Answer:
Step-by-step explanation:
Since we know the slope and a point, we can use the point-slope form.
The point-slope form is:
Substitute 8 for m, and let (-4,-3) be x₁ and y₁, respectively. Thus:
Simplify:
Distribute:
Subtract 3 from both sides:
And we're done!
Answer:
Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense.
For example, you and I are both 1 person, we can't be half a person or 0.6 of a person, only 1.
Answer:
Probability of getting number 10 = 0
Step-by-step explanation:
Given;
Total sides of cube die = 6
Find:
Probability of getting number 10
Computation:
Total number of cube = 1, 2, 3, 4, 5, 6
Favorable outcome for 10 = 0
Probability of an event = Favorable outcome / Number of outcomes
Probability of getting number 10 = 0 / 6
Probability of getting number 10 = 0
Hey there! :)
Answer:
a. 3
b. -22
c. -2
d. -2
e. 5a + 8
f. a² + 6a + 3
Step-by-step explanation:
Calculate the answers by substituting the values inside of the parenthesis for 'x':
a. f(1) = 5(1) - 2 = 3
b. f(-4) = 5(-4) - 2 = -22
c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2
d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2
e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8
f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =
a² + 6a + 3
The answer is (2x+1)(x-5)
