Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Ok = -3
Ok = 1
Ok = 4
Ok=5
-8 -7
f(x)
-6 -5
y¹¹
-10
g(x)
4-
-3 -2 -1 0
-4-
-2
-3
-4
-5

Answer:

57,000

Step-by-step explanation:

Answer:

\(x > -1\\\)

Step by step explanation:

\(~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1\)

Answer:

• The x-variable will be eliminated when adding the system of equations.

• The sum of the system of equations is 4y = -12

Step-by-step explanation:

2x - 7y = -13

-2x + 11y = 1

---------------------

Adding the equations

4y = -12

y = -3

x = -17

-----------------------

• The x-variable will be eliminated when adding the system of equations.

• The sum of the system of equations is 4y = -12

Answer:

The correct answer is A and C

Step-by-step explanation:

I took the test and got 100%

Answer:

Subtract 5x

Step-by-step explanation:

Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!

Answer:

this is what i used as my answer on the advice i would give tucker for what to do as his first step.

Step-by-step explanation:

i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.

Either first step will isolate the variable.

Answer:

d

Step-by-step explanation:

f(x)-g(x)=2x²+4x-6-[2x²+2x+8]=2x²+4x-6-2x²-2x-8=2x-14

The four winning numbers are 24, 32, 27 and 37 respectively

It is important to note the following;

From the information given;

a. First number =  square root of 576

This is represented as

First number = √576

First number = 24

b. Second number =  multiple of 8 between 30 and 39

Second number = 32

c. Third number =  cube of 3

This is represented as;

Third number =  3³

Third number =  37

d. largest prime number less than 40

Fourth number = 37

Hence, the numbers are 24, 32, 27 and 37

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Answer:

a49%, 1/2,0.55,3/5

b)0.2,1/4,27%,3/10

c)9/10,95%,0.99,97/100

d)30%,1/3,0.6,2/3

e)0.09,10%,11/100,0.125

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Answer:

-82.9675 is the mean

Step-by-step explanation:

Hope this helps :) and if it doesn't I am sorry for disappointing you :(

Answer:

x= $4.25

$4.25 per sundae

Step-by-step explanation:

The equation is 8.25 + 6x = 33.37

subtract 8.25 from both sides

6x=25.5

Divide each side by 6

x=4.25

The value of permutation expression ₅₉P₂ is 3422.

A permutation is an arrangement of objects in a definite order.

To find the value of ₅₉P₂, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.

Given that,

We have a formula A = 1/2bh

We have to find h value from the formula.

We know that,

The variable h should be on one side of the equation, and the rest should be on the other. Divide the two sides in half as a good place to start. In this way, we eliminate the undesirable fraction.

A / 1/2 = 1/2bh / 1/2

Now on the right hand side left the 1/2 cancels out.

A / 1/2 = bh

And when a fraction is divided, the result is the same as multiplying it backwards.

A(2/1) = bh

Now, divide both sides by b.

A(2) / b = bh/b

On the left hand side b cancels out and we are left with the final product.

h = A(2) / b

Therefore, The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.

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Answer:Its letter b i think

Step-by-step explanation:

The least among all 4 integers such that they sum up to 100 will be 22.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer; ....-2 , -1 , 0 , 1 , 2 , .....

Integers are non-decimal numbers and all integers are rational numbers.

Suppose the first integer is x.

The next three digits will be, x + 2, x + 4, and x + 6 correspondings.

Sum x + x + 2 + x + 4 + x + 6 = 100

(x + x + x + x) + (2 + 4 + 6) = 100

4x + 12 = 100

4x = 88

x = 22

Hence"The smallest of the four integers that add up to 100 is 22".

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Answer:

Step-by-step explanation:

Answer:

13.8h-2.3hk

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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John and Mary collect £675 and £270 in ticket sales.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given,

The ratio of the john and Mary sell is 5:2.

Ticket cost = £4.50

If each ticket costs  £4.50 and John sells 150 tickets as a result the amount that John earns,

Amount John earns =  £4.50× 150

Amount John earns = £675

If John earns £675 by the ratio the amount Mary earn is found as,

5x = £675

x = 135

The amount Marry earns,

2 x = 2 × 135

Amount Marry earns = 270

Hence, John and Mary collect £675 and £270 in ticket sales.

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Answer:

Step-by-step explanation:

Solve for y:

Add - 2x to both sides

or

Answer:

Step-by-step explanation:

The triangles are similar.

x/(x+4) = 7.2/12

x/(x+4) = 0.6

x = 0.6(x+4)

0.4x + 2.4

x = 6

Answer:

n = 4

Step-by-step explanation:

We are given the equation 7n - 2 = 5n + 6, ans we want to solve it for n.

To do this, we need to isolate n one one side.

Let's start by adding 2 to both sides.

7n - 2 = 5n + 6

   +2           +2

_______________

7n = 5n + 8

Now, subtract 5n from both sides.

7n = 5n + 8

-5n   -5n

_______________

2n = 8

Divide both sides by 8 to get the value of n.

2n = 8

÷2   ÷2

________

n = 4

Answer:

1.23

Step-by-step explanation:

11.931 divided by 9.7 is 1.23.

97 × 123 = 11,931

so

9.7 × 123 = 1,193.1

To move the decimal point in 1,193.1 to the left two more times, the decimal point in 123 must also move to the left two times. So

9.7 × 1.23 = 11.931

Answer:

Step-by-step explanation:

Since order does not matter \(_{12}C_3\\ \\ \frac{12!}{3!9!}\\ \\ 220\)

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

\(pX = \frac{68}{86} = 0.7907\)

\(sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439\)

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

\(pY = \frac{105}{120} = 0.875\)

\(sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302\)

Difference:

\(p = pX - pY = 0.7907 - 0.875 = -0.0843\)

\(s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533\)

Confidence interval:

\(p \pm zs\)

In which z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\), with \(\alpha\) being 1 subtracted by the confidence level.

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Lower bound of the interval:

\(p - zs = -0.0843 - 1.96*0.0533 = -0.1888\)

Upper bound of the interval:

\(p + zs = -0.0843 + 1.96*0.0533 = 0.0202\)

The 95% confidence interval for the difference is (-0.1888, 0.0202).