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3 years ago

which represents the solution(s) of the system of equations, y=x^2-2x-15 and y=8x-40? determine the solution set algebraically

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

y=x^2-2x-15 (1) y=8x-40 (2)

8x-40=x^2-2x-15
X^2+10x-25=0
(x-5)^2
×=5 y=0

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The sum of four consecutive even integers is 256. what are the numbers?

Naily [24]

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

7 0

3 years ago

A jar contains only pennies, nickels, dimes, and quarters. There are 16 pennies, 18 dimes, and 28 quarters. The rest of the

tatyana61 [14]

Answer:

I hope this helps you

Step-by-step explanation:

84-16=68

68-18=50

50-28=22

n=22

equation:84-(16+18+28)

6 0

2 years ago

Read 2 more answers

Can someone explain how to even do this, I literally just don't get it

kolezko [41]

Answer:

It is an isosceles triangle (side FE = FG)

Therefore the base angles are equal.

75 degrees = 2x degrees

x = 75 / 2 = 37.5 degrees

Step-by-step explanation:

3 0

2 years ago

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his

musickatia [10]

Step-by-step explanation:

<h3>Given Information :</h3>

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
Remaining money = $759

<h3>To calculate :</h3>

His monthly salary.

<h3>Calculation :</h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\$

$\longrightarrow\sf {10x+ 15939= 21x} \\$

$\longrightarrow\sf {15939= 21x - 10x} \\$

$\longrightarrow\sf {15939= 11x} \\$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\$

$\longrightarrow\underline{\boxed{\bf {1449= x}}} \\$

Therefore, his monthly income is $1449.

7 0

3 years ago

Y/2-8=6 solve for y pls

Gekata [30.6K]

Answer:

28 is y...............

7 0

2 years ago