Can someone help me on these three questions? can someone solve and show me how you did it so i can understand
Answers
The graph of the function gives the type of function, (continuous or discrete function) the domain and the range as follows;
(A, 2A)
First graph;
Discrete function
Domain; {x| x = -8, -2, 3, 6}
Range; {y| y = 5, 4, -2, 7, }
Second graph
Continuous function
Domain; -4 < x < ∞
Range; 1 ≤ y < 9
(A3.A) 1. The slope of the graph is -1.5
2. The slope of the graph is 1.5
What is a function?A function is an equation defining the relationship between input and output variables
(A, 2A)
A continuous function is one in which a continuous variation in the input values produces a continuous variation in the output. Therefore, a continuous function does not have discontinuity and it has a defined output within the interval in which it is contagious
A discrete function is one that have input values and output only at specified points, such that the function does not have inputs, and therefore, outputs at certain points.
The points in the scatter plot of the first graph are separate and not linked, such that the function is not contagious between any two x–values, which gives;
The function is a discrete function
The domain, which is the set of possible x–values is; {x| x = -8, -2, 3, 6}
The range is {y|y = 5, 4, -2, 7, }
The line joining the points on the second graph, indicates that the graph has values for all input or x–values
Therefore, the function of the graph is a continuous function
The domain is; -4 < x < ∞The range is 1 ≤ y < 9(A3. A) 1. Points on the graph are:
(0, 2), (2, -1)
The slope is given by the equation;
Slope = ∆y ÷ ∆x
Which gives;
Slope = (-1 - 2)/(2 - 0) = -3/2 = -1.52. The given function is; -3•x + 2•y = -6
To find the slope, the function is expressed in the slope and intercept form, y = m•x + c, as follows;
-3•x + 2•y = -6
2•y = 3•x - 6
Therefore;
2•y = 3•x - 6
y = (3•x - 6) = 1.5•x - 3
The slope, is therefore m = 1.5Learn more about the slope and intercept form of linear equations here:
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Related Questions
A restaurant serves an "all you can eat" buffet. At the beginning of serve, the value of the inventory is determined to be $1,200, and at the end of the meal period, it is
$800. That meal period the restaurant served 275 customers. The average food cost per customer for that meal period would be
O $3.64.
O $1.45
O $7.27.
O $5.82.
Answers
Answer:
1.45
Step-by-step explanation:
1200-800=400
400/275=1.4545454545...
the answer $1.45
Pls help with this !!!
Answers
The given graph shown in the image is a function, Option b is correct.
Given that,
A graph is shown, and we have to determine whether the graph shown is a function or not.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
The graph shows of a curve representing an exponential function,
There is why the graph shown is a function, and also the graph is continuous and as well as differentiable.
Thus, the given graph shown in the image is a function, Option b is correct.
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List all the three elements sunsets of the set {1,2,3,4,5}
Answers
A list of all the three-element subsets of the given set include the following:
{1, 2, 3} {1, 2, 4} {1, 2, 5} {1, 3, 4} {1, 3, 5} {1, 4, 5}{2, 3, 4} {2, 3, 5} {2, 4, 5}{3, 4, 5}How to determine the three element subsets?In order to determine the three-element subsets from the given set {1, 2, 3, 4, 5}, we would have to calculate the number of ways to choose the three (3) elements by applying a mathematical model referred to as combination.
Mathematically, combination is given by this mathematical equation:
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
Where:
n is the number of elements.r is the number of times of choosing elements.Substituting the given parameters into the formula, we have;
Number of ways = ⁵C₃
Number of ways = 5!/(3! × (5 - 3)!)
Number of ways = 5!/(3! × 2!)
Number of ways = [5 × 4 × 3 × 2 × 1]/[3 × 2 × 2 × 1]
Number of ways = 120/12
Number of ways = 10 ways.
Therefore, there are 10 three-element subsets of this set.
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Complete Question:
List all the three-element subsets of the set {1, 2, 3, 4, 5}
What is the value of x9+(12−y), when x = 2 and y = –5?
Answers
Answer: 35
Step-by-step explanation:
1) Substitute the x's and y's
(2)9+(12−(-5))
2) Simplify the numbers inside the equation
18+(12-(-5)
= 18+(17)
= 35
3) Solved.
35
Need this today help help help Brainiest
Solve the inequality and graph the solution.
