Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.

Answer:

3. 113.04

4. 137.1

5. $9.24

Answer:

3. 113.04

4. 137.1

5. $9.24

Answer:

4. vertical translation 4 units down

6. horizontal translation 2 units to the right

Step-by-step explanation:

Given [tex]f(x)=7^x[/tex] and [tex]g(x)=7^{x+2}-4[/tex]

1. Adding 2 to x means horizontal translation 2 units to the right.

2. Subtracting 4 from the function [tex]7^{x+2}[/tex] means vertical translation 4 units down.

So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.

Answer:the answers are “ horizontal translation 2 units left” and “ vertical translation 4 units down” :)

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Note the common ratio r between consecutive terms of the sequence

r = 6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2, thus

[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex] ← explicit rule

Answer:

The correct answer is D. 69

Step-by-step explanation:

Let's recall that if an exterior angle has its vertex where two rays share an endpoint outside a circle, the measure of that exterior angle is found by dividing the difference between the measures of the intercepted arcs by two.

Therefore, we have:

x = (Measure of arch CD - Measure of arch BD)/2

Replacing with the real values:

x = (210 - 72)/2

x = 138/2 = 69°

The correct answer is D. 69

Answer: The answer is A my friend.

Step-by-step explanation:

All possible outcomes:

Yellow shirt, white trouser

Yellow shirt, black trouser

Green shirt, white trouser

Green shirt, black trouser

Hope this helps. Please hit the thanks button if it is right. I would appreciate it. :)

Answer:

47

Step-by-step explanation:

Let a, b, and c be those three numbers.

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let

[tex]a+b=32\\ \\a+c=39\\ \\b+c=23[/tex]

Add these three equations:

[tex]a+b+a+c+b+c=32+39+23\\ \\2a+2b+2c=94[/tex]

Divide this equation by 2:

[tex]a+b+c=47[/tex]

The sum of all three numbers is 47.

Equation #1: x+y=40

Equation #2: 7x+4y=193

Monica bought 11 red bricks.

Step-by-step explanation:

Given,

Cost of one red brick = $7

Cost of one gray brick = $4

Total spent on bricks = $193

Total bricks bought = 40

Let,

x represents the number of red bricks bought.

y represents the number of gray bricks bought.

What is the system that models this situation?

Equation #1: x+y=40

Equation #2: 7x+4y=193

How many red bricks did Monica purchase?

Multiplying Eqn 1 by 4

[tex]4(x+y=40)\\4x+4y=160\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](7x+4y)-(4x+4y)=193-160\\7x+4y-4x-4y=33\\3x=33[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{33}{3}\\x=11[/tex]

Monica bought 11 red bricks.

Keywords: linear equation, elimination method

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Answer:

[tex]\large\boxed{\int\bigg(x(x-6)^3\bigg)dx=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C}[/tex]

Step-by-step explanation:

[tex]\int\bigg(x(x-6)^3\bigg)dx\Rightarrow\left[\begin{array}{ccc}x-6=u\\x=u+6\\dx=du\end{array}\right]\Rightarrow\int\bigg((u+6)u^3\bigg)du\\\\=\int(u^4+6u^3)du=\dfrac{1}{5}u^5+\dfrac{6}{4}u^4+C=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C[/tex]

Answer:

$318.79

Step-by-step explanation:

To do this problem, to find the real end amount paid, you must add up all the prices and add the sales tax. To do this, you add them to 296.55, and multiply it by the decimal form of the sales tax added to 1, so 1.075 which is 318.791 rounded to 318.79

Answer:

[tex]\large \boxed{5.0 \, \% }[/tex]

Step-by-step explanation:

1. Calculate the amount of tax

    Total cost = selling price + sales tax

     Sales tax = total cost - selling price

     Total cost = $651

-Selling price = - 620

       Sales tax = $  31

2. Calculate the percent tax

[tex]\text{\% Tax} = \dfrac{\text{\$31}}{\text{\$620}} \times 100 \, \% = \mathbf{5.0 \, \%}\\\\ \text{The sales tax percentage is $\large \boxed{\mathbf{5.0 \, \% }}$}[/tex]

Answer:

The price of each CD before tax was $15.30.

