If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
O A. (f+ g)(x) = -x + 3
O B. (f+ g)(x) = x - 7
O c. (f+ g)(x) = -7x-3
O D. (f+ g)(x) = 7x - 7

Answer:

x = 7.5

Step-by-step explanation:

If two scants are drawn from a point outside the circle then the product of one secant and its external segment is equal to the product of other secant and its external segment.

By applying this property in the picture attached,

OB × OA = OC × OD

(6 + 3)6 = (12 - x)12

54 = 144 - 12x

12x = 144 - 54

12x = 90

x = 7.5

Answer:

This is confusing

Step-by-step explanation:

Answer:

.38 probability of getting two heads

Step-by-step explanation:

А prism has cross-sectional shapes, taken parallel to a base, that are similar but not congruent to one another. Therefore, option B is the correct answer.

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

The cross section of prism is the shape obtained when the prism is intersected by a plane. If the prism is cut by a plane horizontally, parallel to the base, then the shape of cross section will be equal to the shape of base.

Therefore, option B is the correct answer.

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Answer:

15π/4

9π /4

Step-by-step explanation:

[tex]5 \int\limits^4_1 {f(x)} \, dx[/tex]  = 5 ((-π/4)+ π) = 5 (π-π/4) = 5(3π/4) = 15π/4

[tex]5 \int\limits^6_1 {|f(x)|} \, dx[/tex] =  5(π/4 + 2π)  = 5(9π /4) = 45π/4

Answer:

1,440

Step-by-step explanation:

When you find the volume, you have to multiply all the numbers.

So in this case:

10*12*12 = 1,440

There is 81 possible outcomes

9514 1404 393

Answer:

  13/84

Step-by-step explanation:

The relevant trig ratio is ...

  Tan = Opposite/Adjacent

  tan(H) = GI/HI

  tan(H) = 13/84

Answer:

B) (1,15)

Step-by-step explanation:

Because 1/15= 15 and so does everything else. But it iS the first point that we look at to see the answer of the rest.

Answer:

28716.35 mm³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(38 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {19}^{3} [/tex]

[tex] = \frac{86149.04}{3} [/tex]

[tex] = 28716.34667...[/tex]

= 28716.35 mm³ (rounded to the nearest hundredth)

Answer:

x = 20

Step-by-step explanation:

→ Remember how many degrees are on a straight line

180°

→ Set up an equation

2x + 70 + 3x + 10 = 180

→ Simplify

5x + 80 = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

Answer:

x=20

Step-by-step explanation:

Those add up to 180 degrees because a straight line is 180 degrees

Equation

2x + 70 + 3x + 10 = 180

Add liked terms

2x+3x=5x

5x+80=180

5x+80-80=180-80

Divide both sides by 5

5x=100

x=20

hope this helps and good luck! <3

Answer:

[tex]x = 11/4[/tex]

Step-by-step explanation:

Given

[tex]1 + \sqrt{4x + 5} = 5[/tex]

Required

The solution

[tex]1 + \sqrt{4x + 5} = 5[/tex]

Collect like terms

[tex]\sqrt{4x + 5} = 5 - 1[/tex]

[tex]\sqrt{4x + 5} = 4[/tex]

Square both sides

[tex]4x + 5 = 16[/tex]

Collect like terms

[tex]4x = 11[/tex]

Divide both sides by 4

[tex]x = 11/4[/tex]

Answer:4

Step-by-step explanation:

Answer:

28.07°

Step-by-step explanation:

sin R = 8/17

arcsin R = 28.07

Answer: 862

Step-by-step explanation:

A deductible refers to the amount of money that one will have to pay himself or herself toward an insured loss.

