Answer:
-8 ≤ y ≤ 8
Step-by-step explanation:
Subtract 7 from the first one:
y ≥ -8
Subtract 3 from the second one, then multiply by 4.
y/4 ≤ 2
y ≤ 8
Now, you can write these as a compound inequality:
-8 ≤ y ≤ 8
_____
<em>Additional comment</em>
You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:
2 > 1
-2 < -1 . . . . . multiplied above by -1.
Hi there!
PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)
Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1
PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.
Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers
ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
The given case of Gallup asking the same 50 people how many hours had they worked at a job in the past 7 days. is an example of dependent sample.
<h3>What is dependent sample?</h3>
The measured values in relation in a dependent sample (also called a paired sample).
Some characteristics of dependent sample are-
- It is a dependent sample, for instance, if a sample of patients who have knee reconstruction is selected, and each patient is questioned during the procedure. The reason for this is that the identical person was questioned twice.
- If, for instance, you wish to examine if a new category of baseball bat really does have an impact on notable features and the same individuals play once from the old bat and once with new bat, you also have a dependent sample.
- Since each player utilized both bats, there are two measured values for each player, all measured values are likewise accessible in pairs.
- A variation is preselected based on the format wherein you insert your data. A series is typically a respondent and, more broadly, a case. Metric values in a sequence are therefore originally regarded as dependent.
To know more about dependent sample, here
brainly.com/question/20349318
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This means which transformation makes the same answer at x = 0
f(x) = 3x + 4
f(0) = 4
g(0) = 1 - 1 = 0
Which transformation makes 4 = 0?
4 + x = 0 + y
4 - 3 =0 + 1
1 = 1
Option 1 is your answer
Answer:
X = 96
Step-by-step explanation:
This one is pretty simple
So we're dealing with angles here.
So what we want to do is add the two angles and it =180
Here's the equation so it makes more sense:
so we'd place in those numbers
add the two angles together
than we'd subtract from 180 getting the value of X
