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3 years ago

Simplify: 5a + 1r + 2a + 4r

Mathematics

1 answer:

Marina CMI [18]3 years ago

4 0

Answer:

7a+5r

Step-by-step explanation:

5a + 1r + 2a + 4r

add like terms

7a+5r

hope that helps

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Given: f(x)=x^2, g(x)=x+6, h(x)=7 Find h{g[f(x)]}

arsen [322]

Step-by-step explanation:

$f(x)=x^2,\ g(x)=x+6,\ h(x)=7\\\\h(x)=7\ \text{It's the constant function. Therefore}\ h\{g[f(x)]\}=7$

4 0

3 years ago

Solve: –x – 7 = –2x – 11

Ivan

Simplifying (7 + -2x)(11 + -2x)(x) = 0 Reorder the terms for easier multiplication: x(7 + -2x)(11 + -2x) = 0 Multiply (7 + -2x) * (11 + -2x) x(7(11 + -2x) + -2x * (11 + -2x)) = 0 x((11 * 7 + -2x * 7) + -2x * (11 + -2x)) = 0 x((77 + -14x) + -2x * (11 + -2x)) = 0 x(77 + -14x + (11 * -2x + -2x * -2x)) = 0 x(77 + -14x + (-22x + 4x2)) = 0 Combine like terms: -14x + -22x = -36x x(77 + -36x + 4x2) = 0 (77 * x + -36x * x + 4x2 * x) = 0 (77x + -36x2 + 4x3) = 0 Solving 77x + -36x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(77 + -36x + 4x2) = 0 Factor a trinomial. x((7 + -2x)(11 + -2x)) = 0

8 0

3 years ago

Read 2 more answers

The 11 foot long bed of a dump truck loaded with debris must rise an angle of degrees before the debris will spill out. Approxim

Ymorist [56]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. The complete question is:

The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.

Solution:

Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:

sin θ = opposite / hypotenuse

Using trigonometric identities, we can get that:

sin(30) = x / 12

This gives:

0.5 = x / 12

Cross multiplying the terms to get:

x = 12 * 0.5

x = 6 ft

Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.

4 0

3 years ago

Which statement about liters and milliliters is true?

gogolik [260]

Answer:

There are 1,000 mL in a L

Step-by-step explanation:

All the other answers are wrong

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2 years ago

The volume of this cube is 27 cubic meters. What is the value of m?

ladessa [460]

Hey ! there

Answer:

n is equal to 3 meters

Step-by-step explanation:

In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .

For finding the value of n we need to know the volume of cube. So ,

$\: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}$

Where ,

a refers to edge of cube

SOLUTION : -

Substituting given volume that is 27 m³ and value of a as n in formula :

$\quad \longrightarrow \qquad \: n {}^{3} = 27$

Applying cube root on both sides :

$\quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27}$

We get ,

$\quad \longrightarrow \qquad \:n= \sqrt[3]{27}$

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

$\quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar$

Henceforth , value of n is ❝ 3 meters ❞

Verifying : -

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

a³ = 27 ( where a is equal to n )

Substituting values :

( 3 )³ = 27

3 × 3 × 3 = 27

9 × 3 = 27

27 = 27

L.H.S = R.H.S

Hence, Verified .

Therefore, our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

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