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MA_775_DIABLO [31]

3 years ago

11

Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represen

ts y, the total cost to order x t-shirts?

1 answer:

kobusy [5.1K]3 years ago

4 0

Answer:

y = 10x+5

Step-by-step explanation:

The price of each T-shirt = $10

Design fee on each T-shirt = $5

We need to find the expression for the total cost. Let the total cost be y. So,

Let he has ordered x T-shirts. So,

y = 10x+5

Hence, this is the required solution.

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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op

klasskru [66]

The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a quadratic equation is:

y = ax² + bx + c

The graph of a quadratic equation is a parabola.

The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.

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4 0

2 years ago

Please help, been stuck on this question for a while

vichka [17]

Answer:

csc (- Ф) = -29/20

Step-by-step explanation:

We know that:

csc Ф = 1/ sinФ ................. equation 1

csc (- Ф) = - csc Ф .............equation 2

Given that:

sin Ф = 20/29

Using equation 1:

csc Ф = 1/ (20/29)

csc Ф = 29/20

using equation 2:

csc (-Ф) = - csc Ф = -29/20

I hope it will help you!

3 0

3 years ago

Read 2 more answers

324.5 as scientific notation;<br><br> step by step explanation please

dlinn [17]

Answer:

3.456 x 10^11

Step-by-step explanation:

= 3.456 × 10¹¹

scientific notation

= 3.456e¹¹

scientific e notation

= 345.6 × 109

engineering notation

billion; prefix giga- (G)

= 3.456 × 10¹¹

standard form

= 345600000000

(real number)

7 0

3 years ago

Read 2 more answers

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

Sean has a bag containing x green marbles and two bags containing y blue marbles. He adds 15 marbles to the bag of green marbles

taurus [48]

((6*2)+y)+(x+15)
i hope this helps if not sorry

7 0

4 years ago