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Lady bird [3.3K]
3 years ago
12

The most efficient first step in the process to factor the trinomial 4x^3-20x^2+24x

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
Factor out 4x <=====
You might be interested in
Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three ti
velikii [3]
X = number of dimes 
x + 2 = number of nickels
3(x + 2) = number of pennies 

10x + 5(x + 2) + 3(x + 2) = 52
10x + 5x + 10 + 3x + 6 = 52
18x = 36
x = 2

x = 2 (number of dimes)
x + 2 = 4 (number of nickels)
3(x + 2) = 12 (number of pennies)

Check:
2(10) = 20 cents in dimes
4(5) = 20 cents in nickels
12(1) = 12 cents in pennies
Total = 52 cents 
7 0
4 years ago
Read 2 more answers
Write the equation of the line parallel to 3x-y=7 that passes through point (-5, -3)
IceJOKER [234]
<h2>Answer:</h2>

\boxed{y=3x+12}

<h2>Step-by-step explanation:</h2>

In this problem we know the equation of a line, which is:

3x-y=7

We also can write this equation as:

y=3x-7

This line has a slope m=3 which is also the slope of the line we are looking for because they're parallel. We also have a point (-5,-3). Therefore, we can write this equation as follows:

y-y_{0}=m(x-x_{0}) \\ \\ y-(-3)=3(x-(-5)) \\ \\ y+3=3(x+5) \\ \\ y+3=3x+15 \\ \\ \boxed{y=3x+12}

From the figures below, the line in red is 3x-y=7 while the line in blue is y=3x+12 and this line passes through the point (-5, -3)!

4 0
3 years ago
Read 2 more answers
5^-x +7=2x+4 solution
vodomira [7]

Simplifying

5x + 7 = 2x + 4

Reorder the terms:

7 + 5x = 2x + 4

Reorder the terms:

7 + 5x = 4 + 2x

Solving

7 + 5x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

7 + 5x + -2x = 4 + 2x + -2x

Combine like terms: 5x + -2x = 3x

7 + 3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0

7 + 3x = 4 + 0

7 + 3x = 4

Add '-7' to each side of the equation.

7 + -7 + 3x = 4 + -7

Combine like terms: 7 + -7 = 0

0 + 3x = 4 + -7

3x = 4 + -7

Combine like terms: 4 + -7 = -3

3x = -3

Divide each side by '3'.

x = -1

Simplifying

x = -1

4 0
3 years ago
6. The measures of two acute angles always add to more than 90 degrees.
bezimeni [28]
I dont think so because an acute angle is always lower than 90 so .. i dnt think even two will add up more than 90
4 0
3 years ago
Consider the triangles shown. If mUTV &lt; mUTS &lt; mSTR, which statement is true?
Tresset [83]

Answer:

The true statement is UV < US < SR ⇒ 1st statement

Step-by-step explanation:

"I have added screenshot of the complete question as well as the

diagram"

* <u><em>Lets revise the hinge theorem</em></u>

- If two sides of one triangle are congruent to two sides of another

 triangle, and the measure of the included angle between these two

 sides of the first triangle is greater than the measure of the included

 angle of the second triangle then the length of the third side of the

 first triangle is longer than the length of the third side of the second

 triangle

* <em>Lets solve the problem</em>

- The figure has three triangles have a common vertex T

- m∠UTV < m∠UTS < m∠STR

- <u><em>From the hinge theorem above</em></u>

∵ The side opposite to ∠UTV is VU

∵ The side opposite to ∠UTS is US

∵ The side opposite to ∠STR is SR

∵ m∠UTV < m∠UTS < m∠STR

∴ UV < US < SR

* The true statement is UV < US < SR

5 0
3 years ago
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