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The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).

What is the equation of g(x)?

g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10

Answer:

-5.3.

Step-by-step explanation:

-8.6 + 2.3 + 1

= -6.3 + 1

= -5.3.

Answthat 16 is 42,

Step-by-step explanation:

Understand factoring. ...

Divide by the smallest prime number possible. ...

Rewrite the square root as a multiplication problem. ...

Repeat with one of the remaining numbers. ...

Finish simplifying by "pulling out" an integer. ...

Multiply integers together if there are more than one.

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the answer to C is 7/12

Answer:

Step-by-step explanation:

STEP 1:

-11b-4-(-b+3)....bracket the equation that you are subtracting and add a mins sign infront of the bracket because you are asked to subtract -b+3 from -11b-4.

STEP 2:

-11b-4+b-3

the minus sign infront of the bracket changes the minus sign to a positive (+)sign because a minus(-) timesed by a minus is a positive(+). and a minus timesed by a positive(+) is a negative(-)

STEP 3:

-10b-7

add the b values together(11b-b) = 10b

add the numericals together -4+(-3)= -7

STEP 4:

final answer is -10b-7

Answer:

(x - 6)² = - (y - 4)

The vertex of the parabola will be (6,4).

The x-intercepts are at (8,0) and (4,0).

Step-by-step explanation:

Given the equation of parabola is g(x) = y = - x² + 12x - 32 .......... (1)

Now, converting the equation to vertex form.

Here, y = - x² + 12x - 32

⇒ y = - (x² - 12x + 36) + 4

⇒ y - 4 = - (x - 6)²

⇒ (x - 6)² = - (y - 4) ........... (2) (Answer)

Now, the vertex of the parabola will be (6,4) and it opens down. (Answer)

Let the x-intercept of the parabola is at (h,0).

Hence, from equation (2) we get,

(h - 6)² = - (0 - 4) = 4

⇒ h - 6 = ± 2

⇒ h = 8 or h = 4

Therefore, the x-intercepts are at (8,0) and (4,0). (Answer)

If two or more points have the same domain or x value, then it is not a function because points cannot have identical x values, only y values.

With this in mind, C is not a function because there are two 4s in the domain.

So looking at this our answer would be C because when you are trying to find if it is not a function you have to look for repeated X values or domains if there I s a problem with a repeated X value that would not be a function but if the Y values were to repeated that doesn’t really matter so yeah. Hopefully this helps!

The triangle given has base 60 and height 45

The scale says "1 unit:5 meters" which means that each unit on the grid is 5 meters. We can divide each dimension of the given triangle by 5 so we figure out how many units we'll need for each dimension of the new smaller triangle (that is similar to the original)

60/5 = 12

45/5 = 9

The smaller triangle must have a base of 12 and a height of 9

See the diagram below.

The area of this new triangle is (base*height)/2 = (12*9)/2 = 108/2 = 54 square units.

Final answer:

To find percentages of numbers, convert the percent to a decimal and then multiply. To find the unknown quantity in an equation involving percentages, divide the given number by the percent expressed as a decimal.

Explanation:

To find 66 2/3 percent of 87, first convert the percent to a decimal by dividing it by 100: 66 2/3 ÷ 100 = 0.6667. Then multiply the decimal by 87: 0.6667 x 87 = 58.33. So, 66 2/3 percent of 87 is approximately 58.33.

To find 1 percent of 3,620, divide 3,620 by 100: 3,620 ÷ 100 = 36.2. So, 1 percent of 3,620 is 36.2.

To find x in the equation 62 1/2 percent of x is 5, first convert the percent to a decimal: 62 1/2 ÷ 100 = 0.625. Then divide 5 by the decimal: 5 ÷ 0.625 = 8. So, x is 8.

To find k in the equation 300 percent of k is 42, first divide 42 by 300: 42 ÷ 300 = 0.14. So, k is 0.14.

Answer:

What do u mean

Step-by-step explanation:

Is it

[tex]7 + 7 + 7 = 3x[/tex]

?

Answer:

Step-by-step explanation:

I've already answered this question.