−0.4b + 2.4 < 5.6
number line with an open circle plotted at negative eight and arrow pointing right
number line with a closed circle plotted at negative eight and arrow pointing right
number line with an open circle plotted at negative eight and arrow pointing left
number line with a closed circle plotted at negative eight and arrow pointing left
Answers
The graph of the solution to this inequality is: C. number line with an open circle plotted at negative eight and arrow pointing left.
What is a number line?A number line simply refers to a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
Next, we would solve the given inequality as follows:
−0.4b + 2.4 < 5.6
Subtracting 2.4 from both sides, we have:
−0.4b + 2.4 - 2.4 < 5.6 - 2.4
−0.4b < 5.6 - 2.4
−0.4b < 3.2
Dividing both sides by -0.4, we have:
b < -3.2/0.4
b < -8
In conclusion, the circle on a number line should be open and would point to the left when the inequality symbol is <.
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Find the first four terms of the binomial series for the function (1+2x)^1/2
Answers
The first four terms of the binomial series are 1, x, - x²/2 and - 1/32x³ respectively.
The binomial provided to us is [tex](1+2x)^{1/2}[/tex]
To find out the first four terms of the binomial, we shall first extend the standard binomial (1+x)^n.
(1+x)^n = 1 + nx + [n(n - 1)/2!] x² + [n(n - 1)(n - 2)/3!] x³ +...
As we can see here,
The value of x = 2x,
The value of n = 1/2.
We get,
(1+2x)^1/2 = 1 + 1/2(2x) + [1/2(1/2-1)/2!]x² + [1/2(1/2-1)(1/2-2)/3!]x³ +
(1+2x)^1/2 = 1 + x - x²/2 - 9/4x³ + .....
From the expansion, we can see,
First term = 1
Second term = x
Third term = -x²/2
Fourth term = -1/32x³.
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What is the equation of the line? Please
Answers
Answer:
The answer is C.
Step-by-step explanation:
You take 2 values from the graph each for x and y. Use it in finding the gradient:
[tex] gradient = \frac{y2 - y1}{x2 - x1} [/tex]
Your gradient is m. So you replace your answer in the formula:
[tex]y = mx + c[/tex]
where c is the constant
Then you solve solve for x by substituting other values. After finding c, substitute m and c in the equation above but leave x and y like that and you have your equation.
T 4 Account 1 point Which trig function should Sharlot use to find the measure of angle A ? C Pashboard 5 Courses 1 1 A B 12 Calendar 2 O sine 49 cosine Inbox 3 tangent O History 4 pythagorean theorem o
Answers
In the given triangle we have :
Base line with angle A, and the Hypotenuse of angle A
Since the ratio of Base to the hypotenuse is the Cosine trignometric ratio:
[tex]\text{Cos}\theta=\frac{Base}{Hypotenuse}[/tex]Answer : Cosine
Need to find 2 successes and 4. Successes probablity first 2
Answers
• Given:
[tex]\begin{gathered} n=15 \\ p=0.4 \end{gathered}[/tex]You need to find this probability:
[tex]P(x=4)[/tex]The Binomial Distribution Formula is:
[tex]P(x)=\frac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]Where "n" is the number of trials, "x" is the number of successes desired, and "p" is the probability of getting a success in one trial.
In this case you know that:
[tex]x=4[/tex]Therefore, by substituting values into the formula and evaluating, you get:
[tex]P(x=4)=(\frac{15!}{(15-4)!4!})(0.4)^4(1-0.4)^{15-4}[/tex][tex]P(x=4)=(\frac{15!}{(11)!4!})(0.4)^4(0.6)^{11}[/tex][tex]P(x=4)\approx0.1268[/tex]• Given that:
[tex]\begin{gathered} n=12 \\ p=0.2 \end{gathered}[/tex]You need to find:
[tex]P(x=2)[/tex]In this case:
[tex]x=2[/tex]Therefore, using the same formula, you get:
[tex]P(x=2)=(\frac{12!}{(12-2)!2!})(0.2)^2(1-0.2)^{12-2}[/tex][tex]P(x=2)=(\frac{12!}{(10)!2!})(0.2)^2(0.8)^{10}[/tex][tex]P(x=2)\approx0.2835[/tex]• Given:
[tex]\begin{gathered} n=20 \\ p=0.05 \end{gathered}[/tex]You need to find:
[tex]P(x\leq3)[/tex]This is:
[tex]P(x\leq3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)[/tex]Therefore, using the formula, set up:
[tex]P(x\leq3)=(\frac{20!}{(20-0)!0!})(0.05)^0(1-0.05)^{20}(\frac{20!}{(20-1)!1!})(0.05)^1(1-0.05)^{20-1}+(\frac{20!}{(20-2)!2!})(0.05)^2(1-0.05)^{20-2}+(\frac{20!}{(20-3)!3!})(0.05)^3(1-0.05)^{20-3}[/tex]Then, you get:
[tex]P(x\leq3)\approx0.9841[/tex]Hence, the answers are:
[tex]P(x=4)\approx0.1268[/tex][tex]P(x=2)\approx0.2835[/tex][tex]P(x\leq3)\approx0.9841[/tex]
what is the range? is this relation a function? explain please
Answers
Answer:
Range is called a set of possible outputs..in an realtion or function.
