Please help if you can

Answer:

y=X+7

Step-by-step explanation:

(-1, 6)

1x up 1 over 1

y=mx+b

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

Plug 6 for y, and 1 for x.

Like this [tex]6=x (+-)#[/tex]#

We know x is -1. 6=(-1*1)+#

6=-1+#

y=X+7

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

-1*1+7=6

The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]  is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

"The inverse function of a function f (also called the inverse of f ) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by  [tex]f^{-1}[/tex]."

We have

[tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]

Replace g(x) with y

[tex]y =[/tex] [tex]\frac{x^{3} }{8}+16[/tex]

Interchange the variables

[tex]x= \frac{y^{3} }{8}+16[/tex]

Rewrite the equation as

[tex]\frac{y^{3} }{8}+16= x[/tex]

⇒[tex]\frac{y^{3} }{8}= x-16[/tex]

Multiply both sides of the equation by 8

[tex]8.\frac{y^{3} }{8}=8(x-16)[/tex]

⇒[tex]{y^{3} }=8(x-16)[/tex]

⇒[tex]{y^{3} }=8x-128[/tex]

⇒[tex]{y} }=\sqrt[3]{8x-128}[/tex]

⇒[tex]{y} }=2\sqrt[3]{x-6}[/tex]

Replace y with [tex]g^{-1}(x)[/tex]

⇒[tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

Hence, The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex] is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

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Answer:

A statistical question

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

a)  0

b) -5

Step-by-step explanation:

We want to find f(x) = -4

This means find the value of x  where y=-4

The value of x  where y=-4 is x=0

Then find f(2)

This means find the value of y when x =2

The value of y when x=2 is -5

Answer:

3x+4

Step-by-step explanation:

3 ft every second is the rate of change or the slope. 4 ft above the ground is the y-intercept.

Answer:

y=3x+4

Step-by-step explanation:

3x is 3 feet multiplied by however many seconds

4 is the additional 4 feet that the balloon had started at

Answer:

Prime numbes

Step-by-step explanation:

Numbers whose only factors are 1 and itself are called prime numbers.

Such numbers have only two factors.

Examples are: 2, 3, 5, 7 ,9... etc.

Answer:

Prime numbers

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.

Answer:

164.6

Step-by-step explanation:

All degrees of a triangle add up to 180°. angle c and angle e are congruent so you add them to get 15.4. you subtract 15.4 from 180 and get 164.6

Answer:

for 1 it is 76,4

Step-by-step explanation:

5X6X8 divided by 3,14 = 76,4

[tex]tan( \theta) = \frac{opposite}{adjacent} [/tex]

The opposite in this diagram is the side directly opposite to the ange theta.

So,

[tex]tan( \theta) = \frac{17}{17} = 1[/tex]

So the answer is 1.

Answer:

9√3

Step-by-step explanation:

Answer:

[tex]9\sqrt{3}[/tex]

Step-by-step explanation:

we know that 3*81 = 243, so we can say

[tex]\sqrt[]{3} * \sqrt{81}[/tex]

And we know that square root of 81 = 9

so we can simplify this to:

[tex]9\sqrt{3}[/tex]

Hope this helps!

Answer:

They will meet in 2.25 hours or 2 hours 15 minutes

Step-by-step explanation:

At any point in time;

distance = speed * time

Let the number of hours at which they meet be x

In x hours, the distance traveled by Karen will be 59 * x = 59x miles

In same x hours, the distance traveled by Ricardo will be 65 * x = 65x miles

Since they are traveling in opposite directions, the distance traveled at that time by Karen will be less than what Ricardo has traveled since he is traveling at a greater speed

However, the sum of whatever they have traveled will be equal to the distance between them

thus;

59x + 65x = 279

124x = 279

x = 279/124

x = 2.25 hours

Answer:

$ 160

Step-by-step explanation:

3/8 × n = $ 60

so, n = $ 60 ÷ 3/8

= $ 60 × 8/3

= $ 160

so, Mikayla's savings = $ 160

Answer:

Option (1)

Step-by-step explanation:

Sequence has been given as,

[tex]a_n=\frac{n^3+3n}{n^2-6n}[/tex]

[tex]\lim_{n \to \infty}\frac{n^3+3n}{n^2-6n}[/tex]

[tex]=\lim_{n \to \infty}\frac{\frac{n^3+3n}{n^3} }{\frac{n^2-6n}{n^3} }[/tex]

[tex]=\lim_{n \to \infty}\frac{1+\frac{3}{n^2}}{\frac{1}{n}-\frac{6}{n^2} }[/tex]

= ∞

That means with the increase in the value of 'n' sequence gets larger and larger.

