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Aleks [24]
2 years ago
8

If mc022-1.j pg and mc022-2.j pg, what is the value of (f – g)(144)? –84 –60 0 48

Mathematics
2 answers:
emmainna [20.7K]2 years ago
6 0

Answer:

(f-g) (144) = 0.

Step-by-step explanation:

Given : f(x) = \sqrt{x}+12 and g(x) =  2\sqrt{x} .

To find : what is the value of (f – g)(144).

Solution : We have given

By the formula :  (f – g)(x) = f(x) - g(x)

(f – g)(144) = f(144) - g(144).

f(x) - g(x) = \sqrt{x} +12 -2\sqrt{x}.

(f-g) (x) = 12 - \sqrt{x}.

(f-g) (144) = 12 - \sqrt{144}.

(f-g) (144) = 12 -12

(f-g) (144) = 0.

Therefore, (f-g) (144) = 0.

Mashutka [201]2 years ago
5 0

Answer:

0

Step-by-step explanation:

f(x) = √(x) + 12

g(x) = 2√(x)

(f-g)(x) = √(x) + 12 - 2√(x)

(f-g)(x) = 12 - √(x)

if x = 144

(f-g)(144) = 12 - √(144) = 12 - 12 = 0

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Math help please Let f(x)=x2+5 and g (x)=3x+4; find (g o f)(7); (g o f)(7)=; help me solve!! Please!
lorasvet [3.4K]

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

<span />

(fog)(x) = f(g(x)

             = f(x+3)

               = 2(x+3)

               = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

            = g(2x)

           = 2x + 3

==> <span>(gof)(x) = 2x + 3</span>

5 0
1 year ago
The floor plan of a proposed auditorium shows a stage that measures 1.75 inches in width. The scale of the floor plan is 1in. =
Darya [45]
Can you make the picture more clear
6 0
2 years ago
Write three numerical expressions that are equivalent to (0.0004) . (0.005)
yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}

Similarly,

0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}

Therefore,

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}

Therefore, third equivalent numerical expression is:

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

8 0
1 year ago
Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the
antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is,    $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ M=$11,890\cdot \frac{21.958}{1000}

On solving we get,  M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount=(\$261.082\cdot 48)-11,890

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment=(261.082\cdot 48)+$1500=$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2  

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175  

Collision insurance=$500 deductible:  Premium $148  

Comprehensive insurance= $500 deductible : Premium $85  

Her total annual premium= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60

8 0
1 year ago
HURRY!
kirza4 [7]
Answer: $2.26
10% of $52.50 is 5.25. Then, $52.50-$5.25 is $47.25. $49.99-$47.25 is $2.26
4 0
1 year ago
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