Answer:
B. {(-3, 4), (-8,0), (3, -8), (-3, -4)}
Step-by-step explanation:
B. is not a function because the x's repeat in this one.
If the x's repeat then it is not a function.
{(-3, 4), (-8,0), (3, -8), (-3, -4)}
The -3 repeats so it is not a function.
Y can repeat, but x cannot.
Hope this helps ya!!
Answer:
-42
Step-by-step explanation:
If you withdraw an amount, it means that you are taking it out. On the other hand, if you were to deposit an amount, you are putting money in. Taking something out means that you have less of it, so -42 would be the answer. If you were to deposit an amount, the answer would be +42 since you are adding it in.
Answer:
y = 3x -1
Step-by-step explanation:
When x goes up 2 units from 5 to 7, y goes up 6 units, from 14 to 20. That's 3 times as many units as the change in x.
When x goes up 4 units from 7 to 11, you goes up 12 units, from 30 to 32. That's 3 times as many units as the change in x.
So, the slope of the function is constant at 3. If y were 3x exactly, the output numbers would be 15, 21, 33, each of which is 1 higher than the actual output. Hence the output must be one less than 3x, or ...
y = 3x -1
Answer:
424 cm²
Step-by-step explanation:
The figure is composed of a square and a trapezium on top
A of square = 18² = 324 cm²
A of trapezium =
h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 8, b₁ = 18 and b₂ = 7 , then
A = 0.5 × 8 × (18 + 7) = 4 × 25 = 100 cm²
Area of hexagonal park = 324 + 100 = 424 cm²
Answer:
Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week
Step-by-step explanation:
Information given
represent the sample mean for the growth
represent the sample standard deviation
sample size
represent the value to check
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We want to verify if the true mean for the growth us less than 3cm per week, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation so we can use the t statistic:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week