The Slope of f(x) = –7x + 9 is (-7)
The slope of h(x) = –5(–7x + 9) is (35)
The y-int of h(x) is (-45).
Anything times 1 = the same number so 696969x1=696969
Answer:
Given the size of rectangular plate in advertisement = 5 cm by 3cm.
Given the condition for length should be = 0.25 of 5 cm
Step-by-step explanation:
Now, have to write the inequality from the given data.
Therefore, 5- 0.25 ≤ L ≤ 5+.25
4.75 ≤ L ≤ 5.25
We know that the area of a rectangle = Length × Width.
Width = 3
Thus, the area is 3 × L
3× (4.75) ≤ 3×L ≤3× (5.25)
14.25 ≤ 3×L ≤ 15.75
So the minimum area is 14.25 cm^2
The maximum area is 15.75 cm^2
The dilation factor Sophia is using appears to be
(image coordinate)/(original coordinate) = -9/-3 = 15/5 = 3
Then the problem tells us
(pre-image point)×3 = (3, 1)
so we conclude
(pre-image point) = (3, 1)/3 = (1, 1/3)
Answer:
8.4 dollars
Step-by-step explanation:
The error is in the resolution of the proportion. In fact, the initial proportion is correct:

where x is the total cost. However, the following step of the resolution is wrong. In fact, the correct resolution is the following:
- Multiplying by x on both sides:

- Multiplying by 3.5 no both sides:

And now we can find x:

So, the total cost is 8.4 dollars.