P(x)=0.2x^2+20x-4 where x is the number of units sold. How many units need to be sold for the business to make a profit of $101?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Given the profit equation ;P(x)

x = number of units sold

P(x) = profit made

P(x) = 101

101 = 0.2x^2+20x-4

0.2x^2+20x-4 - 101

0.2x² + 20x - 105 = 0

Using the formula:

-b±[sqrt(b² - 4ac) / 2a]

Where ;

a = 0.2 ; b = 20, c = - 105

Using the quadratic equation solver to save time :

The roots are :

-105 and 5

Items sold cannot be negative ;

Hence, x = units sold = 5


Related Questions

What is 7/2 divided by 5/4?


HURRY UP PLZ!!

Answers

2.8 in decimals, 2 4/5 as a fraction.

Answer:

[tex] \frac{14}{5} [/tex]

Step-by-step explanation:

1) Use this rule : a ÷ b/c = a × c/b.

[tex] \frac{7}{2} \times \frac{4}{5} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{7 \times 4}{2 \times 5} [/tex]

3) Simplify 7 × 4 to 28.

[tex] \frac{28}{2 \times 5} [/tex]

4) Simplify 2 × 5 to 10.

[tex] \frac{28}{10} [/tex]

5) Simplify.

[tex] \frac{14}{5} [/tex]

Therefor, the answer is 14/5. And is decimal form it would be, 2.8.

WILL MARK BRANIEST IF ITS RIGHT PLEASE HELP ME I HAVE BEEN STUCK ON THIS QUESTION (note for the problem look at picture 1 for your answer choices look at picture 2.

Answers

Answer:

I think B is right answer

A square pyramid with base edge 10 centimeters and height 12 centimeters, what is the Volume?

Answers

Answer:400 cm

Step-by-step explanation:

Answer:

120 cu. cm

Step-by-step explanation:

A distance of 5 units is best described by the distance between the —

Answers

Answer:

c and d

Step-by-step explanation:

(giving brainiest)

real quick one should take someone around 5-7-10 minutes it really depends!

Answers

Answer:

Step-by-step explanation:

E

ill mark u brainliest

Answers

Answer:

The slope represents the number of cookies sold for each dollar.

Answer: it is C

Step-by-step explanation: each point is a number boxes sold and some profit

Find the volume of x.

Answers

Answer:

98 degrees

Step-by-step explanation:

the full degree of a triangle is 180 degrees

52 + 30 = 82

180 - 82 = 98

Determine whether the following graph represents a function.

Answers

Yes it is a function

Answer:

yes the graph represents a function

Step-by-step explanation:

plz mark me brainliest

Find the value of x in the triangle shown below.
15
х
9

Answers

Answer:

x=12

Step-by-step explanation:

[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]

[tex]x^{2}[/tex]=225-81

[tex]x^{2}[/tex]=144 /sqrt

x=12

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 3 to the power 6/5


The expression above can also be written in the form c√a^b.
For this expression, a = , b = , and c =
.

Answers

Answer:

For this expression, a = 3, b = 6, and c = 5.

Step-by-step explanation:

For the given expression, a = 3, b = 6, and c = 5.

We have given that,

Type the correct answer in each box. Use numerals instead of words. If necessary, use for the fraction bar(s). 3 to the power 6/5.

The expression above can also be written in the form c√a^b.

We have to determine the,

For this expression, a = , b = , and c =

What is the expression?

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables.

For this expression, a = 3, b = 6, and c = 5.

To learn more about the expression visit:

https://brainly.com/question/9752655

#SPJ2

What is the coefficient of q in the sum of these two expressions?

(23q – 34) and (–16q – r)
2/3
3/4
1/2
1

Answers

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0

Answers

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

[tex]y = \frac{-1}{3}x[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

[tex]y = \frac{-1}{2} x+2[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)

In an office, there are 75 women and 125 men .Find the ratio of
the number of men to the number of women.

Answers

Given:

In an office, there are 75 women and 125 men.

To find:

The ratio of the number of men to the number of women.

Solution:

We have,

Number of men = 125

Number of women = 75

The ratio of the number of men to the number of women is:

[tex]\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}[/tex]

[tex]\text{Required Ratio}=\dfrac{125}{75}[/tex]

[tex]\text{Required Ratio}=\dfrac{5}{3}[/tex]

[tex]\text{Required Ratio}=5:3[/tex]

Therefore, the ratio of the number of men to the number of women is 5:3.

which is the correct expression of (2x+3) (2x^2-5)

:
:
:

Answers

where are the answers?

