Explanation: Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.
a÷c=b÷c for c≠0
<u><em>First, you divide by 3 both sides of an equation.</em></u>
<u><em>3y/3=24/3</em></u>
<u><em>Then, simplify.</em></u>
<u><em>24/3=8</em></u>
<u><em>8*3=24</em></u>
<u><em>24/8=3</em></u>
<u><em>y=8 is the final answer.</em></u>
<u><em>Hope this helps!</em></u>
<u><em>Thanks!</em></u>
<u><em>Have a great day!</em></u>
Answer:
Step-by-step explanation:
Average is the sum of the items in a data divided by the number of items in the data. The role of average is to determine a representative value for the given set of data. What average refers to in statistics is the arithmetic mean. There are other types of mean as well. Therefore, what we are referring to in this scenario is the arithmetic mean. Therefore, another term should not be used in place of average. Therefore, the correct option is
C. The term average is often used in statistics to represent the mean.
10% of $2,000 is $200.
30%=3*10%
Therefore:
30% of $2,000 is $600.
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15
Total questions = 26 + 4 + 15 = 45
45 * 80% = 36 required correctly answered questions.
36 - 26 = 10
Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.
