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Butoxors [25]
3 years ago
10

HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2

Mathematics
2 answers:
natka813 [3]3 years ago
6 0

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x      )(x       )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

UkoKoshka [18]3 years ago
5 0

Answer:

\large \boxed{2(5x-4)(x+1)}

Step-by-step explanation:

10x^2 + 2x - 8

Rewrite 2x as 10x - 8x.

10x^2 + 10x-8x - 8

Factor out the two groups.

10x(x+1)-8(x+1)

Take x+1 as a common factor.

(10x-8)(x+1)

Factor 10x - 8.

2(5x-4)(x+1)

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.Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.Assume all prices listed include tax.She buys
Vitek1552 [10]

Answer:

Writing the inequality, we have;

420.56+32.43x\leq680

the solution to the inequality is;

x\leq8

Explanation:

Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.

Total spending must not exceed $680

\text{total spending }\leq680

She buys a new bicycle for $383.33.

• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.

She plans to spend some or all of the money she has left to buy new biking outfits

for $32.43 each.

let x represent the number of biking outfits she can buy.

Total spending is;

\begin{gathered} 383.33+2(7.61)+22.01+32.43(x) \\ 420.56+32.43x \end{gathered}

Writing the inequality, we have;

420.56+32.43x\leq680

we can now solve the inequality;

\begin{gathered} 420.56+32.43x\leq680 \\ \text{subtract 420.56 from both sides;} \\ 420.56-420.56+32.43x\leq680-420.56 \\ 32.43x\leq259.44 \\ \text{divide both sides by 32.43} \\ \frac{32.43x}{32.43}\leq\frac{259.44}{32.43} \\ x\leq8 \end{gathered}

Therefore, the solution to the inequality is;

x\leq8

6 0
2 years ago
Plz answer what is the x interster
Ira Lisetskai [31]

Answer:

Y intercept (0,2)

X intercept (3, 0)

Step-by-step explanation:

The y intercept is the value when x = 0 (or where it crosses the y axis)

Y intercept (0,2)

The x intercept is when y =0 ( or where it crosses the x axis)

X intercept (3, 0)

6 0
3 years ago
A school knows that 10% of its students are left-handed. What is the
Agata [3.3K]

Answer: c did on a p e x

Step-by-step explanation:

4 0
3 years ago
What is the slope? helpppp?
EleoNora [17]

Answer:

slope: -(9/8)

y-intercept: 7

equation: y = -(9/8)x + 7

Step-by-step explanation:

Solve for the slope.

<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (8 , -2)

(x₂ , y₂) = (0 , 7)

Plug in the corresponding numbers to the corresponding variables:

<em>m </em>= (7 - (-2))/(0 - 8)

<em>m</em> = (7 + 2)/(0 - 8)

<em>m</em> = 9/-8

Your slope is -(9/8)

Solve for the y-intercept. Plug in your slope into the slope intercept form:

y = mx + b

Let:

(x , y) = (0 , 7) & m = -(9/8)

Plug in the corresponding numbers to the corresponding variables:

7 = -(9/8)(0) + b

Simplify:

7 = (-9/8 * 0) + b

7 = (0) + b

b = 7

Your y-intercept is 7.

~

7 0
3 years ago
4.4: Measuring a Picture Frame
BlackZzzverrR [31]
It’s simple, do: 8+8+10+10, just add them you will get 36. The explanation is: Perimeter is add up all the sides, since it is a rectangle it has congruent sides, so they have the same length
5 0
3 years ago
Read 2 more answers
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