All categories

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

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

x = -b/2a

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

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

<u>The value of y at this point is:</u>

y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6

<u>The point is </u>

(5, 6)

You might be interested in

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

⠀

${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

⠀

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago

(05.02 MC) A system of equations is shown below: 4x = −3y + 17 3x − 4y = −6 What is the solution to this system of equations? (−

aliina [53]

4x=-3y+17 becomes 4x+3y=17

4x+3y=17
3x-4y=-6

alrighty

elimination

muliply first equation by 4 and 2nd by 3 and add them
16x+12y=68
9x-12y=-18
add them

25x+0y=50
25x=50
idivide both sides by 25
x=2

sub back

3x-4y=-6
3(2)-4y=-6
6-4y=-6
-4y=-12
y=3

(x,y)
(2,3)

5 0

3 years ago

Read 2 more answers

A rectangle is 3 inches long and 2x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in sq

Sergio [31]

The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation

3 x 2x = 2(3 + 2x)
6x = 6 + 4x
2x = 6
x = 3

8 0

3 years ago

Select the correct answer.

sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

6 0

2 years ago

Choose the statements that are true about a cube with side length 1 unit. It can be used to measure volume. It has a volume of 6

daser333 [38]

Answer:

it has a volume of 1 cubic unit. its called a "unit block"

Step-by-step explanation:

4 0

3 years ago