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3 years ago

13

Simplify 5k+7+3k. Please Help me

1 answer:

notka56 [123]3 years ago

6 0

Like Terms: 5k and 3k

(5 + 3)k
8k

8k + 7

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<img src="https://tex.z-dn.net/?f=f%28x%29%3D%7C3x-5%7C%2B7x%5C%5Cg%28x%29%3D-2x%2B9%5C%5Cwhat%20is%20%5C%5C%20%28f%2Bg%29%28x%2

Sergio [31]

Given:

The functions are:

$f(x)=|3x-5|+7x$

$g(x)=-2x+9$

To find:

The function $(f+g)(x)$ .

Solution:

We have,

$f(x)=|3x-5|+7x$

$g(x)=-2x+9$

We know that,

$(f+g)(x)=f(x)+g(x)$

On substituting the values of given functions, we get

$(f+g)(x)=|3x-5|+7x+(-2x+9)$

$(f+g)(x)=|3x-5|+7x-2x+9$

$(f+g)(x)=|3x-5|+5x+9$

Therefore, the required function is $(f+g)(x)=|3x-5|+5x+9$ .

7 0

3 years ago

-10(10x-12)=-9(-9x-2)-5

Viefleur [7K]

10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181

7 0

4 years ago

Read 2 more answers

ruslelena [56]

The answer is B. False

6 0

3 years ago

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

3 years ago

HELPPPPPPP PLEASEEEEE !!!!

antiseptic1488 [7]

Answer:

4

Step-by-step explanation:

We know that all lengths in a rhombus are equal so we make the 2 equations equal to each other, then solve for x:

$4x-6=5x-10$

$5x-4x=10-6$

$x=4$

x=4

3 0

2 years ago