if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)

Answer:

-2.5

Step-by-step explanation:

The slope can be found by

m = (y2-y1)/(x2-x1)

   = (3-18)/(4- -2)

   = -15/(4+2)

    =-15/6

    = -5/2

     -2.5

Answer:

C. -2.5

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-2,18) and (4,3).

[tex]m=\frac{3-18}{4-(-2)}= \frac{-15}{6} =-\frac{15}{6}= -\frac{5}{2}[/tex]

The options are given in decimals.

[tex]-5/2=-2.5[/tex]

Option C is the correct answer.

Answer:

170.25

Step-by-step explanation:

It's a bit tricky to do not on plain paper, but here:

Just assume the long division symbol looks right

  _1_7_0_.25

4 ) 681

    -4

     2 8

     -2 8

          0  1

The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.

Fraction: 170 1/4

Decimal: 170.25

The answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

(2x)3

Step-by-step explanation:

Twice a certain number is tripled. Use x as the unknown number and double it.

2x

Now triple the whole answer

(2x)3

Answer:

[tex](2x)3[/tex]

Step-by-step explanation:

Let's say [tex]x[/tex] is the number.

Our answer would be:

[tex]2x*3[/tex] or [tex](2x)3[/tex]

You can assign [tex]x[/tex] a value and it will get you double the number, then triple of that number.

Sorry if it seems like I'm copying the other person.

Answer:

y ≤ -1/3x +1

Step-by-step explanation:

We have a solid line so the inequality has an equals sign.

The graph is shaded underneath so y is less than or equal to

y ≤ -1/3x +1

Answer:

Y<-1/3x+1

Step-by-step explanation:

The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line

Answer:

x = - 2

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Evaluating the numerator

9³ × 9 = [tex]9^{(3+1)}[/tex] = [tex]9^{4}[/tex] , thus

[tex]\frac{9^{4} }{9^{6} }[/tex]

= [tex]9^{(4-6)}[/tex] = [tex]9^{-2}[/tex]

and [tex]9^{-2}[/tex] = [tex]9^{x}[/tex]

Since bases on both sides are 9, then equate exponents

x = - 2

Answer:

x = -14

Step-by-step explanation:

-3x - 10 = 32

Add 10 on both sides

-3x = 42

divide both sides by -3 to isolate x

x = 42/-3

x = -14

Answer: -14

Step-by-step explanation:

-3x - 10 = 32

-3x = 32 + 10

x = -42/3 = -14

Answer:

A cicle centered in the origin has equation.

[tex]x^2+y^2=r^2\\4^2+1^2=r^2\\r=\sqrt{17}\\ \\\sqrt{5}^2+\sqrt{2}^2\neq \sqrt{17}^2\\ 7\neq 17[/tex]

The point does not lies on the circle

Answer:

A. M less than or equal to 17

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

L•w•h

12•4•3= 144

Answer:

25.2

Step-by-step explanation:

Volume of container: 2x3x5=30

0.84x30=25.2

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

Learn more about probability here-

https://brainly.com/question/25870256

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Answer:

x=27

Step-by-step explanation:

So let's look at the ratio

3:9

x:81

x is proportional to 3 the same way that 81 is to 9

How would we get 9 to 81?

We would multiply by 9

So what is 3*9?

27

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The farmer plants 195 rows of beets and has 25 beet plants left over

Answer:

The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.

Step-by-step explanation:

Answer:

0.064 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is the width multiplied by the height multiplied by the length. In this case, all of those dimensions are 2/5, meaning that the volume is:

[tex]\dfrac{2}{5}\times\dfrac{2}{5}\times\dfrac{2}{5}=\dfrac{8}{125}=0.064[/tex]

Hope this helps!

Answer:

1.25 kg of icing sugar

3.75 kg of butter

3 kgs of caster sugar

2.75 kgs flour

25 eggs

125g baking powder

Step-by-step explanation:

300/12 x (weight of ingredient)

Answer:

1.25kg icing

3.75kg butter

3kg caster sugar

2.75kg flour

25 eggs

125g baking powder    

Step-by-step explanation:

Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.

300/12 = 25

25 x 50 = 1250g = 1.25kg

25 x 150 = 3750g = 3.75kg

25 x 120 = 3000g = 3kg

25 x 110 = 2750g = 2.75kg

25 eggs

25 x 5 = 125g

Answer:

8

Step-by-step explanation:

The sum of the internal angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

Each exterior angle plus interior angle = 180°

Subtract each exterior angle from 180 for corresponding interior angle.

180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118

Sum the 4 interior angles and subtract from 540 for 5 th interior angle

5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°

The 5 th interior angle and 12x sum to 180 ( same reason as above )

Hence

12x + 84 = 180 ( subtract 84 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

please mark me brainliest :)

Answer:

The answer is option (B).

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The population changed from 25,000 to 30,000. Then the percentage is calculated as,

P = [(30,000 - 25,000) / 25,000] x 100

P = (5,000 / 25,000) x 100

P = 0.20 x 100

P = 20%

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Answer: I think it’s 20,390

Step-by-step explanation:

Answer: 11,272

Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.

Answer:

see below

Step-by-step explanation:

19-3 will be greater

We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1

18-3 = 16

1/2 * (19-3)

Using PEMDAS

We do parentheses first

1/2 ( 16)

Then multiply

8

Answer:

10 hours

Step-by-step explanation:

Let's set up a proportion using the following setup.

hours/laps=hours/laps

We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.

2 hours/12 laps=x hours/60 laps

2/12=x/60

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.

60*2/12=x/60*60

60*2/12=x

10=x

It will take Lebron 10 hours to run 60 laps.

Answer:

17.3

Step-by-step explanation:

1.5×6+8.3

=9.0+8.3

=17.3

hope it helps

Answer:

B.) -16

Step-by-step explanation:

-10=-2+1/2d

-8=1/2d

d=-8/1/2

d=-16

So B

Answer:

(90,60)

Step-by-step explanation:

if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.

Answer: It should be x^2 + (x-2)^2 = 100

Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.

The solution to the correct equation will be x = 8. x -2 would be 6

8^2 = 64. 6^2 = 36. 64+36 = 100.

The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Since

A group of students is given a 10 by 10 grid to cut into individual unit squares.

So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]

Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Learn more about an equation here: https://brainly.com/question/17069398

Answer:

B

Step-by-step explanation:

To find DC

c²=a²+b² (pythagorean theory)

c²=6²+8²

c²=36+64. c²=100. √100. c=10cm

thus D =10.

AD= 15-6=9

To find AC

c²=a²+b²

c²=15²+8²

c²=225+64. c²=289 √289. c=17

AC=17

perimeter is the distance around a figure thus ADC=9+10+17

=36

Answer:

Look at the attachment