Answer:

4

Step-by-step explanation:

8                   2                             8                     10             80                      8

-    divide     -  -------> KCF          -    multiply      -      =        -    simplify =     -  = 4

10                 10                            10                     2              20                      2

Answer:

200 marbles please rate brainliest

Step-by-step explanation:

Answer:

1.09 x 10^2

Step-by-step explanation:

1.39 x 10^6 / 1.27 x 10^4 = 1.09448818898

1.09448818898 is rounded 1.09

10^6-4 = 10^2

So, 1.09 x 10^2

The sun is approximately 109.29 times larger in diameter than the Earth.

To determine how many times larger in diameter the sun is compared to the Earth, we divide the diameter of the sun by the diameter of the Earth.

The diameter of the sun is 1.39 × 106 kilometers, while the diameter of the Earth is 1.27 × 104 kilometers.

Dividing the diameter of the sun by the diameter of the Earth, we get (1.39 × 106) / (1.27 × 104) = 109.29.

Therefore, the sun is approximately 109.29 times larger in diameter than the Earth.

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Answer:

X= -9/10

y= -2 3/5

Step-by-step explanation:

Multiply equation one by 4 and equation two by 3 to eliminate X

it becomes

-12x + 8y =-12

12x - 3y = -1

add equation one and two,

you'll be left with 5y= -13

divide both sides by 5

y = -13/5 improper fraction

= -2 3/5

Now substitut y = -2 3/5 into any of the original equations to get x.

using equation two, we have

4x -(-2 3/5) = -1

4x + 2 3/5 = -1

4x = -1 - 2 3/5

the LCM of 5 is 5 , so

4x = -5-13/5

4x = -18/5

crossmultiply

4x x 5 = -18

20x = -18

divide both sides by 20

we have x = -18/20, when you cancel further , you have x = -9/10

The cost of bench is 325.

Step-by-step explanation:

Given,

Combined cost of table and bench = 725

Let,

x be the cost of garden table

y be the cost of bench

According to given statement;

x+y=725         Eqn 1

x = y+75         Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](y+75)+y=725\\y+75+y=725\\2y=725-75\\2y=650[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{650}{2}\\y=325[/tex]

The cost of bench is 325.

Keywords: linear equation, substitution method

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Answer:

= 2/27 square root of 6

Step-by-step explanation:

:)

Answer:

2/27

Step-by-step explanation:

Answer:

[tex]\$60.35[/tex]

Step-by-step explanation:

step 1

Find the total amount of money worked

Multiply 6.5 hours by the rate $11.50 / hour.

[tex]6.5(11.50)=\$74.75[/tex]

step 2

Find the total cost of the dinner

Remember that

[tex]100\%+20\%=120\%=120/100=1.2[/tex]

so

the cost of the dinner plus the tip is equal to

[tex]\$12(1.2)=\$14.4[/tex]

step 3

Find the amount of money left

Subtract the total cost from the total amount of money

so

[tex]\$74.75-\$14.4=\$60.35[/tex]

Answer:

slope = 0

Step-by-step explanation:

The graph of g(x) is a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis it has a slope of zero

Answer:

Option d is incorrect.

Step-by-step explanation:

See the diagram attached.

a. [tex]\sin 30^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is correct.

Here, sin Ф is given by perpendicular divided by the hypotenuse.

b. [tex]\cos 60^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is also correct.

Here, cos Ф is given by base divided by the hypotenuse.

c. [tex]\sin 60^{\circ} = \frac{BC}{AC} = \frac{\sqrt{48}}{8}[/tex]. Hence, this is also correct.

d. [tex]\tan 30^{\circ} = \frac{AB}{BC} = \frac{4}{\sqrt{48}}[/tex]. Hence this is not correct.

Here, tan Ф is given by perpendicular divided by base.

Therefore, option d is incorrect. (Answer)

Answer:

19

Step-by-step explanation:

50% = 1/2

therefore 1/2 of 38

= 19

Answer: 19

Step-by-step explanation: We need to write 50% as a decimal by moving the decimal point 2 places to the right to get .50. Next, the word "of" means multiply, so we have (.50)(38) which is 19.