Every relation is not function but all function is relation
Actually some specified relations are called function.
Thanks
Here Range= {5}
Jeremy invests $8,500 into an account with a 2.4% interest rate that is compounded quarterly. How much money will be in this account after 6 years?
Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.
Answers
Answer:
9812.29
Step-by-step explanation:
Using the compound interest formula,
[tex]8500 \left(1+\frac{0.024}{4} \right)^{(6)(4)} \approx 9812.29[/tex]
The Pythagorean Identity is sin^2x+cos^2x=1. Write this equation two other ways.
Answers
[tex]\sin^2 x=1-\cos^2 x \\ \\ \cos^2 x=1-\sin^2 x[/tex]
Please answer question 6, I will really appreciate it!!
Answers
Answer:
z=16
Step-by-step explanation:
1/4 *16=4
and 4 +8=12
Answer:
is that a z or 2?
I need help with this question on my assignment please and thank you
Answers
Given:
The expression is,
[tex]45x^2y^2+18x^3[/tex]Simplify the expression,
[tex]\begin{gathered} 45x^2y^2+18x^3=9\times5x^2y^2+9\times2x^3 \\ =(9\times5\times x^2\times y^2)+(9\times2\times x^2\times x) \\ \text{Take 9x}^2\text{ common from both the brackets,} \\ =9\times x^2\lbrack5\times y^2\rbrack+9\times x^2\lbrack2x\rbrack \\ =9x^2(5y^2+2x) \end{gathered}[/tex]Answer:
[tex]9x^2(5y^2+2x)[/tex]Elena buys 8 tokens for $4.40.
At this rate, how many tokens could she buy with $6.05?
Answers
Answer: 11
Step-by-step explanation: 8/4.40 = x/6.05
8 times 6.05
Divide by 4.40 is 11
For each of the professions in the left column, calculate the annual pay based on full-time, year-round employment consisting of 2,000 hours a year (40 hours per week for 50 weeks per year). Record your calculations under "Annual income" in the table. Then, find the difference between each annual wage figure and a) the poverty threshold and b) the median household income. If the difference is a negative number, record it as such.
Answers
The difference between each annual wage figure and the poverty threshold is as shown in the attached completed table.
How to calculate Annual Income?
Annual Income is a term in economics that is calculated by multiplying the Hourly wage by 4,000 hours.
Now, the Difference between annual wage and the federal poverty line is calculated by subtracting the 2019 Poverty threshold of $13,011 from the Annual Income.
The Difference between annual wage and median household income is calculated by deducting the 2019 Median household income of $68,703 from the Annual income. Negative balances are highlighted.
The attached table shows us the completed annual income table
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Determine a bank account balance if the account starts with $300 has a annual rate of %4 what is the money in the account after 10 years
Answers
Answer:420
Step-by-step explanation: multiply 300 times 4% =12. Then multiply 12 times 10=120. Then add 300 and 120=420
A trapezoid has coordinates F (−9, 6), G (−6, 9), H (−3, 9), and I (0, 6).
a. Dilate the trapezoid by a scale factor of 1/3 with a center of dilation at the origin.
b. Is the dilation a reduction or an enlargement? Explain your reasoning.
Answers
a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)
b) Dilation is reduction.
In this question, we have been given a trapezoid has coordinates F (−9, 6), G (−6, 9), H (−3, 9), and I (0, 6).
a. We need to dilate the trapezoid by a scale factor of 1/3 with a center of dilation at the origin.
