Answer:
Step-by-step explanation:
Answer:
x = 10/7 or x = -10/7
Step-by-step explanation:
By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides
From what we have here, the coefficient of the x term is 0
Thus, we have it that;
0 = 100 - 49x^2
We can proceed to use the difference of two squares here;
Whereby;
a^2 - b^2 = (a-b)(a + b)
0 = (10-7x)(10+7x)
10 - 7x = 0 or 10 + 7x = 0
7x = 10 or 7x = -10
x = 10/7 or x = -10/7
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
So,
We'll just use A to represent both Jan and Mya's miles, since they ran the same number.
We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8
We'll just use A to represent both J and M.
S = M - 8
We'll use Elimination by Substitution.
2A + A - 8 = 64
Collect Like Terms
3A - 8 = 64
Add 8 to both sides
3A = 72
Divide both sides by 3
A = 24
Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24
Substitute
S = 24 - 8
S = 16
Check
24 + 24 + 16 = 64
64 = 64 This checks.
So,
J = 24
M = 24
S = 16
