Answer:
[tex] \boxed{\bf A. \: x - 2}[/tex]
Step-by-step explanation:
[tex] \sf ( x + 1)^2-9/ x + 4 [/tex]
First, we need to factor the expressions that are not already factored.
[tex] \sf ( x - 2) ( x + 4) / x + 4 [/tex]Now, let's Cancel out x+4 in both numerator and denominator.
[tex] \sf x - 2 [/tex]----------------------------
HELP HELP HELP
Quick algebra 1 question
What is the slope of this graph?
Hello and Good Morning/Afternoon:
To find the slope of something:
⇒ let's consider what the formula of the slope needs
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
⇒ needs any two points on the line (x₁,y₁) and (x₂,y₂)
Let's get the required information:
(x₁,y₁) ==> (0,0)(x₂,y₂) ==> (5,2)Let's solve:
[tex]Slope = \frac{2-0}{5-0} =\frac{2}{5}[/tex]
Answer: 2/5
Hope that helps!
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Find the surface area of the right cone. round your answer to the nearest hundredth. a right cone is drawn. the length of radius of the base is 8 inches and the slant height is 16 inches.
The surface area of the right cone is 602.88 inch².
What is cone ?The surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex). The path, to be definite, is directed by some closed plane curve (the directrix), along which the line always glides.Given,
length of radius of the base is = 8 inches
the slant height is =16 inches.
Now using formula ,
the surface area of right circular cone is a right circular cone = πr(r + l)
So, r = 8 inches l = 16 inches
put values in the formula ,
surface area of right circular cone = 3.14 × 8 ( 8 + 16 )
= 3.14 × 8 × 24
= 602.88 inch²
Therefore, the surface area of the right cone is 602.88 inch².
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which least number can be subtracted from 82789 to make it divisible by 11
Answer: 3
Step-by-step explanation:
test the numbers
Answer:
3
Step-by-step explanation:
first you divide the given number with 11 the remainder you get substract in order to get 0
Try It #2
A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was36,800. Assume this trend continues.
a. Predict the population in 2014
Answer:
The population in year 2014 is 41100.
Step-by-step explanation:
In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .
It is required to predict the population in 2014 .
To do so, use the population given in two years as two points on a line and find the equation of population and year. Then, find the population in year 2014 .
Step 1 of 2
The population in 2008 was 28200 and in 2012 it was, 36800 .
The equation relating population and year is,
[tex]$$\begin{aligned}&y-28200=\left(\frac{36800-28200}{2012-2008}\right)(x-2008) \\&y-28200=\left(\frac{8600}{4}\right)(x-2008) \\&y-28200=2150(x-2008)\end{aligned}$$[/tex]
Step 2 of 2
The population in year 2014 can be determined by substituting 2014 for x,
[tex]$$\begin{aligned}&y-28200=2150(2014-2008) \\&y-28200=2150(6) \\&y-28200=12900 \\&y=41100\end{aligned}$$[/tex]
Refer to Table 24-1. If Year 1 is the base year, then the inflation rate in Year 2 was
a. 2.10 percent.
b. 1.40 percent.
c. –3.90 percent.
d. –1.40 percent.
Answer:
c
Step-by-step explanation:
If Year 1 is the base year, then the inflation rate in Year 2 was 2.10 percent. The correct option is a.
What is inflation rate?Inflation rate is the rate at which the general level of prices for goods and services in an economy is increasing over a certain period of time, typically one year.
To calculate the inflation rate, we need to compare the price level in Year 2 to the price level in Year 1.
Using the data from Table 24-1, we can see that the price index in Year 2 is 102.1 and the price index in Year 1 is 100.0.
The inflation rate can be calculated using the following formula:
Inflation rate = (Price index in Year 2 - Price index in Year 1) / Price index in Year 1 * 100%
Plugging in the values, we get:
Inflation rate = (102.1 - 100.0) / 100.0 * 100%
Inflation rate = 2.1%
Therefore, the correct answer is (a) 2.10 percent.
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The graph above shows a line of best fit for data collected on the output of factories in relation to the number of production hours. what is the equation of the line of best fit?
The equation of the line of best fit is y = 50x/3
How to determine the equation?The missing graph is added as an attachment
From the graph, we have the following points
(x, y) = (0,0) and (3,50)
The equation is then calculated as:
y = (y2 - y1)/(x2 - x1) * (x - x1) + y1
This gives
y = (50 -0)/(3- 0) * (x - 0) + 0
Evaluate
y = 50x/3
Hence, the equation of the line of best fit is y = 50x/3
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f(x)=3x-2
h(x)=3x
g(x)=x squared
find the value of x when f(x)=19
The value of f(19) in the given equation is 55.
What is the function of a linear equation?The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.
Given that:
f(x) = 3x - 2We are to find the f(x) = 19.
So;
f(19) = 3(19) - 2
f(19) = 57 - 2
f(19) = 55
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which of the following is a fifth root of the given complex number?
Answer: D
This result is true by De Moivre's theorem.
According to the table, which ordered pair is a local maximum of the function, f(x)?
(0, 64)
(3, –35)
(5, 189)
(2, 0)
The local maximum of the function f(x) is (0,64)
Given,
From the table we can notice that when ₋2<x<0, f(x) is increasing
And in case of when 0<x<3, f(x) is decreasing progressively.
we know that a local maximum is present on the graph of the function y=f(x) at the location where the graph shifts from increasing to decreasing. The tangent has zero slope at this location. And at the point when the graph shifts from declining to increasing, a local minimum is present.
Therefore, a local maximum also known as relative maximum, is a maximum that exists in a certain area and is not necessarily(but could be) a global maximum.
Hence f(0) is a local maximum of the ordered pair (0,64)
Hence we get the local maximum pair as (0,64)
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Answer:
it is 0,64
which is C for me but looks like A for you
Can someone help me out with these questions ?
Answer:
See attached image
Step-by-step explanation:
Imagine that the figure shown is moved 4 units to the left and 3 units down.
Which point is not a vertex of the transferred image?
(-2, -3)
(-4, -3)
(-3, -1)
(-2, 1)
Answer:
(-4,-3)
Step-by-step explanation:
Just check each vertex point and move them by instruction, write them down and do elimination and you'll find the answer
A motorcycle consumes 5 gallons of gas for 300 miles and 7 gallons for 420 miles. Calculate the rate of change per gallon of gas.
Thus, the rate of change per gallon of gas is 60 miles per gallon.
A motorcycle consumes 5 gallons of gas for 300 miles and 7 gallons for 420 miles.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Now,
Rate of change = Difference B/w volume (i.e. in gallons) /difference in miles
= 420-300/7-2
= 60 gallons/mile
Thus, The required rate of change per gallon of gas is 60 miles per gallon.
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Please help! Having a lot of trouble with this! Thank you so much if you do!
Answer:
option B is correct.
Explanation:
[tex]\sf Equation : y-4\ =-\frac{2}{3}\left(x+3\right)[/tex]
[tex]\sf \rightarrow y\ =-\frac{2}{3}x-2 + 4[/tex]
[tex]\sf \rightarrow y\ =-\frac{2}{3}x + 2[/tex]
comparing it with slope intercept form "y = mx + b'' where m is slope and b is y-intercept.
Here slope: -2/3 and y-intercept: 2
This means the slope is decreasing and has crosses the y axis at (0, 2)
On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).
What are the coordinates of the endpoints of the segment T'V'?
T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)
The coordinates of the endpoints of line segments T'V' are; T'(-1, 2) and V'(0, 1).
What are the coordinates of the endpoints of the segment T'V'?It follows from the task content that the transformation involved in the formation of the image from the pre-image is dilation by a scale factor of 1/4.
It follows therefore that, given the coordinates of T and V from the task content are; (-4, 8) and (0,4), it follows that the coordinates of the endpoints as required are; T'(-1, 2) and V'(0, 1).
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Find the value of x. in this triangle lol
ffffffffffffffffffffffffffff
What is the value of the Pearson coefficient of skewness for a distribution with a mean of 17, a median of 12, and a standard deviation of 6
The distribution value's skewness Pearson coefficient is 2.5.
Given that the median is 12 and the standard deviation is 6, the mean value is 17.
The difference between the mean and median is multiplied by three to determine Pearson's coefficient of skewness. By dividing the outcome by the standard deviation, A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.
To determine Pearson's coefficient of skewness, use the following formula:
Skewness=(3(Mean-Median))÷standard deviation
Replace the values there with,
Skewness=(3(17-12))÷6
Skewness=(3×5)÷6
Skewness=5÷2
Skewness=2.5
Therefore, for a distribution with a mean of 17, a median of 12, and a standard deviation of 6, the value of the Pearson coefficient of skewness is 2.5.
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What is the length of the hypotenuse ?
Answer:
3√2
Step-by-step explanation:
In a 45-45-90 triangle, the two legs are the same length while the hypotenuse is √2 times larger.
3*√2 = 3√2
One pitcher of smoothies uses 3 cups of berries. How many pitchers of smoothies can you make with 10 cups of berries?
Click to select the two representations of the solution.
Find the UY segment measurement if
bold increment bold italic X bold italic Y bold italic Z bold approximately equal to bold increment bold italic U bold italic Y bold italic W
.
26
20
24
10
Triangle XYZ = UYW
We know that the 2 triangles are similar using angles Theorem
Let us find XZ to determine UY (for confirmation):
To determine XZ, use the Pythagorean Theorem:
[tex]a^{2} + b^{2} = c^{2} \\ OR\\leg^{2} +leg^{2} = Hypotenuse^{2} \\24^{2} + b^{2} = 26^{2} \\576+b^{2} =676\\b^{2} =100\\b=10[/tex]
You can see that XZ = WU
Now find UY= 26
Corresponding angles
Hope it helps!
Quick algebra 1 question for 25 points!
Only answer if you know the answer, Tysm! :)
The equation regarding the algebraic information that represents the total earnings is y = 22x + 125.
How to calculate the value?From the information that's given, it can be seen that the expression is:
y = 22x + 125
She earned $555 after working for 15 hours. Therefore, the equation to represent the total earnings will be:
y = 22x + 125.
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PLEASE HELP!!! FINDING PROBABILITY MATH!!! expert help would be nice
i need the answer to question 2, 3, and 4. question 1's answer is 9/28 & 32.1%.
The probability that a person wins the game is 32.1%
How to illustrate the probability?Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more have a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴ = 1/1296
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Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
329. (9c + 5)(9c − 5)
Answer:
The product is the difference of squares is [tex]$$\left(9c+5\right)\left(9c-5\right)=81{{c}^2}-25$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (9 c+5)(9 c-5).We have to multiply the given expression.Square the first term 9c. Square the last term 5 .[tex]$$\begin{aligned}&(9 c+5)(9 c-5)=(9 c)^{2}-(5)^{2} \\&(9 c+5)(9 c-5)=81 c^{2}-25\end{aligned}$$[/tex]
Ten six graders will each eat 1/4 of a pizza. How many whole pizza pies need to be
ordered for the ten students? Show your work
Answer:
3 whole pizzas
Step-by-step explanation:
[tex]10 \times \frac{1}{4} = \frac{10}{4} = \frac{5}{2} = 2 \frac{1}{2} [/tex]
So 3 whole pizzas will need to be ordered.
Answer:
2 and a half pies
Step-by-step explanation:
ten sixth graders eat 1/4 each, therefore 4 kids eat 1 whole pie. similarly, 8 kids eat two whole pies, since two kids are remaining they eat 2/4 of a pie.
which can also be put in as 1/2. this means they eat half a pie. and that is how altogether it is 2 and a half pies.
hope this helps!
select the true statement about triangle abc
Answer:
Step-by-step explanation:
Please post a picture of the triangle and the choices.
In the following exercises, multiply the binomials. Use any method.
241. (x + 8)(x + 3)
Answer:
Hence the expression [tex]$(x+8)(x+3)=x^{2}+11 x+24$[/tex].
Step-by-step explanation:
- The given expression is (x+8)(x+3).
- We have to multiply the given expression.