Step-by-step explanation:

Given:

Miguel bought 6 CDs that were each the same price.

Including sales tax, he paid a total of $99.60.

Each CD had a tax of $1.30.

Now, to find the price of each CD before tax:

So, to get the price of 1 CD including tax by using unitary method:

Total price of 6 CDs including tax = $99.60.

So, the price of 1 CD including the sales tax = $99.60 ÷ 6 = $16.60.

Thus, the price of each CD including tax = $16.60.

Tax  on each CD = $1.30.

Now, by subtracting we get the price of each CD before tax:

[tex]\$16.60-\$1.30[/tex]

[tex]=\$15.30.[/tex]

Therefore, the price of each CD before tax was $15.30.

Answer:

13

Step-by-step explanation:

16-3+= 13

                              Question # 1 (Top Left)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

The missing side x can be calculated by the formula:

sinФ = opposite ÷ hypotenuse

sin(29°) = x ÷ 3

0.4848 = x ÷ 3

x ÷ 3 = 0.4848

x = 0.4848 × 3

x = 1.45 cm

Hence, x = 1.45 cm is the length of missing side.

                                 Question # 2 (Top Center)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

The missing side x can be calculated by the formula:

tanФ = opposite ÷ adjacent

tan(21°) = x ÷ 4

0.3838 = x ÷ 4

x ÷ 4 = 0.3838

x = 0.3838 × 3

x = 1.15 cm

Hence, x = 1.15 cm is the length of missing side.

                             Question # 3 (Top Right)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

The missing side x can be calculated by the formula:

cosФ = adjacent ÷ hypotenuse

cos(66°) = x ÷ 8

0.4067 = x ÷ 8

x ÷ 8 = 0.4067

x = 0.4067 × 8

x = 3.25 cm

Hence, x = 3.25 cm is the length of missing side.

                           Question # 4 (Bottom Right)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

The missing side x can be calculated by the formula:

cosФ = adjacent ÷ hypotenuse

cos(29°) = 3.7 ÷ x

0.8746 = 3.7 ÷ x

x = 3.7 ÷ 0.8746

x = 4.23 cm

Hence, x = 4.23 cm is the length of missing side.

                                      Question # 5 (Bottom Center)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

The missing side x can be calculated by the formula:

sinФ = opposite ÷ hypotenuse

sin(37°) = 5.1 ÷ x

0.6018 = 5.1 ÷ x

x  = 5.1 ÷ 0.6018

x = 8.47 cm

Hence, x = 8.47 cm is the length of missing side.

                              Question # 6 (Bottom Right)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

The missing side x can be calculated by the formula:

tanФ = opposite ÷ adjacent

tan(54°) = x ÷ 5.9

1.3763 = x ÷ 5.9

x ÷ 5.9 = 1.3763

x = 1.3763 × 5.9

x = 8.12 cm

Hence, x = 8.12 cm is the length of missing side.

Keywords: missing angle, tanФ, cosФ, sinФ, hypotenuse

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Answer:

c) supply

Step-by-step explanation:

Answer:

supply

Step-by-step explanation:

The figure is a 4 sided pyramid, so it has 4 triangles and the base is square.

The net would be the lower left one.

Answer:

C

Step-by-step explanation:

The Neolithic Revolution allowed people to live in permanent settlements.

Explanation:

The Neolithic Revolution is the phase of transition in which many of the human cultures in the world shifted their lifestyle to permanent settlement and agriculture from hunting and gathering.

This era is also named as First Agricultural Revolution or Neolithic Demographic Transition. The agricultural practices led the cultures to develop the knowledge of domestication of animals and they began to observe and experiment with the plants (to learn or know how they grow and develop).

Neolithic period is named as revolution because this period changed the way of life of most of the communities. This first occurred in so-called "Fertile Crescent" or Mesopotamia (modern Iraq).

