What will be the new function g(c) if f(x) = 2^x is translated 2 units down and
3 units left?

The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

What is the definition of a linear equation?

It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.

When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.

The four graph are attached in the attachment.

Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

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In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)

To answer the question, we need to know what dilation is

Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.

For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).

Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).

Since

The new coordinates of A' = (kx, ky)

= (3 × -1, 3 × 2)

= (-3, 6)

So, A' will be located at (-3, 6)

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Answer:

[tex]a = \frac{7b}{5} -11[/tex]

Answer:

the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.

and the 1/2 of this in the group Is 9

Answer:

3

Step-by-step explanation:

32 - 5v = 3v + 8

Subtract V from both sides

So . .

= 32 -8v = 8

Now . .

Subtract 32 from both sides

Now divide to get your answer!

-24 / -8 = 3

Answer:

[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]

Explanation:

[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]

Find slope:

[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer: -1/3

Step-by-step explanation:

The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.

answer = 70

top triangle

1/2 times 5 times 5 = 12.5

12.5 times 2 = 25

bottom

14 - 5 = 9

1/2 times 5 × 9 = 22.5

22.5 times 2 = 45

45 + 25 = 70

The area of the kite is [tex]70in^2[/tex]

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Given;

[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]

[tex]70_2=140[/tex]

Therfore, the area of the kite is [tex]70in^2[/tex]

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Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

The square root of 3415 is 58.438001334748

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]

Therefore,

Answer:

Y=3

Step-by-step explanation:

please mark brainliest

Answer:

Y = 3

If you need me to explain it step by step lmk.

Answer:

[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Answer:

[tex]x-8y=-24[/tex]

Step-by-step explanation:

Standard form of a linear equation:  [tex]Ax+By=C[/tex]

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

[tex]y=\dfrac{1}{8}x+3[/tex]

Multiply both sides by 8:

[tex]\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3[/tex]

[tex]\implies 8y=x+24[/tex]

Subtract 8y from both sides:

[tex]\implies 8y-8y=x+24-8y[/tex]

[tex]\implies 0=x+24-8y[/tex]

Subtract 24 from both sides:

[tex]\implies 0-24=x+24-8y-24[/tex]

[tex]\implies -24=x-8y[/tex]

In standard form:

[tex]\implies x-8y=-24[/tex]

Based on the information above, the main argument of this paper is that violent video games should be banned for teenagers because they have negative effects on their behavior.

The excerpts focus on two main arguments which are:

According to the above, the claims and arguments would be as follows:

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Answer:

Step-by-step explanation:

I calculated it.

Answer:

the answer is 21

21

Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.

The Porches work 80% of the time and the Ferraris work 60% of the time.

Using the binomial distribution, the probability that half the Porches work is:

= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾

= 0.9728

The probability that half the Ferraris work is:

= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾

= 0.84

The probability that only half of both will work is:

= 0.9728 x 0.84

= 0.8172

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Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle

The volume of the stump in cubic inches is 18095.6  if the Ashley measures its height as 1.2 ft and its radius as 20 in.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have h = 1.2 ft = 1.2×12 = 14.4 inches

r = 20 inches

[tex]\rm V = \pi (20)^2 \times 14.4[/tex]

After calculating, we get:

V = 18095.57 ≈ 18095.6 cubic inches

Thus, the volume of the stump in cubic inches is 18095.6  if the Ashley measures its height as 1.2 ft and its radius as 20 in.

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Answer:

Step-by-step explanation:

2

Answer:

5x - 8y =17

y+5 =3x

Answer | (3,4)

Step-by-step explanation:

I used a calculator

7y - (4y - 14) = 23

---Distribute the negative sign into the terms in the parentheses

7y - 4y + 14 = 23

---Combine like terms

3y + 14 = 23

---Subtract 14 from both sides

3y = 9

---Divide both sides by 3

y = 3

Answer: y = 3

Answer Choice: A, 3

Hope this helps!

Answer:

A. The solution is y = 3.

Step-by-step explanation:

Given

Distribute the value to the terms in parentheses.

Simplify like terms and subtract 14 from each side.

Divide by 3 on each side.

A. The solution is y = 3.

Answer:

Choice D, 20 inches.

Step-by-step explanation:

The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]

c = [tex]\sqrt{9 + 16}[/tex]

c = [tex]\sqrt{25}[/tex]

c = 5

The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.

Answer:

D. 20 in

Step-by-step explanation:

Finding the side of the rhombus :

Perimeter :

Answer:

7

Step-by-step explanation:

The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.

Answer:

7

Step-by-step explanation:

3, 3, 5, 7, 8, 9, 11

7 is in the middle.

Answer:

9.6 ft.

Step-by-step explanation:

Given they are similar, take the sides of the triangles in proportion.

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]

The expression (x⁹)/(x²)  in single exponent is x⁷.

To write the expression (x⁹)/(x²) using a single exponent

we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:

[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]

(x⁹)/(x²)

= x⁹⁻²

= x⁷

Therefore, the expression (x⁹)/(x²)  can be simplified to x⁷.

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Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.

The period of a function is given by the distance between it's repetitions.

In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.

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Answer:

(0, -3, 2)

(0, -3, 0)

(-4, 0, 2)

Corner where 2 or more edges meet.

If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given

[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]

be the two points.

The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.

Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,

[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]

Jeff has 2 1/2 cups of strawberries. In the fractional number,

[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]

Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,

[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]

Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

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