Answer: D
Step-by-step explanation:
A. 3 + -7 < -4
-4 < -4
X
this one isn’t a solution
B. 3 + -7 ≤ -4
-4 ≤ -4
this works, let’s try the other equation
3(3) + 2(-7) < -5
9 + -14 < -5
-5 < -5
X
this one doesn’t work either, let’s go on to the next one
C. the first equation is the same as the first one in A, and that didn’t work, so we know that the whole thing doesn’t work and we don’t have to do any math
D. we know the first equation works because we did it in B
let’s go on to the second equation
3(3) + 2(-7) ≤ -5
9 -14 ≤ -5
-5 ≤ -5
this works, so that means that both equations work and the whole thing works :)
I think the answer to y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10 is B. Y=1/2. Y•15; 12/4.
Answer:
Part 1) The unit rate is 
Part 2) The unit rate is 
Part 3) The unit rate is 
Part 4) The unit rate is 
see the attached figure
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to

where
d ----> number of dollars (dependent variable or output value)
n ---> number of ounces (independent variable or input value)
Remember that the slope of the linear equation is the same that the unit rate
<u><em>Verify each case</em></u>
1) we have

This is a proportional relationship between the variables d and n
The slope is

therefore
The unit rate is 
2) we have
<em>First table</em>
take two points from the table
(4,1) and (16,4)
substitute in the formula of slope



simplify

therefore
The unit rate is 
3) we have

This is a proportional relationship between the variables d and n
isolate the variable d

The slope is

therefore
The unit rate is 
4) we have
<em>Second table</em>
take two points from the table
(1,4) and (2,8)
substitute in the formula of slope



therefore
The unit rate is 
Answer: .........34,650
Step-by-step explanation:
Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:

critical values
critical values
Testing the statistic values:


Test statistic ta
The critical values
It is in the region of dismissal. We dismiss the 10% significant null hypothesis.
P - value is greater than the level of significance a= 0.05
Null hypothesis we don't reject. At a 95% level, the claim is justified.

P - value below the meaning level a = 0.10, we reject the hypothesis null. At a level of 90% the claim is not justified.