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olga nikolaevna [1]
2 years ago
9

(V2.00)Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.​

Mathematics
1 answer:
Mashutka [201]2 years ago
6 0

Answer:

The standard form of the quadratic equation is f(x)=-2x^{2}+12x-16

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

f(x)=ax^{2}+bx+c

we have

f(x)=-2(x-3)^{2}+2

convert to standard form

f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16

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tatuchka [14]
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2

The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67

Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
7 0
3 years ago
"isotherms are drawn at regular intervals; on this map, the interval between successive isotherms is ______ fahrenheit degrees."
Marizza181 [45]

An isotherm on a geographic map is a type of equal temperature at a given date or time. And if we talk about thermodynamics, it is a curve on a Pressure – Volume diagram at a constant temperature.

 

Basing from the graph, we can actually see that the interval is:

 

10 <span>Fahrenheit degrees</span>

6 0
2 years ago
PLEASE HELP ME !!!!!
Nuetrik [128]
I would say A. I hope I am right. I dunno if it would be A. or C.  But I think A would be the better pick.
4 0
2 years ago
How do you do 27 divided by 624 in partial quotients
Virty [35]

Answer:

Step-by-step explanation:

For this case we have the following numbers:

624

27

When dividing both numbers, we observe that:

The partial quotient of the division is equal to 23

The rest of the division is equal to 3.

Note: See attached image to see the procedure of the division between both numbers.

Answer:

the partial quotient of 624 divided by 27 is:

23

6 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form for the line with slope and -intercept .
Mazyrski [523]

Answer:

y = \frac{2}{5} x - 9

Step-by-step explanation:

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