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3 years ago

Find the value or values of p in the quadratic equation p2+13p-30=0

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

This is an examination to test your level of skill. By asking this quesiton to others, you do not show your true level and maybe be placed in a higher math than you are able.

factor
remember
if ab=0
assume that a and/or b=0

p^2+13p-30=0
fidn what 2 numbers add to 13 and multiply to -30
15 and -2
(p+15)(p-2)=0

set each to zero
p+15=0
p=-15

p-2=0
p=2

the roots are p=-15 and/or 2

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Choose the correct equation type for each system.

Lunna [17]

Answer:

Inconsistent= 1, & 3

Equivalent= 2&6

Consistent= 4&5

Step-by-step explanation:

Equivalent means both sides of the equation has similar results

Consistent means the equation has an order pair of x, y that make it true

Inconsistent means impossible to solve using a set of values for the variable

1. y=3x-2

3x-y=4----------------make y subject of equation as 3x-4=y

Equate the two equation

y=3x-2

y=3x-4

3x-2=3x-4---------------collect like terms

3x-3x=-4+2

0=-2---------------inconsistent

2. 1/2 y=-x+5------------multiply by 2 both sides to have y=-2x+10

2y=-4x+2

we have

y=-2x+10----------------------use y in this equation in the second equation

2y=-4x+20

2(-2x+10)=-4x+20

-4x+20=-4x+20----------------Equivalent

3. y=-x+4----------------use this in the second equation as

x=-y-6

x= - (-x+4)-6

x= x-4-6

x=x-10--------------collect like terms

x-x= -10

0= -10--------------inconsistent

4. y=4x+2

y=6x-10-----------equate the two

4x+2=6x-10----------collect like terms

4x-6x=-10-2

-2x=-12

x=6---------------------use to find y

y=4(6)+2=24+2=26

(x,y)=(6,26)---------consistent

5. y=2x+1

y=-2x+3

Equate the two equation

2x+1=-2x+3-------------collect like terms

2x+2x=3-1

4x=2

x=1/2----------use to find y

y=2 *1/2 +1 =1+1=2

(x,y) = (1/2, 2)---------------consistent

6. -2x +5y=0

y=2/5x-------------------use this in the first equation

-2x + 5(2/5 x)=0

-2x+2x =0

0=0-----------------------Equivalent

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3 years ago

The sum of three times a number, x, and 12

Marina CMI [18]

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

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3 years ago

Y=1/3x+2 Is this a linear equation or nonlinear

Vanyuwa [196]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

What's the Error? 3+1(6+2) 4(6-2) 4(3) 12

gulaghasi [49]

Yes 12 thats the error

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3 years ago

A driving school wants to find out which of its two instructors is more effective at preparing students to pass the state’s driv

jonny [76]

Answer:

Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2

Step-by-step explanation:

We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis

H0: p1 - p2 = 0

The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis

Ha: p1 - p2 > 0

This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)

We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.

If our test statistic falls in this region, we will reject the null hypothesis.

See the attached photo for the hypothesis test and conclusion

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3 years ago