All categories

4 years ago

Without using Desmos what is the complete factorization of 5x^2-20? Please show work , please help

Mathematics

1 answer:

Simora [160]4 years ago

3 0

Answer:

$5(x+2)(x-2)$

Step-by-step explanation:

Find the greatest common factor (GCF) of the 2 terms:

GCF is 5.

Factor out the GCF:

$5x^2-20\\5(\frac{5x^2}{5} -\frac{20}{5} )\\5(x^2-4)$

Rewrite as a difference of squares ( $a^2-b^2=(a+b)(a-b)$ ):

$5(x^2-2^2)\\5(x+2)(x-2)$

You might be interested in

Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double

Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

$\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n$ (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

$k'=k+0.16 = 1.16k$ (2)

While the nephew's height is doubled:

$n'=2n$ (3)

We also know that Keith is now 34 cm taller than his nephew, so

$k'=n'+34$ (4)

Substituting (2) and (3) into (4), we get

$1.16k=2n+34$

And substituting (1),

$1.16\cdot \frac{15}{7}n=2n+34$

Solving for n,

$2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4$

So the current height of the nephew is:

$n'=2n=2(69.4)=138.8 cm$

While Keith's current height is

$k'=138.8+34=172.8 cm$

So their total current height is

$k'+n'=172.8+138.8=311.6 cm$

8 0

4 years ago

Please can you answer It is due very soooooonn Will mark brainiest

Assoli18 [71]

Answer:

Mean of a grouped data is

Sum of F x/ sum of frequency F

Sum of F = 5 + 15 + 13 + 10 + 7 = 50

to find x find the average of the two classes

That's

0 + 10/2 = 10/2 = 5

10+20/2 = 15

20 + 30 / 2 = 25

30+40 /2 = 35

40+ 50 / 2 = 45

Therefore sum of Fx = 5(5) + 15(15) + 13(25) + 10(35) + 7(45)

= 1240

Therefore

Mean = 1240/50

= 24.8cm

I hope this helps you

4 0

3 years ago

כ שדורש Cוטו LTULIUועי . f(x) = 9(7)*

Novosadov [1.4K]

Answer:

Step-by-step explanation:

6 0

3 years ago

The distance on a bike path between Westfield and Southborough is 46 mi. Tracey leaves Westfield heading to Southborough cycling

ipn [44]

Answer: 2 hr.

Explanation: Think back to rate of change. d = rt, r = d/t, t = d/r. In this case, we will be using d = rt. Mph would be r, rate, so you would categorize 15 mph and 8 mph under rate. t should represent the time each cyclist traveled. Tracey's and Emma's distance, d, would be the same as their mph, hence Tracey's being 15t and Emma's would be 8t. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15t + 8t = 46. Add 15 and 8 to get 23, so it should be 23t = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, t = 2 hr.

8 0

4 years ago

Read 2 more answers

the length of a rectangular patio is 7 feet more than its width, w The area of the patio A(w),can be represented by the function

lesya692 [45]

The area of the patio A(w), can be represented by the function that will be A(w) = w² + 7w.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

The length of a rectangular patio is 7 feet more than its width (w).

The area of the patio A(w),can be represented by the function

Length (L) = w + 7

Then the area will be

A(w) = (w + 7)w

A(w) = w² + 7w

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

8 0

2 years ago