It should be noted that when a disaster occurs, the amount of the deductible will be subtracted from the loss. Since the loss is 1612 and the deductible is 750, the insurance company will pay:

= 1612 - 750

= 862

Answer:

4x

Step-by-step explanation:

Given the expression

4x² - 36x

Get the individual factor of each terms

4x² = 4 * x * x

36x  = 4 * 9 * x

4x² - 36x = 4x(x-9)

From both factors we can see that 4*x is common to them, hence the greatest common factor is 4x

Step-by-step explanation:

[tex] = 33\% \times 1400 \\ = \frac{33}{100} \times 1400 \\ = 462 \: dollars \\ remaining \: tax = 1400 - 462 \\ = 938 \: dollars[/tex]

Answer:

Q=2

Step-by-step explanation:

p=k/q

When P=22, q=17

22=k/17

k=374

When p =187

187=374/q

187q=374

q=2

The value of q when the value of p is 187 will be equal to 2

Two numerical sequences, often experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that p and q vary inversely and p is 22 when q is 17, The

p=k/q

Calculate the value of k when P=22, q=17,

22=k/17

k=374

Calculate the value of q when p =187,

187=374/q

187q=374

q=2

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Answer:

150 A

Step-by-step explanation:

THIS THE ANSWER

I HOPE IT HELPS

Answer:

{}

Step-by-step explanation:

Thats actually the answer believe it or not :)

Answer:

a. Substitution method.

b. Elimination method.

c. Graph method.

Step-by-step explanation:

Given the following algebraic expressions;

a. y = 3x + 10 ....... equation 1

2x - 4y = -6 ...... equation 2

The above would be solved using substitution method.

Substituting eqn 1 into eqn 2, we have;

2x - 4(3x + 10) = -6

2x - 12x - 40 = -6

-10x = -6 + 40

-10x = 34

x = 34/10

x = 3.4

y = 3x + 10 = 3*3.4 + 10

y = 10.2 + 10 = 20.2

b. 9x + 2y = 29 ...... equation 1

3x - 2y = -17 ...... equation 2

The above would be solved using elimination method.

Adding eqn 1 to eqn 2, we have;

(9x + 3x) + (2y + (-2y)) = (29 + (-17))

12x + 0 = 12

12x = 12

x = 12/12 = 1

To find y, from eqn 1;

9(1) + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2 = 10

c. y = 3/2x - 5

y = 2x + 8

The above would be solved using a graph method.

You choose a range for the value of y and x. These values are then plotted against each other and the slope of the graph is determined.

Answer:

10

Step-by-step explanation:

to find the mean/average you add the numbers together and divide by how many numbers there are, for example you add 4 and 8 and 12 which equals 30 and you divide that by 3 becuase there are three numbers  (4,8,12) which gives you 10.

Answer:

84 numbers

Step-by-step explanation:

Numbers starting with 12 – 7 numbers

Numbers starting with 13 – 6 numbers;

14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.

Thus total number of

numbers starting from 1 is given by the sum of 1 to 7 = 28.

Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21

Number of numbers starting from 3- sum of 1 to 5 = 15

Number of numbers starting from 4 – sum of 1 to 4 = 10

Number of numbers starting from 5 – sum of 1 to 3 = 6

Number of numbers starting from 6 = 1 + 2 = 3

Number of numbers starting from 7 = 1

Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.

Answer:

b)

Step-by-step explanation:

lol ;)

Answer:

a i hoped i helped

Step-by-step explanation:

The steps to take to make sure he bought enough fence are

The perimeter of the rectangular fence is 42 feets.

Therefore, two sides of the garden are 12 feet each long. The other two sides are 108 inches long.

The steps to take to make sure he bought enough fence is as follows:

Therefore,

108 inches = 9 ft

Therefore,

12 + 12 + 9 + 9 = 42 feet's.

He bought 40 feet fence. Therefore, he needs 42 feet's of fence which means the fencing will not be enough.

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Answer: The unit rate of the bananas is 0.33$

Step-by-step explanation:

1.98/6 = 0.33$ . 0.33 x 6 = 1.98$

Answer:

what school do you have

Step-by-step explanation: