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Savatey [412]
2 years ago
5

Danielle is x years old. Her sister is five years older and her brother is half Danielle’s age. Write an expression in simplest

form for the sum of their ages
Mathematics
1 answer:
Alborosie2 years ago
7 0
Let x = Danielle, x + 5 = her sister, and .5x = her brother.

x + x + 5 + .5x = the sum of their ages.

Then we simplify to get 2.5x + 5 = the sum of their ages.
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For which nonnegative value of x is the expression 5+x/25-x^2
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Answer:

Step-by-step explanation:

\frac{5+x}{25-x^2} >0\\=\frac{5+x}{(5+x)(5-x)} \\=\frac{1}{5-x} >0\\if~5-x>0\\or~5>x\\or x

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Find the product 6,372×75
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477900 there you go use a calculator next time ;)
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Which values of A and B make the following equations true?
Korolek [52]
<span>(5x^7 y^2)(-4x^4 y^5) =-20x^a y^b
</span><span>
solve this:
(5x^7 y^2)(-4x^4 y^5)
= -20 x^(7 + 4) y^(2 + 5)
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answer

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5 0
3 years ago
The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?
valentinak56 [21]
Consider this option:
1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).
2. using the property described above:
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3 0
2 years ago
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In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each
Rudiy27

Answer:

N(t) = 972(1.015)^{t}

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

N(t) = N(0)(1+r)^{t}

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that N(0) = 972

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that r = 0.015

Then

N(t) = N(0)(1+r)^{t}

N(t) = 972(1+0.015)^{t}

N(t) = 972(1.015)^{t}

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

N(t) = 972(1.015)^{t}

N(12) = 972(1.015)^{12}

N(12) = 1162

The number of students enrolled in 2014 is 1162.

7 0
2 years ago
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