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san4es73 [151]
3 years ago
6

Write a quadratic equation in standard form that has roots of -12 and 2

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24

In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.

x = -12 ----> add 8 from both sides

x + 12 = 0

We can do the same for the other zero.

x = 2 ----> subtract from both sides

x - 2 = 0

Now that we have both of these, we can multiply these two things together. This will give us the function we need.

f(x) = (x + 12)(x - 2)

f(x) = x^2 + 12x - 2x - 24

f(x) = x^2 + 10x - 24

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Perform the indicated operation.<br><br> 11(-2)<br><br> 22<br> 9<br> -9<br> -22
ASHA 777 [7]

Answer:

<u>-22</u>

Step-by-step explanation:

When you multiply a positive and negative number together, it becomes negative.

Multiplication is repetitive addition.

11(-2) = -11 + -11 = -22

3 0
3 years ago
Will give brainliest worth 50 points pls help i need this done today nonsense will be reported
hichkok12 [17]

Answer:

6. ans is 5/3 I will sovle step by step

7 0
2 years ago
Evalute the expertion (-5)(7)+4=
Harman [31]

Answer:

(-5)(7)= -35  

-35+4=-31

your answer is -31

5 0
3 years ago
Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who
tresset_1 [31]

Answer:

<em>|t|  =  2.739 > 1.972 at 0.05 level of significance</em>

<em>Null hypothesis is rejected  at 0.05 level of significance</em>

<em>The researchers able to conclude from this data that the mean commute time in the U.S. is less than half an hour</em>

<u>Step-by-step explanation</u>:

<u>Step(i)</u>:-

Given sample size n = 500

Given data

<em>mean of the sample x⁻ = 27.6 minutes</em>

<em>Standard deviation of the sample (S) =  19.6 minutes</em>

<em>Mean of the Population 'μ' = half an hour or 30 minutes</em>

<em>Level of significance ∝ =0.05</em>

t₀.₀₅ = 1.972

<u><em>Step(ii):</em></u>-

<u><em>Null hypothesis :H₀</em></u>: <em>μ= 30</em>

<u><em>Alternative Hypothesis :H₁:</em></u> <em>μ < 30</em>

Test statistic

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

   t = \frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }

 t = - 2.739

|t| = |-2.739| = 2.739

<u><em>Final answer</em></u>:-

<em>|t|  =  2.739 > 1.972 at 0.05 level of significance</em>

<em>Null hypothesis is rejected  at 0.05 level of significance</em>

<em>The researchers able to conclude from this data that the mean commute time in the U.S. is less than half an hour</em>

<em></em>

5 0
3 years ago
15 men can dig a trench of 90m long in 3 hours.how long will it take 16 men to dig a trench 48m long
Shkiper50 [21]

It will take 1.5 hours for 16 men  to dig a trench 48 m long.

<h3>How can this be calculated?</h3>

It should be noted that the  time needed is direct proportional to the length of the trench, and inverse proportional to number of men.

The equation can be written as

t=kl/m..................................................... eqn(1)

Then if we substitute the given figures we have,

3=90k/15

Then k= 0.5

then substitute into eqn(1) we have

t=0.5 l/m

Therefore, since 16 men, 48m long,  is required, the time will now be calculated as :

t=0.5 48/16

t= 1.5 hrs.

Therefore, It will take 1.5 hours for 16 men  to dig a trench 48 m long.

Learn more about proportionality on:

brainly.com/question/21749206

#SPJ4

8 0
1 year ago
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