22 POINTS!!!! PLEASE HELP DUE SOON!!!
What is the slope-intercept form of the function described by this table? x 1 2 3 4 y 1 −2 −5 −8 Enter your answer by filling in the boxes. y = x +
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Answer:

First rememeber that if we have a function like:

g(x) = x^n

then:

dg(x)/dx = g'(x) = n*x^(n - 1)

And also if we have:

g(x) = f(x) + h(x)

then:

dg(x)/dx = g'(x) = f'(x) + h'(x)

1) We have the function f(x) = (x + 1)^2

We can rewrite this as:

f(x) = x^2 + 2*x + 1

Using both things written above, we know that:

f'(x) = 2*x + 1*2 = 2*x + 2

And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:

f'(-2) = 2*-2 + 2 = -4 + 2 = -2

f'(-2) = -2

b) I suppose that this refers to the inverse function of f(x)

An inverse function is such that:

g( f(x)) = x

f( g(x)) = x

For f(x) = (x + 1)^2

The inverse will be something that first cancels that square, and then subtracts 1.

Then:

g(x) = √x - 1

if we evaluate this in f(x) we get:

g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x

Then the inverse function of f(x) is:

g(x) = √x - 1

This can also be written as:

g(x) = x^(1/2) - 1

Then the derivative of this will be:

g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)

Answer:

6.3 miles

Step-by-step explanation:

7/10 = 0.7

0.7 x 9 = 6.3 miles after 9 days

The distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.

Distance is the total movement of an object without any regard to direction.

We can define distance as to how much ground an object has covered despite its starting or ending point

Katie rides her bike 7/10 mile each day for 9 days

In 1 day she covers a distance of 0.7 mile

so in 9 days she will cover

=0.7 * 9

= 6.3 miles

Therefore the distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.

To know more about Distance

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Answer:

Step-by-step explanation:

1: one solution

Explanation: We see that the variable x is equal to 9 (and only 9). Therefore there is only one solution

2: infinitely many solutions

Explanation: When an equation has infinitely many solutions, it means that any real number (aka all real numbers) would satisfy that equation. For example 2x = 2x. Any number you plug in for x would result in both sides being equal. So you know an equation has infinitely many solutions if both sides are the same

3: no solution

Explanation: 7 does not equal 4 so you can't solve this equation.

4: no solution

Explanation: 7 is not less than 7, that is impossible, so there is no solution.

5: one solution

Explanation: 8 is greater than or equal to -2, so this inequality is true, meaning it represents one solution

Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that

   y = kx,

The relation is often denoted, using the ∝ symbol, as

   y ∝ x

in this case k = 5/1

Answer:

the slope of the line that lies on those two points is 11/7

Step-by-step explanation:

insert the first point into y=mx+b

14=(-7)m+b

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

Do it again with the other point

3=(-14)m+b

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

Now put both equations in a system of equations

14=(-7)m+b

3=(-14)m+b

solve for m and b

m=11/7 and b=25

y=11/7x+25

m=slope

b=y-intercept

Hope that helps :)

Please give brainliest

Answer:

Slope: 10

Y-intercept= 30

Step-by-step explanation:

y= mx + b

m = slope

b = y-intercept

y= 10x + 30

Slope: 10

Y-intercept= 30

Answer:

83 is the answer

Step-by-step explanation:

hope this helps

Answer:

8

Step-by-step explanation:

40/5 = 8

56/7 = 8

64/8 = 8

Answer:

this question doesn't make sense

Answer:

The answer is 7z-7. Hope this helped!

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Remember that all triangles equal 180. Add 50 and 85. It equals 135. Subtract that from 180 and it equals 45.

Answer:

x=23

Step-by-step explanation:

90 - 65 = 25

25 - 2 =23

Answer:

7, 12, 17, 22     rule: add 5.     1. 27  2. 32

Step-by-step explanation:

this is your equation all you have to do is count the sticks figure out the rule once done then you add to the numbers you already have based on the rule which is add 5.

Answer:

a, 1,<Z b, 1,zy c,XZY

2,<Y 2, zx

3, <X 3, xy

Answer:

Janelle is applying to work a full-time job next summer. So far, her only paid work experience has involved with babysitting. She's worried that she lacks the skills

£120.02

£130.98

£1,376

Answer:

-64123.2679492

Step-by-step explanation:

I'm sorry if this is wrong!

Answer:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

[tex]\cos Y= \frac{YZ}{XY}[/tex]

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y

For angle Y:

[tex]Opposite = XZ[/tex]

[tex]Adjacent = YZ[/tex]

[tex]Hypotenuse = XY[/tex]

The [tex]\sin[/tex] of an angle is calculated as:

[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

So:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

The [tex]\cos[/tex] of an angle is calculated as:

[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

So:

[tex]\cos Y= \frac{YZ}{XY}[/tex]

The [tex]\tan[/tex] of an angle is calculated as:

[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Answer:

C, short answer

Step-by-step explanation:

trust

Answer:

A

Step-by-step explanation:

Answer:

A) (4,8) is the correct answer.

Step-by-step explanation:

Step: Solvey=2xfor y:

y=2x

Step: Substitute2xforyiny=x+4:

y=x+4

2x=x+4

2x+−x=x+4+−x(Add -x to both sides)

x=4

Step: Substitute4forxiny=2x:

y=2x

y=(2)(4)

y=8(Simplify both sides of the equation)

Hope this helps!

The answer is B............

Answer:

B

Step-by-step explanation:

Your answer is B because 0 is greater than any negative number. Also, it is a solid line and full dot meaning the less than sign gets a line under it.

Question:

Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5

Answer:

[tex]y = \frac{4}{5}x[/tex]

Step-by-step explanation:

Required

Equation with 4/5 as its constant of proportion

Two proportional quantities x and y have the following relationship:

[tex]y = kx[/tex]

Where k is the constant of proportion.

In this case:

[tex]k = \frac{4}{5}[/tex]

So.

[tex]y = kx[/tex] becomes

[tex]y = \frac{4}{5}x[/tex]

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

9514 1404 393

Answer:

  sin(63°) = 0.891

Step-by-step explanation:

The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.

   sin(63°) = 0.891

Answer:

acute angle

Step-by-step explanation:

acute angle because it is under 90°

If the angle measure is less than 90 degrees then it's acute, if it is equal to 90 degrees it's right or square, if it's more than 90 degrees it's obtuse, and if it's equal to 180 degrees it's a straight angle but in this case it's straight and obtuse since 180 is greater than 90.

Answer:

C= 45 + 19.95h

Step-by-step explanation:

45 for each home vist means one time payment

19.95 ever hour means you are charged 19.95 every hour

H= hour