Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.

This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.

which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.

which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.
H(t)=-16t²+500
0=-16t²+500
16t²=500
t²=31.25
t=5.9 seconds before the object hits the ground
☺☺☺☺
Answer:
91
Step-by-step explanation:
There are 13 scores in total,the Middle score is the median score.
<h3>
Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>
Step-by-step explanation: Given equation y=2x+3.
Where x is the amount she spends on transportation, and y is the amount she spends on groceries.
<em>We can see that given equation is in slope-intercept form y=mx+b.</em>
So, it's a linear equation and y=2x+3 is the relationship between x and y linear.
<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>
But for the given equation y=2x+3, y-intercept is 3.
Therefore, it's not a proportional relationship.
Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.
Therefore,
y = 2(30) +3 = 60+3 = 63.
<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>
Answer:
<h2><em><u>Option</u></em><em><u> </u></em><em><u>B</u></em><em><u>:</u></em></h2><h3><em><u>112</u></em><em><u> </u></em><em><u>families</u></em><em><u> </u></em></h3>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
No. of families = 75
Out of 75 no. of families had cars = 42
Out of 1, no. of families can have cars

<em><u>Therefore</u></em><em><u>, </u></em>
Out of 200 families, no. of families had cars


= 8 × 14
= 112
<em><u>Hence</u></em><em><u>, </u></em>
<em><u>option</u></em><em><u> </u></em><em><u>B</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u> </u></em><em><u>as</u></em><em><u> </u></em><em><u>112</u></em><em><u> </u></em><em><u>families</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>cars</u></em><em><u> </u></em><em><u>out</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>200</u></em><em><u> </u></em><em><u>families</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>