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3 years ago

Find f(x) if it is known that f(x+3)=4x+12.

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

Solution:

we are given that

$f(x+3)=4x+12$

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

$f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\$

Hence the expression representing f(x) is f(x)=4x+3.

Masteriza [31]3 years ago

3 0

I got x= -9/5 but I may have set up the equation wrong. I did x+3=4x+12.

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Leo ordered 79.25 pounds of cookies for a party. When that order came,he received 76.875 pounds of cookies. How many pounds of c

lara31 [8.8K]

2.375 pounds. Just take 79.25 and subtract 76.875 and you get your results.

7 0

3 years ago

Select the correct answer.

Vikki [24]

Answer:

the answer is A. 3225

Step-by-step explanation:

S₃₀ = 30/2 [ 2 x 6 + (30 - 1) x 7 ]

15 [ 12 + 29 x 7 ]

15 [ 12 + 203 ]

15 x 215

=3225

3 0

3 years ago

Mr. Jones wants to place a chimney on his roof. It is recommended that the chimney be set at a height of at least 30 feet. The h

Tom [10]

Absolute value of any number is always positive because it represent distance and distance will always positive.

To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.

Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40

Since, minimum height is 30 feet.

So , substitute f(x)=30 in above expression.

30=−4/3|x−10| + 40

4/3|x−10| = 10

|x−10|=30/4

|x−10| = 7.5

Taking positive case,

x−10 = 7.5

x = 17.5 feet

Taking negative case,

x−10 = - 7.5

x = 10 - 7.5

x = 2.5 feet

Learn more:

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7 0

2 years ago

Q. A customer wants to re-carpet a living room andhallway. You charge $5.99 per square yard toremove old carpet and $4.50 per sq

Tanzania [10]

Living Room Area = 17.5 x 20 = 350 sq ft

Hall Area = 4 x 12 = 48 sq. ft.

Total area of carpeting: 340 + 48 = 398 sq. ft.

We need to convert total area in sq ft to sq yd. The conversion ratio is

1 sq ft = 0.11 sq yd

So, 398 sq ft would be:

398 * 0.11 = 44.22 sq yd.

Carpet removing rate is 5.99 per sq yd.

Removing rate would be:

44.22 * 5.99 = $264.88

Assuming you gotta install both carpet and pad,

Carpet + pad = 16.99 + 3 = 19.99 per sq yd.

You gotta buy for 44.22 sq yd.

So, it will cost (carpet):

44.22 * 19.99 = $883.96

Installing rate 4.50 per sq yrd, so to carpet 44.22 sq yd, would need:

4.50*44.22 = $198.99

Assuming carpet is provided by installation guys, total charge:

4 0

1 year ago

(-8)–(-13)? Answer plz

Mademuasel [1]

Answer:

Step-by-step explanation:

(-8)-(-13)= 5

8 0

2 years ago

Read 2 more answers