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zalisa [80]
3 years ago
8

2(x+3)^2=49 A. 1.95 and 7.95 B. -1.95 and -7.95 C.1.95 and -7.95 D.4 and -10

Mathematics
1 answer:
Deffense [45]3 years ago
4 0

2(x + 3)2 = 49
A 1.95 and 7.95
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In the following figure, m AC = 64° and m BD = 130°. What is measure AEB?
Salsk061 [2.6K]

Answer: 32°

Step-by-step explanation: see photo

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2.
iren [92.7K]

Answer:

  • Part A: The price of fuel A is decreasing by 12% per month.

  • Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

<u>Part A:</u>

The function     f(x)=2.27(0.88)^x     calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month       price, f(x)

1                 2.27 (0.88) = 1.9976 ≈ 2.00

2                2.27(0.88)² = 1.59808 ≈ 1.60

3                2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

<u>Part B.</u>

<u>Table:</u>

m       price, g(m)

1          3.44

2         3.30

3          3.17

4         3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

  • ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96
  • ratio = 3.17 / 3.30 = 0.960 ≈ 0.96
  • ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

5 0
3 years ago
PLEASE HELP ME WITH THIS IT IS DUE RIGHT NOW
Ugo [173]

Step-by-step explanation:

1. Perimeter = 2 ( 5+4) = <u>18 cm</u>

Area = 5 × 4 = <u>20 cm^2</u>

2. Perimeter = 2 (5+5) = <u>20 cm</u>

Area = 5 × 5 = <u>25 cm^2</u>

3. Cups of seed needed per sq. meter = Area of the rectangle backyard

= 6 × 7

= <u>42 </u><u>cups</u><u> </u><u>of</u><u> </u><u>seed</u>

4. Feet of fence needed = Perimeter of the Square garden

= 2(8+8)

<u>= 32 feet</u>

5. Perimeter of rectangular quilt = 2 (4+6) feet

= <u>20 feet</u>

6. Area of the room = 9 feet × 8 feet

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4 0
3 years ago
What is the equation of a line that passes through point R(3,7) and has a slope of 6?
djyliett [7]
The answer in slope intercept form is y = 6x-11

If you want the answer in standard form, then it would be 6x-y =11

notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
=====================================

Explanation:

The given slope is m = 6
The line goes through (x,y) = (3,7)

Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11

So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11

The answer in slope intercept form is y = 6x-11

To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side

y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11

The answer in standard form is 
6x-y = 11
which is a different way to write the same line

4 0
3 years ago
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