For the given functions f(x) and g(x), find (f + g)(x) or (f – g)(x) as
indicated.
f(x) = 8x – 7,8(x) = 6x – 4
Find (f + g) (x)

Answer:

x=8

x=5/3

Step-by-step explanation:

evey bracket equal =0 to get solution

x-8=0

x=8

3x-5=0

3x=5

x=5/3

Answer:

x=5/3 or x=8

Step-by-step explanation:

0=3x^2-29x+40

-3x^2+29x-40=0

(3x-5)(x-8)=0

-3x+5=0 or x-8=0

x=5/3 or x=8

Answer:

360°

Step-by-step explanation:

360°

Answer:

360 degrees

Step-by-step explanation:

For a polygon of n sides, the sum of the measures of the interior angles is

(n - 2)180.

A quadrilateral has 4 sides, so n = 4.

(4 - 2)(180) = 2(180) = 360

Answer: 360 degrees.

[tex]f(x) = \log_b(x)[/tex] is a decreasing function when [tex]0 < b < 1[/tex]

This is because we can use the change of base formula to say

[tex]\log_b(x) = \frac{\log(x)}{\log(b)}[/tex]

If b is between 0 and 1, not including either endpoint, notice how the log(b) term is negative.

For example, if b = 0.5, then log(b) = log(0.5) = -0.301 approximately. I'm using log base 10 to get log(0.5) = -0.301

So for b = 0.5, we have,

[tex]\log_{0.5}(x) = \frac{\log(x)}{\log(0.5)} \approx \frac{\log(x)}{-0.301} \approx -3.322\log(x)[/tex]

The log(x) part on its own is always increasing. The negative coefficient out front flips it to always decreasing.

By applying the behavior rules we notice that the expression [tex]F(x) = \log_{b} x[/tex]decreasing function if the base of the logarithm is 0 < b < 1. (Correct choice: D) #SPJ5

Logarithms are trascendent functions whose form is defined by the following expression:

[tex]\log _{b} x[/tex] such that [tex]x = b^{a}[/tex], where b > 0.

Where b is the base of the power.

Whose rules are described below:

By applying the behavior rules we notice that the expression [tex]F(x) = \log_{b} x[/tex] is a decreasing function if the base of the logarithm is 0 < b < 1. (Correct choice: D)

The statement is poorly formatted and reports several mistakes. Correct form is shown below:

For what values of b will [tex]F(x) = \log_{b} x[/tex] be a decreasing function?

A. b > 0

B. 0

C. b < 0

D. 0 < b < 1

To learn more on logarithms, we kindly invite to check this: https://brainly.com/question/20785664 #SPJ5

Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

A quadrilateral can be defined as a polygon shape that possesses four sides.

Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.

For example, a parallelogram needs to be proved by both the sides and the angles

In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Learn more about Congruent quadrilaterals: https://brainly.com/question/224113

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Answer:

240 dollars.

Step-by-step explanation:

I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:

[tex]6000 \cdot (1 + 4%) - 6000[/tex]

[tex]= 6240 - 6000[/tex]

[tex]= 240[/tex] dollars

Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.

Hope this helped!

Answer:

$240

Step-by-step explanation:

4% of $6000 = $240

Step-by-step explanation:

Going through this one by one, we can say:

For the first one ("Both functions are increasing on the interval (0, ∞)"), this does not need to be selected. Although h(x) increases as x increases, g(x) (the y value) decreases as the x value increases, or the graph moves to the right.

Next, we have "g(x) is increasing on the interval (-∞, 0)." The -∞ represents when x is at its lowest point, or the leftmost point possible for the curve. 0 represents the middle of the graph, cutting right through the y-axis. As g(x) is only increasing on negative values, this is true. It is important to note that the 0 has a parenthesis next to it, so the value 0 itself, where the graph is not increasing, is not included

After that, we have "The y-intercept of g(x) is greater than the y-intercept of h(x)." The y intercept is when x=0. For g(x), y=9 here, and for h(x), y=1. Thus, g(x) is greater, and this can be selected.

Furthermore, we have "The function h(x) represents a linear function." This means that for each value of x throughout the function, a change in x by 1 always results in the same change in y. When x goes from -1 to 0, h(x) increases by 0.75. When x goes from 0 to 1, h(x) increases by 3. Therefore, as 0.75 is not equal to 3, these are not the same.

Finally, the last statement is g(2) < h(2). As we can see on the graph, as x=2, the line is at g(x)  = 5. When x=2, h(x) is 16. As the value of h(x) (16) is greater than the value of g(x) (5) when x=2, this can be selected as well.

Step-by-step explanation:

1.V=LWH L is the length, W is the width and H is the height.

12×6×3=216

2.V=Ah A is the area of the base, h is the height

18×16=288

3.V=LWH L is the length, W is the width and H is the height

10×14×5=700

Answer:

Option C.

Step-by-step explanation:

Answer:

C.    greater than

Step-by-step explanation:

Since 8/7 is greater than 1

multiply it by 12 will result in a larger number.

