if the car is returned early, with no per-mile charge. Which payment plan would you select if you
plan to drive a total of 100 miles?
What is the equation of the line that is normal to the curve y^2+Inx=19 at the point (e^3,-4)
The equation of the line that is normal to the curve y² + ln(x) = 19 at the point (e³, -4) is given as follows:
y + 4 = -8e³(x - e³).
How to obtain the equation of the line normal to the curve?The equation of the line normal to a curve follows the point-slope definition of a linear function, given as follows:
y - y' = m(x - x').
The derivative of the function is found applying implicit differentiation, as follows:
2y dy/dx + 1/x = 0
dy/dx = -1/(2xy).
At x = e³, y = -4, the numeric value of the derivative is given as follows:
dy/dx = e^(-3)/8.
The normal line is perpendicular to the tangent line, hence it's slope is calculated as follows:
m x e^(-3)/8 = -1.
m = -8e³.
Then the equation of the line normal to the curve at the point is given as follows:
y + 4 = -8e³(x - e³).
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I need an answer pls
Answer:
y=3x^2 - 2x + 5
Step-by-step explanation:
The easiest way to find the answer to this question would be to just plug the different x values into the equations. If you take the equations and plug in x and it gives out the correct f(x) value, then the answer would be correct.
For example, plugging -3 into y=3x^2 - 2x + 5 gives you 10. Plugging in 0 gives 5. Plugging in 2 gives 13.
Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The rate of change is 1 and the y-intercept is 4. How much more is the rate of change of function A than the slope of function B? (5 points) Question 12 options: 1) 1 2) 7 3) 8 4) 9
i need it now
The rate of change is 7 more of function A than the slope of function B.
What is meant by slope?Slope is calculated as the ratio of "vertical change" to "horizontal change" between any two points on a line, or any two points. When the ratio is expressed as a quotient ("rise over run"), the same number is provided for every two distinct locations on the same line. There is a negative "rise" on a descending line.
Since y=8x+3,
The rate of change in equation A is equal to the slope m m=8.
The rate of change, m=1, is given in equation B.
y=mx+ is the solution to equation B.
By substituting the values we get,
y=x+4
Calculate the difference between the rates of change of function A and function B.
8-1=7
Therefore, the rate of change is 7 more of function A than the slope of function B.
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i would
like to know how to answer this question. please
G(1) has a value of 3,The collection of all possible inputs and outputs constitutes a function's domain and range, respectively.
Domain and Range: What are they?The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range. The domain accepts all potential input values from the set of real numbers, and the range accepts all function output values. There for G(1) has a value of 3.To learn more about Domain refer to:
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help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
Answer:
a. 18.5 million
b. 2002
Step-by-step explanation:
Given that A = 18.5·e^(0.1708t) models a population t years after 2000, you want to know the population in 2000 and when it will reach 26.6 million.
Population in 2000The year 2000 is 0 years after 2000, so we can find the population using t=0 in the given equation.
A = 18.5·e^(0.1708·0) = 18.5·e^0 = 18.5
The population in 2000 was 18.5 million.
Year of 26.6 millionWe can solve for t to find the year in which the population reached 26.6 million:
26.6 = 18.5·e^(0.1708t)
26.6/18.5 = e^(0.1708t)
ln(266/185) = 0.1708t
t = ln(266/185)/0.1708 ≈ 2.13 . . . . . . 2.13 years after 2000
The population will reach 26.6 million in the year 2002.
__
Additional comment
The population of 26.6 million represents about a 44% increase over the initial population of 18.5 million. The exponential term tells you the rate of growth is 17.08% compounded continuously. Thus we expect the larger population to be reached in a time slightly less than 44/17 ≈ 2.6 years.
(These numbers were found using a calculator. It is sufficient to do the estimating by realizing that 1.50·18 = 27, and 17·3 = 51, so the growth to 26.6 from 18.5 is less than 50% and will take less than 3 years.)