The Neolithic Revolution allowed people to live in permanent settlements.

Answer: Option B

Step-by-step explanation:

The rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm²/min.

Using the formula for a triangle's area, A = (1/2) × base × height, we can determine rate of the triangle's area changes.

We can describe the rate of change of the base as db/dt = -1 cm/min (negative because it is shrinking) given that the base is shrinking at a rate of 1 cm/min.

The height is increasing at a rate of 5 cm/min, so the rate of change of the height can be expressed as dh/dt = 5 cm/min.

We must determine dA/dt for h = 22 cm and b = 10 cm in order to determine the rate at which the triangle's area changes at these two points.

We can start by differentiating the area formula with respect to time (t):

dA/dt = (1/2) × (db/dt × h + b × dh/dt)

Substituting the given values:

dA/dt = (1/2) × (-1 cm/min × 22 cm + 10 cm × 5 cm/min)

Simplifying:

dA/dt = (1/2) × (-22 cm/min + 50 cm/min)

= (1/2) × 28 cm/min

= 14 cm/min

Therefore, the rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm/min.

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The rate at which the area of the triangle changes is 2 cm²/min. This is found by applying the chain rule of differentiation to the triangle area formula, substituting the given values and rates, and simplifying.

The subject of this question is rate of change in context of the Triangle Area Formula: 1/2 * base * height. Given that the base is shrinking at a rate of 1cm per minute (1 cm/min) and the height is increasing at a rate of 5 cm/min, we can express this rate of change in the formula. A negative sign is used for the base because the base length is decreasing.

To find the rate of change in the area, use the chain rule of differentiation, leading to the formula (-1/2 * height * db/dt) + (1/2 * base * dh/dt). When the height is 22 cm and the base is 10 cm, substituting these values along with the rates at which the base and height are changing, the formula becomes (-1/2 * 22cm * 1 cm/min) + (1/2 * 10cm * 5 cm/min). Simplify to find that the area of the triangle is changing at 2 cm²/min.

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Answer:

Multiplying 8 by 3 will give the same quotient.

Step-by-step explanation:

We have to find the quotient of 8 divided by [tex]\frac{1}{3}[/tex], so, we have to follow the following steps.

[tex]8 \div \frac{1}{3} = \frac{8}{\frac{1}{3}} = 8 \times 3 = 24[/tex]

So, it is clear from the above steps that dividing 8 by [tex]\frac{1}{3}[/tex] is equivalent to multiplying 8 by 3.

Therefore, multiplying 8 by 3 will give the same quotient. (Answer)

Answer:

3/4 divied by 8 im sorry if it wrong im not to smart cuz my mom or dad doesnt help me :( and im homeschooled

Step-by-step explanation:

Answer:

one number is 90 and the other one 9

Step-by-step explanation:

Let's refer to the larger number as "x", and the smaller as "y", so we can create equations with those unknowns and solve them algebraically.

Now let's write the first phrase we are given in mathematical form:

"One number is 10 times as large as another one"

Remember that our larger number is "x", so the first equation out of this phrase is:

x = 10 * y

Now for the second phrase:

"Their difference is 81"

Here we need to make the difference setting the larger number first (x), minus the smaller number (y), so as to get a positive difference of 81 units:

x - y =81

now we solve this system by substituting "x" in the second equation with "10 * y" according to what our first equation states:

10 y - y = 81

9 y = 81

y = 81/9

y = 9

and therefore now that we know the value of number y (9) we can go back to the first equation to find what number "x" is:

x = 10 * (9)

x = 90

Finally: x = 90, and y = 9

Answer:

2/13

Step-by-step explanation:

There are 4 kings and 4 queens in a standard deck of 52 cards.  So the probability is:

P = 8/52

P = 2/13

Answer:

$545

Step-by-step explanation:

Let the total cost per year be y.

He spent a flat amount of $125 per year.

Then he spend an additional $35 per months. There are 12 months in a year so that's a total of 35*12=$420.

