Answer:
Problem 2) : the gradient is "-2", and the y-intercept is "3"
Problem 3)
A is 
B is 
Step-by-step explanation:
Problem 2)
In the line given by the equation: 
the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"
the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0
Problem 3)
Consider the two lines :
and
notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.
Now notice that the gradient of one of them is "1" (for ) that is the coefficient that multiplies the variable "x". While for the other line ( ) the gradient is "2" and therefore steeper than the previous one.
Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation , and the line identified with "B" is the one with smaller gradient .
A is the answer I just did that on my usa test prep
g(x) = -3x - 8
g(x) = 10
⇒ -3x - 8 = 10
⇒ -3x = 18
⇒ x= -6
g(-6) = 10 <==== answer is -6
Answer:
72°
Step-by-step explanation:
You correctly found x, but the measure of the angle is ...
4x-22 = 4·23.5-22 = 72°
___
or (6x-69)° = (141-69)° = 72°
Answer:
0.9375 = 93.75% probability that at least one of the four children is a girl.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have the following sample space
In which b means boy, g means girl
b - b - b - b
b - b - b - g
b - b - g - b
b - b - g - g
b - g - b - b
b - g - b - g
b - g - g - b
b - g - g - g
g - b - b - b
g - b - b - g
g - b - g - b
g - b - g - g
g - g - b - b
g - g - b - g
g - g - g - b
g - g - g - g
Total outcomes
There are 16 total outcomes(size of the sample space)
Desired outcomes
Of these outcomes, only 1(b - b - b - b) there is not a girl.
So the number of desired outcomes is 15.
Probability:
0.9375 = 93.75% probability that at least one of the four children is a girl.