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Decide whether a line with the given slope slants upward or downward or is horizontal or vertical.
m = ½
Answer: Slants upwards.
Step-by-step explanation:
This is a positive slope, so the line with this given slope will slant upwards. For every increase of one in y, there is a positive change of 2 in x. See attached for a visual example, if the graph was y = ½x.
Use the formula A=(1+r/n)^nt to solve the compound interest problem.
Find how long it takes for 900$ to double if it is invested at 6% interest compounded monthly.
The money will double in value in approximately ? years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The total years taken to double the money according to Compounding will be 12.5 years.
What is compound interest?
Compound interest is that the interest on savings calculated on each the initial principal and therefore the accumulated interest from previous periods.
Main body:
Given :
rate = 6%
amount = $900
Total amount = $1800
Compounded monthly,
so formula becomes,
Total amount = amount (1+r/1200)^12t
T = A[tex](1+r/1200)^{12t[/tex]
1800 = 900 (1+6/1200)^12t
2 = (1+1/200)^12t
2 = 1.005^12t
taking log on both sides
log 2 = 12t *log 1.005
0.3/0.002 = 12t
t = 12.5 years
Hence the time taken to double the money is 12.5 years.
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Find the critical value(s) for a left-tailed z-test with a = 0.09. Include a graph with your answer.
Answer:-1.34
Step-by-step explanation:
Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 8 years. Assume that money is worth 5.4%, compounded quarterly. (Round your answer to the nearest cent.)
Present Value of Annuity = $4,000 × 26.1948 = $104779.2
What is a present value?
The worth of an anticipated revenue stream assessed as of the valuation date is known as the present value in the fields of economics and finance.
Here, we have
Where , Annuity Amount = $4,000
n = No. of periods = 8 years × 4 quarters per year = 32 periods but since the first payment is at beginning of the quarter,
Then, n = 31 when considered for PVAF
r = 5.4% / 4 quarters = 1.35%,
Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n, r)
PVAF(n₀,r) when the first payment is at beginning of n i.e.
n₀ = 1 + { [1-(1+r)^ -n ]/r }
= 1 + { [1-(1+0.0135)^ {-31}]/0.0135 }
= 1 + [ (1 - 0.65987 ) ] / 0.0135]
= 1 + 25.1948
= 26.1948
PVAF(32,35%) = 26.1948
Hence, Present Value of Annuity = $4,000 × 26.1948 = $104779.2
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Place the numbers in order from greatest to least 1 3/4 , 5.25 , -5/2 , -8.345
Answer: 5.25>1 3/4>-5/2>-8.345
Step-by-step explanation:
9 apples and 6 oranges cost $33
18 apples and 20 oranges cost $80
How much does 1 apple and 1 orange cost
The cost of each apple and each orange will be $2.5 and $1.75, respectively. The cost of 1 apple and 1 orange will be $4.25.
The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
9 apples and 6 oranges cost $33 and 18 apples and 20 oranges cost $80.
Let 'x' be the cost of each apple and 'y' be the cost of each orange. Then the equations are given as,
9x + 6y = 33 ...1
18x + 20y = 80 ...2
Multiply equation 1 by negative 2, then we have
-18x - 12y = - 66 ...3
Add equations 2 and 3, then we have
20y - 12y = 80 - 66
8y = 14
y = $1.75
Then the cost of each apple is calculated as,
9x + 6(1.75) = 33
9x = 33 - 7.5
9x = 22.5
x = $2.5
The cost of each apple and each orange will be $2.5 and $1.75, respectively.
The cost of 1 apple and 1 orange will be given as,
⇒ $2.5 + $1.75
⇒ $4.25
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Suppose an annuity pays 4% annual interest, compounded annually. If you invest $4,500 in this annuity annually for 10 years, what percentage of the total balance is interest earned? Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated the final answer.
