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3 years ago

Identify the minimum value of the function y = 2x2 + 4x Answer

Mathematics

2 answers:

iren2701 [21]3 years ago

4 0

Answer:

(-1, -2)

Step-by-step explanation:

Find the x-value the minimum occurs at. Use this value to find the minimum value. (Graph to find the highest point)

11111nata11111 [884]3 years ago

4 0

Answer:

y = - 2 is the minimum value

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex.

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let y = 0, that is

2x² + 4x = 0 ← factor out 2x on the left side

2x(x + 2) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

midpoint = $\frac{0-2}{2}$ = - 1 ← x- coordinate of vertex

Substitute x = - 1 into the equation for corresponding y- coordinate

y = 2(- 1)² + 4(- 1) = 2 - 4 = -2

vertex = (- 1, - 2)

Hence minimum value = - 2

You might be interested in

Evaluate the following expression: 62 − 7(8 + 6 − 32)

Alex Ar [27]

Answer:

188

Step-by-step explanation:

Step 1: Distribute

62 − 7(8 + 6 − 32)

62 + (-7 * 8) + (-7 * 6) + (-7 * -32)

62 + (-56) + (-42) + (224)

Step 2: Combine the first two numbers

(62 - 56) - 42 + 224

6 - 42 + 224

Step 3: Combine the next two number

(6 - 42) + 224

-36 + 224

Step 4: Combine the last two number

-36 + 224

188

Answer: 188

3 0

3 years ago

Calculate the side lengths a and b to two decimal places.

Zinaida [17]

Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

$\angle A+\angle B+\angle C=180$

Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

$a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}$

$a=10.92 units$

$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

6 0

3 years ago

Help me with math questions urgent Thanks

aleksandrvk [35]

Answer: x = 2.65, y = 3.81

Step-by-step explanation:

ABC similar to PQR

1) Find the ratio of corresponding sides

2) Use that ratio to find values for x & y

1) Side AB = 2.76cm & Side PR = y cm

Side BC = x cm & Side RQ = 3.66 cm

Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)

Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14

Length of sides ABC = 3/4.14 times the length of sides PQR

2) x = (3 / 4.14) * 3.66 = 2.65

Now solve for y, ABC to PQR: 2.76 = (3 / 4.14) (y )

equality property (both sides) & inverse operation to isolate y : . 2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (y)

2.76 * (4.14 / 3) = 3 / 4.14 * (4.14 / 3) (y)

(2.76 * 1.38 ) = 3.81 = y

Scale Factor Method: Determine the Multiplier

Small to Big or Big to Small ➜ Be sure not to switch

7 0

3 years ago

What is the slope of -5/8 and goes through the point (2,-3)

Natalka [10]

The answer is -11/7 as a mixed number it is( -1 4/7)

4 0

3 years ago

1. If 6 + 3x = 27, what is 2x ? A. 7 B. 11 C. 14 D. 18 E. 22

Artemon [7]

Answer:

I don't know what you mean with a b c d and e, but x=7

Step-by-step explanation:

x=7 because first you subtract 6 from each side, because you wan't to have just x, so you will get 3x=21, and then you just divide both sides by3 to get x=7

8 0

3 years ago