Answer:
smaller angle = x
larger angle = 3x + 8
x + 3x + 8 = 180
4x + 8 = 180
4x = 172
x = 43
The smaller angle measures 43 degrees.
The larger angle measures 137 degrees.
80% of x = 16
"of" translates to multiplication and 80% becomes 80/100.
80/100 × x = 16
0.8x = 16
0.8x/0.8 = 16/0.8
x = 16/0.8
x = 20
Your final answer is 80% of 20 is 16.
Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:
y-intercept (b) = -5
✔️using two pairs from the table, (1, -1) and (2, 3):
Slope = 4
✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.
Thus:
y = 4x +(-5)
y = 4x - 5
The graph of f(x) + 1 is the graph in the option C.
<h3>
Which is the graph of f(x) + 1?</h3>
For a given function f(x), a vertical translation is written as:
g(x) = f(x) + N
- If N > 0, then the translation is upwards.
- If N < 0, then the translation is downwards.
Here we have g(x) = f(x) + 1, so we have a translation of 1 unit upwards, the graph of f(x) + 1 is the graph of f(x) but translated one unit upwards.
From that, we conclude that the correct option is C.
If you want to learn more about translations:
brainly.com/question/24850937
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4x = 32 - 2x
Add -2x (or subtract 2x) from each side
2x = 32
Divide both sides by 2
x = 16