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]
[tex]\qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 4500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases}[/tex]
[tex]A=4500\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1 \cdot 10}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=4500\left[ \cfrac{(1.04)^{10}-1}{0.04} \right](1.04) \implies A \approx 56188.58[/tex]
so every year you were putting in 4500 bucks, so for 10 years that'd be a total deposits for 4500*10 = 45000, so let's squeeze out the 45000 from the the total, that gives us 56188.58 - 45000 ≈ 11188.58.
so, if we take 56188.58 to be the 100%, what's 11188.58 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 56188.58 & 100\\ 11188.58& x \end{array} \implies \cfrac{56188.58}{11188.58}~~=~~\cfrac{100}{x} \implies 56188.58x=1118858 \\\\\\ x=\cfrac{1118858}{56188.58}\implies x\approx \stackrel{\%}{19.91}[/tex]
CAN SOMEONE PLEASE HELP ME WITH THIS GEOMETRY??
The measure of the side QR is 58.72 if the sides KL=11, NM=17 and OP=38
What is meant by quadrilateral?Having four edges (sides) and four corners, a quadrilateral is a four-sided polygon in geometry (vertices). The term is derived from the Latin terms quadri, a four-letter version, and latus, which means "side." In comparison to other polygons, it is also known as a tetragon. Tetragon is a Greek word that means "four" and "gon" is a word that means "corner" or "angle" (e.g. pentagon). A quadrangle, or 4-angle, is the equivalent term as "gon" denotes "angle." There are four closed sides to a quadrilateral. These shapes below are quadrilaterals: with Raphael, a creation. a four-sided form. One set of parallel sides make up the shape, and there are no right angles.
From the both figures,
KL/NM=OP/QR
11/17=38/QR
QR=(17×38)/11
QR=58.72
Therefore, the measure of the side QR is 58.72 if the sides KL=11, NM=17 and OP=38.
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A bag contains 7 green marbles, 3 yellow marbles and 10 black marbles. If a green marble is drawn, you win $20. If a yellow marble is drawn, you win $30. If a black marble is drawn, you lose $15. It costs $1 to play. What are you expected winnings over time?
Step-by-step explanation:
chances of winning $20=7/20
chances of winning $30=3/20
chances of winning $15=1/2
Need help!!!! with geomtry
Answer: n=11 m=3
Step-by-step explanation:
2n+2=3n-9
n=11
3m+6=n+4
3m+6=11+4
3m+6=15
3m=9
m=3
Suppose the scores of students on a test are normally distributed with a mean score of 70 points and a standard deviation of 10 points. It is decided to give A’s to 10 percent of the students and B’s to 23 percent of the students. Find what scores should be assigned A’s and B’s.
82.9 score should be assigned for A’s and 74.4 should be assigned for B’s
In this question we have been given the scores of students on a test are normally distributed with a mean score of 70 points and a standard deviation of 10 points.
It is decided to give A’s to 10 percent of the students and B’s to 23 percent of the students.
We need to find what scores should be assigned A’s and B’s.
μ = 70, σ = 10
Using standard normal table,
P(X > x) = 10%
P(X > x) = 0.10
1 - P(X ≤ x) = 0.10
P(X ≤ x) =1−0.10
=0.90
Using standard normal z table,
(x - 70)/10 = 1.29
x = 82.9 (score for A’s)
Now, P(X > x) = 33% (top 33% = 10% for A’s+23 % for B’s)
P(X>x) = 0.33
1 - P(X ≤ x) = 0.33
P(X ≤ x) = 1 - 0.33
= 0.67
Using standard normal z table,
(x - 70)/10 = 0.44
x = 74.4 (score for B’s)
Therefore, the score for A = 82.9 and the score for B = 74.4
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Find the equation of Straight line equally indined to the axes and cutting off an intercept 0-2 from the y-axis
The equation of the line is y = x - 2.
What is the equation of the line?
