When does a quadratic equation in the form ax2 + b = c have only one real solution

Answer:

She can invite 66 people so 66 x 5 = $330 + 120 = $450

Step-by-step explanation:

Answer:

x>36

Step-by-step explanation:

Hope this helps and good luck

The interquartile range of Victor's lemonade sale is A = 7

The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.

The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.

Given data ,

Let the interquartile range of sales of Victor's lemonade be A

Now , the equation will be

Let the 75th percentile data = 29

Let the 25th percentile data be = 22

Now , the IQR is calculated by spread between the data's 75th and 25th percentiles

On simplifying , we get

The IQR = 29 - 22 = 7

Hence , the interquartile range is 7

To learn more about interquartile range click :

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The complete question is :

Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.

What is the interquartile range of the data?

Answer:

B.

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) =

= (3x³ + 8x² -7x - 4) - (2x - 6) = 3x³ + 8x² - 7x - 4 - 2x + 6 =

= 3x³ + 8x² - 9x + 2

Answer:

D.

Step-by-step explanation:

If you add them all up and subtract 30 you get 60

I MAYBE MESSED UP // haven't done this math in a while

Answer:

8.3

Step-by-step explanation:

Answer:

w= 1 29/45

isolate the variable by dividing each side by the numbers that don't contain the variable.

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Keep Change Flip

[tex]\frac{6}{1}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{18}{1}[/tex]

Answer:

The answer would be D

Step-by-step explanation:

Why? because as the temperature increases the amount of lemonade sold increases by 2

This is represented in 2(x) if that makes sense

For every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The function is given below.

f(x) = 2(x – 65) + 12

f(x) = 2x – 130 + 12

f(x) = 2x – 118

For every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade. Then the correct option is D.

More about the linear equation link is given below.

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The missing options are given below.

a) for every 65-degree decrease in high temp of the day, lemonade sales increase by 1 glass of lemonade

b) for every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade

c) for every 65-degree decrease in high temp of the day, sales decrease by 1 glass

d) for every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade

Answer:

20

Step-by-step explanation:

add 3ft+3ft+11ft+3ft and that's your answer

Step-by-step explanation:

To prove - Using the method of proof by contradiction, prove that if

                  a product of two positive real numbers is greater than

                  1,000,000, then at least one of the numbers is greater

                   than 1000.

Proof -

For a proof of contradiction , firstly we have to assume that the statement is not true.

Here given statement is -  A product of two positive real numbers is greater than 1,000,000.

Let if possible, there does not exist 2 +ve integer real number such that at least one of the numbers is greater than 1000.

⇒both the number are in between 0 to 1000

Let a and b are 2 +ve real numbers.

⇒ab < 1000×1000

⇒ab < 1000000

As given,

ab > 1000000

Contradiction.

Hence proved.

If a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.

Answer:

x=0 y=2 z=5

Step-by-step explanation:

so for z

2z=10

divid both side by 2

z=5

equation one

x+2y+5=9

x+2y=4 ------eqn1

equation two

x-y+ 3(5)=13

x-y+15=13

x-y=-2-----eqn2

now you solve it by elimination

eqn1-eqn2

3y=6

y=2

put y=2 into eqn2

x-2=-2

x=0

Answer:

y=3x^2 -15x-42

Step-by-step explanation:

The relationship between the three pieces is such that, their

sum is the length of the given stick.

Correct response:

Three equations that show different ways in which he can

break the stick of length l based on a unit length x are;

Given parameters are;

The number of pieces into which Christopher has to break the stick = 3 pieces

Length of a piece ≠ The length of the other pieces

Required:

Three equations that shows the different ways Christopher can break the stick.

Solution:

Let l represent the length of the stick, let x, represent a unit

length, and let, A, B, and C, represent the length of the pieces.

Three possible equations that can be written using multiples of x are;

Where;

The the relationship between the lengths of the pieces are;

A = x ≠ B = 2·x ≠ C = 3·x

[tex]x = \mathbf{ \dfrac{l}{6}}[/tex]

A = x ≠ B = 5·x ≠ C = 8·x

[tex]x = \mathbf{ \dfrac{l}{14}}[/tex]

Where;

A = 3·x ≠ B = 2·x ≠ C = 6·x

[tex]x = \mathbf{\dfrac{l}{11}}[/tex]

Learn more about writing equations here:

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Answer:

Step-by-step explanation:

Use pythagorean theorem

9^2 +40^2=x^2

81+1600=x^2

1681=x^2

now find the square root of each side

[tex]\sqrt{1681} =\sqrt{x}[/tex]

x=41

Answer:

The system is of equations is:

[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]

Where g is the amount of general tickets and r is the amount of reserve tickets.

