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poizon [28]
1 year ago
6

29 If the zeros of a quadratic function, F, are -3 and 5, what is the equation of the axis of symmetry

Mathematics
1 answer:
UNO [17]1 year ago
8 0

Answer:

the axis of symmetry is X = 1

Step-by-step explanation:

make sure to ask if you need any further guidance.

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Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. Is this sum an overe
Elina [12.6K]

Answer:

  (a) 120 square units, underestimate

  (b) 248 square units, overestimate

Step-by-step explanation:

(a) <u>left sum</u>

The left sum is the sum of the areas of the rectangles whose width is the total interval width (8-0) divided by the number of divisions (n=4). The height of each rectangle is the function value at its left edge.

We can compute the sum by adding the function values and multiplying that total by the width of the rectangles:

  left sum = (1 + 5 + 17 + 37)×2 = 60×2 = 120 . . . square units

The curve is increasing throughout the interval of interest, so the left sum underestimates the area under the curve.

__

(b) <u>right sum</u>

The rectangles whose area is the right sum are shown in the attachment, along with the table of function values. The right sum is computed the same way as the left sum, but using the function value on the right side of each subinterval.

  right sum = (5 + 17 + 37 + 65)×2 = 124×2 = 248 . . . square units

The curve is increasing throughout the interval of interest, so the right sum overestimates the area under the curve.

_____

The actual area under the curve on the interval [0, 8] is 178 2/3, just slightly less than the average of the left- and right- sums.

8 0
2 years ago
1/3 of 12 = 2/3 of<br><br> 1/3 of 12 is the same as 2/3 of
julsineya [31]

Answer:

6

Step-by-step explanation:

since;

1/3 of 12 = 4

so,

(2/3) of x = 4

x=4(3/2)= 6

5 0
3 years ago
Can u guys PLEASE answer this question ASAP.
Andrej [43]

Answer:

  • 1. Interest: $166.67

           Principal: $6,166.67

  • 2. Interest: $200.00

            Principal: $5,200.00

Explanation:

<u><em>1. $6000 for 50 days at 20% p.a</em></u>

<u><em></em></u>

In 20% pa, pa means "per annum", i.e. "per year".

Assume simple interest:

  • Principal: $6,000
  • interest: 20% pa
  • time = 50 days

Interest:

  • Interest = Principal × number of days × annual rate / 360

  • Interest = $6,000 × 50 × 20% / 360 = $166.67

Principal = principal + interest = $6,000 + $166.67 = $6,166.67

<u><em></em></u>

<u><em>2. $5000 for 5 months at 0.8% per month</em></u>

Assume, again, simple interest.

  • Principal: $5,000
  • interest: 0.80% per month
  • time = 5 months

Interest:

  • Interest = Principal × number of months × montly rate

  • Interest = $5,000 × 5 × 0.80%  = $200.00

Principal = principal + interest = $5,000 + $200.00 = $5,200

You can see that the accrued interests depend on the principal, the interest rate, and the time.

8 0
3 years ago
On Monday, 279 students went on a trip
belka [17]
45 students in each bus
7 0
3 years ago
Approximate the value of each of the irrational numbers below to the nearest thousandth.
Marta_Voda [28]

ANSWER

\sqrt{13}  = 3.606

to the nearest thousandth.

EXPLANATION

The given irrational number is

\sqrt{13}

We use the calculator to evaluate this to obtain,

\sqrt{13}  = 3.605551...

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

\sqrt{13}  = 3.606

4 0
3 years ago
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