What is the slope of the following graph?

Answer:

[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]

Step-by-step explanation:

we are given a function

[tex] \displaystyle \sf h(x) = \frac{2x - 6}{4 {x}^{2} + 8} [/tex]

we would like to simplify it for h(-1)

in order to do so

substitute the value of x

[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2} + 8} [/tex]

by order of PEMDAS

simplify square:

[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { ( 1)}^{} + 8} [/tex]

simplify multiplication:

[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{4 { }^{} + 8} [/tex]

simplify addition:

[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{12} [/tex]

simplify subtraction:

[tex] \displaystyle \sf h( - 1) = \frac{ - 8}{12} [/tex]

reduce fraction:

[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]

Answer:

A. 4 x 10 - 4 = 36

Step-by-step explanation:

Ten bars are in a package and there are 4 packages

1 bar is eaten from the 4 packages

40 - (1 x 4) =

40 - 4 =

36

Answer:

£0.016

Step-by-step explanation:

divide 16 by 1000

Given:

The end points of a line segment are (4,0) and (12,0).

To find:

The midpoint of the line segment.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The end points of a line segment are (4,0) and (12,0). So, the midpoint of the line segment is:

[tex]Midpoint=\left(\dfrac{4+12}{2},\dfrac{0+0}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{16}{2},\dfrac{0}{2}\right)[/tex]

[tex]Midpoint=\left(8,0\right)[/tex]

Therefore, the midpoint of the given line segment is (8,0).

Answer:

6

Step-by-step explanation:

2x-5=7

add 5 on both sides:

2x-5+5=7+5

2x=12

divide both sides by 2

2x/2=12/2

x=6

Answer:

6

Step-by-step explanation:

2−5=72x-5=7

2x−5=72−5+5=7+5

Answer:

36

Step-by-step explanation:

Mrk me brainliest plzzzzz

Answer:

288

Step-by-step explanation:

To solve, we need to find the area of the four triangle sides and add that to the square base's area.

Area of triangle sides: base * height * 0.5

Area of square base: base * height

Substitute the values

8 * 14 * 0.5 = 56

There are four of these sides, so the area of all the triangles is 224.

The square base is 8 * 8, or 64

Add these two values together.

64 + 224 = 288

Thus, the answer is 288

9514 1404 393

Answer:

  about 15.5%

Step-by-step explanation:

The number of foxes in the forest can be modeled by the exponential equation ...

  f = a·b^t

where a is the initial number, and b is the growth factor per year for t years. The growth factor is 1 more than the growth rate (r), so we can put numbers in this formula to get ...

  40 = 30·(1 +r)^2

  4/3 = (1 +r)^2 . . . . . . divide by 30

  1 +r = √(4/3) . . . . . .  take the square root

  r = √(4/3) -1 ≈ 0.1547 ≈ 15.5%

The annual percentage growth in the fox population is about 15.5%.

Answer:

There are 79,800 ways in which this is possible.

Step-by-step explanation:

The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 sophomores from a set of 20.

2 freshmen from a set of 15. So

[tex]P_{20,2}*P_{15,2} = \frac{20!}{18!}*\frac{15!}{13!} = 20*19*15*14 = 79800[/tex]

There are 79,800 ways in which this is possible.

Answer:

The only solutions would be that the numbers HAVE to be greater than 2

Step-by-step explanation:

-6n < -12

-n < -2

n > 2

Answer:

the answer would be -4

Step-by-step explanation:

just replace the variable y with two in the expression and solve

3(2)^2-5*2-6

Answer:

i believe the answer is 03.028.68

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  maybe B . . . it is the closest

Step-by-step explanation:

There are 180/π degrees in a radian.

__

  11π/8 radians = (11π/8)(180°/π) = (11/8)(180°) = 247.5°

Answer:

model B is shaded to represent 37.5%

here,

=3÷8×100%

=37.5%

Answer:

alternate exterior angles

Answer: 5

Step-by-step explanation:

Constants are numbers without a variable

Answer:

5 is constant term

Step-by-step explanation:

1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, the growth factor would be needed to provide 1/12th of 12% interest each month

Remember the formulas:  

Increasing: y = a (1 + r)ˣ  

Decreasing: y = a(1 - r)ˣ

(1 ± r is the growth factor, while r is the growth rate)

In our case,

since it is an interest It will show the growth rate

Growth rate = 12% of 1/12

Growth rate = 1%

Growth rate = 0.01

Thus,

Growth factor  = 1 + r

Growth factor  = 1 + 0.01

Growth factor  = 1.01

Therefore, The growth factor will be 1.01.

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

#SPJ2

9514 1404 393

Answer:

  A.  15.250

Step-by-step explanation:

The applicable trig function is the cosine function:

  Cos = Adjacent/Hypotenuse

  cos(57°) = y/28

  y = 28×cos(57°) ≈ 15.24989

  y ≈ 15.250 . . . . matches choice A

_____

Additional comment

From your knowledge of "special" triangles, you know that y would be 14 if the angle were 60°. Of course, the length must be shorter than 28, so answer choices B and C are immediately eliminated. The fact that the length is closer to half of 28 than it is to 28 makes choice A look like a pretty good guess.

Answer: 395 and 2000

Step-by-step explanation:

It’s correct that’s all you need to know

im pretty sure the answer is 16

Step-by-step explanation:

the drinks are 10

, burgers are 5 and each of the fries are 1. Since there is one of each, it will be like this 10+5+1

Answer:

soda = 10

burger = 5

fri = 2

5 + 2 x 10 = 25

Step-by-step explanation: its 25 cuz its 25

Answer:

7/8 * 3 = 21/24

1/3 * 8 = 8/24

21-8 = 13

Gail bought 13/24 pound more than Jose

Answer:

7600

Step-by-step explanation:

Because it is just x 100

Answer:

V=100ft³

Step-by-step explanation:

answer:

in order to construct 75°, you need to use a protractor and a compass

step-by-step explanation:

here is a step-by-step explanation from an online source

Construct 60°. Then 120°. Then construct 90° by bisecting them. Then bisect 60° and 90°. Then it will be 75°.