Find the difference. Rewrite as addition, then follow rules for addition<br> 1.46

Carmen represents the equation y=x^2+1 using a graph. She says her graph shows there is more than one input for almost every out

Korvikt [17]

No - It is a function.

A relation which is not a function has more than 1 output for an input.

7 0

3 years ago

The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t

Alex73 [517]

Answer:

Q#1.total number of T-shirts for total cost to be equal=10

Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company

Q#3.total of $105 for each company.

Step-by-step explanation:

Q#1

two functions are given

y=10.5x

y=7.5x+30

where y represents cost and x represents number of shirts

we have to find number of shirts to be purchased from each company keeping cost equal

hence we will write

10.5x=7.5x+30

10.5x-7.5x=30

3x=30

x=30/3

x=10

Number of shirts to be equal cost price is 10

Q#2

two functions are given

y=10.5x

y=7.5x+30

where y represents cost and x represents number of shirts

we have to find number of shirts to be purchased from each company keeping cost equal

hence we will write

10.5x=7.5x+30

10.5x-7.5x=30

3x=30

x=30/3

Number of shirts =x=10

Q#3

total cost=y=?

for y=10.5x

put x=10

y=10.5*10

cost=y=105

and for other function

for y=7.5x+30

put x=10

y=7.5(10)+30

y=75+30=105

8 0

4 years ago

Read 2 more answers

Evaluate Dx / ^ 9-8x - x2^

Solnce55 [7]

It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for $\sqrt x$ .

In that case, you want to find the antiderivative,

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}$

Complete the square in the denominator:

$9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2$

Now substitute $x+4=5\sin y$ , so that $\mathrm dx=5\cos y\,\mathrm dy$ . Then

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy$

which simplifies to

$\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy$

Now, recall that $\sqrt{x^2}=|x|$ . But we want the substitution we made to be reversible, so that

$x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)$

which implies that $-\dfrac\pi2\le y\le\dfrac\pi2$ . (This is the range of the inverse sine function.)

Under these conditions, we have $\cos y\ge0$ , which lets us reduce $\sqrt{\cos^2y}=|\cos y|=\cos y$ . Finally,

$\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C$

and back-substituting to get this in terms of $x$ yields

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C$

4 0

3 years ago

Find the number of terms in the sequence and find the sum of the sequence: <br><br> 5+9+13+...+145

SashulF [63]

145-13-9-5 that what your looking for

8 0

2 years ago

Wanna do meet do this code and click ask to join <br> afg-wrkj-uud

Zinaida [17]

Answer:

you talking to specific people or can anyone join

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the difference. Rewrite as addition, then follow rules for addition 1.46 - (9.2)