First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x
That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
(22•5a3b4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
4ab • (5a2 • b3)
STEP
2
:
Multiplying exponential expressions :
2.1 a1 multiplied by a2 = a(1 + 2) = a3
Multiplying exponential expressions :
2.2 b1 multiplied by b3 = b(1 + 3) = b4
Final result :
(22•5a3b4)
F(x) = |2x-1|-5
f(x) = |2*(x)-1|-5
f(-3) = |2*(-3)-1|-5 ... replace every x with -3
f(-3) = |-6-1|-5
f(-3) = |-7|-5
f(-3) = 7-5
f(-3) = 2 which is the final answer
Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.
Part A:
Given the ratio 1 : 2, we can describe this ratio with the following situation.
The number of green balls to orange balls in the bag is in the ratio of 1 : 2. For every green ball in the bag, there are 2 corresponding orange ball.
Part B:
Given the ratio 29 : 30, we can describe this ratio with the following situation.
The ratio of the amount of sugar used to the amount of salt used to prepare the sugar-salt solution is 29 : 30. For every teaspoons of sugar used in the solution, 30 teaspoons of salt needs to be used.
Part C:
Given the ratio 52 : 12, we can describe this ratio with the following situation.
The
number of kilometers travelled by the car and the bicycle is in the ratio of 52 :
12. For every 52 kilometers travelled by the car, the bicycle travelled 12 kilometers.
