The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
A.
g(x) = 5^(7x)
B.
g(x) = 7(5^x)
C.
g(x) = 7^(5x)
D.
g(x) = 5(7^x)

Answer:

Step-by-step explanation:

Reflection over x-axis results in coordinate change as follows:

Given points:

The image of AB will have coordinates:

Correct choice is 1.

Answer:

(-3,2) and (-1,2)

Step-by-step explanation: I took the test already and got this correct crazy to find  this question 2 days later.

Answer:

26.95

Step-by-step explanation:

you have to multiplies 9.8 ×2.75

Answer:

b is the answer

Step-by-step explanation:

Answer: d = 1/4

Step-by-step explanation:

−16(d+1)=−20

Step 1: Simplify both sides of the equation.

−16(d+1)=−20

(−16)(d)+(−16)(1)=−20(Distribute)

−16d+−16=−20

−16d−16=−20

Step 2: Add 16 to both sides.

−16d−16+16=−20+16

−16d=−4

Step 3: Divide both sides by -16.

-16d = -4

-16     -16

d = 1/4

Hope this helps :)

Answer:

d=1/4 or .25

Step-by-step explanation:

-16(d+1)=-20

-16d-16=-20

-16d=-20+16

-16d/-16=-4/-16

d= 1/4 or .25

Answer:

14

Step-by-step explanation:

There are infinity equivalent fractions to 13

14

. See some examples:

13

14

26

28

39

42

52

56

65

70

78

84

91

98

104

112

117

126

130

140

143

154

156

168

169

182

182

196

195

210

208

224

221

238

234

252

247

266

260

280

...

The fraction equivalent of 13/14% is 13/1400.

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

So as per the question, the fraction equivalent of the given number will be

13/14% i.e 13/1400.

Now we have a rational number with us, the equivalent fraction can be obtained by multiplying similar numbers in both the numerator and denominator.

so if we multiply by 2 on both sides the fraction we get will be 26/2800.

so if we multiply by 10 on both sides the fraction we get will be 130/14000.

Hence we will get an infinite number of fractions equivalent to 13/14%.  
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Answer:

y = -2

Step-by-step explanation:

First step: simplify the equation. 12y + 72 = 48

Second step: Combine like terms: 12y = -24

Final step: Use division property of equality: y = -2

ANSWER: y = -2

Hope this helped,

Philip

Brainliest always appreciated! <3

Answer:

A

Step-by-step explanation:

Answer:

For 6 days

Step-by-step explanation:

Here, we want to find the number of days at which Australia will have a bigger temperature or the same temperature as US

95 degrees, decreasing at 4 degrees per day

40 degrees, increasing at a rate of 5 degrees per day

let the number of days be x

In x days, temperature of Australia will be 95-4x

In x days, temperature of US will be 40 + 5x

For the temperature to be same;

40 + 5x = 95 - 4x

95-40 = 5x + 4x

9x = 55

x = 55/9

x = 6.111 which is approximately 6

For 6 days, the temperature in Australia will be warmer , on the 7th day, the US temperature becomes warmer

Answer:

11.5962

Step-by-step explanation:

2.31 of 5.02

In mathematics, saying "of" is the same as multiplying the two values, hence the problem is;

2.31 * 5.02

= 11.5962

Answer:

34.56

Step-by-step explanation:

Answer:

25x

Step-by-step explanation:

The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost per cake = £54

15% of £54 = 0.15 x 54 = £8.1

Selling price = £54 + £8.1 = £62.1

Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1".

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Answer:

yo i only got number 4 for you but here it goes.......: 0.70x+18y-5

Step-by-step explanation:

(0.75x  -  12y) + (-5  +  6y  -  0.5x)

regroup to the variables : (0.70x-0.5x) + (12y+ 6y-5)

put it together: (0.70x)+(18y-5)

you cant add unlike terms so you remove the parenthesies and your done.

Answer:

125.7cm²

Step-by-step explanation:

Given parameters:

Slant height, L = 6cm

Base radius  = 4cm

Unknown:

Total surface area = ?

Solution:

To find the total surface area, we use the expression;

      Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL  

Now insert the parameters and solve

   Surface area = [tex]\pi[/tex]r(r + L )

    Surface area  =  [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10  = 125.7cm²

Answer:

2x^2 - 2x + 5

Step-by-step explanation:

so the south side is the bottom of the rectangle

you just add all the expressions given on the bottom which are

5x +2 , x^2 - 9 , x^2 - 7x + 12

so add 5x +2 + x^2 - 9 + x^2 - 7x + 12

add like terms and you get

2x^2 - 2x + 5

I hope that makes sense :)

Answer:

6x > 5x + 1

Step-by-step explanation:

6 times a number is 6x

is greater than is 6x >

than five time the number is 5x

plus one is 5x +1

all together it is 6x > 5x + 1

Answer: just to give person above brainliest.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

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Answer:

[tex]\frac{x^{2} }{576y^4}[/tex]

Step-by-step explanation:

Anything to the power of 0 becomes the number 1

[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]

it is proportional

cause it is trust me

Answer: it's proportional

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Equation of A is

y = 0.0105x

Equation of B is

y = 0.01

B is smaller than A

Answer:

Step-by-step explanation:

Given the relationship of the dogs weight ang its age modeled by the equation;

w = 6m+4

m represents its age in months, and;

w represents its weight in pounds

Given

w = 58pounds

Required

number of months m before the dog weigh 58pounds;

Substitute w = 58 into the function and get m as shown;

w = 6m + 4

58 = 6m + 4

subtract 4 from both sides

58-4 = 6m+4-4

54 = 6m

divide both sides by 6

54/6 = 6m/6

9 = m

m = 9

Hence it will take 9months before the dog will weigh 58 pounds

Answer:

30

Step-by-step explanation:

A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30

Answer:

Its 30 btw :D

Step-by-step explanation:

Answer:

The value of the expression [tex](12/64)^{0}[/tex] is equal to 1

Step-by-step explanation:

You can get this answer two ways:

1. Simply plug in [tex](12/64)^{0}[/tex] into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.

2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.

Hope this helps!

Answer:

A = 25 ft²

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Define

x = 5 ft

Step 2: Find Area

Answer:

A) 12.5 per hour. Slope: y = 12.5x

B)500x or Next - Now = 500x = 1,360

C) y = 12.5 + 360

Step-by-step explanation:

A) 360 in account, 40 hour then she has 860.

Find the unit amount so to find how much she gets per hour you have to find the unit amount.

Since she had a total of 860 but she already had 360, subtract 860 - 360 = 500. Now divide by 40: 500/40 = 12.5. (that's how much she gets per hour.)

B) Next , Now

Next she will make 500 every 40 hours so after that she'll have 1.360 in her account.

Equation: Next,Now

So it's the rate of change which will be 500 per 40 hours. so the rate of change is 500x

C) equation:

Rate of change 12.5 per hour

Y- intercept is 360 since that's what she had in her account so,

y = 12.5x + 360

Answer:

when you find out let me know pls. thanks.

have a great day and good luck

Step-by-step explanation:

Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = [tex]180^{0}[/tex]

<B + <C + <D =  [tex]180^{0}[/tex]

⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]

⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]

⇒ [tex]x^{0}=56^{0}[/tex]

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

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