Answer:
(c) -3.8, 3
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are the values of x where the function values are equal. These are the x-coordinates of the points where the graphs of y=f(x) and y=g(x) intersect each other.
<h3>Points of intersection</h3>
The points where the graphs cross can be estimated to be ...
(-3.8, 6.5) and (3, -6)
The x-coordinates of these points are the solutions to the equation:
x = -3.8, 3
The given equations are:
1) 2y = -x + 9
⇒ x = 9-2y
2) 3x - 6y = -15
⇒3x = 6y - 15
x = 2y - 5
Equating the values of x, we get:
9 - 2y = 2y - 5
9 + 5 = 4y
14 = 4y
y = 3.5
Using this value of y in equation 1 we get:
x = 9 - 2(3.5) = 2
So, the solution set is (2, 3.5)
Answer:
D
Step-by-step explanation:
We will use the order of operations to evaluate the expression.
From left to right , Multiplication/Division followed by Addition/Subtraction.
21 / 3 + 8 - 4
= 7 + 8 - 4
= 15 - 4
= 11
Therefore, the answer is D
Answer:
<u>The correct answer is that the area of the regular octagon is 309 cm²</u>
Step-by-step explanation:
There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .
Area = (2 * s²)/tan 22,5°
s = 8 cm
Replacing with the real values, we have:
Area = (2 * 8²)/tan 22,5°
Area = 2 * 64/0.4142
Area = 128/0.4142
<u>Area = 309 cm² (Rounding to the nearest tenth)</u>
Answer:
They suggest that the audience has listened to and understood all of Truth’s reasons.
Step-by-step explanation:
Obliged to you for hearing me, and now old Sojourner ain’t got nothing more to say.
This Implies that she needs to say nothing more, because the truth was so blaringly obvious that everyone in the crowd understood it. It also implies that no better argument for her cause could be put forward, and none was needed.
