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Keith_Richards [23]
3 years ago
13

Solve each equation by factoring. 1) 7x² + 63x = -126

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0
7x^2 + 63x + 126 = 0
7(x^2 + 9x + 18) = 0
7(x + 3)(x + 6) = 0
X = -3 X= -6
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The product of two positive consecutive odd integers is 2703. What are the positive numbers?
liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

x^2+2x-2703=0

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

7 0
3 years ago
Triangles and algebra
Elanso [62]

Hello from MrBillDoesMath!

Answer:

x = 10


Discussion:

A plane triangle contains 180 degrees. Adding the angles in the triangle shown in  #8 gives

(4x + 7) + (3x + 13) + 90 = 180


Note the "right angle" shown in the triangle has been replaced by its 90 degree equivalent in the above equation.

Combining like terms gives


( 4x + 3x) + (7 + 13) + 90 = 180

7x + 20 + 90 = 180 =>                      (subtract 90 from each side)

7x + 20 + 90 - 90 = 180 - 90 = 90  =>

7x +20 = 90  =>                                (subtract 20 from each side)

7x + 20 -20 = 90 -20 =>

7x = 70 =>

x 70/7 =10.



Thank you,

MrB

3 0
4 years ago
A package of 24 trading cards sells for $4.99 Based on this price, what is the price per card
algol13

Answer:

4.80961924

Step-by-step explanation:

4 0
3 years ago
HURRRYYYY PLEASE ANSWER SUPER QUICK The table shows the relationship between x and y.
Alex17521 [72]

Answer:

  • 2 times

Step-by-step explanation:

According to the table, each value of y (dependent variable) is twice the corresponding value of x (independent variable).

This can be shown as

  • y = 2x

Correct choice is 2 times

5 0
2 years ago
Solve the following equation for N<br><br> 1/5 (N+3)+4=3/10 (2N-2)<br><br><br> n = ________
postnew [5]

Answer:

n = 13

Step-by-step explanation:

1/5(n + 3) + 4 = 3/10(2n - 2)

~Simplify both sides

1/5n + 3/5 + 4 = 3/5n - 3/5

~Combine like terms

1/5n + 23/5 = 3/5n - 3/5

~Subtract 23/5 to both sides

1/5n = 3/5n - 26/5

~Multiply 5 to both sides

n = 3n - 26

~Subtract 3n to both sides

-2n = -26

~Divide -2 to both sides

n = 13

Best of Luck!

8 0
4 years ago
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