Add up the cost

y = 125 + 420 = $545

Answer:

15×2x

Step-by-step explanation:

Answer:

15 more than twice a number if it is a certain number u would multiply 15 times what ever number u chose

Step-by-step explanation:

Answer:

Farrah purchased the car in 2016 at the price of $22,440.

Step-by-step explanation:

Given:

Cost of the car in 2017 = $20,140

Depreciation in the cost after 2016 was = $2300

To find cost of the car in 2016.

Solution:

Let cost of the car in dollars in 2016 be = [tex]x[/tex]

Depreciation in value after a year was by = $2300

Thus, cost of car in dollars in 2017 will be = [tex]Original\ cost-Depreciation\ =x-2300[/tex]

Given cost of car in 2017 = $20,140

So, we have:

[tex]x-2300=20140[/tex]

Solving for [tex]x[/tex]

Adding 2300 both sides.

[tex]x-2300+2300=20140+2300[/tex]

∴ [tex]x=22440[/tex]

Thus, cost of the car in 2016 was = $22,440

The figure/drawing isn't needed to answer this question.

The question tells us ABCD ~ WXYZ, which means trapezoid ABCD is similar to WXYZ.

Point A corresponds to point W, B corresponds with X, C corresponds with Y, and D corresponds with Z (first, second, third, and last letters correspond with each other according to the similarity statement).

Now let's check each answer choice and see which applies to these similar trapezoids:

Let me know if you need any clarifications, thanks!

Answer:

c kd kjdkwj

Step-by-step explanation:

jc kjkd ndjfhcajhd,cm sdnfj vkdshf vndc jdsfhbv

Step-by-step explanation:

Compare the ratios of their heights, widths, and lengths.  If they're the same, then the solids are similar.

10/5 = 2

6/3 = 2

6/3 = 2

The ratios are the same, so the solids are similar.

Answer: 147

Step-by-step explanation:

Supplementary: Angles that equal 180

180-33=147

147+33=180

The measure of supplement angle X is 147°.

Given that, angle X and angle Y are supplementary angles.

Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.

Here,

∠X+∠Y=180°

⇒ ∠X+33°=180°

⇒ ∠X=180°-33°

⇒ ∠X=147°

Hence, the measure of supplement angle X is 147°.

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Answer:

20*2 is 40

add 4?

its 44

Answer:

44

Step-by-step explanation:

20 * 2 = 40

40 + 4 = 44

Hope this helps :)

Answer:

In the quotient [tex]x^4+2x^3+x^2+5x+10=0[/tex] , the coefficient of x is 5.

Step-by-step explanation:

Given rational expression is [tex]\frac{-x^5+3x^3-3x^2+20}{x-2}[/tex]

Nicolette used synthetic division to solve the given rational expression.

Nicolette's work is given below:

Given that x-2 is a zero of given rational expression

By using synthetic division for the given rational expression.

2_|        -1     0     3     -3       0       20

             0   -2     -4    -2     -10      -20

 ____________________________

           -1      -2     -1     -5    -10     |  0

Therefore the simplified expression can be written as below

[tex]-x^4-2x^3-x^2-5x-10=0[/tex]

Taking negative sign outside.

[tex]-(x^4+2x^3+x^2+5x+10)=0[/tex]

Multiply negative sign with "0" we get "0"

Therefore [tex]x^4+2x^3+x^2+5x+10=0[/tex]

In the quotient [tex]x^4+2x^3+x^2+5x+10=0[/tex], the coefficient of x is 5.

Answer:

you can make 14 muffins

Step-by-step explanation:

To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)

Answer:

x=-2

Step-by-step explanation:

4x (+ 5-5) = -3-5

4x = -8

4x/4 = -8/4

x=-2

4(-2) + 5= -3

-8 + 5 = -3

-3 = -3

Answer is Correct.

Answer:

[tex] \: \: \: \: \: \: 4x + 5 = - 3 \\ = > 4x = -3 - 5 \\ = > 4x = - 8 \\ = > x = \frac{ - 8}{4} \\ = > x > - 2[/tex]