Answer:
scale factor is 2.5
Step-by-step explanation:
Notice that the original image is smaller than the scale drawing. Examine the ratios of the sizes:
Image/ Original :
height: 3.75 in / 1.5 in = 2.5
length: 5 in / 2 in = 2.5
The scale factor is clearly 2.5
Simple...
Which line shows the first error in the solution?
Line 3
This said, because...
5x-25=15
It'd be adding not subtracting-->>
5x-25=15-25 (No)
5x-25=15
+25 +25
5x=40 (Yes)
Thus, your answer.
Answer:
(a) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
Wherever the function crosses the x-axis, its sign changes. This lets us make a map of the signs of the function, and identify intervals where it is positive and negative.
<h3>Sign changes</h3>
The x-intercepts are said to be at x ∈ {-0.7, 0.76, 2.5}. These three crossing points divide the graph into four (4) intervals. The sign of the function is given as positive at x=0 and negative at x = 1.9. So, our sign map is ...
< -0.7 . . . . . negative
-0.7 to 0.76 . . . . . positive (2 at x=0, for example)
0.76 to 2.5 . . . . . negative (-5.7 at 1.9, for example)
> 2.5 . . . . . positive
Choosing from the descriptions, the one that matches is ...
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Answer:
6750 - 3894 = 2856
Step-by-step explanation:
You have to make use of the arithmetic facts you know.
The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.
The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.
The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.
The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.
(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)
So, the subtraction problem is ...
6750 - 3894 = 2856
_____
<em>Comment on the solution method</em>
For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.
