Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's write down the equations which we will be solving as displayed below:
Equation No. 1 -
4m + n = 6
Equation No. 2 -
3m = 2n - 13 / 2
To begin with, we will make ( n ) the subject in the first equation as displayed below:
Equation No. 1 -
4m + n = 6
n = 6 - 4m
Next, we will substitute the value of ( n ) from the first equation into the second equation and also make ( m ) the subject. Then, we will solve the equation as displayed below:
Equation No. 2 -
3m = 2n - 13 / 2
3m = 2 ( 6 - 4m ) - 13 / 2
3m = 12 - 8m - 13 / 2
3m + 8m = 12 - 13 / 2
11m = 11 / 2
m = ( 11 / 2 ) ÷ 11
m = 1 / 2
Now we will substitute the value of ( m ) from the second equation into the first equation as displayed below:
Equation No. 1 -
n = 6 - 4m
n = 6 - 4 ( 1 / 2 )
n = 6 - 2
n = 4
ANSWER:
Therefore, our answer is:
m = 1 / 2
n = 4
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Answer:
The inequality solves to r > 5
The graph has an open hole at 5, with shading to the right
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Explanation:
6+9r is the same as 9r+6
We'll subtract 6 from both sides to undo the +6
9r+6 > 51
9r+6-6 > 51-6
9r > 45
Then we'll divide both sides by 9 to isolate r.
9r/9 > 45/9
r > 5
The entire time, the inequality sign stays the same.
The solution set involves anything larger than 5. So something like r = 7 would work while r = 2 does not.
Visually, we'll have an open hole at 5 on the number line. Shade to the right to indicate things larger than 5. The open hole tells the reader "do not include 5 as part of the solution set".
Answer:
$620
Step-by-step explanation:
Let the price of refridgerator be "r"
price of washer be "w"
and
price of dryer be "d"
Total 1800, that means, we can write:
r + w + d = 1800
Also, refrigerator cost 250 more than washer, so we can write:
r = w + 250
The dryer is HALF (0.5) of washer, so we can write:
d = 0.5w
Now, we replace equation1 with equation 2 & 3, so get an equation in "w" and solve for w:
r + w + d = 1800
w + 250 + w + 0.5w = 1800
2.5w + 250 = 1800
2.5w = 1800 - 250
2.5w = 1550
w = 1550/2.5
w = 620
Thus, the washer costed $620
This simply means that the equation of the line is a horizontal line at the appropriate y value, in this case 49.
F(X) = 49
Y = 49.
Draw a horizontal line on the y axis at the 49th number, basically, the X coordinates of all other points, would vary, but the y coordinate is the same for all of them. As the graph continues.
Domain is all real number
Range is not, it would be 49 only.
Answer: Four.
Step-by-step explanation: There are four angles formed by each intersection. Since m and n are parallel, the angles formed will be the same.