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Klio2033 [76]
3 years ago
15

Range of f(x)=-(x-5)^2+9

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer: (5, -9)

Step-by-step explanation:

Rewrite the equation in term of  x and y.

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the legs of a right triangle are 10 centimeters and 24 centimeters long. what is the length of the hypotenuse?
igomit [66]
Pytharorean therum...can only be used on right triangles
a^2 + b^2 = c^2...a and b r ur legs and c is ur hypotenuse
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt 676 = c
26 = c <== ur hypotenuse is 26 cm
6 0
3 years ago
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Rhonda bought a new laptop for $800. The laptop depreciates, or loses, 20% of its value each year. The value of the laptop at a
zhuklara [117]

As per the problem,

Rhonda bought a new laptop for $800.

The laptop depreciates, or loses, 20% of its value each year.

The value of the laptop at a later time can be found using the formula

A=P(1-r)^t.....(1)

Here we have

P=$800

r=20%=0.20

t=2 years

Substitute the values in equation (1) we get

A=800(1-0.2)^2\\ \\ \Rightarrow A=800(0.8)^2\\ \\ \Rightarrow A=800*0.64\\ \\ \Rightarrow A=512\\

The laptop be worth in two years will be $512.

6 0
2 years ago
I need big help, what are the step by step math problem and the answer to (18/-2)^2?
Serggg [28]

Hii :))

\tt \: ( \frac{18}{ - 2} ) ^{2}  \\   \tt \: =  (-  \frac{18}{2} ) ^{2}  \\  \tt =  \frac{-18 \times -18}{-2 \times -2}  \\  =    \tt  \frac{324}{4}  \\ = \boxed{\tt\:81}

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

\overbrace{ \underbrace{ \sf \: \infty  \:  Carry \: on \: Learning \:  \infty }}

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8 0
3 years ago
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The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers
gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.  

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked \times cost per hour

\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0
3 years ago
On Novenber 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outst
ivann1987 [24]

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

The bank statement balance= $2,253.18

The checkbook balance = $2,324.34

outstanding check amounts= $105.50 and $158.10

transit amount= $605.27

account earnin(credits)= $68.51

service charge= $5.00

Adjusted Checkbook Balance =?

Adjusted  Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

\text{total checkbook balance = checkbook balance+ credits}\\

                                      = \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85

\text{ Adjust check book balance= total checkbook balance - servicec  charge}

                                         = \$2392.85 - \$5.00\\\\= \$ 2387.85

Adjusted the Statement Balance:

bank statement balance= $2,253.18

\text{total Statement balance = bank  Statement balance+  transit amount}\\

                                      = \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45

\text{outstanding check amounts = $105.50+ $158.10}

                                           = \$263.60

\text{ Adjust statement  balance= total statement balance - outstanding check amount }                                        = \$ 2,858.45 -  \$263.60\\\\= $ 2,594.85

8 0
3 years ago
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