The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands: If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model? −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82 −3.09 ≤ x ≤ 32.82 5.6 ≤ x ≤ 24.13

Answer:

The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution

The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

Answer:

Data set A {41,19,29,12,49,30} = 30

Data set B {28,22,10,30,15} = 21

Data set C{49,24,18,53,38} = 36.4

Step-by-step explanation:

Data set A {41,19,29,12,49,30} =

Mean = Sum of terms/ number of terms

Number of term = 6

Mean = 41 + 19 + 29 + 12 + 49 + 30/ 6

= 180/6 = 30

Data set B {28,22,10,30,15} =

Mean = Sum of terms/ number of terms

Number of term = 5

Mean = 28 + 22 + 10 + 30 + 15/ 5

= 105/5 = 21

Data set C{49,24,18,53,38} =

Mean = Sum of terms/ number of terms

Number of term = 5

Mean =49 + 24 + 18 + 53 + 38/ 5

= 182/5 = 36.4

Answer:  see image

Step-by-step explanation:

Count how many spaces the vertex is away from the line x = -1.  Then place that vertex the same distance on the other side of the line x = -1.

Answer:

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the inheritance = $ 6,000

Interest rate of the first part = 4% simple

Interest rate of the second part = 7% simple

Interest of the accounts after the first year = $ 360

2. How much did he invest in each account?

For answering the question, we will use the following equation:

x = Amount invested in the first account

6,000 - x = Amount invested in the second account

0.04x + 0.07 * (6,000 - x) = 360

0.04x + 420 - 0.07x = 360

-0.03x = 360 - 420 (Subtracting 420 at both sides)

-0.03x = -60

x = -60/-0.03

x = 2,000 ⇒ 6,000 - x = 4,000

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Answer:

120

Step-by-step explanation:

The total number of triangles that can be made are 120.

We have a circle and 10 points are placed on it.

We have to find how many possible triangles can be made such that their vertices will be the given points.

A combination can be defined as the number of possible arrangements of elements without taking into consideration the order of selection. The number of possible combinations can be given by -

[tex]\frac{n!}{(n-r)!r!}[/tex]

In the question given to us - we have 10 points on circle. Only three points are needed to make a triangle. The order does not matter here, therefore -

[tex]\frac{10!}{(10-3)!3!}\\\\\frac{10!}{7!\times3!} \\\\\frac{10\times9\times8\times7!}{7!\times3\times2\times1}[/tex]

10 x 3 x 4 = 120

Hence, the total number of triangles that can be made are 120.

To solve more questions on combinations, visit the link below -

https://brainly.com/question/13387529

#SPJ2

Answer:

Part 1:  The range is 7-1 = 6

Part 2: 1 - 0.5 = 0.5

Part 3: 4 ( already rounded off )

Step-by-step explanation:

hope this helped <33

Answer:

0.2

Step-by-step explanation:

10v=2

v=2/10

v=0.2

Answer:

10

Step-by-step explanation:

We can do the ratio of 8:2:10. If we add it all up, we get 20. We do 100/20 and get 5, so each number equals 5. Then we do 2*5.

Sorry if this is wrong.

Answer:

5/12

Step-by-step explanation:

take the number of students who read under6 books (5) and divide by total amount of students (12)

5/12

Answer:

5/12

Step-by-step explanation:

there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books

i guess it is hexagonal pyramid

as it has 7 verticies

Answer:

Length of transverse axis  = 2 b  = 10

Length of conjugate axis   = 2 a  = 4      

Step-by-step explanation:

Explanation:-

Given Hyperbola

                       [tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]

  Standard form of Hyperbola    

                  [tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]

   Center (h , k ) = (3 , -2 )  , a = 2 and b = 5

Length of transverse axis  = 2 b = 2(5) = 10

Length of conjugate axis   = 2 a = 2 (2) = 4      

Answer:

Four books  because there are the most dots over that spot on the bottom number line thingy

Answer:

if they are proportional he will give away 20

Answer:

20 should expect to get lizard treats

Step-by-step explanation:

There are 4+10+6 treats = 20 treats

10 out of the 20 are lizard treats

10/20 = 1/2

There are 40 people

1/2 * 40 = 20

20 should expect to get lizard treats

=============================================

Explanation:

Note that m + 1/m and m^2 + 1/(m^2) are very similar. If we square (m + 1/m), then we end up with something in the form (a+b)^2 = a^2 + 2ab + b^2, where a = m and b = 1/m. The 2ab portion is equal to 2*m*(1/m) = 2 which allows us to isolate m^2 + 1/(m^2) fully.

