The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.
What effect does subtracting 2 from the input?For any function f(x), we define a horizontal translation of N units as:
g(x) = f(x + N)
And what this does, is translate the graph N units horizontally.
if N > 0, then the translation is to the left.
if N < 0, then the translation is to the right.
Here we want to subtract 2 from the input, so we will get:
f(x - 2)
By using the definition above, we know that we will have a translation of 2 units to the right.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
h^2 = 9^2 + 4^ 2
= 81 + 16
= 97
h =97 ^ 1/2
= 9.849
= 10 ml
14 more than 5 times a number is equal to 20. find the number
Answer:
6/5
Step-by-step explanation:
5x + 14 = 20
Subtract 14 from 20
5x = 6
Divide both sides by 5
x = 6/5
Find the 7th term of the geometric sequence whose common ratio is
and whose first term is 4.
Answer:
your answer is 36 counting by 4s
Step-by-step explanation:
4
16
20
24
28
32
36
Answer:
28
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28
Write the equation of the line. (please help will mark brainlist)
Answer:
y = 2/3x - 2
Step-by-step explanation:
Lines on the graph: (0, -2) and (3, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0+2)/(3-0)
m= 2/3
Slope-intercept:
y - y1 = m(x - x1)
y + 2 = 2/3(x - 0)
y + 2 = 2/3x
y = 2/3x - 2
If a number is doubled then which of
the following is a correct statement?
Select one:
A. Its cube is eight times the
cube of the given number.
B. Its cube is three times the
cube of the given number.
C. Its cube is two times the
cube of the given number.
D. Its cube is six times the
cube of the given number.
Answer: Its cube is six times the
cube of the given number.
Step-by-step explanation:
Let's assume we have a number which is 2. The cube will be:
= 2³
= 2 × 2 × 2
= 8
Let's now assume, we double the number 2, we'll have 2 × 2 = 4. Therefore, the cube will be:
= 4³
= 4 × 4 × 4
= 64
Therefore, from the explanation above, 2 raise to power 6 is 64. This means, if a number is doubled, then its cube is six times the cube of the given number.
h(0)=
evaluate the function please!!
Dana's survey showed that 3 out of 8 students preferred pepperoni pizza and
1 out of 8 preferred cheese pizza. How many more of the 72 students surveyed by
Dana preferred pepperoni pizza than preferred cheese pizza?
Answer:
18 more students preferred pepperoni pizza over cheese pizza in the survey.
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten
[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27 I cross canceled the 8 and 72. They have a common factor of 8. 8 goes into 8 once and 8 goes into 72 9 times.
27 students preferred pepperoni pizza.
[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9
9 students preferred cheese pizza.
27 - 9 = 18
a wall is 500sq. feet a gallon of paint covers 160sq feet. what is an appropriate conversion factor to help determine how many gallons will be needed to paint the wall
Answer:
Given:
-> Area of the wall: 500sq. feet
-> 1 gallon of paint covers 160sq. feet of area
-> By unitary method:
-> 1 ft. square of wall requires 1/160 gallon of paint
Thus,
-> 500 ft. square of wall will require = 500 x 1/160 gallons of paint
= 3.0125 gallons
Hope it helps :)
Though my answer may be wrong :(
Have a great day!
Pls help! Step by step:)
Answer:
x = 15
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
a = 9b = 12c = xSubstitute the given values into Pythagoras Theorem and solve for x:
[tex]\implies 9^2+12^2=x^2[/tex]
[tex]\implies 81+144=x^2[/tex]
[tex]\implies 225=x^2[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]
[tex]\implies x=15[/tex]
Find the profit-maximizing price.
80
For a monopolist's product, the demand equation is p = 22 - 2q and the average-cost function is c=2+
q
The profit-maximizing price is $
Answer: [tex]\$11.5[/tex]
Step-by-step explanation:
Given
Demand function is [tex]p=22-2q[/tex]
The average cost function is [tex]c=2+q[/tex]
Total revenue is the product of demand and the price per unit.
[tex]r=\left(22-2q\right)q[/tex]
Profit is given by the difference of the total revenue and the cost
[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]
Find the derivative of profit to get the maximum profit
[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]
Put q in the equation of demand to get the price
[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]
Choose 3 desserts from a menu of 6
Answer:
yes
Step-by-step explanation:
yes
Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below shows the possible outcomes when flipping the coin and rolling the number cube.
H, 1 H, 2 H, 3 H, 4 H, 5 H, 6
T, 1 T, 2 T, 3 T, 4 T, 5 T, 6
What is the probability of the coin landing on tails and the number cube landing on an even number?
A.
1/3
B.
1/2
C.
1/4
D.
3/4
Answer:
C. 1/4
Step-by-step explanation:
The probability of landing tails is 50%, since coins are two sided.
If a cube has 6 numbers, the probability of getting an even number is also 50% since 2,4,and 6 are even while 1,3, and 5 are odd.
The probability of getting both would be 25% (I multiplied 1/2 by 1/2)
There are 10 dark chocolates, 8 milk chocolates, and 7 sea salt caramel
chocoaltes and 8 crunch almond chocolates in a mixed flavor Dove
chocolate bag. What is the probability of randomly choosing a dark
chocolate?
7/33
10/33
8/33
16/33
B 10/33.
Step-by-step explanation:
becouse you first have to add all the chocolates together, with would be 33. Out of the 33, 10 of them are dark chocolate, so your answer would be 10/33
Does perpendicular lines have something same to intersecting lines
Answer:
They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.
Step-by-step explanation:
What is the surface area of the pyramid to the whole number ?
Answer: A ≈ 74.35
Step-by-step explanation: Explanation below.
