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3 years ago

5x + 10 = −4x − 17 what is x

Mathematics

2 answers:

meriva3 years ago

5 0

5x + 10 = -4x - 17
+4x +4x

5x + 4x = 9x

9x + 10 = -17
-10 -10

-27

9x = -27 9x/9 = -27/9

x = -3

katovenus [111]3 years ago

4 0

this is how you solve for x;

5x + 10 = -4x -17

5x + 4x + 10 = -4x +4x -17 (add 4x on both sides)

9x + 10 = -17

9x +10-10 = -17 -10 (subtract 10 on both sides)

9x = - 27 (next do the inverse operation of x)

x = -27 ÷ 9

x = -3

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Reika [66]

Answer:

(1,-5)

Step-by-step explanation:

The given system of inequalities are;

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and

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The point that is a solution will satisfy the two inequalities.

Checking for (1,-5)

$-5\:$ and $-5\:$

$-5\:$ : True $-5\:$ : True

This point lies in the solution region.

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$5\:$ : False $5\:$ : False

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Checking for (5,1)

$1\:$ and $1\:$

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3 years ago

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Vinvika [58]

C-d=b add to both sides d and will get

c-d+d=b+d

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3 years ago

Which three lengths CANNOT be the lengths of the sides of a triangle

kogti [31]

Answer:

I believe 21 cm

Step-by-step explanation:

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2 years ago

The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car

nordsb [41]

Answer:

A. V (2) = $ 391,114.50

B. t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

Step-by-step explanation:

Given formula:

V(t) = 420,000 * (0.965)^t

A. What would be worth the car′s worth in 2 years?

V(t) = 420,000 * (0.965)^t

We replace t by 2, as follows:

V(2) = 420,000 * (0.965)²

V(2) = 420,000 * 0.931225

V (2) = $ 391,114.50

B. In how many years will the car be worth $325,000?

V(t) = 420,000 * (0.965)^t

We replace V(t) by 325,000, as follows:

325,000 = 420,000 * (0.965)^t

325,000/420,000 = (0.965)^t

0.77381 = (0.965)^t

t = log 0.965(0.7738)

t = log 0.7738/log 0.965

t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

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2 years ago

1. What is the value of x? Show your work to justify your answer.

Reil [10]

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x

The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10. Substitute x=72 into the equation.

2(72)+10

144+10

154

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3 years ago