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prohojiy [21]
3 years ago
8

Explain how the sign of a in the equation y=a(x-h)^2 + k tells you whether the parabola has a minimum or maximum value.

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
In short, for a vertical parabola, namely one whose independent variable is on the x-axis, usually is x², if the leading term coefficient is negative, the parabola opens downward, and its peak or vertex is at a maximum, check the picture below at the left-hand-side.

and when the leading term coefficient is positive, the parabola opens upwards, with a minimum, check the picture below at the right-hand-side.

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One counting number is 4 times great as a counting number.The product of the two number is 36.What is the sum of the two number
VARVARA [1.3K]

Answer:

The sum of the two numbers is 15

Step-by-step explanation:

Let the counting numbers be x and y.

Then we can write the following equations

x=4y.......1 (one is four times greater )

x(y)=36.....2 (the product of the two)

Putting equation 1 into equation 2, we get

4y(y)=36

{4y}^{2} = 36

Dividing through by 4,we get

{y}^{2} =  \frac{36}{4}

{y}^{2} = 9

Taking square root of both side, we obtain

y=3

Putting the value of y into equation , we get

x=4(3)=12

Hence the numbers are 3 and 12

Therefore the sum of the two numbers is 3+12=15

3 0
3 years ago
Daniela is a stain glass artist; she created the window below for her living room. What is
OLga [1]
The window has a shape of a semi-circle (half of a circle).

We know the diameter d = 12 ft.

The area of a (complete) circle is given by the formula:
A = π × r²

The radius can be found by halving the diameter:
r = d ÷ 2
  = 12 ÷ 2
  = 6 ft

Therefore the area of the circle will be:
<span>A = π × r²
    = 3.14 × 6</span>²
    = <span>3.14 × 36
    = 113.04 ft²

And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
   = 56.52 ft²

Hence, the area of the window will be 56.52 ft².
3 0
3 years ago
Simplify the expression (7+5)+4•13-2
Yakvenalex [24]
Pemdas

Parentheses exponents multiplication divide add subtract (7+5)=12

12+4•13-2 4•13= 52

12+52-2
64-2

The answer is 62
7 0
2 years ago
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A recipe calls for 2 1/5 cups of chopped tomatoes and 3 2/5 cups of diced turnips how many more cups of turnips did the recipe c
Zarrin [17]
The answer would be 1 1/5 more turnips. 
6 0
2 years ago
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What is the value of X?
11111nata11111 [884]

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

7 0
3 years ago
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