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2 years ago

The function y= x2 - 10x+ 31 has a value of

Mathematics

1 answer:

Margarita [4]2 years ago

5 0

Answer:

y = 6 at x = 5

Step-by-step explanation:

It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive

The minimum/maximum value of a quadratic function is the vertex, which is at:

x = -b/2a

For the given function y = x² -10x + 31, the vertex is:

x = - (-10)/2*1 = 10/2 = 5

The value of y at this point is:

y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6

The point is

(5, 6)

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Select all of the following that are quadratic equations.

kifflom [539]

A quadratic equation is one in which the highest exponent of x is 2.
$7x^2+14x=0$ is quadratic; the highest exponent is 2.
x³-3x²+1=0 is NOT quadratic. The highest exponent of x is 3, not 2.
5x-7=0 is NOT quadratic. The highest exponent of x is 1, not 2.
x²+3x-5=0 is quadratic; the highest exponent of x is 2.
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5 0

3 years ago

A 6 foot tall football player casts a 16 inch shadow at the same time stadium we discussed at six for shadow how tall the bleach

katrin [286]

You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical.

6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player.

So the bleachers are 9/2 x 6 ft = 27 ft.

For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216.

So the stage will have dimensions 216 times larger than 1.75" by 3".

That would be 31ft 6ins x 54ft.

Live long and prosper.

5 0

3 years ago

Which rule describes the x-coordinates in the translation below?. 4 2 h 1 M * 3 us A.x+0

Serggg [28]

Answer:

3 = 6 h M

Step-by-step explanation:

4 = 2 h ⋅ ( 1 M )⋅ 3 = 6 h M

you answered one of my questions before now i answer yours lol.

6 0

3 years ago

What is the quotient?

tangare [24]

You could answer this question easily by applying synthetic division:
_______________
-5 / 4 14 -9
-20 30
---------------------------
4 -6 21

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2 years ago

How do you solve -2(3x-1)-3=4x+5-x

maria [59]

Answer:

-6x+2-3=3x+5

2-3-5=3x+6x

-6=9x

x=-2/3

4 0

3 years ago