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3 years ago

What is the factorization of 3x^2 – 8x + 5?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

5 0

Answer:

Step-by-step explanation

Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c

3*5=15

Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8

In this Case: - 3*-5=15 and - 3+(-5)= - 8

Step3:

You separate the equation in terms of the two factors you have found

3x^2-3x-5x+5=0

Step 4:Factorise

3x(x-1)-5(x-1)=0

(3x-5)(x-1)=0

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How do you do this please help me

aleksandr82 [10.1K]

Use PEMDAS

first 36-4 = 32
7^2 = 49
(32/16) - 49 is your answer -47

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3 years ago

Find all complex solutions of 2x^2+3x+5=0 using the quadratic equation.

katrin2010 [14]

2x^2 + 3x + 5 = 0
a = 2 b = 3 and c = 5
x = [-b +-sq root(b^2 -4ac)] / 2a
x = [-3 +-sq root(9 -4*2*5)] / 4
x = [-3 +-sq root(9 - 40)] / 4
x = -(3 / 4) + sq root (-36) / 4
x = -(3 / 4) - sq root (-36) / 4

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3 years ago

Which reason justifies the last step in a proof that ∆DEF ≅ ∆DAB?

lesya [120]

Hey there, Sheriawilright!

The correct answer should be C since we are given two sides AD is congruent to ED and D is the midpoint of Line BF meaning that BD and BF are the same. Also, it makes both lines make a vertical angle meaning they are the same. So we have two sides and an angle between, so the answer is Side Angle Side.

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4 years ago

Write a slope-intercept equation for a line perpendicular to f(x) = −2x + 4 and

Fittoniya [83]

Answer:

$y = \frac{1}{2} x + 1$

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept

f(x)= -2x +4

Let's rewrite this function into an equation, in the slope-intercept form.

y= -2x +4

Slope= -2

The product of the slopes of perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(-2)= -1

m= ½

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -4, y= -1,

-1= ½(-4) +c

-1= -2 +c

c= -1 +2

c= 1

Thus, the equation of the line is y= ½x +1.

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3 years ago

How to solve 2.75 + .003+ .158

natita [175]

$2.75 + .003 + .158 \\ \\ 2.911 \\ \\ Answer: \fbox {2.911}$

This problem can be done using long addition.

8 0

3 years ago

Read 2 more answers