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3 years ago

How do I factorize y= x³-4x²+3x ?

1 answer:

3 0

Y=x(x-3)(x-1) first you factor out the x to get x(x^2-4x+3) then you can factor either with using the quadratic formula or just knowing how to factor

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What is the answer to this?

Trava [24]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

$2r=4\ in\to r=2\ in\\\\H=8\ in$

Substitute:

$V_1=\pi(2^2)(8)=\pi(4)(8)=32\pi\ in^3$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

We have

$r=2\ in\\\\H=0.7\ in$

Substitute:

$V_2=\dfrac{1}{3}\pi(2^2)(0.7)=\dfrac{1}{3}\pi(4)(0.7)=\dfrac{1}{3}\pi(2.8)=\dfrac{2.8\pi}{3}=\dfrac{28\pi}{30}=\dfrac{14\pi}{15}\ in^3$

The volume of the plastic object:

$V=V_1-V_2$

$V=32\pi-\dfrac{14\pi}{15}=\dfrac{480\pi}{15}-\dfrac{14\pi}{15}=\dfrac{466\pi}{15}\\\\\pi\approx3.141\\\\V\approx\dfrac{466}{15}\cdot3.141\approx97.6$

7 0

2 years ago

Does this triangle have a hypotenuse about 39 feet long

SVETLANKA909090 [29]

Answer:

hypotenuse is about 33 ft long

Step-by-step explanation:

a^2+b^2=c^2

a= 30

b=14

30^2+14^2= 1096 =c^2

$\sqrt{1096}$ =c

33.1=c

hypotenuse is about 33 ft long

6 0

2 years ago

Read 2 more answers

8 x 6 = 8 x(5 + [] ) = (8 x 5) + (8 x [] ) = 40 + [] = []

melisa1 [442]

Answer:

Step-by-step explanation:

5 0

3 years ago

It is believed that the SAT scores for students entering two state universities may have different standard deviations. Specific

Eva8 [605]

Answer:

The critical value of F is 3.55.

Step-by-step explanation:

The claim to be test is, the SAT scores for students entering two state universities may have different standard deviations. It is believed that the standard deviation at University A is greater than the standard deviation at University B.

The hypothesis for the test can be defined as:

H₀: The standard deviations are same, i.e. σ₁ = σ₂

Hₐ: The standard deviations are different, i.e. σ₁ > σ₂.

A F-test will be used to perform the hypothesis test.

The F-statistic is given by:

$F=\frac{S_{1}^{2}}{S_{2}^{2}}\sim F_{\alpha/2, (n_{1}-1),(n_{2}-1)$

The information provided is:

University A University B

Sample mean 1104 1254

Sample Standard Deviation 134 108

Sample size 14 8

Compute the critical value of F using MS-Excel as follows:

The degrees of freedom are:

df₁ = n₁ - 1 = 14 - 1 = 13

df₂ = n₂ - 1 = 8 - 1 = 7

Step 1:

Open function → F.INV.RT

A dialog box will open.

Step 2:

Enter the details as shown in the image below. Press OK

Thus, the critical value of F is 3.55.

3 0

3 years ago

Monica has 24 packs of fruit snacks. She wants to put 3 packs in each bowl. Write a multiplication sentence that Monica can use

dolphi86 [110]

Answer:

Step-by-step explanation:

24/3=8

3 times 8 equals 24

7 0

3 years ago