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2 years ago

Use the x-intercept method to find all real solutions of the equation.x3-10x2=27x-18=0

Mathematics

1 answer:

g100num [7]2 years ago

3 0

x^3-10x^2=27x-18=0 has no solutions

x^3-10x^2-27x-18=0 has 3 solutions

x^3-10x^2-27x-18=0 also has three solutions

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Solve the rational equation. If an equation has no solution, so state. x+6/x=-7

kupik [55]

Answer:

x=−1 or x=−6

Step-by-step explanation:

Multiply all terms by x and cancel:

xx+6=−7x

x2+6=−7x(Simplify both sides of the equation)

x2+6−−7x=−7x−−7x(Subtract -7x from both sides)

x2+7x+6=0

(x+1)(x+6)=0(Factor left side of equation)

x+1=0 or x+6=0(Set factors equal to 0)

x=−1 or x=−6

Check answers. (Plug them in to make sure they work.)

x=−1(Works in original equation)

x=−6(Works in original equation)

Check out this website where i got my info. https://www.mathpapa.com/algebra-calculator.html

3 0

3 years ago

Pls help I hate math rectangular prism

nekit [7.7K]

Answer:

$352.5cm^{2}$

Step-by-step explanation:

$A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}$

8 0

2 years ago

Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens

LiRa [457]

Answer:

a. $V(x)=x(10-2x)(6-2x)$

b. $S(x)=4(15-x^2)$

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= $x(10-2x)(6-2x)$

$V(x)=x(10-2x)(6-2x)$

b.Surface area of box= $2(b+l)h+lb$

Because the box has no lid

Substitute the values in the formula

Surface area of box= $2(10-2x+6-2x)x+(10-2x)(6-2x)$

Surface area of box= $2(16-4x)x+60-20x-12x+4x^2$

Surface area of box= $32x-8x^2+60-32x+4x^2$

Surface area of box= $60-4x^2=4(15-x^2)$

Surface area of box, S(x)= $4(15-x^2)$

4 0

2 years ago

Im really stook does any one know 6÷3/5

IRISSAK [1]

Ok so if the 6÷3 does not have a bracket, then the answer would be:

6÷3/5 = 6 * 5/3 = 2 * 5 = 10

Hope this helps!

3 0

3 years ago

A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,0

CaHeK987 [17]

Answer:

1) No, there is not enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

$p_1=X_1/n_1=21/100000=0.0002$

The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

$p_2=X_2/n_2=30/100000=0.0003$

The difference between proportions is (p1-p2)=-0.0001.

$p_d=p_1-p_2=0.0002-0.0003=-0.0001$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26$

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=P(z$

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the vaccine was effective.

6 0

2 years ago