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asambeis [7]
3 years ago
6

Which value of x from the set {4, 5, 6, 7}, makes this equation true? 4(8 − x) = 8

Mathematics
2 answers:
vekshin13 years ago
8 0
4(8 - x) = 8, 32 - 4x = 8, -4x = -24, So x = 6
Neporo4naja [7]3 years ago
6 0
The answer should be C.) 6
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2x^2=9-3x <br> Find the factors
d1i1m1o1n [39]

Answer:

x = -3, $ \frac{3}{2} $

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

           $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

5 0
3 years ago
MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

7 0
3 years ago
6. The first six terms in a quadratic pattern are
dexar [7]
Since 83-59=24, 83 is added by 28 so your answer would be 111.
5 0
3 years ago
When will the ball hit the ground
Likurg_2 [28]

Sorry but you didnt add a picture nor description. If you can, please re-ask this question with the following:

Details to your question

A picture or drawing

Thanks - Madilyn.

5 0
3 years ago
Read 2 more answers
Harvey Alson invested $7,500 in a 2-year CD that pays 6% interest compounded quarterly. What is the amount of interest that Harv
irga5000 [103]
A=7,500×(1+0.06÷4)^(4×2)
A=8,448.69

Interest earned=8,448.69−7,500
Interest earned=948.69
5 0
3 years ago
Read 2 more answers
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