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vovangra [49]
3 years ago
10

What is x in the equation -3(7-2x)+3=8x-10

Mathematics
2 answers:
damaskus [11]3 years ago
4 0

Answer:

x=-4

Step-by-step explanation:

−3(7−2x)+3=8x−10

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

(6x)+(−21+3)=8x−10(Combine Like Terms)

6x+−18=8x−10

6x−18=8x−10

Step 2: Subtract 8x from both sides.

6x−18−8x=8x−10−8x

−2x−18=−10

Step 3: Add 18 to both sides.

−2x−18+18=−10+18

−2x=8

Step 4: Divide both sides by -2.

−2x

−2

=

8

−2

x=−4

3241004551 [841]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

(6x)+(−21+3)=8x−10(Combine Like Terms)

6x+−18=8x−10

6x−18=8x−10

Step 2: Subtract 8x from both sides.

6x−18−8x=8x−10−8x

−2x−18=−10

Step 3: Add 18 to both sides.

−2x−18+18=−10+18

−2x=8

Step 4: Divide both sides by -2.

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What are the $x$ - and $y$ -intercepts of the equation $3x+4y=24$ ?
Angelina_Jolie [31]

The x and the y-intercepts of the function are 8 and 6, respectively

<h3>Intercepts</h3>

The intercepts of a function are the points where the graph of the function crosses the x-axis

<h3>The function</h3>

The function is given as:

3x + 4y = 24

Set y to 0, to calculate the x-intercept

3x + 4(0) = 24

3x  = 24

Divide both sides by 3

x  = 8

Set x to 0, to calculate the y-intercept

3(0) + 4y = 24

4y = 24

Divide both sides by 4

y = 6

Hence, the x and the y-intercepts of the function are 8 and 6, respectively

Read more about intercepts at:

brainly.com/question/26233

7 0
2 years ago
What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?
Rudiy27

Answer:

f(x)=x5-x4+9

if x=2,. f(2)= 2⁵-2⁴+9

=32-16+9

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3 years ago
Tyler and Han is trying to solve this system by substitution:
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Answer:

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Step-by-step explanation:

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3 years ago
Solve the equation.<br><br> 5x + 10 = 15<br> A. 3<br> B. 1<br> C. 5<br> D. 25
nikklg [1K]

Answer:

B. 1

Step-by-step explanation:

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
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Answer:

15 possible combinations

Step-by-step explanation:

Given

Vegetables = 6

Selection = 2

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

^nC_r = \frac{n!}{(n-r)r!}

In this case:

n = 6

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The formula becomes:

^6C_2 = \frac{6!}{(6-2)!2!}

^6C_2 = \frac{6!}{4!2!}

^6C_2 = \frac{6*5*4!}{4!2*1}

^6C_2 = \frac{6*5}{2}

^6C_2 = \frac{30}{2}

^6C_2 = 15

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7 0
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