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Rufina [12.5K]
4 years ago
12

X^3+6x^2-9x-488 solve it by factoring

Mathematics
1 answer:
joja [24]4 years ago
8 0
X^3 + 6x^2 - 9x -488

Simplified, and in order by factor.
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Please help I will give out brainliest
uranmaximum [27]

Answer:

All the points change, there are no invariant points

Step-by-step explanation:

The given parameters are

To translate the square OABC by the vector  \dbinom{1}{3}, we have;

The coordinates of the point O is (0, 0)

The coordinates of the point A is (3, 0)

The coordinates of the point B is (3, 3)

The coordinates of the point C is (0. 3)

The translation is by moving 1 step right and three steps up to give;

O' is (0+1, 0+3) which is (1, 3)

A' is (3+1, 0+3) which is (4, 3)

B' is (3+1, 3+3) which gives (4, 6)

C' is (0+1, 3+3) which gives (1, 6)

As all the points change, there are no invariant points and the number of invariant points is zero.

3 0
3 years ago
OF bisects EOG. EOF = 5y + 10 and FOG = 6y + 3. Solve for y.
brilliants [131]
So the answer is : 5y + 10 = 6y + 3
                              
                        5y - 6y +10 = 3
                              
                                        -y= 3-10
                                          
                                        -y= -7 Now you are looking for y not -y so you have to multiply or divide both side by (-1). It will be :
                                
                                              (-1) -y = (-1) -7
                So:        
                                                     Y = 7 Final answer.




7 0
3 years ago
Read 2 more answers
What value of P makes the equation true?<br><br> 2.5 + 0.15p = 0.4p<br><br> p = ___
qwelly [4]

Step-by-step explanation:

2.5 + 0.15p = 0.4p

0.25p = 2.5 (subtract 0.15p on both sides)

p = 10 (multiply 4 on both sides)

7 0
3 years ago
Read 2 more answers
An automobile owner found that 20 years ago, 72% of Americans said that they would prefer to purchase an American automobile. He
LenaWriter [7]

Answer:

z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395  

Now we can find the p value taking incount that we are using a bilateral test

p_v =2*P(z>2.395)=0.01662  

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile  is significantly different from 0.72 and then the claim is correct

Step-by-step explanation:

Information given

n=43 represent the random sample taken

X=38 represent the Americans who they would prefer an American automobile

\hat p=\frac{38}{43}=0.884 estimated proportion of Americans that they would prefer an American automobile

p_o=0.72 is the value that we want to check

\alpha=0.1 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the percentage of Americans that they would prefer an American automobile  today differs from 72%, then the system of hypothesis are:

Null hypothesis:p=0.72  

Alternative hypothesis:p \neq 0.72  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395  

Now we can find the p value taking incount that we are using a bilateral test

p_v =2*P(z>2.395)=0.01662  

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile  is significantly different from 0.72 and then the claim is correct

5 0
3 years ago
Find, to the nearest integer, the number of feet in the length
OLEGan [10]

Answer:

Length of shadow on the ground = 11 ft (Approx)

Step-by-step explanation:

Given:

Height of pole = 15 ft

Angle of elevation of the sun = 53°

Find:

Length of shadow on the ground = ?

Computation:

⇒ Tan A = Height / Base

⇒ Tan A = Height of pole / Length of shadow on the ground

⇒ Tan 53° = Height of pole / Length of shadow on the ground

⇒ Tan 53° = Height of pole / Length of shadow on the ground

⇒ 1.327 = 15 / Length of shadow on the ground

⇒ Length of shadow on the ground = 15 ft / 1.327

⇒ Length of shadow on the ground = 11.3 ft

Length of shadow on the ground = 11 ft (Approx)

7 0
4 years ago
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