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arlik [135]
3 years ago
12

Solve for the value of x ? −2(x+13)+9x=4

Mathematics
2 answers:
Reika [66]3 years ago
7 0

Answer:

30/7

Step-by-step explanation:

Distribute:

-2x-26+9x=4

Combine like terms:

7x-26=4

Add 26.

7x=30

Divide by 7:

x=30/7.

Hope this helps :D

Novay_Z [31]3 years ago
6 0

Answer:

x = 30/7

Step-by-step explanation:

−2(x+13)+9x=4

Multiply out the bracket

-2x - 26 + 9x = 4

Combine the x terms

(-2x + 9x) - 26 = 4

7x - 26 = 4

Rearrange into the form Ax = b, so all the x's are on one side and the integers are on the other.

7x = 4 + 26

7x = 30

Rearrange into the form x = b, so x is on one side and the integer is on the other.

x = 30/7

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4 0
3 years ago
Prove that C(50,3) + C(50,4) = C(51,4)
valkas [14]

By definition of the binomial coefficient,

C(n,k) = \dfrac{n!}{k!(n-k)!}

so we have

C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)

as required.

5 0
2 years ago
8. Lesly took a test with 30 questions. The ratio of correct answers to incorrect answers
Firlakuza [10]

Lesly got 14 answers correctly.

  • Let the correct answers be C.
  • Let the incorrect answers be I.

<u>Given the following data:</u>

  • Total number of questions = 30 questions.
  • Ratio of C to I = 7 : 8
  • C to I = 7 + 8 = 15

To find the number of answers she got correctly;

C = \frac{7}{15} × 30

C = 7 × 2

<em>Correct answers, C </em><em>= </em><em>14 answers</em>

Therefore, Lesly got 14 answers correctly.

Read more: brainly.com/question/24613908

4 0
2 years ago
Find the equation of the line.
ki77a [65]

Hello,

2 points of the line: (2,0) and (0,3)

\Delta\ y=3-0=3\\\Delta\ x=0-2=-2\\\dfrac{\Delta\ y}{\Delta\ x} =\dfrac{-3}{2} \\\\y-0=\dfrac{-3}{2}*(x-2)\\\\\boxed{y=-\dfrac{3x}{2}+3}\\

3 0
3 years ago
Please help !!
shutvik [7]

Given:

The limit problem is:

\lim_{x\to 3}(x^2+8x-2)

To find:

The limit of the function by using direct substitution.

Solution:

We have,

\lim_{x\to 3}(x^2+8x-2)

Applying limit, we get

\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2

\lim_{x\to 3}(x^2+8x-2)=9+24-2

\lim_{x\to 3}(x^2+8x-2)=33-2

\lim_{x\to 3}(x^2+8x-2)=31

Therefore, the correct option is D.

4 0
3 years ago
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