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zvonat [6]
3 years ago
14

Question 8 What is (4x - 5)(6x + 5) expressed as a trinomial?

Mathematics
2 answers:
erica [24]3 years ago
8 0

Answer:

24x^2 -10x - 25

Step-by-step explanation:

24x^2 + 20x - 30x - 25

24^2 -10x - 25

andrew-mc [135]3 years ago
3 0

Answer:

Simplifying

4x + -5 = 6x + 5

Reorder the terms:

-5 + 4x = 6x + 5

Reorder the terms:

-5 + 4x = 5 + 6x

Solving

-5 + 4x = 5 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-5 + 4x + -6x = 5 + 6x + -6x

Combine like terms: 4x + -6x = -2x

-5 + -2x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0

-5 + -2x = 5 + 0

-5 + -2x = 5

Add '5' to each side of the equation.

-5 + 5 + -2x = 5 + 5

Combine like terms: -5 + 5 = 0

0 + -2x = 5 + 5

-2x = 5 + 5

Combine like terms: 5 + 5 = 10

-2x = 10

Divide each side by '-2'.

x = -5

Simplifying

x = -5

Step-by-step explanation:

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A store that sells shoes buys them from a manufacturer at a wholesale price of $57. The store's markup rate is 50%. What price d
kogti [31]
The answer is $85.50

57 x 50% or 57 x .5 = 28.50

Add $28.50 to $57 and you get $85.50
4 0
3 years ago
Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
10 months ago
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
Read 2 more answers
A fair 6-sided die is rolled 10 times (each roll is independent). What is the probability that the rolled die will not show an e
Anestetic [448]

Answer:

1/1024.

Step-by-step explanation:

There are 3 odd numbers  in the numbers from 1 to 6. So:

Probability (one toss is odd) = 3/6 = 1/2.

So the Probability ( 10 tosses are all odd) = (1/2)^10

= 1/1024.

7 0
3 years ago
Classy the polynomial 5x^2+4x-2 by degree
bogdanovich [222]

5x^2+4x-2 This is a second degree polynomial since the largest exponent is x^2

5 0
3 years ago
Read 2 more answers
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