Answer:

472.5

Step-by-step explanation:

This one is simple.

They way you figure this out is your times the amount of money for the original cost by the discout so the equation is 630 times .25 equals 157.5. You then take that disount price and minus it from the original price, which is 630 so the eqation 630 minus 157.5 equals 472.5.

Hope this helps and have a great day

The equation of the line is y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The form of the linear equation is y = mx + b, where

∵ A line passes through points ( [tex]\frac{2}{5}[/tex] , 5) and ( [tex]-\frac{2}{5}[/tex] , 4)

∴ [tex]x_{1}[/tex] =  [tex]\frac{2}{5}[/tex]  and [tex]x_{2}[/tex]  =  [tex]-\frac{2}{5}[/tex]

∴ [tex]y_{1}[/tex] = 5  and  [tex]y_{2}[/tex] = 4

- Substitute them in the rule of the slope to find m

∵ [tex]m=\frac{4-5}{-\frac{2}{5}-\frac{2}{5} }[/tex]

∴ [tex]m=\frac{-1}{-\frac{4}{5}}=\frac{5}{4}[/tex]

- Substitute it in the form of the equation

∴ y = [tex]\frac{5}{4}[/tex] x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ Point ( [tex]\frac{2}{5}[/tex] , 5) lies on the line

∴ x = [tex]\frac{2}{5}[/tex]  and y = 5

∴ 5 = [tex]\frac{5}{4}[/tex] (  [tex]\frac{2}{5}[/tex] ) + b

∴ 5 = [tex]\frac{1}{2}[/tex] + b

- Subtract  [tex]\frac{1}{2}[/tex]  from both sides

∴ [tex]\frac{9}{2}[/tex]  = b

∴ y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{9}{2}[/tex]

The equation of the line is y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{9}{2}[/tex]

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Answer:

(3y^2+2x^3)(3y^2-2x^3)

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

4 goes into 9, two times which is why 2 is your whole number and 4 X 2 =8

The .25 is "4 x .25=1. And 8+1 equals 9.

Answer:

J=67

T=67

G=180-67-67

St=5

HJ=3.7

Step-by-step explanation:

The two triangles are equal.

Since the triangle at isosceles, two sides/angles are equal.

The measure of the angles and the sides are:

m∠J = 67

m∠T = 67

m∠G =46

ST = 5 cm

HJ = 3.7 cm

We have,

ΔGHJ ≡ Δ STU

This means,

The corresponding sides and angles are the same.

Now,

GH = ST = GJ = SU = 5cm

And,

HJ = TU = 3.7 cm

Now,

The sum of the angles in the triangle = 180

In GHJ,

m∠J = 67

This is because angles opposite to the equal sides are the same.

Now,

∠G + ∠H + ∠J = 180

∠G + 67 + 67 = 180

∠G = 180 - 134

m∠G = 46

And,

m∠T = 67

Since ΔGHJ ≡ Δ STU.

Thus,

The measure of the angles and the sides are:

m∠J = 67

m∠T = 67

m∠G =46

ST = 5 cm

HJ = 3.7 cm

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Answer: the one that has the correct notation form is correct

Step-by-step explanation: to the power is multilying

Tan(angle) = opposite / adjacent

Tan(angle) = 4/5

Angle = arctan(4/5)

Angle = 38.66

Angle = 38.7

Answer:

The co-ordinates which give the minimum value for the quadratic function are (-7, -47)

Step-by-step explanation:

i) the quadratic function f(x) = [tex]x^{2}[/tex]  + 14x + 2

                                             = [tex]x^{2}[/tex]  +   14x + 49 - 49 + 2

                                             =  [tex](x + 7)^{2}[/tex]   - 49 + 2

                                            = [tex](x+7)^{2}[/tex]  - 47

ii) The minimum value of the result of the quadratic equation in i) will be achieved when [tex](x + 7)^{2}[/tex] is zero as any square value is always positive and thus the minimum value of a square is always zero.

iii) [tex](x + 7)^{2}[/tex]  is zero when x  = -7 and when x = -7  then y = f(x) = -47

iv) The co-ordinates which give the minimum value for the quadratic function are (-7, -47)