Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
-343p^3
Step-by-step explanation:
This is the answer because -7x-7x-7 would be -343 and you MUST keep the negative sign. The p x pxp would be p^3
Multiply the numbers:
-343p^3 would be your answer
Hope this helps!! :D
Answer:
3y is the expression that represents the product of 3 and y
Answer:
2x+12=24
first you subtract 12 from both sides
2x+12=24
-12. -12
The 12-12 should cancel itself, the rest of the equation you bring down to get
2x=12 (because 24-12=12)
Now you have 2x=12.
you then divide 2x by both sides.
2x=12
/2x=/2x
The 2x/2x cancels itself out so you then solve for 12/2x.
For this you just divide 12/2 which is 6!
x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!
hope this helps! :D
Answer:
$11.65
Step-by-step explanation:
20% of 58.25, "of" in math means multiplication. So you multiply it.
To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:
.20 * 58.25
So your answer is, $11.65.
To find the total of the bill including the tip it would just be
11.65 + 58.25 = 69.90
