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pantera1 [17]
3 years ago
12

Which number(s) below belong to the solution set of the equation? Check all

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0

Step-by-step explanation:

14x = 112

14 × x = 112

x = 112 ÷ 14

x = 8

Solution → x = 8

sergij07 [2.7K]3 years ago
3 0

Answer:

8

Step-by-step explanation:

14x = 112

x = 112 : 14

x = 8

<h3>x = 8</h3>
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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
3 years ago
Step 1: (3x + 12y) + (10x - 5y)
Reptile [31]

Answer:

What is your question. Correct steps? If it is, then you did the steps correctly.

6 0
3 years ago
What is the area of a triangle
Lady bird [3.3K]
The area of a triangle is 1/2 b/h. So what you do is you find base and height, multiply them together and whatever answer you got, you divide by 2. 

Example:
A= 1/2 (b x h)
A= 1/2 (4 x 6)
A= 1/2 (24)
A= 12

Hope this helps! 
7 0
3 years ago
Which expression is equivalent to 0.06h +h+0.85h? ​
Pie

Answer:

1.91h

Step-by-step explanation:

0.06h+h+0.85h

1.91h

3 0
3 years ago
Read 2 more answers
Y=2x y=7x + 15 substitution
sergejj [24]

y = 2x \\ y = 7x + 15

Substitute the given value of y into the equation y=7x+15

2x = 7x + 15

Move the variable to the left-hand side and change its sign

2x - 7x = 15

Collect like terms

- 5x = 15

Divide both sides of the equation by -5

x =  - 3

Substitute the given value of x into the equation y=2x

y = 2 \times ( - 3)

Solve the equation for y

y =  - 6

The possible solution of the system is the ordered pair (x,y)

(x,y) = ( - 3, - 6)

7 0
3 years ago
Read 2 more answers
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