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3 years ago

Graph the function. y = 2x^2 + 4x

Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Answer:

Step-by-step explanation:

The function y = 2x^2 + 4x has a parabolic graph that opens up.

*In factored form we have y = 2x(x + 2); if we set this equal to zero and solve for x, we obtain {-2, 0}, the roots of this function.

*The axis of symmetry is halfway between these roots: x = -1. The y-value of the vertex is the value of the function at x = -1: f(-1) = 2(-1)^2 + 4(-2) = -6. Thus, the vertex is (-1, -6).

* The y-intercept is (0, 0), since y = 0 when x = 0.

Graph the points shown and draw a smooth curve through them, remembering that this parabola opens up.

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zodwa needs R450550.00 to buy a house, the bank approved her loan for the full amount at an interest rate of 25% per year, compo

adell [148]

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

$P = \frac{r(PV)}{1- {(1 + r)}^{ - n} }$

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

n = 4*10

PV = R450550.00

if you have questions, put them in the comment

6 0

3 years ago

Question 3: Solve the Variables<br> Will give brainliest, must show work and answers!

dybincka [34]

3.

x = 3 because the 2 legs of 45-45-90 triangle are equal

y^2 = 3^2 + 3^2 = 18
y = sqrt 18 = 3 sqrt2

5 0

3 years ago

Substitue the expression 5-3x into the second equation

Rina8888 [55]

Answer:

Step-by-step explanation:

you substitute for y since you know what y equals.

so, it will then be

5x -4(5 -3x) = -3

you then multiply -4 by everything in the parenthesis

so then it will be

5x - 20 + 12x = -3

Then combine like terms

5x + 12x = 17x

then the new equation is

17x -20 = -3

the next step is to and 20 to both sides since it is negative you do the opposite.

17x - 20 = -3

17x = 17 divide 17 by both sides sice 17 is being multiplied by x you do the opposite and divide and you get 1.

4 0

3 years ago

A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1

adoni [48]

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

And the mean absolute deviation is calculated as:

$MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}$

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

$MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8$

If we simplify this, we get:

MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

6 0

3 years ago

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

yawa3891 [41]

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

3 0

2 years ago