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3 years ago

Which of the following graphs is described by the function given below? y = 2x^2 + 8x + 3

Mathematics

1 answer:

True [87]3 years ago

3 0

Answer:

Option A

Step-by-step explanation:

Equation of the given quadratic function is,

y = 2x² + 8x + 3

y = 2(x² + 4x) + 3

= 2(x² + 4x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

By comparing this equation with the equation of a quadratic function in vertex form,

y = a(x - h)² + k

Here (h, k) is the vertex of the parabola

Vertex of the given equation will be (-2, -5) and coefficient 'a' is positive (a > 0)

Therefore, vertex will lie in the 3rd quadrant and the parabola will open upwards.

Option (A). Graph A will be the answer.

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For each equation how many solutions why?<br> Question e

Kay [80]

Answer:

one real solution

Step-by-step explanation:

it has only one solution since it is a linear graph and only intercepts the x axis once

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3 years ago

Write the expression for the Area of the polygon BORT MO 6 A= O A = 6m + mp O A = mp + 1/2(6m) O A = mp + 6p

anyanavicka [17]

We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:

$A_{sq}=mp$

The area of the triangle is given by the following formula:

$A_t=\frac{bh}{2}$

Where "b" is the base and "h" is its height. Replacing the values:

$A_t=\frac{(6)(m)}{2}=\frac{1}{2}6m$

The total area is the sum of both areas:

$A=A_{sq}+A_t$

replacing the areas:

$A=mp+\frac{1}{2}6m$

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1 year ago

Solve for the Simplest form

tino4ka555 [31]

How to solve:

$\frac{5}{6}$ - $\frac{3}{8}$

Write all numerators above the least common denominator which is 24 in this case.
$\frac{20-9}{24}$

Subtract the numbers
$\frac{11}{24}$

Alternate form: 0.458333

The final, simplified, fraction answer is: $\frac{11}{24}$

7 0

3 years ago

Read 2 more answers

Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over?

MatroZZZ [7]

Answer: she would have 6 bottles left, (18/2)/6

Step-by-step explanation:

she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.

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3 years ago

Is this correct???? TYSM

vfiekz [6]

Yep, this is all correct!

-6/2 = y/4

y = (-6×4)/2

y = -24/2

y = -12

x was multiplied by 2

and y was also multiplied by 2

5 0

4 years ago