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2 years ago

How do you graph y=x^2-2x-3

1 answer:

3 0

The graph of the given quadratic equation will be along the y-axis and cuts the intercepts at x (-1,3) points.

<h3>What is a graph? </h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given quadratic equation is:-

y = x² - 2x - 3

So the value of x will be (-1,3) so the quadratic curve will cut the intercepts at x(-1,3). The graph of the quadratic equation is attached with an answer.

To know more about graphs follow

brainly.com/question/25020119

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Is 2 pounds of meat will serve 5 people, how many pounds will be needed to serve 13 people?

Rina8888 [55]

Answer:

6 pounds

Step-by-step explanation:

6 0

3 years ago

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Find an equation for the ellipse that satisfies the given conditions.

svetoff [14.1K]

Answer: (x^2)/25 + (16y^2)/375) = 1

Step-by-step explanation:

since foci are symetrically located on x-axis about origin, the equation of the ellipse must be of the following form:

(x^2)/(a^2) + (y^2)/(b^2) = 1, where a = semi-major axis, and b = semi-minor axis,

and: e = eccentricity = sqrt(a^2 - b^2)/a = 0.25; foci located at (+/- sqrt(a^2 - b^2),0) = (+/- 1.25,0)

---> sqrt(a^2 - b^2) = 1.25 ---> 1.25/a = 0.25 ---> a = 1.25/0.25 ---> a = 5; and sqrt(a^2 - b^2) = 1.25 = 5/4

---> a^2 - b^2 = (5/4)^2 = 25/16; or 5^2 - b^2 = 25/16 ---> 25 - b^2 = 25/16;

---> b^2 = 25 - (25/16) = 25[1 - 1/16] = 25(15)/16 = 375/16

---> (x^2)/25 + (y^2)/(375/16) = 1 ---> (x^2)/25 + (16y^2)/375) = 1

Hope this help...and correct it's been awhile..Let me know

4 0

3 years ago

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich

Bess [88]

Answer:

a). k = 2.0794

b). $A_{t}=A_{0}(2^{3t} )$

c). 13107200 cells

d). rate of growth after 6 hours = 27255112

e). 4.76 hours

Step-by-step explanation:

From the formula of bacterial population,

$A_{t}=A_{0}e^{kt}$

Where $A_{t}$ = Bacterial population after time t

$A_{0}$ = Initial population

k = relative growth factor

t = duration or time

a). For $A_{t}=2\times 50=100$ cells

and $A_{0}=50$ cells

Time t = 20 minutes = $\frac{1}{3}$ hours

Now we plug in these values in the formula,

100 = $50(e^{\frac{k}{3}})$

$e^{\frac{k}{3}}=2$

By taking natural log on both the sides of the equation,

$\frac{k}{3}(lne)=ln(2)$

k = 3ln(2) = 2.0794

b). To get the expression we will plug in the value of k in the formula.

$A_{t}=A_{0}e^{kt}$

Since k = 3ln(2)

$A_{t}=A_{0}e^{3t(ln2)}$

Let y = $e^{3t(ln2)}$

By taking natural log on both the sides of the equation,

lny = $ln(e^{3t(ln2)} )$

lny = 3t(ln2)ln(e)

ln(y) = 3t(ln2)

ln(y) = $ln(2)^{3t}$

y = $2^{3t}$

Now our expression will be $A_{t}=A_{0}(2^{3t} )$

c). Number of cells after t = 6 hours

$A_{6}=50(2^{3\times 6} )$

$A_{6}=50(2^{18})$

$A_{6}=50\times (262144)=13107200$

d). We can get the rate of growth by finding derivative of the expression

$\frac{d}{dt}(A_{t})=\frac{d}{dt}[A_{0}(e^{kt}})]$

= $A_{0}[ke^{kt}]$

Now $\frac{d}{dt}(A_{6})=k.A_{6}$

= 2.0794×13107200

= 27255112

e) From the given formula,

$A_{t}=A_{0}(2^{3t} )$

$1000000=50(2^{3t} )$

$2^{3t}=20000$

3t(ln2) = ln(20000)

t = $\frac{ln(20000)}{3(ln2)}$

t = $\frac{9.90349}{2.07944}=4.76$ hours

3 0

3 years ago

Identify the radius, height, and diameter of the cylinder.

Svetach [21]

Please mark me the braniliest

Answer:

Radius = 12in

Diameter = 24in

Height = 30in

Step-by-step explanation:

Trust me I took the test

5 0

3 years ago

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What is the measure of x in degrees ?

mr Goodwill [35]

Answer:

x = 35°

Step-by-step explanation:

Same side interior angles are supplementary, or they add up to 180°. So write an equation:

$x+145=180$

Solve for x. Subtract 145 from both sides:

$x+145-145=180-145\\\\x=35$

The value of x is 35°.

:Done

8 0

3 years ago