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WINSTONCH [101]
2 years ago
14

Write the given roots to quadraatic equation

Mathematics
1 answer:
german2 years ago
6 0

Answer:

It's like solving a quadratic, but in reverse, and in this case you'll arrive at x2+x−12=0

Explanation:

We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:

Let's start with the roots:

x=3, x=−4

So let's move the constants over with the x terms to have equations equal to 0:

x−3=0, x+4=0

Now we can set up the equation, as:

(x−3)(x+4)=0

We can now distribute out the 2 quantities:

x2+x−12=0

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Fofino [41]
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7 0
3 years ago
5 more than the product of a number and 4 is equal to 3 use variable y for unknown number
Inessa05 [86]

Answer:

(y + 4) + 5 = 3 \\ y + 9 = 3 \\ y =  - 6 \\

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nexus9112 [7]

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Step-by-step explanation:

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4 0
2 years ago
Elmer started out with$103 in his bank account .he spent $4 per week at the cafeteria for snacks.what is the slope (m) for this
pochemuha

Answer:

The equation is y=-4x+103

The slope is m=-4

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

y is the amount left in the saving account

x is the number of weeks

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

The slope is equal to

m=-\$4\ per\ week --> is negative because is a decreasing function

The y-intercept or initial value is

b=\$103

substitute

y=-4x+103

5 0
3 years ago
Suppose f(x) = x2 and g(x) = 2x − 3. What is the value of g(4) + f(−3)?
MAVERICK [17]

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

<u>The value of g(4)+f(-3) is 14.</u>

8 0
3 years ago
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