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4 years ago

What equation do you get when you solve ax+bc=c for x

Mathematics

2 answers:

OLEGan [10]4 years ago

6 0

Answer:

x = (−bc + c )/a

Step-by-step explanation:

Step 1:

ax + bc + −bc = c + −bc

ax = −bc + c

Step 2:

ax/a = (-bc + c)/a

x = (−bc + c )/a

Dmitriy789 [7]4 years ago

3 0

Answer:

x = bc - c/a

Step-by-step explanation:

ax = bc - c

x = bc - c/a

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What is the simplified form of the expression 7[63÷(5^2-2^2)-1]?

Oksanka [162]

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3 years ago

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Explain your answer !! Have a nice day Will give braisnlt

SashulF [63]

Answer:

The equations are:

$4H + 3P = 13.75$

$2H + 5P = 11.25$

$Hotdog = 2.50$

$Pretzel = 1.25$

Step-by-step explanation:

Let:

$H = hot\ dog$

$P =Pretzel$

For Tina:

$4H + 3P = 13.75$

For Doug:

$2H + 5P = 11.25$

Solving for the price of both items:

We have:

$4H + 3P = 13.75$ --- (1)

$2H + 5P = 11.25$ --- (2)

Multiply (2) by 2

2 * ( $2H + 5P = 11.25$ )

-------------------

$4H + 10P = 22.50$ --- (3)

Subtract (3) from (1)

$4H + 3P = 13.75$

$4H + 10P = 22.50$

----------------------

$4H - 4H + 3P - 10P = 13.75 - 22.50$

$3P - 10P = 13.75 - 22.50$

$-7P = -8.75$

Solve for P

$P = \frac{-8.75}{-7}$

$P = 1.25$

Substitute 1.25 for P in (2)

$2H + 5P = 11.25$

$2H + 5 * 1.25 = 11.25$

$2H + 6.25 = 11.25$

Collect Like Terms

$2H = 11.25-6.25$

$2H = 5$

Solve for H

$H = \frac{5}{2}$

$H = 2.50$

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3 years ago

Help please ;-; The values in the table represent a linear function.

Fittoniya [83]

Answer:

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

Step-by-step explanation:

The slope-intercept form of a function is given as:

$y = mx+b$

Here

m is the rate of change of function and b is the y-intercept

The rate of change is calculated as:

$m = \frac{difference\ in\ y}{difference\ in\ x}$

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

$m=\frac{2-1}{-1+3}\\=\frac{1}{2}$

Putting the value of slope in slope-intercept form

$y = \frac{1}{2}x+b$

Putting (1,-3) in the equation

$-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}$

Putting the value of b

$y = \frac{1}{2}x-\frac{7}{2}$

Hence,

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

4 0

3 years ago

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Gelneren [198K]

Answer:

B. y² – 5y = 750

C. 750 – y(y – 5) = 0

E. (y + 25)(y – 30) = 0

I'm assuming the 2 in the second option is supposed to be an exponent.

Step-by-step explanation:

Length = y

Width = y-5

Length × Width = Area

Area = y(y-5) = 750

Distribute.

y²-5y=750 (B is correct)

If you factor the equation above

(y + 25)(y – 30) = 0 (E is correct)

Area = y(y-5) = 750

Subtract y(y-5) from both sides.

750-y(y-5) = 0 (C is correct)

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3 years ago