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3 years ago

Factor completely 14bx2 − 7x3 − 4b + 2x.

Mathematics

2 answers:

choli [55]3 years ago

8 0

Hello,

14bx²-7x^3-4b+2x= -7x^3+14bx²+2x-4b
=-7x²(x-2)+2(x-2b)
=(x-2b)(-7x²+2)
=(2b-x)(7x²-2)

answer 2

Virty [35]3 years ago

5 0

Answer:

$(2b-x)(7x^2-2)$

Step-by-step explanation:

We have to factor the expression $14bx^2-7x^3-4b+2x$

We apply the method of grouping to factor it.

Make groups

$(14bx^2-7x^3)+(-4b+2x)$

Take GCF

$7x^2(2b-x)-2(2b+x)$

Finally, factored out the common factor

$(2b-x)(7x^2-2)$

The factored form of the given expression is

$(2b-x)(7x^2-2)$

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The figure of a right angle triangle.

To find:

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Solution:

in a right angle triangle,

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$\dfrac{\sqrt{3}}{2}=\dfrac{6}{y}$

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Therefore, the value of y is $4\sqrt{3}$ units.

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3 years ago

Add 15 3/5 and 21 4/5 as a mixed number please help

Reptile [31]

Answer:

15(5)+3=78

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Step-by-step explanation:

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3 years ago

A solution of ibuprofen contains 150g in 800ml. What is the percent strength of this solution?

Sliva [168]

Answer:

18.75 percent

Step-by-step explanation:

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2 years ago

Which equation is true about the measure of the angles of the triangle?the measure of angle prq is equal to 100 degreesthe measu

harkovskaia [24]

I believe this question is missing an image. However, I will just tell how how to solve such question and you can apply this solution to the triangle you have.

In any given triangle, the sum of the measure of the three angles must be equal to 180 degrees.
Therefore, for a triangle pqr:
measure angle pqr + measure angle prq + measure angle rqp = 180 degrees

If you have one angle given, then the sum of the other two angles will be equal to 180 - measure of the given angle.

If you have two angles given, then the measure of the third angle will be equal to 180 - the sum of the other two angles.

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3 years ago

Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area a

ASHA 777 [7]

Answer:

Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile

Company (2) is $7.4 cheaper.

Step-by-step explanation:

From the tables given in the picture,

Let the equation representing the rental 'y' and distance traveled 'x' is represented by,

y = mx + b

For company (1),

Here m = per mile rental charges = Slope of the graph

b = Initial charges

Since slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

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

Therefore, slope of the line passing through (30, 53.55) and (60, 87.15) will be,

m = $\frac{87.15-53.55}{60-30}$ = $1.12 per mile

So the equation will be,

y = 1.12x + b

Since this line passes through (30, 53.55),

53.55 = 1.12(30) + b

b = 53.55 - 33.6

b = 19.95

So the expression representing charges for the company (1) will be,

y = 1.12x + 19.95

For company (2),

Per mile charges = slope of the line

m = $\frac{78-56.75}{50-25}$

m = $0.85 per mile

Equation for the charges will be,

y = 0.85x + b

Since this line passes through (25, 56.75),

56.75 = 0.85(25) + b

b = 56.75 - 21.25

b = 35.5

Therefore, equation representing total charges for company (2) will be,

y = 0.85x + 35.5

By comparing per mile charges,

Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile

Steven plans to drive 85 km in rental truck.

Charges for company (1),

y = 1.12x + 19.95

y = 1.12(85) + 19.95

y = $115.15

Charges for company (2),

y = 0.85x + 35.5

y = 0.85(85) + 35.5

y = $107.75

Difference in charges of both the companies = 115.15 - 107.75 = $7.4

Therefore, company (2) is $7.4 cheaper.

6 0

3 years ago