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olchik [2.2K]
3 years ago
13

Morgan works at a store that sells clothing accessories. The supply function

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0

Answer:

The number of supply of base balls is 22

Step-by-step explanation:

Given

P = Q - 4

Price = $18

Required

Number of supply

The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.

To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;

Thus, giving:

18 = Q - 4

Make Q the subject of formula

Q = 18 + 4

Q = 22 quantities

Hence,  the number of supply of base balls is 22

solniwko [45]3 years ago
5 0

Answer:

B. 22 baseball cap

Step-by-step explanation:

P=Q-4

Make Q the subject of the formula

P+4=Q

Therefore,

Q=p+4

If Morgan sells the baseball cap for $18

Q=18+4

Q=22

Morgan store will supply 22 baseball caps

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Integral of x"2+4/x"2+4x+3
dolphi86 [110]

I'm guessing you mean

\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx

First, compute the quotient:

\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52

So the integral becomes

\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}

We can simplify the result somewhat:

\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}

3 0
2 years ago
Mr.Marcus is plotting a pack of pencils equally among his 25 students. After splitting the pencils he has 4 left. If there were
Alinara [238K]

Answer:

17

Step-by-step explanation:

429-4=425

425÷25=17

6 0
3 years ago
Find the slope of the line.
pickupchik [31]
There are several ways to do this.
I'll show you two methods.

1) Pick two points on the line and use the slope formula.
Look for two points that are easy to read. It is best if the points are on grid line intersections. For example, you can see points (-4, -1) and (0, -2) are easy to read.
Now we use the slope formula.

slope = m = (y2 - y1)/(x2 - x1)

Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.

Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.

Plug in values into the formula:

m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4

The slope is -1/4

2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.

Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4

As you can see we got the same slope using both methods.
6 0
3 years ago
The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap
Studentka2010 [4]

Answer:

D) (-2,-9)

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

y=a(x-h)^2+k

Vertex -> (h,k)

Axis of Symmetry -> x=h

Vertical Scale Factor -> a

  • To turn f(x)=x^2+4x-5 into vertex form, we need to complete the square on the right side
  • Therefore, if f(x)=0, then 0+9=x^2+4x-5+9 completes the square on the right side
  • This becomes 9=(x+2)^2
  • This means that our function in vertex form is f(x)=(x+2)^2-9

Therefore, the vertex of the graph is (h,k)=(-2,-9).

3 0
3 years ago
X-5 over (3x+9)(x-4)
STatiana [176]

Answer:

Simplified equation: \frac{x-5}{3(x+3) (x-4)}

<em>Brainliest Pls</em>

6 0
3 years ago
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