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NNADVOKAT [17]
3 years ago
8

What two numbers multiply to get -60 and add to get 7?

Mathematics
2 answers:
UNO [17]3 years ago
5 0
12 × -5 = 60
12 + (-5) = 12 - 5 = 7
Paha777 [63]3 years ago
5 0
-12 and 5. To work this out, find all the numbers that times togther to make -60. Then see if any of them add together to make 7. The best way to do it is trial and error
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Answer:1. $5760

Step-by-step explanation:

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It took Debbie 3.6 hours to drive to her mother's house on Thursday morning. On her return trip on Friday night, traffic was hea
Mrac [35]

Answer:

36 mph

Step-by-step explanation:

d = rt

d = (x)(3.6)

d = (x-4)(4)

3.6x = 4x - 16

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3 years ago
Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
An administrator at a local high school wants to investigate whether there is an association between the grade level of a studen
Nataliya [291]

Answer:

c.

Step-by-step explanation:

The following is how the p-value should be interpreted:

The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.

Null hypothesis

\mathbf{H_o :} A student's grade level has no bearing or association on how they commute to school.

Alternative hypothesis;

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The test statistic's value is 14.63, and the p-value is 0.2636.

As a result, the p-value is interpreted as that of option c in the question.

5 0
3 years ago
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