If f(x) = -3 3 and g(x)= 4x2 + 2x - 4, find (f +g)(x).
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Answer:

pretty sure it's just 9

Step-by-step explanation:

Let's assume the possible numbers are 1,2,3,4,5

There are only 3 numbers less than 4 (1,2,3) which means that there are 3*3 possbiblities out of the two spots

There's only 1 number greater than 4 (5) which means the third, fourth, and fifth are just 5

which means the answer is just 9

Answer:

V = 133 cm³

Step-by-step explanation:

The formula for the volume of a cone is V = (πr²h) / 3, which is just the formula for the volume of a cylinder but divided by 3, by the way.

If the diameter is 6, divide that by 2 to get a radius of 3 cm. The height and pi are already given.

V = ((3.14)(3)²(12)) / 3

V = (339.12) / 3

V = 113.04 cm³, or if rounded, it should just be 133 cm³

Answer:

113.0

Step-by-step explanation:

You have to round. Also its correct on Imagine Math.

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

[tex]\frac{sin^20}{sin^20}[/tex] + [tex]\frac{cos^20}{sin^20}[/tex] = [tex]\frac{1}{sin^20}[/tex] , that is

1 + cot²θ = cosec²θ ← as required

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Hope this helps have a good day

Answer: ∠p and ∠s, ∠q and ∠r

Step-by-step explanation:

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

The sets of angles are corresponding angles are; ∠p and ∠s, ∠q and ∠r

It can be defined as, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

We can conclude the sets of angles that are corresponding angles;

∠p and ∠s, ∠q and ∠r

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Answer:

8 m

-----------------Work--------------

2*3 = 6

Ratio

2*4 = 8

Answer:

512

Step-by-step explanation:

8^3 = 512

.................

Answer:

512

Step-by-step explanation:

Given

[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression

= 8³

= 8 × 8 × 8

= 64 × 8 = 512

Jerry has been stressing a lot for getting into his favorite college. The symptom by which he is reacting to stress is 'upset stomach'.

Stress can lead to a lot of emotional and physical negative responses in the body. This includes difficulty breathing, panic attacks, blurred eyesight or sore eyes, sleep problems, fatigue, muscle aches and headaches, chest pains and high blood pressure, Indigestion or heartburn, constipation, feeling sick, dizzy or fainting.

When Jerry stayed up late at night to get in some extra study time, had a mental burden of passing an entrance exam, a lot of stress was built. He reacted to it with an upset stomach just like others.

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Answer:

x- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then

y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

To find the x- intercept let y = 0

0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )

2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )

- 4 = x

The x- intercept is - 4

Explanation:

If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.

If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.

Choices A, C and D are true for any parallelogram (rectangle or not).

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

Step-by-step explanation:

hi friend I can help you in this geometry work via Wazapp

Answer:

7[tex]\sqrt{x}[/tex] = 14, D

Step-by-step explanation:

A radical equation is defined by having a variable under a radical sign. This is the only option with a variable (x) under the radical sign. Hence, 7[tex]\sqrt{x}[/tex] = 14 is the correct option.

Answer: random events

Step-by-step explanation:

Based on the information given in the question, the scenario can be best explained by a random event.

Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.

From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.

Answer:

The complete question can be found online.

The missing information is:

Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km

Remember that 1000cm^3 = 1 L

then:

100cm^3 = 0.1L

This means that he uses 0.1 L per kilometer.

The equation that shows how many liters of fuel he will have is:

initial fuel - consumed fuel.

We know that the initial fuel is 30 liters.

And the consumed fuel will be the amount of fuel he used to drive the 120 km

Remember that for each km, he consumes 0.1 L of fuel.

Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:

120*0.1 = 12 L of fuel

Then the remaining fuel in the tank is:

30 L - 12 L = 18L

There are 18 L of fuel in the tank.

Answer:

Should be 30-100/1000*120

Step-by-step explanation:

Answer:

y = 5/3x + 9

Step-by-step explanation:

y = 5/3x + b

4 = 5/3(-3) + b

4 = -5 + b

9 = b

Answer:

in the first person participle.

Step-by-step explanation:

Answer:

24 [tex]m^{2}[/tex]

Step-by-step explanation:

Area of parallelograms is :

A = b x h

The height must be a line perpendicular to the base.

The slant measuring 5 is not perpendicular to the base.

A = 6 x 4

A = 24

Answer:

option 4

Step-by-step explanation:

f(x) = 5x + 40

f(x = - 5) = 5 ( - 5) + 40

            = -  25 + 40

             = 15

f(x) = 5x + 40

f(-5) = 5(-5) + 40

= 15

Ans: 15

The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

From the question, we are to determine the equivalent equation solved for h

From the given information,

The amount of potential energy, P, is modeled by the equation

P = mgh

To determine the equivalent equation solved for h, we will make h the subject of the equation,

From,

P = mgh

Divide both sides of the equation by mg

That is,

[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]

∴ [tex]\frac{P}{mg} = h[/tex]

Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

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Answer

B

Step-by-step explanation:

Edge 2022

Given:

The graph of h(x) is the greed dashed line segment.

To find:

The endpoints of the function [tex]h^{-1}(x)[/tex].

Solution:

If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function [tex]f^{-1}(x)[/tex]

From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).

So, the endpoints of the inverse function [tex]h^{-1}(x)[/tex] are (1,-8) and (-4,3).

Therefore, the endpoints of [tex]y=h^{-1}(x)[/tex] are (1,-8) and (-4,3), and the graph is shown below.

Answer:

Step-by-step explanation:

what is it that you don't understand about how to get this?  

2(4-3x) + 5(2x-3) = 20-5x

Answer:

A

Step-by-step explanation:

6 (2) - 4 (3)

12 - 12

0

hope this helps you

Answer:

f(-3.2) = -7.2

Step-by-step explanation:

Here, we want to calculate f(-3.2)

What we have to do here is to substitute-3.2 for x in the equation for f(x)

Mathematically, we have this as;

f(-3.2) = -3.2-4 = -7.2

Answer:

Step-by-step explanation:

a)3*4*2*b = 24b

Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied

b) c⁵ *c = c⁵⁺¹ = c⁶

c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷

Answer:

x =48.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin x = 54 /72

Taking the inverse sin of each side

sin ^ -1( sin x) =sin ^-1 ( 54/72)

x = 48.59037789

To the nearest tenth

x =48.6

Answer:36.9

Step-by-step explanation:

Answer:

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