3. If 2(x + 3) = x + 10, then x equals
Your answer
Answer:
x = 4
Step-by-step explanation:
Distribute 2 to the parentheses:
2(x + 3) = x + 10
2x + 6 = x + 10
Subtract x from both sides:
x + 6 = 10
Subtract 6 from both sides:
x = 4
So, x = 4
Answer: x = 4
Step-by-step explanation:
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.
Required:
Do the data provide statistically significant evidence at the 0.06 kevel that the average teaching stay in the metro Atlanta area is greater than the state average?
Answer:
The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.
Step-by-step explanation:
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more.
At the null hypothesis, we test if they pay the average, that is:
[tex]H_0: \mu = 48553[/tex]
At the alternate hypothesis, we test if they pay more, that is:
[tex]H_1: \mu > 48553[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
48553 is tested at the null hypothesis:
This means that [tex]\mu = 48553[/tex]
Sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.
This means that [tex]n = 228, X = 49021, \sigma = 3127[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{49021 - 48553}{\frac{3127}{\sqrt{228}}}[/tex]
[tex]z = 2.26[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 49021, which is 1 subtracted by the p-value of z = 2.26.
Looking at the z-table, z = 2.26 has a p-value of 0.9881
1 - 0.9881 = 0.0119
The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.
Answer:
it's D
Step-by-step explanation:
Latonya earns a gross annual salary of 61,870. If she is paid weekly, how much is her weekly gross paycheck?
A) 5,155.83
B) 2,577.92
C) 1 ,189.81
D) 1 ,237.40
Answer: C
Step-by-step explanation: 52 weeks in a year. 61870/52 is 1,189.81.
Pythagorean theorem , HELPPP
Answer:
A=150
Step-by-step explanation:
1/2ab=A
1/2 15x20 = 1/2 300 = 150 = A
Hope this Helps! :)
Answer:
Hypotenuse = 25
Step-by-step explanation:
Pythagorean theorem: a^2+b^2 = c^2
15^2+20^2 = c^2
225+400 = c^2
625 = c^2
25 = c
Plot and connect the points A(-6, 2), B(3, -6), C(-6, -6), and find the area of the triangle formed.
A.
36 square units
B.
72 square units
C.
4 square units
D.
12.5 square units
Divide the polynomials. If there is a remainder, enter the remainder in fraction form. x^4+3x^3-x-2/x+1
The polynomial x⁴ + 3x³ - x - 2 will have a remainder of 1 when divided by x + 1 and the result can be written in the form (x³ + 2x² + 2x - 3) + 1/(x + 1).
How to divide the polynomialUsing the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder
We shall divide the polynomial x⁴ + 3x³ - x - 2 by x + 1. as follows;
x⁴ divided by x equals x³
x + 1 multiplied by x³ equals x⁴ + x³
subtract x⁴ + x³ from x⁴ + 3x³ - x - 2 will result to 2x³ - x - 2
2x³ divided by x equals 2x²
x + 1 multiplied by 2x² equals 2x³ + 2x²
subtract 2x³ + 2x² from 2x³ - x - 2 will result to 2x² - x - 2
2x² divided by x equals 2x
x + 1 multiplied by 2x equals 2x² + 2x
subtract 2x² + 2x from 2x² - x - 2 will result to -3x - 2
-3x divided by x equals -3
x + 1 multiplied by -3 equals -3x - 3
subtract -3x - 3 from -3x - 2 will result to a remainder of 1.
Therefore, the polynomial x⁴ + 3x³ - x - 2 divided by x + 1 gives a quotient x³ + 2x² + 2x - 3 and a remainder of 1 and can be written as (x³ + 2x² + 2x - 3) + 1/(x + 1).
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what is 2/9s of 630
Answer: its 18.27
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000
Answer:
1.05
Step-by-step explanation:
it is 105 divided by 1000
Answer:
0.105 metres
Step-by-step explanation:
105 divided by 1000
A rectangular prism is shown below. What is the volume of the prism?
1/2yd
1/4yd
5/6yd
Answer:
Option B, 5/48 yd³
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{4} \times \frac{1}{2} [/tex]
[tex] = \frac{5}{4} [/tex]
A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)? (2 points)
answers:
2.3 x 107 J
2.6 x 107 J
4.3 x 107 J
6.7 x 107 J
Step-by-step explanation:
2.3 x 107 J is your correct Answerthe ratio of the length to the breadth of a room is 5:3 what is the length of the room if the breadth is 6m
According to the solving If the room's width is 6 meter's, then its length must be 10 meter's.
What is length?Distance is measured by length. The quantity of length has the dimension of distance there in International System of Quantities. Most measurement systems choose a base unit for length from which all subsequent units are derived. The metre serves as the fundamental unit of length in the International System of Units.
How do you determine length?If you have an area A and a width w, you can calculate the length w by using the formula h = A/w. Its length can indeed be calculated using the formula h = P/2w if you know its perimeter (P) and width (W). If you have the width w and the diagonal
According to the give information:
Let length be x By Given Condition
5/3=x/6
x=5/3*6
x=30/3=10
Therefore length of room is 10.
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what is 92,572 rounded to the nearest ten thousand
Answer: it is 90,000 i believe
Answer: 90,000
Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down
(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)
WHAT DO I PUT NO LINKS WILL BE REPORTED!! JUST GIVE ME THE NUMBERS AS A RATIO
Answer:
33
Step-by-step explanation:
48 - 15 = 33
Answer:
33??
Step-by-step explanation:
Audrey does babysitting on the weekends and receives $15 for 6 hours. At this rate, how much will she get for 8 hours?
Answer:
She makes 2.50 $ a hour and she will make 20 $ at 8 hours
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