Answer:
Answer and Explanation:
In solving y = 2x - 4, we find that the slope of the line is 2, the y-intercept of the line is y = -4, and the x-intercept of the line is x = 2.
I hope this helps.
Answer: Keith can make 10 batches of cupcakes.
Step-by-step explanation:
To make cupcakes, he needs 1 3/10 cups of flour per batch of cupcakes. Converting 1 3/10 cups of flour into improper fraction, it becomes 13/10 cups of flour.
Let x represent the number of batches of cupcakes that Keith can make If Keith has 13 cups of flour, . Therefore,
13/10 cups of flour = 1 batch of cupcakes
13 cups of flour = x batch of cupcakes
Cross multiplying, it becomes
13/10 × x = 13 × 1
13x/10 = 13
13x = 13 × 10 = 130
x = 130/13 = 10
Answer:
(C).
Step-by-step explanation:
=
So slope intercpet form
y=mx+b
m=slope
b=y intercpet
slope=5/3
in (x,y) form
x=3
y=5 is one point
subsitute and solve for b
y=mx+b
5=5/3 times 3+b
5=3/3 times 5+b
5=1 times 5+b
5=5+b
subtract 5 from both sides
0=b
equation is
y=5/3x+0 or
y=5/3x
Answer:
Rui will reach his lowest altitude after diving for 10 seconds
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where
- h =
and k = y at x = h
In the given question
∵ d(x) =
x² - 10 x
∵ d represents his altitude in meters after x seconds
→ Compare it with the form above to find a and b
∴ a =
and b = -10
∵ h =
→ Substitute the values of a and b in the rule to find h
∴ h =
= 10
∴ h = 10
∵ h is the x-coordinate of the lowest point
∴ The time of the lowest altitude is 10 seconds
∴ Rui will reach his lowest altitude after diving for 10 seconds