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3 years ago

One-half of the sum of a number and 6 is less than 25. What is the number

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

Step-by-step explanation:

1/2(n + 6) < 25 Distribute

1/2n + 3 < 25

- 3 - 3 Subtract 3 from both sides

1/2n < 22 Multiply both sides by 2 or divide by 1/2

n < 44

If this answer is correct, please make me Brainliest!

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Write a quadratic function for each graph described.

user100 [1]

Answer:

$y=2x^2-\frac{4}{3}x-\frac{10}{3}$

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

we can write the equation of the parabola as

$y=a(x+1)(x-\frac{5}{3})$

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

$40=a(5+1)(5-\frac{5}{3})$

$40=a(6)(\frac{10}{3})$

$40=20a\\a=2$

substitute

$y=2(x+1)(x-\frac{5}{3})$

apply distributive property

$y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}$

see the attached figure to better understand the problem

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3 years ago

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mote1985 [20]

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Step-by-step explanation:

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