6 - x/10 = -3
6 = -3 + x/10
9 = x/10
90 = x
The correct students about the function are;
B: The function represented by the table has a greater rate of change.
C: The function y = 7x + 8 has the greatest y-intercept.
<h3>How to Interpret the Function Table?</h3>
We are looking at the equation;
y = 7x + 8
The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, the slope of the given equation is 7 while the y-intercept is 8.
From the table, the rate of change which is also is simply the slope from the formula;
m = (y₂ - y₁)/(x₂ - x₁)
m = (32 - 16)/(4 - 2)
m = 8
Looking at the given options, only options that are correct are Options B and C.
Read more about Function Table at; brainly.com/question/9404442
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Answer:
1.16
Step-by-step explanation:
Given that;
For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.
This implies that:
P(0<Z<z) = 0.3770
P(Z < z)-P(Z < 0) = 0.3770
P(Z < z) = 0.3770 + P(Z < 0)
From the standard normal tables , P(Z < 0) =0.5
P(Z < z) = 0.3770 + 0.5
P(Z < z) = 0.877
SO to determine the value of z for which it is equal to 0.877, we look at the
table of standard normal distribution and locate the probability value of 0.8770. we advance to the left until the first column is reached, we see that the value was 1.1. similarly, we did the same in the upward direction until the top row is reached, the value was 0.06. The intersection of the row and column values gives the area to the two tail of z. (i.e 1.1 + 0.06 =1.16)
therefore, P(Z ≤ 1.16 ) = 0.877
Answer: The correct line is
Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:
We are to select one of the lines from above that represent three equivalent expressions.
We can see that there are three different forms of a quadratic expression in each of the lines:
First one is the simplified form, second is the factorised form and third one is the vertex form.
So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.
We have
and
So,
Thus, Line 1 contains three equivalent expressions.
Now,
and
So,
Thus, Line 2 does not contain three equivalent expressions.
Hence, Line 1 is correct.