Answer:

The answer is 3.

Step-by-step explanation:

To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.

Answer:

x= 20

y = 10

Step-by-step explanation:

Angles 3x° and 60° are Corrosponding angles so they are equal:

[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]

Angles (5y-5)° and 135° are Cointerior so add to give 180°:

[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]

Substitute y and x into the respective formula's to get your angles.

Answer:

74 cm

Step-by-step explanation:

Perimeter Pentagon = 48 + (38 - 12)

48 + 26 = 74

74 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0

Step-by-step explanation:

2+(-2) is basically 2-2 which is 0

Answer:

900

Step-by-step explanation:

3*300=900

Answer:

3 x 300=900

brainly me pls

Answer:

here is the answer bae. Feel free to ask for more

Answer:

Both are wrong

Step-by-step explanation:

Though the box is shorter on the left side, it doesn't mean there are fewer numbers. Box plot tells the range, and not the mode. The box plot tells us that the interquartile range is higher on the right side.

Amber is wrong since the box plot is right-skewed

Pls vote as brainliest

We can conclude that:

1. Andrea is wrong, box plot doesn't imply mode.

2. Amber is wrong, the box plot is right-skewed.

A box plot shows how a data is distributed or spread out.

If a data distribution is right-skewed, the median which is indicated by the vertical line that divides the rectangular box would be closer to the lower end of the box, and also if it has a shorter whisker to the left.

Also, if a data distribution is left-skewed, the median would be closer to the upper end of the box, and also if it has a shorter whisker to the right of the box.

The box plot shown is right-skewed.

Thus, we can conclude that:

1. Andrea is wrong, box plot doesn't imply mode.

2. Amber is wrong, the box plot is right-skewed.

Learn more about box plot on:

https://brainly.com/question/14277132

Answer:

D.    x = 12, solution is not extraneous

Step-by-step explanation:

-4√(x - 3) = -12

Divide both sides by -4

√(x - 3) = 3

Square both sides

x - 3 = 9

add 3 to both sides

x = 12

To see if it's extraneous plug into original problem

-4√(12 - 3) = -12

-4√(9) = -12

-4 * 3 = -12

-12 = -12

not extraneous

Answer:

f'(2) = 1/4

Step-by-step explanation:

We know that:

g(x) = x^3 + x

and f(x) is the inverse function of g(x), such that:

f(2) = 1

this is because:

g(1) = 1^3 + 1 = 2

We want to find:

f'(2)

The general formula for this case is:

if f(x) is the inverse of g(x)

and f(x) = y

then:

f'(y) = 1/g'(x)

Then in this case,

f'(2) = 1/g'(1)

so we just need to differentiate g(x)

g'(x) = 3*x + 1

and:

g'(1) = 3*1 + 1 = 4

Then:

f'(2) = 1/g'(1) = 1/4

f'(2) = 1/4

==============================================================

Explanation:

f(x) is shown in the blue dashed line, while g(x) is a solid black line.

When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.

This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.

The vertex of each V shape is the same and that's at the origin (0,0).

No translations (horizontal or vertical shifting) are occurring.

The graph that shows the function g(x) = 3|x| is graph B.

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

Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)

Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.

Hence graph B is correct.

More can be learned about translation click;

brainly.com/question/27950531

#SPJ7

Answer:

I think -3x-17 sorry if wrong

Step-by-step explanation:

8x+ 32= 5x+15

-3x-17

Answer:

[tex]8(x + 4) = 5(x + 3) \\ 8x + 32 = 5x + 15 \\ 32 - 15 = 8x - 5x \\ [/tex]

-3x-17

Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

Answer:

x=13/3

Step-by-step explanation:

Answer:

Hence, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above. So after the 2 moves, he is up by [tex]4\frac{1}{4}[/tex] meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and  "positive" as climbing up. Here we need to find the change in elevation.

Now we have:  

[tex]=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}[/tex]

Answer:

b

Step-by-step explanation:

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

[tex]\angle EAF = \theta = 140^\circ[/tex]

The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 14.653 cm

In circle C

[tex]\angle GCH = \theta = 140^\circ[/tex]

The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

Answer:

A,C

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

She spent $12 and *$ on two separate things, meaning she spent $20 on both.

So, 12 + 8 = 20.

If she started with 25, we subtract 20 from 25 to get how much she has left.

So, 25 - 20 = y.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

I agree with the previous answer, it's D.

Sandra spent $12  on apples and $8 on fruit, so you would add.

That's $20, so to find out how much money she has left you do 25 - 20.

Answer:

ONE...

total of three angles that add up to 180

if you had a second, that would be 180 none left for the third angle

Step-by-step explanation:

Answer:

The answer is 3y - 10x - 27

Divide total pieces of candy by total people:

35 / 5 = 7

Each person receives 7 pieces of candy

Answer:

7

Step-by-step explanation:

35 divided by 5 equals 7