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3 years ago

Find the factors of 9q²-45pq+8q-40p

Mathematics

1 answer:

Elina [12.6K]3 years ago

5 0

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

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A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. Wh

evablogger [386]

Answer:

Jim's current weight = 119 pounds

Step-by-step explanation:

1 Stone = 14 pounds

$1\frac{1}{2}$ stone = 1.5 stone

1.5 stone = 1.5 (14 pounds) = 21 pounds

Jim lost 21 pounds

Let X be Jim's Original Weight

Y be his present weight

As per given statement in the Question:

After losing 1.5 stones (21 pounds of weight) Jim now weighs Y

Present weight = original weight - 21

Y = X -21 Equation 1

Also Current Weight = 85 % (Original weight)

Y = 85 % (X) = $\frac{85X}{100}$

Y= $\frac{85X}{100}$

put in Equation 1

$\frac{85X}{100}$ = X-21

85X = (X-21) 100

85 X = 100 X -2100

2100 = 100 X - 85X

2100 = 15X

15 X = 2100

$X=\frac{2100}{15}$

X= 140 pounds ( Original Weight)

Current Weight = Y = Original weight - 21 (From Equation 1)

Y = X -21

Y = 140 -21

Y = 119 pounds (Current Weight)

5 0

3 years ago

Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for th

kykrilka [37]

Answer:

A. $46,650

Step-by-step explanation:

Taking the first number of $50,150, we have to subtract his expenses. After subtracting Leroy's expenses, we get $46,650.

50150

- 3500

46650

7 0

3 years ago

Read 2 more answers

Look at the graph shown Which equation best represents the line?

Brilliant_brown [7]

$y=\frac{11}{4}x +4$ is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

$x_1=0,y_1=-4,x_2=4, y_2=7$

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

y-intercept is the point which line crosses at y-axis.

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{7-(-4)}{4-0}$

$$m=\frac{11}{4}$

Equation of the line:

y = mx + c

$y=\frac{11}{4}x +4$

Hence $y=\frac{11}{4}x +4$ is the equation best represents the line.

5 0

3 years ago

Factor completely: 12a^2b–18ab^2–30ab^3

Goryan [66]

Answer:

6ab(2a-3b-5b²)

Step-by-step explanation:

6(2a²b-3ab²-5ab³)

6a(2ab-3b²-5b³)

6ab(2a-3b-5b²)

7 0

3 years ago

3.102 x 10^3 in standard form

postnew [5]

Answer:

3102x

Step-by-step explanation:

6 0

3 years ago