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julia-pushkina [17]
4 years ago
15

How do you factor this trinomial? :

Mathematics
1 answer:
Nezavi [6.7K]4 years ago
5 0
The pic is blurry, but looks like 18x²-21x-15
(3x-5)(6x+3) is the factored form. 
3 and 6 are the factors of 18
-5, 3 or -3, 5 are the factors of -15
I line them up like this
3   -5
6    3
then I multiple them diagonally: 3*3=9, -5*6=-30, the sum of 9 and -30 is exactly -21, the coefficient for x. (If the sum doesn't make -21, I'd switch -5 and 3, or change to -3 and 5 to try again.) 
so the factored form is (3x-5)(6x+3)


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The difference of 2 and the product of 3 and k
kupik [55]
I don't really understand what you are looking for but from what i understand, the answer would be 3k - 2
8 0
4 years ago
What is the arc length when theta=pie/3 and the radius is 5 cm
Jobisdone [24]

Answer:

Hey There!

Let's solve....

Radius=5cm

Angle = pi/3

Therefore arc length= Radius×angle

= 5 \times  \frac{\pi}{3} \\  \\  let \:  \pi \: be \: 3.14cm \: so \: \\  \\ 5 \times  \frac{3.14}{3}  \\  \\  =  \frac{15.70}{3}  \\  \\  = 5.23cm

The arc length is 5.23 cm when Theta=pi/ 3 and radius is 5 cm.

<h2>I hope it is helpful to you...</h2><h3>Cheers!_________</h3>
5 0
2 years ago
Two variables are defined, a regression equation is given, and one data point is given.
rusak2 [61]

Answer:

<em>Predicted height: 57.42 inches</em>

<em>Residual: 2.58 inches</em>

Step-by-step explanation:

<u>Regression Equation</u>

The regression equation for the height of the children (Hgt) and their age (Age) is given by the expression

Hgt = 24.3 + 2.76(Age)

We must compare the predicted value of the equation vs the real data point Age=12, Height=60

Computing the predicted height

Hgt = 24.3 + 2.76(12)

Hgt=57.42 inches

The residual is the difference between the real data point and the predicted value

R=60-57.42

R=2.58 inches

6 0
3 years ago
Please help!!!!!!!!!!!!
vladimir1956 [14]

Answer:

use a calculator

Step-by-step explanation:

7 0
2 years ago
An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars w
KATRIN_1 [288]

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

5 0
3 years ago
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