The scale factor is 1/3
so, the coordinates of the image would be,
F' = 1/3 (-9, 6)
= (-3, 2),
G' = 1/3(-6, 9)
= (-2, 3),
H' = 1/3 (−3, 9)
= (-1, 3),
and I' = 1/3 (0, 6)
= (0, 2)
b. We know that a dilation is a geometric transformation that either enlarges or reduces a figure in size.
As we know, if the scale factor is between 0 to 1 then the image is reduction and if the scale factor is greater than 1 then the image is enlargement.
Here, scale factor is 1/3 which is 0 < 1/3 < 1
So, in this case the dilation is reduction.
Therefore, a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)
b) Dilation is reduction.
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Question 6
Solve. Write it on paper to solve it.
5y + 4 = 4y + 5
Answers
Answer: y=1
Step-by-step explanation:
1. Subtract 4y from both sides to get y + 4 = 5.
2. Then subtract 4 from both sides to get y = 1.
Therefore, you get your answer, y = 1. Hope this helps!
Somebody, please help me ASAP! I have 2 questions
1. Write, then simplify, an expression for the perimeter of the rectangle below.
3x | 6x +5
2. Write, then simplify, an expression for the perimeter of the figure below.
3x + 2 | x | 2x + 5 | 6x - 17
Please help!!!
Answers
Answer: for the first one, there is no picture i need a picture to solve it that's also for the second one.
Step-by-step explanation:
hope that helps
A man spends 1/4 of his monthly income on children's school fees and 3/5 and- on home affairs. What fraction of his income is left?
Answers
The fraction of the man's income left is 3/20.
What are fractions?In mathematics, a fraction is represented by a numerical value that represents a portion of an entire. A fraction is a piece or section of a whole, where the whole can be any number, a particular value, or an object.Let's assume the monthly income of the man is x.
Income spend on children's school fees = [tex]\frac{1}{4} x[/tex]
Income spend on home affairs = [tex]\frac{3}{5} x[/tex]
The fraction of his income left with the man is,
Total income - Total expenditure
= [tex]x-(\frac{1}{4} x + \frac{3}{5} x)[/tex]
= [tex]x-(\frac{5x+12x}{20})[/tex]
= [tex]x - \frac{17x}{20}[/tex]
= [tex]\frac{3}{20}x[/tex]
So the man has 3/20 of his income left with him.
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(-a^4b³)^-4x(a^-3b^4)^5
Answers
Answer:
5
Step-by-step explanation:
use math-way
Use implicit differentiation to find ∂z/∂x and ∂z/∂y.
x^4 + y^2 + z^9 = 8xyz
Answers
Using implicit differentiation, the derivatives of the function are given as follows:
[tex]\frac{\partial z}{\partial x} = -\frac{4x^3 - 8yz}{9z^8 - 8xy}[/tex][tex]\frac{\partial z}{\partial y} = -\frac{2y - 8xz}{9z^8 - 8xy}[/tex]How does implicit differentiation works?For implicit differentiation, we treat the variables as a function of each other, hence we keep applying the chain rule to find the derivatives.
Supposing a three variable function F(x,y,z) = 0, then the implicit derivatives are given as follows:
[tex]\frac{\partial z}{\partial x} = -\frac{F_x}{F_z}[/tex][tex]\frac{\partial z}{\partial y} = -\frac{F_y}{F_z}[/tex]In standard format, the function is given as follows:
F(x,y,z) = x^4 + y^2 + z^9 - 8xyz.
Hence the partial derivatives are given by:
[tex]F_x = 4x^3 - 8yz[/tex].[tex]F_z = 9z^8 - 8xy[/tex]Then the implicit derivative relative to x is:
[tex]\frac{\partial z}{\partial x} = -\frac{4x^3 - 8yz}{9z^8 - 8xy}[/tex]
The partial derivative relative to y is:
[tex]F_y = 2y - 8xz[/tex]
Then the implicit derivative relative to y is:
[tex]\frac{\partial z}{\partial y} = -\frac{2y - 8xz}{9z^8 - 8xy}[/tex]
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Find the length of side x in simplest radical form with a rational denominator
Answers
Length of the side, x = 11/2
radical form, x = √5.5
Define Hypotenuse.The longest side of a right-angled triangle which is the side opposite to the right angle is called hypotenuse. The hypotenuse can be easily found using the Pythagorean theorem. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
As given in question, ∅ = 60°,
Using, Cos ∅ = adjacent/hypotenuse :
Cos 60°= x/11
As we know cos 60° = 1/2
1/2 = x/11
x, length of the side = 11/2= 5.5
radical form = 5.5
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K
Some rulers for technical occupations show each inch divided into tenths.