35 general tickets and 25 reserve tickets were sold.

Step-by-step explanation:

Let general tickets be represented by g and reserved tickets be represented by r.

Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:

[tex]10g+15r=725[/tex]

And a total of 60 tickets were sold. Hence:

[tex]g+r=60[/tex]

Our system of equations is:

[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]

We can solve by substitution. First, divide both sides of the first equation by 5:

[tex]2g+3r=145[/tex]

Next, we can subtract a variable (r in this case) from the second equation:

[tex]g=60-r[/tex]

Substitute:

[tex]2(60-r)+3r=145[/tex]

Distribute:

[tex]120-2r+3r=145[/tex]

Simplify:

[tex]120+r=145[/tex]

Subtract:

[tex]r=25[/tex]

Using the previous equation:

[tex]g=60-r[/tex]

Substitute and evaluate:

[tex]g=60-(25)=35[/tex]

So, 35 general tickets and 25 reserve tickets were sold.

Step-by-step explanation:

Please refer to the attachment

Answer:

for 1 student it would equal 11.25

11.25 x 50 = 562.50

ur answer is 50 students hope this helps :)

Answer:

the teacher has 50 students

Step-by-step explanation:

1.75+9.50=11.25

562.50/11.25=50

Answer:

5:3

Step-by-step explanation:

Answer:

C) 1 3/8

I hope this helped :)

explanation:

I used the process of elimination. The other answers didn't make sense.

Answer:

=4m+8

Step-by-step explanation:

=(4)(m+2)

=(4)(m)+(4)(2)

=4m+8

Answer:

4m +8

Step-by-step explanation:

Take out the parenthesis

Answer:

it is C.

Step-by-step explanation:

we know,

14+17= 31

so if we subtarct 17 from 31 we get 14

and if we subtract 14 from 31 we get 17

Answer:

[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]

A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]

Step-by-step explanation:

Given - A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t.

To find - Find the rate at which the number of grams of salt in the tank is changing at time t.

Find the number A(t) of grams of salt in the tank at time t.

Proof -

Given that,

Total fluid in the tank = 350 litres

Total salt = 40 grams

Rate in flow = 5 L/min

Rate out flow = 5 L/min

Concentration in = 0

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Total solution in the tank at time t = Total fluid in the tank + (Rate in flow - Rate out flow )t

                                                        = 350 + (5 - 5)t

                                                        = 350

⇒Solution in the tank at time t = 350

⇒Concentration out = [tex]\frac{A(t)}{350}[/tex]

Now,

Rate of change in the tank at time t = [tex]\frac{dA}{dt}[/tex]

                                                           =  (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                           = 5(0) - 5([tex]\frac{A(t)}{350}[/tex])

                                                           = 0 - [tex]\frac{A(t)}{70}[/tex]

                                                           = [tex]-\frac{A(t)}{70}[/tex]

⇒[tex]\frac{dA}{dt}[/tex] = [tex]-\frac{A(t)}{70}[/tex]

⇒[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]

Integrate both sides , we get

ln(A) = [tex]-\frac{1}{70}t + C[/tex]

⇒A(t) = [tex]e^{-\frac{t}{70}+ C}[/tex]

         = [tex]e^{-\frac{t}{70}}*e^{C}[/tex]

         = [tex]C_{1} e^{-\frac{t}{70}}[/tex]

⇒A(t) = [tex]C_{1} e^{-\frac{t}{70}}[/tex]

Now,

Given that,

Initially, the tank has 40 grams of salt

⇒A(0) = 40

⇒C₁ = 40

⇒A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]

Answer:

Cabral is right

Step-by-step explanation:

Mark me brainleyest plz

Answer:

i would say (10,6)

Step-by-step explanation:

Step-by-step explanation:

Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.

So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.

Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°

Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,

With this understanding, let us now analyse the individual statements.

Step 3: Analyse Statement 1

“b = 2a”

Per conceptual understanding, the sum of all the angles of a triangle is 180.

Hence, a + b + c = 180a + 2a + c = 1803a + c = 180

However, from the above equation, we can get many values of a and c.

Hence, statement 1 is not sufficient to answer the question.

Step 4: Analyse Statement 2

“c = 3a”

a + b + c = 180a + b + 3a = 180b + 4a = 180

However, from the above equation, we can get many values of a and b.

Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)

From statement 1:

3a + c = 180

From statement 2:

c = 3a

Combining both the statements:

3a + 3a = 180.

From the above equation, we can find the value of a. Then we can find c.

Since we could find the answer by combining both the statements, option C is the correct answer.

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