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Snowcat [4.5K]
3 years ago
8

How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

OPTION C: (x - 5)(x + 6)

Step-by-step explanation:

Given: (x - 3)(x + 4) - 18

Product of (x - 3) and  (x + 4) = x² + 4x - 3x - 12

Therefore, (x - 3)(x + 4) - 18 = x² + x - 30

This is a quadratic equation and the roots are x = 5, -6.

This can be written as binomials as:

  (x - 5)(x + 6) which is the required answer.

So, OPTION C is the answer.

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What is the quotient?
Anni [7]

Answer:

The answer is C. 6

Step-by-step explanation:

The answer is C. because 30 divided by 5 equals 6.

8 0
3 years ago
(9•4)•18 = 9•(4•18)<br><br><br> A True <br> B. False
AveGali [126]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please solve both with explanation, I’ll give brainliest
DiKsa [7]

1st and 2nd pictures are for finding area and 3rd picture is for finding perimeter

hope you understood well and if not and you can ask again

4 0
2 years ago
Y=x^2-6x-16 in vertex form
satela [25.4K]

Answer:

y=(x-3)^{2} -25

Step-by-step explanation:

The standard form of a quadratic equation is y=ax^{2} +bx+c

The vertex form of a quadratic equation is y=a(x-h)^{2} +k

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

h=\frac{-b}{2a}

In this case, our quadratic equation is y=x^{2} -6x-16. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

h=\frac{-b}{2a} ⇒ h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is y=x^{2} -6x-16

y=x^{2} -6x-16 ⇒ y=(3)^{2} -6(3)-16 ⇒ y=9-18-16 ⇒ y=-25

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: y=a(x-h)^{2} +k

a: 1

h: 3

k: -25

y=(x-3)^{2} -25

Hope this helps!

3 0
3 years ago
On average, the merchandise shop sells 80 CDs for every 1 vinyl record. Estimate how many vinyl records they are likely to sell
sp2606 [1]
The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
         80  CDs -------------------- 1 vinyl record
        760 CDs --------------------- x vinyl records
     ---------------------------------------------------------
        80  : 760 = 1 : x
        80 x = 760
        x = 760 : 80
        x = 9.5  or 9 ( we need a whole number )
       Answer: They are likely to sell  9 vinyl records.
7 0
3 years ago
Read 2 more answers
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