Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
First statement is correct. If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
Given,
The rate of reading of a novel by Sasha = 0.8 pages per minute
The rate of reading of autobiography by Sasha = 0.5 pages per minute
The reading requirement of Sasha's English class = atleast 75 pages per week
The given equation: 0.8n + 0.5a ≥ 75
n is the number of minutes she reads the novel
a is the number of minutes she reads the autobiography
Now, let's check the statements:
Statement 1: If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
That is,
0.8 × 94 + 0.5 × 0 ≥ 75
75.2 ≥ 75
This statement satisfies the equation.
Other 4 statement didn't satisfy the equation.
So, first statement is correct.
Learn more about rate of reading here:
brainly.com/question/4459849
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Answer:
24
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rewrite the system of equations as:
Subtract the second equation from the first to isolate :
Plug in into any of the equations above and solve for :
Verify that the solution pair works
Therefore, the solution to this system of equations is:
Answer:
16 books
Step-by-step explanation:
133-5=128
128/8=16