The steps below show this

[tex]m + \frac{1}{m} = \sqrt{71}\\\\\left(m + \frac{1}{m}\right)^2 = \left(\sqrt{71}\right)^2\\\\m^2 + 2*m*\frac{1}{m} + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} - 2 = 71-2\\\\m^2 + \frac{1}{m^2} = 69\\\\[/tex]

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Alternatively, you can isolate m in the equation [tex]m + \frac{1}{m} = \sqrt{71}[/tex] to get two irrational solutions. Plug either solution into m^2 + 1/(m^2) and you should get the same result as above.

Answer:

40

Step-by-step explanation:

if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails

Answer:

If they are proportional we can expect 40

lol iready

Answer:

<-0.3, -7>

Step-by-step explanation:

Re:  a vector from (-3.7,2) to (-4, -5).

This has two components:  a horizontal one and a vertical one.

The horizontal component is -4 - (-3.7) = -0.3.

The vertical component is -5 - 2 = -7

Thus, the desired vector is <-0.3, -7>

Answer:

B on edge

Step-by-step explanation:

got it right (2021)

Answer:

2.5

Step-by-step explanation:

the mean, better known as the average, can be found by finding the sum of  all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5

Answer:

2.5

Step-by-step explanation:

Answer:

B (from down below) They are similar but your q does not match up with the picture

Step-by-step explanation:

to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.

Answer:

15

Step-by-step explanation:

30 quarts of 1 percent combined with 15 quarts of 4 percent would equal 45 quarts of 2%

Answer:

vertex (-4,-1)

2nd point ( 0,31)

Step-by-step explanation:

f(x) = 2x^2 + 16x + 31

First find the vertex

The x coordinate of the vertex is -b/2a  where ax^2 +bx +c

-16/ 2(2) = -16/4 = -4

Substitute into the function

f(-4) = 2 ( -4)^2 +16(-4) +31

       = 2 *16-64 + 31

       = 31 -64 +31

       = -1

The vertex is at ( -4,-1)

Another point can be x=0

f(0) = 0+16(0)+31

     = 31

( 0,31)

Answer:

Hey there!

-6 ft is 6 ft below sea level.

Hope this helps :)

Answer:

9

Step-by-step explanation:

because the angle is 45 deg, it is 1/8 of the full circle

the arc it intercepts will also be 1/8 the circumference of the full circle

72*1/8=9

Answer:

dollars

Step-by-step explanation:

Answer:

v=lwh

Step-by-step explanation:

which is length×width×height.

Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.

Fall:

5 neighbors' lawns / 2.5 hours = 2 lawns per hour

Summer:

6 neighbours' lawns / 1.2 hours = 5 lawns per hour

2 x 100% / 5 = 40%

2 is 40% of 5

The probability of not drawing a red marble is   7/10

The probability of drawing a red marble is  3/10

=======================================================

Explanation:

We have 3 red marbles out of 5+2+3 = 10 total. Therefore, the probability of selecting a red marble is 3/10.

The probability of not selecting a red marble is 7/10 because 3/10+7/10 = 1. Put another way, we have 7 marbles that aren't red (the 5 blue and 2 black ones) out of 10 total.

Answer:

Hey there!

We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.

3x+9=0

3x=-9

x=-3

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Subtracting 6 from both sides yields |3x + 9| = 0.  For this to be true, 3x + 9 must be 0, and so x must be -3.

Answer:

The distance of the midpoint of AB = 4 cm

The distance of the midpoint of CD = 28 cm

Step-by-step explanation:

The given information are;

Segment AD = 36

Point C and point B are points on AD such that AB:BC:CD = 2:3:4

Which gives;

The proportion of AB in AD = 2/(2+3+4) = 2/9

The length of AB = 2/9×36 = 8 cm

The proportion of BC in AD = 3/(2+3+4) = 3/9

The length of AD = 3/9×36 = 12 cm

The proportion of CD in AD = 3/(2+3+4) = 4/9

The length of AD = 4/9×36 = 16 cm

The coordinate of the midpoint of AB = 8/2 = 4 cm from A

The distance of the midpoint of AB = 4 cm

The coordinate of the midpoint of CD = 8 + 12 + 16/2 = 28 cm from A

The distance of the midpoint of CD = 28 cm.

Answer:

  P''(1, 7)

Step-by-step explanation:

4 units right and 1 left will add a net of +3 to the x-coordinate.

2 down and 5 up will add a net of +3 to the y-coordinate.

The coordinates of P with 3 added to each are ...

  P'' = P(-2, 4) +(3, 3) = P''(1, 7)

Answer:

$5 per ticket

Step-by-step explanation:

If you put it into a ratio of movie tickets to cost it will be 7 : 35

When you simplify it the ration will be 1 : 5

Answer:

$5 per ticket . # Unit rate.

Step-by-step explanation:

7 tickets costs =$35

therefore, 1 ticket cost = $35÷ 7

= $5