Answer:
D
Step-by-step explanation:
Just substitute your point (1,0) to each equation given.
I'll first substitute it into D
y=3(x-1)
0=3(1-1)
0=3(0)
0=0
The answer is D
Answer:
-3 < x ≤ 8
Step-by-step explanation:
First, write this statement with symbols:
2x - 5 > -3, but also:
2x - 5 ≤ 11
Adding 5 to both sides of the first inequality yields 2x > 2. pr x > 1.
Adding 5 to both sides of the second inequality results in 2x ≤ 16, or x ≤ 8.
Thus, -3 < x ≤ 8 is the shortest way in which to write the given information.
Suzette ran for 1.5 hours and biked for 2.5 hours.
a. Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
b. x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
From equation i, x = 4 - y
Put x = 4-y into equation into equation ii
6.5x + 14y = 44.75
6.5(4 - y) + 14y = 44.75
26 - 6.5y + 14y = 44.75
Collect like terms
-6.5y + 14y = 44.75 - 26
7.5y = 18.75
Therefore, y = 18.75/7.5
y = 2.5
Therefore, she bikes for 2.5 hours
Since x + y = 4
x = 4 - y
x = 4 - 2.5
x = 1.5
She ran for 1.5 hours.
Read related link on:
brainly.com/question/24578032
5.7145 is bigger than the square root of 29 (which is 5.3851...)
Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..
Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So
Problem:
Dirextly to X (× by X)
Inversely to Y, (÷ by Y)
Z= k X/Y
Solve, working backwards: Z =5 becomes
5 = k (X) ÷ (Y). And
X=15 and Y =9 becomes
5= k(15)/(9). Undo ÷9, ×9 both sides
45= k(15). Now undo ×15 by ÷15 both sides
45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...
Z = 3X/Y
Use the new #s.... X=23, Y=14
Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals
