X^2-15x-108 Factoring need help

How many different 4-digit numbers can be formed using the digits 2, 4, 5, 6, and 7 such that no digits repeat and the number is

quester [9]

If the last 2 digits of a number is divisble by 4, then the number is divisble by 4
see what combos are with ending with 2 digits divisible by 4
24
64
52
72

see their combos for the first 2 numbers
24 three other numbers to pick from so 3*2*1=6
64 three other numbers to pick from so 3*2*1=6
52 three other numbers to pick from so 3*2*1=6
72 three other numbers to pick from so 3*2*1=6

6*4=24

answer is 24 ways

7 0

2 years ago

Solve the system of equations by the addition method <br> { 5x-y=-3<br> { 4x+3y=-48

Svetach [21]

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

3(5x-y=-3)
4x+3y=-48

15x-3y=-9
4x+3y=-48

The y-terms cancel out

15x=-9
4x=-48

Add the x-terms with each other and the terms after the equal sign as well

19x=-57

Divide -57 by 19

x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

5(-3)-y=-3 or

4(-3)+3y=-48

-15-y=-3 or

-12+3y=-48

Simplify your terms

-y=12

3y=-36

Divide

y=-12

y=-12

4 0

2 years ago

Help please thanks in advance

Westkost [7]

A) In Part 1 to part 2 the bus had its farthest distance. At part 2 the bus stayed steady time went by. Part 3 to 4 was decreasing distance. part 4 was constant. Then again at part 5 the distance was increasing

B)

1 - increasing

2 - constant

3 - decreasing

4 - constant

5 - increasing

C) Non-linear, because the graph has a curve, for it to be linear it must be a straight line.

Hope this Helps :)

8 0

2 years ago

Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$