All categories

4 years ago

PLEASE HELP ASAP

1 answer:

7 0

$x_1=-4\qquad\qquad x_2=3\\\\\\\big(x-x_1\big)\big(x-x_2\big)=0\\\\\big(x-(-4)\big)\big(x-3\big)=0\\\\\big(x+4\big)\big(x-3\big)=0\\\\x\cdot x-3\cdot x+4\cdot x+4\cdot(-3)=0\\\\x^2-3x+4x-12=0\\\\\boxed{x^2+x-12=0}$

You might be interested in

Find the value of f(3) given f(x) = − 5x + 2

Verdich [7]

Answer:

- 13

Step-by-step explanation:

Plug 3 in for x:

-5(3)+2

Simplify :

-15+2

=-13

6 0

3 years ago

Read 2 more answers

Write -2x^2 (-5x^2 + 4x^3) in standard form

saul85 [17]

-2x·-2x·(-5x·-5x+4x·4x·4x) Basically, you write out the number depending on the exponent. So if you have a power/exponent of 3, you write it out multiplied by itself 3 times. Hope this helps!

7 0

3 years ago

3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses

shutvik [7]

Answer:

The answer is below

Step-by-step explanation:

The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.

a. Write a function to describe the minimum payment due.

b. What is the minimum payment due if the bill is $345?

c. What is the minimum payment due if the bill is $1410?

d. What is the minimum payment due if the bill is $1700?

Solution:

Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:

For x < 20, B = x

For 20 ≤ x < 500, B = 20

For 500 ≤ x < 1000, B = 40

For 1000 ≤ x < 1500, B = 80

For x ≥ 1500, B = (1/10)x

$B(x)=\left \{ {{x\ \ \ x$

b) For 20 ≤ x < 500, B = 20

Therefore if the bill is $345 (x = 345), the minimum payment due would be $20

c) For 1000 ≤ x < 1500, B = 80

Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80

d) For x ≥ 1500, B = (1/10)x

Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)

7 0

3 years ago

Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the

Bogdan [553]

Answer: After working for 33 $\frac{1}{3}$ hours a week

Step-by-step explanation:

Let us write equations to represent these two places. Let x be hours worked and y be money earned.

Tim Hortons:

$200 + $5x = y

McDonalds:

$300 + $2x = y

Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > $\frac{100}{3}$