Answer:
m = - 31
Step-by-step explanation:
Given
- =
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
Answer:
6 C = 2+12r
7.y = .026x -.05
8.The slope is 5 and the y intercept is -2
9 x= 3
Step-by-step explanation:
6. The cost of the arrangement is the cost of the vase plus the cost of 12 roses
C = vase +12 roses
Each vase is 2 dollars and each rose costs r
C = 2+12r
7. We need to find the slope
m = (y2-y1)/(x2-x1)
=( 5.15 -1.25)/ (200-50)
(3.9)/150
.026
We know the slope and a point we can use point slope form
y-y1 = m(x-x1)
y -1.25 = .026(x-50)
Distribute
y-1.25 = .026x -1.3
Add 1.25 to each side
y-1.25+1.25 = .026x -1.3+1.25
y = .026x -.05
8. y = 5x-2
This is written in slope intercept form y= mx +b where m is the slope and b is the y intercept.
The slope is 5 and the y intercept is -2
9. The x value does not change in this vertical line. Vertical lines are x=
x= 3
Answer:
1. B, step 3
2. C, (7, -3)
Step-by-step explanation:
1. When distributing -3 in step 3, it's supposed to be -39, not 39.
2. If you solve the rest of the problem with -39 instead, you get (7, -3)
Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>