Answer:
(x + 2)(x + 8)
Step-by-step explanation:
x² + 10x + 16
consider the factors of the constant term (16) which sum to give the coefficient of the x- term.
the factors are + 2 and + 8 , since
+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then
x² + 10x + 16 = (x + 2)(x + 8) ← in factored form
Answer:
y= 3x + 3
Step-by-step explanation:
From the graph we get 2 points: (-1,0) and (0,3)
(0,3) tells us that b = 3
and we use the equation to calculate m
m = = 3/1 = 3
so plugging m and b into y = mx + b gives us
y = 3x + 3
First subtract 3 from 51 which gives you 48, then divide 48 by 3 which gives you the answer of 16.
It is necessary to imagine the sum of the areas between each z-score and the average.
Given as the ratio of the area under the normal curve between two z-scores, both above average.
The Z score accurately measures the number of standard deviations above or below the mean of the data points.
The formula for calculating the z-score is
z = (data points – mean) / (standard deviation).
It is also expressed as z = (x-μ) / σ.
- A positive z-score indicates that the data points are above average.
- A negative z-score indicates that the data points are below average.
- A z-score close to 0 means that the data points are close to average.
- The normal curve is symmetric with respect to the mean and needs to be investigated.
Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.
Learn more about z-score from here brainly.com/question/16768891
#SPJ4
Step
<u>Find the slope of the given line</u>
Let
slope mAB is equal to
Step
<u>Find the slope of the line that is perpendicular to the given line</u>
Let
CD ------> the line that is perpendicular to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to
so
Step
<u>Find the equation of the line with mCD and the point (3,0)</u>
we know that
the equation of the line in the form point-slope is equal to
Multiply by both sides
therefore
the answer is
the equation of the line that is perpendicular to the given line is the equation