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
We have,
y-intercept(c) = −2 and
the line is equally inclined to the axis i.e., the same angle to the x-axis and y-axis(say)=θ
but the angle between the axes is 90°
2θ = 90° ⇒ θ = 45°
As slope and y-intercept are given.
The equation of a line is y = mx + c
c = -2 and
m = tan45°
as the line is equally inclined to the axes.
c = -2 and m = 1
Hence, the equation of the line is y = x - 2.
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larry is wanting to place a fence diagonally to separate his yard from his neighbors what would the measurement of the fence need to be to fit in the yard picture below what is the length of the fence that runs diagonally what is the total meters of fencing will hr need for the entire triangle of his yard
Answer: You would have to know the number of yards separate from his neighbors yard to get the answer.
Step-by-step explanation:
For example if his yard was 50 yards from his neighbors than you would add that to the width. Length plus width to get your answer.
a quadratic function f is given by f(c) = ax^2+bx+c where a is not 0
The roots of a quadratic function are the values of x that make the function is 0. These roots can be found by solving the equation f(x) is 0.
What is quadratic function ?A quadratic function is a type of mathematical function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. This type of function is called a quadratic function because the highest power of x in the function is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve. The shape of the parabola is determined by the value of the constant a. If a is positive, the parabola opens upwards and if a is negative, the parabola opens downwards.
The roots of a quadratic function are the values of x that make the function equal to 0. These roots can be found by solving the equation f(x) = 0. To solve this equation, we can use the quadratic formula, which is:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
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Explain how to do this so I can do the next few problems thank you so much!!!
Area of composite figure is 48 square feet.
What do you mean by composite figure?
A compound shape or figure is a two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, and semicircles.
To find the perimeter of a compound 2D shape, add the lengths of the sides. Find individual regions for each part of the compound shape. The area of a composite shape is the sum of its individual areas.
Let the given composite figure be divided into four rectangles A,B,C and D having dimension 3 and 4
Area of rectangle A = 3 × 4 = 12
Area of rectangle A = area of rectangle B = area of rectangle C = area of rectangle D = 12 square feet.
Total area = Area of rectangle A + area of rectangle B + area of rectangle C + area of rectangle D = 12 + 12 + 12 + 12 =48 square feet
Therefore, area of composite figure is 48 square feet.
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Question 21 of 25
What is the length of the x-component of the vector shown below?
8
71°
OA. 2.6
OB. 8.0
OC. 7.6
OD. 5.2
please help, urgent, would appreciate
The answers to all the parts are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have a function h = -16t² + 1800, that gives the height of the person at time [t] seconds.
[A] -
For [x] = 1000ft, we can write -
1000 = -16t² + 1800
16t² = 800
t² = (800/16)
t² = 50
t = 7.07 seconds
[B] -
For [x] = 950ft, we can write -
950 = -16t² + 1800
16t² = 850
t² = 53.125
t² = √(53.125)
t = 7.29 seconds
[C] -
The domain of the function will be -
0 ≤ x ≤ 10
[D] -
The range of the function will be -
0 ≤ h ≤ 1800
Therefore, the answers to all the parts are given above.
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Pls answer its for my final
The quadratic equation will be written as F(x) = -2x² - 4x + 1.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The point from which the quadratic equation passes are,
(0,1), (-1,3), and (-2,1).
The quadratic equation will be written as,
y =ax²+ bx +c
For point (0,1)
1 = 0 + 0 + c
c = 1
For points (-1,3),
3 = a - b + c
3 = a - b + 1
a - b = 2
For point (-2,1),
1 = 4a - 2b + c
1 = 4a - 2b + 1
4a = 2b
b = 2a
calculate the values of a and b,
a - b = 2
a - 2a = 2
-a = 2
a = -2
b = 2a = 2 x -2 = -4
The quadratic equation will be written as,
F(x) = -2x² - 4x + 1
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5. Find all the solutions to the equation x²e^x– 2xe^x – 3e^x =0.
Answer:
[tex]x = 3, -1[/tex]
Explanation:
math