A machine produces 78 boxes per minute. At this rate, how long would it take the machine to produce 7,020 boxes?

Answers

Answer:

90 Minutes

Step-by-step explanation:

7020 divide by 78 = 90

ANSWER FAST ITS DUE IN AN HOURRRRRR

Answers

You question by using your brain I don’t know answers but please give me brainliest I’m trying to rank up. Y = mix+b

Simplify.
(-2)^-3

A.) 8

B.) 1/8

C.) -8

D.) - 1/8

Answers

Answer:

D. -1/8

Step-by-step explanation:

need help im struggling ​

Answers

Answer:

the first answer is correct

Step-by-step explanation:

before we started we had not caught any fish

Answer:

I think a is correct bc the rest aren't true

hope this helped

A rectangular piece of land measures 250 m by 220 m. Each side is to be fenced with 3 rows of wires. What is the length of the wire needed?

Answers

Answer:

2,820 m

Step-by-step explanation:

Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.

The perimeter p of a rectangle of length l and width b is given as

p = 2(l + b)

Hence p = 2( 250 + 220)

= 2 * 470

= 940 m

Since each side is to be fenced with 3 rows of wires, the length of wire required

= 3 * 940m

= 2,820 m

cube root of 0.064
a) 4
b) 0.04
c) 0.4
d) 0.004​

Answers

Answer:

Option C. 0.4

Step-by-step explanation:

Given data

0.064

We are required to find the cube root of the above number

The cube root is also expressed  mathematically as

= ∛0.064

= 0.4

Hence, the answer is option C 0.4

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

Which is the solution to the inequality?
2 3/5

Will give you Brainiest

Answers

The third one is the correct answer

Answer:

the third one

Step-by-step explanation:

basically b<47/15 =>

b<3* 2/15

Which expression is equivalent to -5(1+7x)+3(3+4x)

Answers

Answer:

0(2+14x)+6(6+8x)

Step-by-step explanation:

A pachyrhinosaurus weighed approximately 4 tons and( traveled in herds but that does not matter)what would the weight of 8 pachyrhinosaurus have been in pounds?

Answers

Answer: [tex]70,547.84\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

The weight of a Pachyrhinosaurus is 4 tons

We know,  [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]

[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]

Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale

Answers

Answer:

70

Step-by-step explanation:

6x5=30

8x5=40

40+30=70

What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

ach case:
(ii) (+5) + (+2)
(v) (-5) + (-2)
(viii) (+6) + (-3)
(xi) (-4) + (+8)
illustrate each of th​

Answers

Answer:

Step-by-step explanation:

(+5) + (+2) = +7

If both numbers have same sign, add and the result will have the common sign

v) (-5) + (-2) = (-7)

Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'

Viii) (+6) + (-3) = +3

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign

xi) (-4) + (+8) = +4

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign

9x2 - 52x + 33 = -10x - 16

Quadratic Equation

Answers

Answer:

x=7/3 or x=2.33

Step-by-step explanation:

9x^2 - 52x + 33 = -10x - 16

Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.

Add 10x+16 on both sides of the equation, and simplifying.

9x^2 - 52x + 33 + 10x + 16  = -10x - 16 + 10x + 16

9x^2 - 42x + 49 = 0

Guess What! This equation is a Perfect Square Trinomial.

For a Perfect Square Trinomial, you will be able to take the square root of the first  and third terms, and the coefficient of the second term will be twice the square root of the  third term. The “sign” of your second term in your answer will be the same as the linear term sign.

So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0

So, we can rewrite this as (3x - 7)^2=0

Now, To solve, We can set each factor equal to 0, and solve.

*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*

Add 7 on both sides.

3x - 7 = 0

     +7  +7

----------------

3x=7

Divide by 3 on both sides.

3x/3 = 7/3

x=7/3

As a decimal: 2.33...

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

             -Aadi x

Which equation of a line passes through the points (-5,2) and (0,7)?​

Answers

Answer:

I think the answer will be Y=X+7

Answer:

y=x+7

Step-by-step explanation:

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

m=(7-2)/(0-(-5))

m=5/(0+5)

m=5/5

m=1

y-y1=m(x-x1)

y-2=1(x-(-5))

y-2=x+5

y=x+5+2

y=x+7

HElppppp will mark brainlest!!!!!!

Answers

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

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