Answer:
Step-by-step explanation:
Set the two unknown numbers to X and Y.
X + Y = 22
2X = 10Y
Rewrite the second equation as: X = 5Y
Now use this in the first equation: 6Y=22
Y = 3.67 [3 2/3]
X = 18.33 [18 1/3]
---------------------------------------
3 2/3 + 18 1/3 = 22, and
2*(18 1/3) = 10*(3 2/3)
The equation of the function g(x) is g(x) = x - 1
<h3>How to determine the
equation of the
function g(x)?</h3>
The given parameters are:
f(x) = x - 5
The above function f(x) is translated left by 4 units
So, we have
g(x) = f(x + 4)
This gives
f(x + 4) = x + 4- 5
Evaluate the sum
f(x + 4) = x - 1
So, we have:
g(x) = x - 1
Hence, the equation of the function g(x) is g(x) = x - 1
Read more about function transformation at:
brainly.com/question/10904859
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Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
For lines to be parallel, they have to have the SAME slope.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
9.) First find the slope of line PQ. Use the slope formula and plug in the two points.
P = (4, 1) (x₁ , y₁)
Q = (8, 4) (x₂ , y₂)



Line RS is parallel to line PQ, so they have the same slope of 3/4

To find "b", plug in the point R = (3, -2) into the equation


Subtract 9/4 on both sides
Make the denominators the same



10.) Find the slope of line PQ


Line RS is perpendicular to line PQ, so the slope of line RS is -4/3
y = -4/3x + b
Plug in the point R = (3, -2) into the equation to find "b"
y = -4/3x + b
-2 = -4/3(3) + b
-2 = -4 + b Add 4 on both sides
2 = b

Answer:
160 and 70
Step-by-step explanation: