All categories

2 years ago

8x - 3x + 2 - x = ax + b solve for b

Mathematics

1 answer:

kkurt [141]2 years ago

8 0

Answer:

b = -ax + 4x + 2

Step-by-step explanation:

8x - 3x + 2 - x = ax + b

~Combine like terms

4x + 2 = ax + b

~Subtract ax to both sides

4x - ax + 2 = b

~Rewrite

b = -ax + 4x + 2

Best of Luck!

You might be interested in

ryan spends 10 1/2 hours at work each day. he has a 3/4 hour lunch and receives two 1/4 hour breaks. how much time does ryan spe

SIZIF [17.4K]

Ryan only work for 9 1/4 hour everyday because he takes 1 1/4 hour of break so you minus the from the total and get the sum of 9 1/4

5 0

3 years ago

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Can anyone answer this PLSSSSSSS I NEED IT!!!

Nady [450]

Answer:

Step-by-step explanation:

5 0

3 years ago

Simplify: 6 + √27 / 3

Ray Of Light [21]

Answer:

6 + √27 / 3

6+ (3√3/3)

6+√3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Evaluate tan 11 pi/6

Nadusha1986 [10]

Answer:

tan 11 pi dived by 6 is equal to -118.307586549

4 0

3 years ago