Answer:
(3, 7)
Step-by-step explanation:
Just substitute x = 3 into the equations.
2(3) + 4y = 34
6 + 4y = 34
4y = 28
y = 7
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7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.
8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.
9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
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Answer:
24
Step-by-step explanation:
Options
- (A)g(5) = 12
-
(B)g(1) = -2
- (C)g(2) = 4
- (D)g(3) = 18
Answer:
(D)g(3) = 18
Step-by-step explanation:
Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8
Then the following properties must hold
- The value(s) of x must be between -1 and 4
- The values of g(x) must be between 0 and 18.
- g(-1)=2
- g(2)=9
We consider the options and state why they are true or otherwise.
<u>Option A: g(5)=12</u>
The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.
<u>Option B: g(1) = -2
</u>
The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.
<u>Option C: g(2) = 4
</u>
The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.
<u>Option D: g(3) = 18</u>
This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.
Therefore, Option D could be true.