- Multiply the (x+8) by 3 , multiply the (x+8) by x then add like terms.
[tex]$$\begin{array}{r}x+8 \\\underline {\times \quad x+3} \\3 x+24 \\\underline {x^{2}+8 x+24} \\x^{2}+11 x+24\end{array}$$[/tex]
HELP HELP HELP
Just 5 quick algebra 1 questions for 100 points!
1. x = a
2. y = b
3. The slope of a vertical line is undefined..
4. Change in y/change in x (m) or rise/run
5. Rewrite the equation in slope-intercept form to find the value of the y-intercept. The value of x will always be 0.
What is the Equation of a Line?The equation, y = mx + b, in slope-intercept form, defines a line, where m is the slope and the y-intercept = b.
1. Slopes of vertical lines are always undefined, therefore, for a vertical line that contains (a, b), the equation would be: x = a.
2. Horizontal lines have a slope of 0, therefore, the equation of a horizontal line that contains the point, (a, b), will be: y = b.
3. The slope of a vertical line is undefined.
4. Two ways of finding the slope if we are given two points on a line are:
Change in y/change in x (m) = y2 - y1 / x2 - x1
or
rise/run
5. If we have an equation in point-slope form, for example, y - 2 = 2(x - 4), rewrite the equation in slope-intercept form and find the value of the y-intercept:
y - 2 = 2x - 8
y = 2x - 8 + 2
y = 2x - 6
The y-intercept = -6, therefore, the coordinates of the y-intercept would be: (0, -6).
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Help mee plsssssss hurry
Answer:
8
Step-by-step explanation:
Midpoint means half point of a certain shape. This means that if all the points of OPQ are midopoints of the bigger triangle, then OPQ has to be half the size of the big triangle. There are two ways to figure this out. The first way is to add all the numbers up to find the perimeter of the big triangle (6+6+4) which is 16. Then, you can do 16/2 to get the perimeter of the smaller triangle which is 8. The other method is to take each value of the bigger triangle and divide them by 2 (6/2, 6/2, 4/2). When you do that, you get (3, 3, 2). Now, you just add those values (3+3+2) which gets you 8 gor the smaller triangle. I hope this helps!
Rachel is now 11 years old. Five years ago, Lily was twice as old as Rachel. How old is Lily now?
Lily present age now 17 years old.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Here, Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We have been given that Rachel is now 11 years old. Five years ago, Lily was twice as old as Rachel.
We want to find the present age of lily.
Since five years ago rachel was 6, we know that Lily was twice as old as Rachel makes lily 12 years old.
For five years ago so 12 + 5 = 17.
Therefore, Lily is now 17 years old.
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Can someone help please
Triangle not drawn to scale
Given: mA = 40°, m▲ B = 88°, and b = 23. Then a = to the nearest hundredth.
Answer: 14.79
Step-by-step explanation:
[tex]\frac{b}{\sin B}=\frac{a}{\sin A}\\\\a=\frac{b \sin A}{\sin B}\\\\a=\frac{23 \sin 40^{\circ}}{\sin 88^{\circ}}\\\\a \approx 14.79[/tex]
In a continuous series, mean(x) = 80, assumed mean(A) = 60 and
EF=40 then find the value of EFd.
Using the given information, the value of Σfd is 800
Calculating mean using Assumed meanFrom the question, we are to determine the value of Σfd
The formula for mean, using the assumed mean method is given by
[tex]\bar x = A + \frac{\sum fd}{\sum f}[/tex]
Where [tex]\bar x[/tex] is the mean
A is the assumed mean
From the given information,
[tex]\bar x = 80[/tex]
[tex]A = 60[/tex]
[tex]\sum f = 40[/tex]
Putting the parameters into the equation, we get
[tex]80 = 60 + \frac{\sum fd}{40}[/tex]
[tex]80-60 = \frac{\sum fd}{40}[/tex]
[tex]20 = \frac{\sum fd}{40}[/tex]
[tex]\sum fd = 20 \times 40[/tex]
[tex]\sum fd = 800[/tex]
Hence, the value of Σfd is 800
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