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4 years ago

If f(x) = -3x + 4, find f(3x + 3)

Mathematics

2 answers:

Alex17521 [72]4 years ago

8 0

Remark

What this is telling you to do is put 3x + 3 in the question wherever there was an x to start with.

Solution

f(x) = -3x + 4

f(3x + 3) = - 3(3x + 3) + 4

f(3x + 3) = -3*3x + (-3)*(3) + 4

f(3x + 3) = - 9x - 9 + 4

f(3x + 3) = -9x - 5 <<<<< Answer

FromTheMoon [43]4 years ago

3 0

Hey there!!

f ( x ) = -3x + 4

Find f ( 3x + 3 )

In order to solve this, we will need to substitute 3x + 3 instead of x

...f ( 3x + 3 ) = - 3 ( 3x + 3 ) + 4

...f ( 3x + 3 ) = -9x - 9 + 4

...f ( 3x + 3 ) = -9x - 5

Hence, the answer is -9x - 5

Hope my answer helps!!

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A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

Someone please help me!!! I’m stuck and need help!

denpristay [2]

Answer:

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

$\frac{6}{8}$

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

$\frac{3}{4} x + x = 21$

$1.75x = 21$

x=12.

Side ST is 12

6 0

3 years ago