The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the step that is the part of the process of algebraically solving the given system of equations:
That would be:
(C) 4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substituted for y).
Proof:
- y + 5x = x² + 10
- (4x - 10) + 5x = x² + 10
- 4x - 10 = x² -5x + 10
(E) 0 = x2 – 9x + 20 (liked terms are grouped and simplified).
Proof:
- 4x - 10 = x² -5x + 10
- 4x = x² -5x + 10 + 10
- 0 = x² -5x -4x + 20
- 0 = x² - 9x + 20
Solving:
- x² - 9x + 20 = 0
- x² - 5x - 4x + 20 = 0
- (x - 5) (x - 4) = 0
- x = 4 (as question says) OR x = 5
Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.
Know more about equations here:
brainly.com/question/13763238
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The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.
(A) y = x2 + 5x + 10
(B) y + 5x = x2 + 10 + 4x – 10
(C) 4x – 10 = x2 – 5x + 10
(D) 0 = x2 – 9x
(E) 0 = x2 – 9x + 20
(F) One x-value of a solution to the system is 4.
Answer:
2^-15 or 1/2^15
Step-by-step explanation:
3*-5 is -15 so that makes it 2^-15
Apply the exponent rule a^-b = 1/a^b
That changes it to 1/2^15
Hope this helped! :)
I think part A is 6 miles in a hour and part B is i'm guessing 20 min is how long it would take because that's how long we take to WALK a MILE.
The correct question is
<span>What is the approximate circumference of the largest circle that could be cut out of an 8 1/2-inch by 11-inch piece of paper? use 3.14 for p and round to the nearest inch?
we know that
the circumference=pi*D
where D is the diameter
dimensions piece of paper
8 1/2 in x 11 in----> 8.5 in x 11 in
so
</span><span>The longest diameter (that remains on the paper) would be 8.5 inches
circumference=3.14*8.5-----> 26.69 in------> nearest inch----> 27 in
the answer is
27 in</span>