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marusya05 [52]
3 years ago
9

The graph of which function will have a maximum and a y-intercept of 4?

Mathematics
2 answers:
rosijanka [135]3 years ago
4 0
The y-intercept of the equation is the value of the variable y or in this case, f(x), when x is equated to zero. Out of all the choices presented in this item, if x is equated to zero, the first two terms will be equal to zero, leaving the third term only for the numerical value of f(x). 

From the choices presented, the answer would be f(x) = -x2 + 2x + 4. Thus, the answer is the third choice, C. 
Luden [163]3 years ago
3 0

Answer:

f(x) = –x2 + 2x + 4 therefor C

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The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 ca
lord [1]

Answer:

The answer is "(27.030,29.770)"

Step-by-step explanation:

(\bar{x}) = 28.4

(n)= 49

(\sigma) = 6

(CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}

z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})

CI = 28.4 \pm 1.598 \times  \frac{6}{\sqrt{49}}=(27.030,29.770)

8 0
3 years ago
A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?
Verdich [7]
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
6 0
3 years ago
What is the percentage of lemons in this group of lemons and strawberries?
tiny-mole [99]

Answer:

50%

Step-by-step explanation:

6 0
3 years ago
The area of a rectangle is 72 cm2. State the dimensions of the rectangle with the least perimeter. Calculate the perimeter.
Nitella [24]
We know that
<span>Of all the rectangles having same area, square has the least perimeter
</span>
area of square=x²
where
x is the length side of the square
A=72 cm²
72=x²
x=√72-----> x=6√2 cm

Perimeter of square=4*x------> 4*(6√2)-----> P=24√2 cm
P=33.94 cm

the answer is
the perimeter is equal to 24√2 cm or 33.94 cm

5 0
3 years ago
Graph y = 2x + 2 * Make a table of ordered pairs<br><br> (photo attached)
Gekata [30.6K]
2 Times + 2 =4 table of a pair
3 0
3 years ago
Read 2 more answers
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