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meriva
3 years ago
5

Find the intersection point for the following linear functions. f(x) = 2x + 3 g(x) = -4x − 27

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

(- 5, - 7 )

Step-by-step explanation:

Equate f(x) and g(x), that is

2x + 3 = - 4x - 27 ( add 4x to both sides )

6x + 3 = - 27 ( subtract 3 from both sides )

6x = - 30 ( divide both sides by 6 )

x = - 5

Substitute x = - 5 into either of the 2 functions for y- coordinate

Substituting into f(x)

f(- 5) = 2(- 5) + 3 = - 10 + 3 = - 7

Thus point of intersection = (- 5, - 7 )

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Ed stein paid $40.00 interes tonaloan
KIM [24]

Answer:

The rate of interest paid on the principal amount is 8%.

Step-by-step explanation:

Here, Principal Amount = $2,000

Time = 3 months = (3/ 12 ) Years = 0.25 years

Rate = R

Interest Amount  = $40

Now, as we know :

Simple Interest  = \frac{P \times R \times T}{100}

⇒40  = \frac{2,000 \times R \times 0.25}{100}\\\implies R = \frac{40 \times 100}{2000 \times 0.25}   =8

or, R = 8%

Hence, the rate of interest paid is 8%.

6 0
3 years ago
8+5(-9+4x) but can only be done like this 2(3+9x)<br><br> Help me pls:)
Elina [12.6K]

Answer:

6+18x

Step-by-step explanation:

6 0
3 years ago
What is the value of y when the value of x is 1
Rudiy27
60 because every x number equals 60 y numbers also if you divide the last x number which is 4 by the last y number that is 240 you get 60
5 0
3 years ago
What is the LCM of 16a 3 b and 24ab 2?
vitfil [10]

Do the operation:

3, 16, 24 | 2

3, 8, 12 | 2

3, 4, 6 | 2

3, 2, 3 | 2

3, 1, 3 | 3

1, 1

Answer:

\boxed{\bf~The~answer~is~2^{4}~*~3~or~48.}

Hope it helped,

Happy homework/ study/ exam!

6 0
3 years ago
1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)
Scrat [10]

Let's solve your equation step-by-step.

Question 1:   −2(6−2x) =4(−3+x)

 

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

 

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

 

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:  

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

 

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

−2x+2=−2x−8

 

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

 

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

 

Answer: There are no solutions.

 

8 0
3 years ago
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