Solve 7x – 5x – 3 = x 4.

-5x+2y=6<br> -x+2y=-2 <br> what is the solution to the system of equations?

dybincka [34]

Step-by-step explanation:

$- 5x + 2y = 6 \\ - x + 2y = - 2 \\ \\ - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\ - 5x + 2y + x - 2y = 6 + 2 \\ - 4x = 8 \\ \frac{ - 4x}{ - 4} = \frac{8}{ - 4 } \\ x = (- 2) \\ \\ -5x + 2y = 6 \\ - 5 \times - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y = - 4 \\ \frac{2y}{2} = \frac{ - 4}{2} \\ y = - 2 \\ now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\ - x + 2y = - 2 \\ - ( - 2) + 2 \times - 2 = - 2 \\ 2 + 2 \times - 2 = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \\ yes \: this \: equation \: is \\ correct.$

7 0

3 years ago

Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

vredina [299]

Question:

Consider the sequence of numbers: $\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

$f(n + 1) = f(n) + \frac{3}{8} .$

Explanation:

A sequence of numbers are

$\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Let us first change mixed fraction into improper fraction.

$\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}$

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

$\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}$

$\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}$

$\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}$

$\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}$

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding $\frac{3}{8}$ to the previous term.

Hence, the sequence is recursive and can be represented by the function $f(n + 1) = f(n) + \frac{3}{8} .$

3 0

3 years ago

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

boyakko [2]

Answer:

49

Step-by-step explanation:

y = 7^2

= 49

5 0

3 years ago

Kurt has a collection of 155 United States and Canadian stamps. He has 1.5 times as many United States stamps as Canadian stamps

stealth61 [152]

Kurt has 93 United States stamps in his collection

Step-by-step explanation:

The given is:

Kurt has a collection of 155 United States and Canadian stamps
He has 1.5 times as many United States stamps as Canadian stamps

We need to find how many United States stamps Kurt has in his collection

Assume that kart has x Canadian stamps

∵ kart has x Canadian stamps

∵ He has 1.5 times as many United States stamps as Canadian stamps

- That means the number of United States stamps is 1.5 times

the number of the Canadian stamps

∴ The number of the United States stamps = 1.5 x

∵ Kurt has a collection of 155 United States and Canadian stamps

- Add the two numbers of stamps and equate the answer by 155

∴ x + 1.5 x = 155

- Add like terms

∴ 2.5 x = 155

- Divide both sides by 2.5

∴ x = 62

∵ The number of United States stamps = 1.5 x

∴ The number of United States stamps = 1.5(62)

∴ The number of United States stamps = 93 stamps

Kurt has 93 United States stamps in his collection

Learn more:

You can earn more about the simple equation in brainly.com/question/11306893

#LearnwithBrainly

5 0

3 years ago

Need help with geometry

ra1l [238]

The answer is x=3 because abt+tbc=abc

3 0

3 years ago