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3 years ago

Is (-1,1) a solution to y=3x+4 and 4y-3x=-7

1 answer:

7 0

(-1,1) is a solution to y=3x+4 but is not a solution to 4y-3x=-7

4y-3x=-7
Plug in the points
4(1)-(3(-1)) =-7
4+3 does not equal -7

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2. Find the product (2x + 3)(3x - 2).

eimsori [14]

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

6 0

3 years ago

Read 2 more answers

How to simplify this expression

dexar [7]

Answer:

$\dfrac{x+2}{x+1}$

Step-by-step explanation:

Factor the numerator and cancel common factors from numerator and denominator.

$\dfrac{x^2-4}{(x-2)(x+1)}=\dfrac{(x-2)(x+2)}{(x-2)(x+1)}=\dfrac{x+2}{x+1}$

5 0

3 years ago

You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor

Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

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4 0

1 year ago

Carrie is finding the set of even numbers within the set of prime numbers. Of the sets described, which is the universal set?

gogolik [260]

Even numbers are considered divisible by 2
Prime numbers are numbers divisible by 1
Considering that in this situation, we only need positive numbers, 2 is the only number. It is even and also prime.

Therefore prime numbers

5 0

2 years ago

-. A businessman plans to retire in 30 years. As part of his retirement plan, he has

stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

$A = P(1 + \frac{r}{100})^{t}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 8000(1 + \frac{6}{100})^{30}$

$A = 8000(1 + 0.06)^{30}$

$A = 8000(1.06)^{30}$

$A = 8000(5.7435)$

A = $45948

7 0

2 years ago