Answer:
- The graph has a minimum.
- The graph has a y-intercept at (0, -3).
- The solutions ... are -1 and 3.
- The vertex is located at (1, -4).
- In the equation, 'a' would be positive.
Step-by-step explanation:
When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.
The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).
The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.
- The graph has a minimum.
- The graph has a y-intercept at (0, -3).
- The solutions ... are -1 and 3.
- The vertex is located at (1, -4).
- In the equation, 'a' would be positive.
Answer:
91
Step-by-step explanation:
We know that, the sum of the exterior angles of a polygon is 360 i.e., (x+3) + (2x+1) +(3x-1) = 360 i.e., x+2x+3x+3+1-4 = 360 i.e., 6x = 360 Therefore, x = 60 Now, x+3 = 60+3 =63 2x+1 = 2*60 +1 =120 + 1 = 121 3x-4 = 3*60 - 4 = 180 - 4 = 176 The exterior angles are 63, 121 and 176
Answer:
648
Step-by-step explanation:
Write 162% as 162
/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
162
/100 of 400 = 162
/100
× 400
Therefore, the answer is 648
If you are using a calculator, simply enter 162÷100×400 which will give you 648 as the answer
<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels
m miles and is on a trip for
x days then Rita will receive:
55x + 0.45m dollars.
Rita drove 300 miles, means that m=300. Thus </span>
55x + 0.45m becomes <span>
</span>
(dollars.)
She was reimbursed $2,335 means that
.
Part A:
.
Part B:
We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:
55x=2,335-135=2,200.
Dividing both sides by 55, we get: x=2,200/55=40.
Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.
Answer: The two consecutive numbers are 6 and 7.
Step-by-step explanation:
Here the problem is that the logarithm is not the natural logarithm we usually use, to return to the natural logarithm, we can use the next property:
Logₐ(x) = Ln(x)/Ln(a)
Then:
Log₂(75) = Ln(75)/Ln(2)
Now we can do these calculations.
Ln(75)/Ln(2) = 4.317/0.693 = 6.229
Now we want to find two consecutive integers, n and m, such that:
n < 6.229 < m
Because they are consecutive numbers, we must have:
m = n + 1
then:
n < 6.229 < n + 1
The only possibility here is:
n = 6
n + 1 = 7
The two consecutive numbers are 6 and 7.
