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3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Hello.

Firstly, let's isolate x on the equation:

$\mathsf{f(x) = 3x + 3} \\ \\ \mathsf{y = 3x + 3} \\ \\ \mathsf{-3x = -y + 3} \\ \\ \mathsf{x = \dfrac{-y + 3}{3}}$

Now, we can replace 'x' for 'y' and vice-versa:

$\mathsf{f^{-1}(x) = \frac{-x + 3}{3}`}$

Hope I helped.

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5y + (86 - y) = 86 + 4y

Viefleur [7K]

Answer:

All real values, (-∞, ∞)

Step-by-step explanation:

Step 1: Distribute

5y + (86 - y) = 86 + 4y

5y + 86 - y = 86 + 4y

Step 2: Combine like terms

5y + 86 - y = 86 + 4y

4y + 86 = 86 + 4y

Step 3: Subtract 4y from both sides

4y + 86 - 4y = 86 + 4y - 4y

86 = 86

Step 4: Subtract 86 from both sides

0 = 0

Answer: All real values, (-∞, ∞)

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3 years ago

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Pablo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Pablo $5.50 per pound, and type

alexandr402 [8]

Answer:

We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that

A+B=153.

But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So

5.5A+4.3B = 756.30

Now we have two equations:

A+B = 153

5.5A + 4.3B = 756.30

We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have

A+B = 153

550A + 430 B = 75630

Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have

550A + 550B = 84150

550A + 430B = 75630

Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain

120B = 8520

Now divide by 120 into both sides to solve for B, we get

B= 8520/120 = 71

So Pablo used 71lbs of blend B.

Step-by-step explanation:

Hope this helps you!!!!! :D

8 0

3 years ago

On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct ans

alexgriva [62]

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

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3 years ago

Which line has a slope of -5/8 and goes through the point (2,-3)

Kamila [148]

Answer: y = -5x/3 - 7/4

Step-by-step explanation:

The equation of a line in slope and point form is given as

y - $y_{1}$ = m(x - $x_{1}$ )

where m is the slope

$x_{1}$ = 2

$y_{1}$ = -3

m = -5/8

Substituting into the formula , we have

y - ( -3 ) = -5/8 ( x - 2 )

y + 3 = -5x/8 + 5/4

This could also be written in slope - intercept form , that means we will make y the subject of the formula

y = -5x/8 + 5/4 - 3

y = -5x/3 - 7/4

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4 years ago

8 - 26r = 892. Solve for r.

marishachu [46]

R = -34

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3 years ago

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