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3 years ago

Which of the following represents the factorization of the trinomial below?

Mathematics

2 answers:

PolarNik [594]3 years ago

8 0

Answer: d

Step-by-step explanation:

This a trinomial so to find the factorization you need just to solve this equation :

x²-2x-48=0

a=1
b=-2
c=-48

Δ=(-2)²-4*1*(-48)=196
so our trinomial has 2 solutions :
$\left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.$

x=8 and y=-6

the factorisation is f(x)=a* (x-8)(x-(-6))

the answer is : (x+6) (x-8)

saw5 [17]3 years ago

3 0

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh

kicyunya [14]

Answer:

The center is $\frac{1}{25}$ of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{5}{2}=2.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times{2.5}^2$

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{25}{2}=12.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times12.5^2$

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = $\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}$

Hence the center is $\frac{1}{25}$ of the whole target.

6 0

3 years ago

A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Ca

VLD [36.1K]

Answer:

The required probability is 0.1.

Step-by-step explanation:

red balls = 3

yellow balls = 2

blue balls = 5

Selected balls = 5

Number of elemnets in sample space = 10 C 5 = 1260

Ways to choose 1 red ball and 4 other colours = (3 C 1 ) x (7 C 4) = 105

Ways to choose 5 balls of other colours = 7 C 5 = 21

So, the probability is

$\frac{105}{1260} + \frac {21}{1260}\\\\\frac{126}{1260}=0.1$

8 0

3 years ago

Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to

yan [13]

Answer:

$78.65

Step-by-step explanation:

take 200-121.35=78.65

$78.65

5 0

3 years ago

Read 2 more answers

Simplify a^n*a^-n<br><br> Thank you! :)

irakobra [83]

Yy^2 I'm pretty sure is the answer!

6 0

3 years ago

Read 2 more answers

WHAT IS THE ANSWER FOR 12 1/3 + 8 3/4 +17 2/8 +23 2/3=

gulaghasi [49]

$12 \dfrac{1}{3} + 8 \dfrac{3}{4} +17 \dfrac{2}{8} +23 \dfrac{2}{3}$

Simplify
$= 12 \dfrac{1}{3} + 8 \dfrac{3}{4} +17 \dfrac{1}{4} +23 \dfrac{2}{3}$

Change the denominators to be the same
$= 12 \dfrac{1 \times 4}{3 \times 4} + 8 \dfrac{3 \times 3}{4 \times 3} +17 \dfrac{1 \times 3 }{4 \times 3} +23 \dfrac{2 \times 4}{3 \times 4}$

$= 12 \dfrac{4}{12} + 8 \dfrac{9}{12} +17 \dfrac{3 }{12} +23 \dfrac{8}{12}$

Combine into single fraction
$= 60 \dfrac{24}{12}$

$= 62$

6 0

2 years ago