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allsm [11]
3 years ago
15

Two consecutive positive integers have a product of 132. what are the integers?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0
x(x+1)=132\implies x^2+x-132=(x-11)(x+12)=0

If x>0, that leaves you with x=11, and so the two integers are 11 and 12.
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How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the po
nasty-shy [4]

9514 1404 393

Answer:

  y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

  y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

  0 = a(4 -7)^2 +b   ⇒   9a +b = 0

  5 = a(1 -7)^2 +b   ⇒   36a +b = 5

__

Subtracting the first equation from the second, we have ...

  (36a +b) -(9a +b) = (5) -(0)

  27a = 5

  a = 5/27

Substituting that value into the first equation gives ...

  9(5/27) +b = 0

  5/3 +b = 0

  b = -5/3

So, the quadratic can be written in vertex form as ...

  y = (5/27)(x -7)^2 -5/3

4 0
3 years ago
What is the following product?
jenyasd209 [6]

Answer:

10\sqrt{3}

Step-by-step explanation:

\sqrt{30} .\sqrt{10} \\= \sqrt{300} \\=\sqrt{100*3} \\= 10 \sqrt{3}

6 0
3 years ago
For what interval is the value of (f – g)(x) negative?
mrs_skeptik [129]

<u>Complete question:</u>

Refer the attached diagram

<u>Answer:</u>

In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.

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

From the attached figure, it shows that given data:

f (x) = x – 3

g (x) = - 0.5 x

To Find: At what interval the value of (f-g) (x) negative

So, first we need to calculate the (f-g) (x)

(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)

⇒ (f - g) (x) =1.5 x - 3

Now we are supposed to find the interval for which (f-g) (x) is negative.

⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0

⇒ 1.5 x – 3 < 0

⇒ 1.5 x < 3

⇒ x

⇒ x < 2

Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.

7 0
3 years ago
The number of students in a school was 5100 now it is 4700. What was the percentage change?
deff fn [24]
Find the difference then put it over (divide it from) the original.
6 0
3 years ago
O<br> Type here to<br> Pls help me
Angelina_Jolie [31]

Answer:

60

Step-by-step explanation:

so you have a rectangle that has the lengths of 5 and x+2 and x is equal to 10, you add 10 and 2 and get 12 then you do 5 times 12 and get 60.

5(x+2)  x=10

10+2=12

5x12=60

3 0
3 years ago
Read 2 more answers
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