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3 years ago

How do you make a parabola?

1 answer:

8 0

Make an equation where

Y =
(any number not zero) times X² + (any number at all) times X + (any number at all)

The graph of that equation is guaranteed to be a parabola.

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2 Increase $45 by 10% =

QveST [7]

Answer:

i think 2.7

Step-by-step explanation:

if not have a great life

5 0

3 years ago

Read 2 more answers

2. Each of the following lines has a slope that can be determined by examining the graph. Use another point

Natali [406]

The slope, y-intercept and the equation of the following graph are as follows:

1(a)

slope : 1

y-intercept: 2

Equation: y = x + 2

(b)

slope : - 1 / 3

y-intercept: - 1

Equation: y = - 1 / 3x - 1

(a)

slope : 3 / 4

y-intercept: 5 / 4

Equation: y = 3 / 4 x + 5 / 4

(b)

slope : - 3 / 2

y-intercept: 1 / 2

Equation: y = - 3 / 2 x + 1 / 2

<h3 />

<h3>Slope intercept equation</h3>

y = mx + b

where

m = slope

b = y-intercept

Therefore lets find the slope, y-intercept and equation of the following graph.

(a)

(0, 2)(1, 3)

m = 3 - 2 / 1 - 0 = 1

b = 2

y = x + 2

(b)

(0, -1)(-3, 0)

m = 0 + 1 / -3 - 0 = - 1 / 3

b = -1

y = - 1 / 3x - 1

(a)

(1, 2)(-3, -1)

m = -1 - 2 / -3 - 1 = 3 / 4

2 = 3 / 4 (1) + b

b = 2 - 3 / 4 = 5 / 4

y = 3 / 4 x + 5 / 4

(b)

(-3, 5)(1, -1)

m = - 1 - 5 / 1 + 3 = - 6 / 4 = - 3 / 2

-1 = - 3 /2 (1) + b

b = -1 + 3 / 2 = 1 /2

y = - 3 / 2 x + 1 / 2

learn more on y-intercept here: brainly.com/question/2833377?referrer=searchResults

6 0

2 years ago

Question 3 of 10

yarga [219]

Answer: 60000

Step-by-step explanation:

The ten thousands place is the 5th digit from the right. Because the digit in the thousands place is less than 5, round down to 60000.

3 0

2 years ago

Read 2 more answers

iren2701 [21]

Answer:

Step-by-step explanation:

Given:

A. $2x^3-x^{2} -6x$

B. $2x^3+8x+4$

C. $3x^4+x^{2} +x-7$

D. $3x^4-3x^{2} +5x-7$

Now, let us evaluate the given expressions one by one.

$(4x^3-4+ 7x)-(2x^3-x-8)\\\Rightarrow 4x^3-4+ 7x-2x^3+x+8\\\Rightarrow 2x^3+8x+ 4$

It is equation B.

So, $(4x^3-4+ 7x)-(2x^3-x-8)$ is equivalent to B.

$(-3x^2+x^4+x)+(2x^4-7+4x)\\\Rightarrow -3x^2+x^4+x+2x^4-7+4x\\\Rightarrow3x^4-3x^{2} +5x-7$

It is equation D.

So, $(-3x^2+x^4+x)+(2x^4-7+4x)$ is equivalent to D.

$(x^{2} -2x)(2x+3)\\\Rightarrow 2x^3-4x^{2} +3x^{2} -6x\\\Rightarrow 2x^3-x^{2} -6x$

It is equation A.

So, $(x^{2} -2x)(2x+3)$ is equivalent to A.

So, answer is:

8 0

3 years ago

If the price of a product is p (dollars), the number of units demanded is given by the equation q-pe-3p

Nat2105 [25]

Answer:

$\mathbf{E(p) = 1 - 3p}$

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Step-by-step explanation:

Given that:

the number of units demanded $q = pe^{-3p}$

Taking differentiations ; we have,

$\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})$

$\dfrac{dq}{dp}=(1-3)e^{-3p}$

Now; the price elasticity of demand using the differentials definition of elasticity is:

$E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}$

$E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]$

$\mathbf{E(p) = 1 - 3p}$

(b) Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.

The estimate of the percentage change in price is :

$=\dfrac{2.10-2.00}{2.00}*100 \%$

= 5%

From (a)

$\mathbf{E(p) = 1 - 3p}$

Now at p = $2.00

E(2) = 1 - 3 (2.00)

E(2) = 1 - 6

E(2) = -5

The percentage change in q = -5 × 5%

The percentage change in q = -25%

Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

7 0

3 years ago