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harkovskaia [24]

3 years ago

8

Factor 3x^2-20x-7.

1 answer:

cestrela7 [59]3 years ago

3 0

Hi,

Without discriminant:

$3x^2-20x-7\\\\ =3(x^2-\dfrac{2*10}{3} )-7\\\\ =3(x^2-\dfrac{2*10}{3}+\dfrac{100}{9} )-\dfrac{100}{3}-7\\\\ =3(x-\dfrac{10}{3})^2-\dfrac{121}{3}\\\\ =\sqrt{3}[(x-\dfrac{10}{3})+\dfrac{11}{3}]*\sqrt{3}[(x-\dfrac{10}{3})-\dfrac{11}{3}]\\\\ =3(x+\frac{1}{3})(x-\dfrac{21}{3})\\\\ =(3x+1)(x-7)$

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8 numbers have a sum of 90. Whats the average number?

ehidna [41]

Answer:

$\huge\boxed{11.25}$

Step-by-step explanation:

When finding the average of a set of numbers, we

A) Add up all the numbers
B) Divide that sum by the total number of numbers in the data set

Let's represent this with a formula, s being the sum of all numbers, n being the total number of numbers.

$\frac{s}{n}$

Since we <u>already know the sum</u> and we <u>know how many numbers there are</u> (8), we can substitute inside our expression $\frac{s}{n}$ to find the average.

$\frac{90}{8}$
$11.25$

Therefore, the average of all these numbers is 11.25.

Hope this helped!

4 0

3 years ago

5 multiplied by what= -1?

nadya68 [22]

-1/5 multiplied by 5 =-1

6 0

3 years ago

Y=x+2<br> Y=x-1<br> How many solutions does the system of equations have

Mkey [24]

Answer:

the system has no solutions

Step-by-step explanation:

substract both equations and the result will be:

y - y = x - x + 2 + 1

0 = 3 is incompatible, so, no solution

6 0

3 years ago

In triangle HJK shown above what is the measure of ∠J in degrees

ludmilkaskok [199]

Angles in a triangle adds up to 180

180 - (25.5 +120.2) = 34.3

So, missing angle is 34.3 degrees

Hope this helps!

4 0

3 years ago

Math problem+Zoey, a Gelada Baboon, is tied to one of the outside corners of a regular hexagon-shaped research facility, where h

dexar [7]

Answer

The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.

Step-by-step explanation:

The length of the monkeys rope = 75 feet long

Each side of the hexagon shaped facility = 30 feet

Note that, 1 feet = 0.3048 m

if we convert 30 feet to Meter, we have,

30 × 0.3048 = 9.144

Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building

75 feet × 0.304 meter = 22.86 meters.

So the total area the monkey will be able to cover will be

= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.

8 0

3 years ago