Use the scale drawing below. Change the measurements on the drawing to
decimals and round them to the nearest tenth of an inch.
(a)
(f)
View an example
16
(e)
1.8
3
P
5
16
3
(d)
2
רעון
(c)
1
1
1- in
8
Get more help -
(b)
Answers
a) 1.4 to the nearest tenth of the place
b) 1.1 to the nearest tenth of the place
c)0.3 to the nearest tenth of the place
d) 0.5 to the nearest tenth of the place
e) 0.4 to the nearest tenth of the place
f) 0.6 to the nearest tenth of the place
What is decimal ?The full number and the fraction are expressed simultaneously using decimals. By adding a "." (known as a decimal point) in this instance, we will divide the whole number from the fraction. Think about taking an ice cream cone as an illustration. Your purchase of ice cream will cost $2 and 50 cents, the dealer informs you. Currently, you would state that the ice cream cone costs $2.50 if you were to describe this amount in a single number. You may be utilizing decimals unknowingly in a variety of these real-world situations.
a) [tex]1\frac{5}{16} =\frac{22}{16}[/tex]
= 1.375
=1.4 to the nearest tenth of the place
b) [tex]1\frac{1}{8} = \frac{9}{8}[/tex]
=1.125
=1.1 to the nearest tenth of the place
c)[tex]\frac{1}{4}[/tex]
= 0.25
= 0.3 to the nearest tenth of the place
d) [tex]\frac{1}{2}[/tex]
=o.5
=0.5 to the nearest tenth of the place
e) [tex]\frac{3}{8}[/tex]
=0.375
=0.4 to the nearest tenth of the place
f) [tex]\frac{9}{16}[/tex]
=0.5625
= 0.6 to the nearest tenth of the place
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Write an expression that is equivalent to 8 using each of the following numbers and symbols once in the expression.
Answers
optionsWe want to obtain an expression equivalent to 8 using these symbols and numbers.
The option that exactly matches this is,
[tex](7\text{ }\frac{.}{.}7)^2+7[/tex]That is because,
7 divided by 7 is 1.
1 squared is still one, and;
1 added to 7 is 8.
So one answer is option D.
We also have another answer.
Which is;
[tex](7+7^2)\frac{.}{.}7[/tex]That's because 7 squared is 49, and 7 + 49 is 56.
56 divided by 7 is 8.
So our answers are option C and option D
a gear reduction drive has three separate stages with ratio of 3:1,2.38:1 and 4.2:1. the total ratio of the drive is?
Answers
The total ratio of the drive is 9.58:1.
What are ratios?A relationship between two quantities that are typically stated as the product of their respective quotients is known as a ratio.The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.Given ratios of the three separate stages of a gear reduction drive are 3:1,2.38:1 and 4.2:1.
To find the total ratio of the drive we have to add the respective ratios.
When the denominator of the ratios are same, as in this case we just have to add the numerators to obtain the result.
Total ratio of the drive = 3:1 + 2.38:1 + 4.2:1 = 9.58:1
So, the total ratio of the drive is 9.58:1.
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how do i do this problem.
Answers
ANSWER
[tex]g(5x)=75x^2\text{ + 5}[/tex]STEP-BY-STEP EXPLANATION:
Given information
[tex]g(x)=3x^2\text{ + 5}[/tex]Find g(5x)?
Step 1: make x = 5x
[tex]\begin{gathered} g(x)=3x^2\text{ + 5} \\ g(5x)=3(5x)^2\text{ + 5} \\ g(5x)=3(25x^2)+5^{} \\ g(5x)=75x^2\text{ + 5} \end{gathered}[/tex]Please help I’ll mark you as brainliest if correct !!
Answers
Answer:
arithemetic because of the continuos multiplication
Answer:
A. I'm pretty sure would be geometric. and the next numbers would be 729, 2187, 6561
B. is arithmetic and the next numbers would be 46, 55, 64
C.is also arithmetic, and the next numbers would be 32, 36, 40
Nine times the cube of an number
Answers
Answer:
9*x³ or 9x³
Step-by-step explanation:
a number = x
cubed = to the power of 3
not really much to explain here