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Gnom [1K]
4 years ago
15

What is the vertex of a parabola having the equation y = –2(x – 5)2 + 7? Which direction does the parabola open?

Mathematics
1 answer:
Vika [28.1K]4 years ago
7 0

y = -2(x-5)^2 + 7

That's vertex form for a parabola y=a(x-p)^2+q and we read off vertex (p,q) as

Answer: Vertex (5,7)

The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual y=x^2. I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.

Answer: downward

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A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at
sergij07 [2.7K]
Number of stocks held = 30
Price at which each shares of Lofty Cheese Company bought = 20 1/4
                                                                                                 = (81/4) dollars
Price at which each shares of Lofty Cheese Company sold = 25 1/4
                                                                                             = (101/4) dollars
Amount of profit made per share of Lofty Cheese Company = [(101/4 - (81/4)] dollars
                                                                                                 = (20/4) dollars
                                                                                                 = 5 dollars
Amount of profit made for 30 shares of Lofty Cheese Company = (30 * 5) dollars
                                                                                                       = 150 dollars.
So you will make a profit of $150.The correct option in regards to the question given is option "C".


3 0
3 years ago
Is 0.4 greater than 1/2
9966 [12]

Answer:

No

Step-by-step explanation:

Since 1/2 =0.5

0.5 > 0.4

Therefore

1/2 >0.4

6 0
3 years ago
"Given m = -2/5 and b = -7, write the equation of the line containing these points"
KatRina [158]

Answer:  y = (-2/5)x - 7

This is the same as writing y = -\frac{2}{5}x-7

======================================================

Explanation:

Any linear equation is of the form y = mx+b, known as slope-intercept form

m = slope

b = y intercept

We'll replace m with -2/5 and replace b with -7 to get y = (-2/5)x + (-7) which simplifies to y = (-2/5)x - 7

4 0
2 years ago
any help will be helpful and you have to make ur own graph paper if you don't have none he said but please help I don't understa
ivann1987 [24]

Step-by-step explanation:

do you need graph paper?

just minus the 2nd cordnates x to the 1dt cordnates x and same for the y. that will give you the distance for each x and y points

8 0
3 years ago
Find the missing length of each right triangle
lbvjy [14]

Answer:

<em>24 cm </em>

Step-by-step explanation:

10² + b² = 26²

b = √(26² - 10²) = √576 = <em>24 cm</em>

6 0
3 years ago
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