Therefore, sequence will diverge.

Option 1 will be the correct option.

Answer:

a-the sequence diverges

Step-by-step explanation:

edg 2023

Answer:

the answer is A:)

Step-by-step explanation:

Answer:

11.4 metres

Step-by-step explanation:

Use Pythagoras theorem for a right-angled triangle

a^2 + b^2 = c^2

if you cut the rectangle in half, it will become a right angled triangle.

a and b are two sides of the rectangle, while c is the diagonal or hypothenuse

so 9^2 + 7^2 = c^2

81 + 49  = c^2

c^ 2 = 130

square root 130 = c

you should get approximately 11.4 metres

Answer:

C

Step-by-step explanation:

This method is the best because it will survey the customers under one condition : every 10. If the store gets a lot of customers, then this should be easier to do. The rest are mostly dependent on what they do and that influences the survey. However, C makes it so that every 10 people are surveyed.

Answer:

A isnt the correct answer. B doesnt seem reasonable because its one specific item. D means they arent exactly a customer since they didnt buy anything therefore the answer would be C

C is your answer.

not sure about it tho but its what i would put

Using translation concepts, the function whose graph is plotted is given by:

y = 0.5cos(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the y-intercept is different of zero, hence it is a cosine function. The amplitude is of 0.5, hence the function is multiplied by 0.5, that is, y = 0.5cos(x), which means that option C is correct.

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Any number ending with a even number is even

B. 41680

C. 55822

D. 87318

E. 93256

Answers are B, C, D, E

The simplified form of the given algebraic expression is; 96x⁶y⁵

We are given the algebraic problem;

(4x²y)(3xy)(2xy)³

Expanding the above gives us;

4x²y * 3xy * 2³x³y³

⇒ 4x²y * 3xy * 8x³y³

⇒ 96x⁶y⁵

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Answer:

Its 96x6y5 or B)

Step-by-step explanation:

The guy above or below me explained it correctly.

Answer:

50-32*8

Step-by-step explanation:

Answer:

50-32<8

Step-by-step explanation:

Answer:

1st answer is correct

Step-by-step explanation:

JL

hope this helps you

can I have the brainliest please?

Answer:

pemdas (parentheses, exponents, multiplication, division, addition, subtraction) so you subtract what's in the parentheses (7.4 - 3.6)

Answer:

2x² + 6x + 15 = 0

Step-by-step explanation:

Given quadratic equation is,

-2x² - 6x = 15

We have to convert this equation in the standard form of the quadratic equation,

ax² + bx + c = 0

(-2x² - 6x) = 15

-2x² - 6x - 15 = 0

2x² + 6x + 15 = 0

Answer:

1. y < -12

2. x > -12

Step-by-step explanation:

Just create a number line with the arrow going towards the direction that the greater/less than symbol is pointing

Answer:

13c + 1

Step-by-step explanation:

4c + 2 + 4c + 1 + 2c + 3c - 2

8c + 5c + 3 - 2

13c + 1

Answer:

r ≈ 7.18%

Step-by-step explanation:

a = p(1 + r)^n

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

a = 10000 * 2 = 20000

p = 10000

n = 2035 - 2025 = 10

Plug in the knowns

20000 = 10000(1 + r)^(10)

Divide both sides by 10000

2 = (1 + r)^(10)

Take the log of both sides

log2 = 10 * log(1 + r)

Divide bot sides by 10

(log2)/10 = log(1 + r)

use calculator

0.030102999566398 = log(1 + r)

antilog both sides

10^0.030102999566398 = 1 + r

1.0717734625 = 1 + r

Subtract 1 from both sides

0.0717734625 = r

r ≈ 7.18%

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

Alternate method

2 = (1 + r)^(10)

Take 10th root of both sides

1.0717734625 = 1 + r

Subtract 1 from both sides

0.0717734625 = r

r = 7.18%