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3 years ago

What is b + 3 (b - 2) = 2

Mathematics

2 answers:

Lunna [17]3 years ago

4 0

Answer:

b=2

Step-by-step explanation:

b+3b - 6 =2

4b=8

b=2

Have a good day

olga_2 [115]3 years ago

4 0

Answer:

b=2

Step-by-step explanation:

Let's solve your equation step-by-step.

b+3(b−2)=2

Step 1: Simplify both sides of the equation.

b+3(b−2)=2

b+(3)(b)+(3)(−2)=2(Distribute)

b+3b+−6=2

(b+3b)+(−6)=2(Combine Like Terms)

4b+−6=2

4b−6=2

Step 2: Add 6 to both sides.

4b−6+6=2+6

4b=8

Step 3: Divide both sides by 4.

b=2

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photoshop1234 [79]

Answer:

9.6x10^3

Step-by-step explanation:

9,600

find the highest number

9,600

bring the decimal to that number

9.600

count how many spaces it took to get to that number

9.600

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so its 10 to the third power

7 0

3 years ago

2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the li

Nostrana [21]

Answer: y = 2x+22

========================================================

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

7 0

3 years ago

On a certain route, an airline carries 8000 passengers per month, each paying $70.A market survey indicates that for each $1

son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

3 0

3 years ago

Here are two rectangles.

creativ13 [48]

Answer:

$\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}$

Step-by-step explanation:

Let the length of rectangle A be x units.

So, length of rectangle B

= x + 25% of x

= x + 0.25x

= 1.25x

Let the width of rectangle A be y units

So, Width of rectangle B

$= \frac{3}{5}\times x\\=0.6x$

Area of rectangle A = xy

Area of rectangle B

= 1.25x * 0.6y

= 0.75xy

$\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{xy}{0.75xy}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{1}{0.75}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{100}{75}\\\\\red{\bold{\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}}} \\\\$

8 0

3 years ago

8/15 multiplied by 5/6

weeeeeb [17]

To multiply two fractions, we multiply the top number (numerators) together and the bottom numbers together (denominators) and then simplify.

8 x 5 = 40
15 x 6 = 90

40/90 can be simplified (÷10) to 4/9

5 0

3 years ago

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