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3 years ago

Simplify (-63) ÷ (-9)

Mathematics

2 answers:

Julli [10]3 years ago

6 0

Dividing two negatives equals a positive:
(-63) / (-9) = 7

sasho [114]3 years ago

3 0

Answer:

Find the GCD (or HCF) of numerator and denominator

GCD of 63 and 9 is 9

Divide both the numerator and denominator by the GCD

63 ÷ 9

9 ÷ 9

Reduced fraction:

7/1

Therefore, 63/9 simplified to lowest terms is 7/1.

Step-by-step explanation:

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13....................

Mashcka [7]

13.

(a)

$y=-5x^2+21x-3$

for x = 2:

$y=-5(2)^2+21(2)-3=-20+42-3=19$

for x = 5

$y=-5(5)^2+21(5)-3=-125+105-3=-23$

(b)

The graph is:

(c)

Using the graph:

$\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}$ $\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}$ $\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}$

Using the quadratic formula:

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}$

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1 year ago

Find the inverse function of

shtirl [24]

Answer:

$f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4 \\ divide \: both \: sides \: by \: 20 \\ y = \frac{1}{20} x + \frac{1}{5} \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) = \frac{1}{20} x + \frac{1}{5}$

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

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2 years ago

A mountain gorilla weighs 135 pounds and is gaining pound each week. An eastern gorilla

Tju [1.3M]

Answer:

njnnnnnnn

Step-by-step explanation:

nmkm

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2 years ago

Consider the proof.

fiasKO [112]

Answer:

Correct choice is B

Step-by-step explanation:

In step 4 were proved that $\triangle ABC\sim\triangle DEC.$

By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,

$\dfrac{AC}{DC}=\dfrac{BC}{EC}.$

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3 years ago

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Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?

mestny [16]

.78 cents for one quart <--- Answer

First you need to find how much is it per gallon
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Now we need to find out how many quarts are in a gallon. Which is 4 quarts per 1 gallon

Now that we know this you need to divide the chost of one gallon by 4(# of quarts in one gallon)
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3 years ago

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