50$ per month for 12 years would mean she spent only (50 x 12) 600$ per year.

She actually spent $711, her forecast was off target by (600-7111) $111.

She exceeded her budget by $111

5 0

2 years ago

X^2-3x-28=0 what are the roots

Oksi-84 [34.3K]

Answer:

$\large\boxed{x=-4\ \vee\ x=7}$

Step-by-step explanation:

$x^2-3x-28=0\\\\x^2+4x-7x-28=0\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\x=-4\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7$

8 0

2 years ago

Select whether each system of equations has no solution, one solution, or infinitely many solutions.

erik [133]

Answer:

one solution, no solution, infinitely many solutions

Step-by-step explanation:

I rearranged the first equation into x=6-2y

plug that into the second equation

2(6-2y)-3y=26

12-4y-3y=26

12-7y=26

-7y=14

y=-2

Then you plug that into one of the equations

x+2(-2)=6

x-4=6

x=10

The solution to the first system is (10,-2)

the second system already has one equation as something equal to a single variable so you just plug that into the other one

4x-2(2x-4)=-6

4x -4x +8 =-6

8=-6

this is a false statement so the system of equation has no solution

Lastly I rearranged the first equation into y=2x-4 and then plug that in

6x-3(2x-4)=12

6x-6x+12=12

12=12

this statement is true so the system of equations has infinite solutions

5 0

3 years ago

plz help me with write and solve a real world problem involving the multiplication of a fraction and a whole number whose produc

Ymorist [56]

If it is a mixed number than a real world problem would be:

Kim was baking cookies. She needed 1 1/2 cups of flour for one batch. If she wanted to bake 2 batches she would need 15 cups. What operation dd I do to get from 1 1/2 to 15 cups?
Hope that helps!

4 0

3 years ago