All categories

3 years ago

Factor the trinomial or state that it is prime 4y²+54y-90

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

$4y^2+54y-90=\\
2(2y^2+27y-45)=\\
2(2y^2+30y-3y-45)=\\
2(2y(y+15)-3(y+15))=\\
2(2y-3)(y+15)$

castortr0y [4]3 years ago

4 0

4y²+54y-90
= 2(2y²+27y-45)
= 2(2y-3)(y+15) <- this is the final answer. :)

You might be interested in

A jar contains 10 marbles marked with the numbers 1 through 10. You pick a marble at random. What is the probability of not pick

mr_godi [17]

Answer:

9/10

Step-by-step explanation:

Since there is only one marble per number and there is only one marble for the number 8 you would take just subtract 10-1 which would give you 9.

5 0

2 years ago

Factor the Expression and choose the correct answer from the choices below.

pentagon [3]

The answer is (5p+6q)(5p-6q)
Steps:
Apply difference of the squares rule: x^2-y^2=(x+y)(x-y)
25p^2-36q^2=(5p+6q)(5p-6q)

Hope this helps you! (:
-PsychoChicken4040

3 0

3 years ago

Can 13 be partitioned in groups of 3

Gennadij [26K]

Answer:

Step-by-step explanation:

in less you want a un proportional number

7 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago

(Free points) Factorise x³ + 216y³ + 8z³ - 36xyz

Nadusha1986 [10]

Answer:

[x+6y+2z][x²+(6y)²+(2z)²-6xy-12yz-2xz]

Step-by-step explanation:

x³+216y³+8z³-36xyz

x³+(6y)³+(2z)³-3×6×2×xyz

As we know

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

Let a=x

b=6y

c=2z

Now.

[x+6y+2z][(x²+(6y)²+(2z)²-x×6y-6y×2z-x×2z]

[x+6y+2z][x²+(6y)²+(2z)²-6xy-12yz-2xz]

3 0

3 years ago

Read 2 more answers