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2 years ago

Which of the following is a key property of the quadratic parent function?

Mathematics

1 answer:

Mars2501 [29]2 years ago

6 0

Answer: B

Step-by-step explanation:

Quadratic parent function is y=x^2 which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.

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If Jessie is 24 years younger than her mother and if the sum of their ages is 84, how old is Jessie?

Studentka2010 [4]

Jessis should be 18 years old.

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2 years ago

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2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of th

liraira [26]

Answer:

11.25

Step-by-step explanation:

sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25

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2 years ago

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Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14

MatroZZZ [7]

Answer:

The plant grew $12\frac{1}{14}$ inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

$6\frac{2}{7}+5\frac{11}{14}$

Let's convert both fractions to improper form:

$6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}$

Adding the integers:

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}$

Now we find the LCM of 7 and 14 is 14, thus:

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}$

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}$

$6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}$

$6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}$

Rewriting as a mixed number:

The plant grew $12\frac{1}{14}$ inches

8 0

2 years ago

Scientists released 10 birds into a new habitat in year 0. Each year, there were

Natali [406]

Answer:

f(x) = $3^{x}$ + 10

Step-by-step explanation:

Year one would be 10 + 3

Year two would be (3*3)+10

year three would be (3*3*3)+10

Which easily simplifies into $3^{x}$ + 10.

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2 years ago

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In triangle ABC AD/DB = CE/EB. Complete the proof showing the segment DE is parallel to segment AC.

Natasha_Volkova [10]

Answer:

1. $\dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1$

2. Addition property of equality

Step-by-step explanation:

In triangle ABC,

$\dfrac{AD}{DB}=\dfrac{CE}{EB}.$

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true.

Use addition property of equality, add 1 to both sides of previouse equality:

$\dfrac{AD}{DB}=\dfrac{CE}{EB}\\ \\\dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1\\ \\\dfrac{AD+DB}{DB}=\dfrac{CE+EB}{EB}$

5 0

2 years ago