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2 years ago

Find f(-2) if f(x) = x + x + 7. f(-2) =

Mathematics

1 answer:

Lynna [10]2 years ago

3 0

Answer:

f(-2) = 9

Step-by-step explanation:

Given that,

f(x) = x² + x + 7

We need to find the value of f(-2).

Put x = -2 in the given function.

f(-2) = (-2)² + (-2) + 7

= 4-2+7

= 9

Hence, the value of f(-2) is equal to 9.

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The area of a rectangle is 63m^2 and the length of the rectangle is 11m more than twice the width. Find the length and width.

AleksandrR [38]

Answer:

width = 3.5 m

length = 18 m

Step-by-step explanation:

area = length x width

x is the width then length = 2x + 11

x(2x + 11) = 63

2x^2 + 11x - 63 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 2

b = 11

c = -63

substitute in the formula

x = [-11 +/- √(11^2 - 4(2)(-63))]2(2)

x = [-11 +/- √(121 + 504)]/4

x = [-11 +/- √625]/4

x = (-11 +/- 25)/4

x1 = (-11 + 25)/4 = 14/4 = 3.5

x2 = (-11 - 25)/4 = -36/4 = -9

since width can't be a negative number, x is 3.5

length = 2x + 11 = 2(3.5) + 11 = 18

7 0

2 years ago

Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard devi

Svetllana [295]

Answer:

Step-by-step explanation:

Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.

If X is height then X is N(55,6)

Z score would be $\frac{x-55}{6}$

$a) P(X$

b) $P(60$

c) Tallest 10% z = 1.28

X score = $48+1.28(6) = 55.68$ inches

d) $P(X$

i.e. 16.37% cannot go on this ride.

7 0

3 years ago

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Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles

Mnenie [13.5K]

Answer:

D. $\frac{16}{5}$

Step-by-step explanation:

$3\frac{1}{5}$

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

$3*5=15$

Then, add this number to the numerator.

$15+1=16$

This number is now the numerator of the fraction. The denominator stays the same.

$\frac{16}{5}$

I hope this helps!

5 0

3 years ago

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Are 6:24 and 9:45 ratios equivalent

scoundrel [369]

No. If you do 6+1/3 and 24+1/3 it is not equal.

8 0

3 years ago

!!!!How many solutions does the equation have?

Margaret [11]

No solution bc the equations aren't equal to each other

3 0

3 years ago

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