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DanielleElmas [232]
3 years ago
14

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

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SIZIF [17.4K]

Angle <QAB is =15° because the opposite angles of an isosceles triangle are equal.

The length of the straight line AB = 80cm

<h3>Calculation of angle of a triangle</h3>

The angle at a point = 360°

Angle AQB= 360 - 210° = 150

But the angle that makes up a triangle= 180°

180-150= 30°

But <QAB = <QBA because triangle AQB is an isosceles triangle.

30/2 = 15°

To calculate the length of the straight line the following is carried out using the sine laws.

a/ sina, = b sinb

a= 8cm, sin a { sin 15)

b= ? , sin B = 150

make b the subject formula;

8/sin15= b/sin 150

b= 8 × sin 150/sin 15

b= 80cm

Learn more about isosceles triangle here:

brainly.com/question/25812711

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7 0
2 years ago
In the equation above,a,b, and c are constants. If the equation is true for all values of x, what is the value of b?
DIA [1.3K]
Hope this answer helps.

6 0
3 years ago
Read 2 more answers
Halp?
____ [38]

The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.

First, substitute the known values into the equation:

l = 8.5

w = 6

h = 10.5

V = (8.5)(6)(10.5)

<em>(Note: .5 = 1/2)</em>

Now, all we need to do is simplify:

V = 535.5 ft³ OR 535 1/2 ft³

<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>

You can pick whichever form your test directs you to use. They are both the same value though.

Hope this helps!

7 0
3 years ago
Hello please help i’ll give brainliest
Ivenika [448]

Answer:

Step-by-step explanation:

Dot plot

8 0
3 years ago
Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, wit
horsena [70]

Answer:

System utilization = 0.7 or 70%

Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate = \dfrac{60}{2.8} customer/Hour

Now, use the below formula to find the system utilization.

System utilization = \dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}

System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

System utilization = 0.7 or 70%

5 0
3 years ago
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