Answer:
slope = -2/3; y-intercept is point (0, -6)
Step-by-step explanation:
y = -6 - 2/3 x
y = -2/3 x - 6
y = mx + b
m = slope = -2/3
b = y-intercept = -6
Answer: slope = -2/3; y-intercept is point (0, -6)
Answer:
7v - 7
Step-by-step explanation:
Given
7(v - 1) ← multiply each term in the parenthesis by 7
= 7v - 7
<span>We have the yearly cost in dollars y at a video game arcade based on total game tokens purchased
. So we know that:
</span>
<span>
</span>
<span>
</span><span>
Then we can study this problem by using the graph in the figure below. We know that if there's no any purchase, the yearly cost for a
member will be $60 and for a
nonmember there will not be any cost. From this, we can affirm that the cost of membership is equal to $60.
On the other hand, both members and nonmembers will pay the same price on the total game tokens purchased, this is true because of the same slope that members and nonmembers have in the equations.</span>
Answer:
has a remainder of 7 ⇒ B
Step-by-step explanation:
In m ÷ n = c + ,
Let us use the facts above to solve the question
∵ has a remainder of 5
→ Let us find the first number divided by 8 and give a reminder of 5
that means let the quotient = 1
∵ n = (8 × 1) + 5 = 8 + 5
∴ n = 13
∵ has a remainder of 7
→ Let us find the first number divided by 8 and give a reminder of 7
that means let the quotient = 1
∵ n + x = (8 × 1) + 7 = 8 + 7
∴ n + x = 15
∵ n = 13
∴ 13 + x = 15
→ Subtract 13 from both sides
∴ 13 -13 + x = 15 - 13
∴ x = 2
∴ has a remainder of 7
Answer:
Barbara's speed in clear weather is and in the thunderstorm is .
Step-by-step explanation:
Let be the speed and be the time Barbara drives in clear weather, and let be the speed and be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1).
Also,
(2).
(3). ,
and
(4).
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution because it gives a positive value for
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is .