What is the zero of the function represented by this graph

Answer: a.2 41/50

Step-by-step explanation:

160 adult tickets were sold

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Set up equations to represent the problem.

Let the A and S represent the number of adult and student ticket respectively. So we can write:

12A + 6S = 3,240 --- (1)

A + S = 380  --- (2)

From (2):

S = 380 - A ---- (3)

Put (3) in (1):

12A + 6S = 3,240

12A + 6 (380 - A) = 3,240

12A + 2280 -6A = 3,240

6A = 3,240 - 2280

6A = 960

A = 960/6

A = 160 tickets

Thus, the number of adult ticket sold is 160

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9514 1404 393

Answer:

  60°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°. The interior angle adjacent to x will have measure 180°-x. So, the equation can be written ...

  100° +50° +90° +(180° -x°) = 360°

  420° -x° = 360° . . . . simplify

  x = 420 -360 . . . . . . divide by °, add x-360

  x = 60

Answer:

ΔV = 24*π   inches

Step-by-step explanation:

Amy Tube volume   =  V₁    the 6 inches sides will shape the circumference of area   A₁ = π*r²  

A₁ = π*(3)²    and

V₁ =  π*r²*h₁

V₁ = π*(3)²*8

V₁ = 72*π

In the case of Belinda, r will be 4 inches and h₂ = 6  and V₂

V₂ = A₂*h₂

V₂ =  π*(4)²*6

V₂ = 96* π

Then differences of the volumes is

V₂  -  V₁  =  ΔV = 96*π - 72*π

ΔV = 24*π   inches

Answer:

In this case, there are many answers; since the question is a little ambiguous. See the explanation below.

Step-by-step explanation:

Tutorials are exercise-specific and are sometimes referred to as sample problems. A tutorial will walk you through the steps needed to solve a particular problem or problems of a kind. As such, what is a tutorial similar to?

1.  A guide

2. A manual training e.g. on how to drive a car or a specific car type

3. A preamble to the main problem or arithmetic you want to solve

4. A preparation

5. A test of ability to conquer the main quest

6. A framework imitating what you'll meet ahead

Answer:

B.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

You are multiplying both numerator and denominator by 2 1/2

Answer:

yup cool

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

248m^2

Step-by-step explanation:

SA = 2(lw + wh + lh)

     = 2(4m*6m+6m*10m+4m*10m)

     = 2(24m^2+60m^2+40m^2)

     = 2(124m^2)

     = 248m^2

Answer:

2

Step-by-step explanation:

18-4^2=2

Answer:

18-k^2

18-4^2

18-16

2

Problem 8

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

Work Shown:

h(t) = -16t^2+48t+100 is the same as y = -16x^2+48x+100, just with different variables.

Compare this to y = ax^2+bx+c to find that a = -16, b = 48, c = 100

Then compute the x coordinate of the vertex -b/(2a) getting

h = -b/(2a)

h = -48/(2*(-16))

h = 1.5

It takes 1.5 seconds for the ball to reach its peak height. The vertex represents the max height since the parabola opens downward.

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

Problem 9

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

Work Shown:

Plug the result from problem 8 into the function

y = -16x^2 + 48x + 100

y = -16(1.5)^2 + 48(1.5) + 100

y = 136

The vertex is (1.5, 136)

This means at 1.5 seconds, the ball is 136 feet off the ground at its highest point.

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

Problem 10

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

Work Shown:

Plug in y = 0 and solve for x

y = -16x^2 + 48x + 100

0 = -16x^2 + 48x + 100

-16x^2 + 48x + 100 = 0

Apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(48)\pm\sqrt{(48)^2-4(-16)(100)}}{2(-16)}\\\\x = \frac{-48\pm\sqrt{8704}}{-32}\\\\x \approx \frac{-48\pm93.29523032}{-32}\\\\x \approx \frac{-48+93.29523032}{-32}\ \text{ or } \ x \approx \frac{-48-93.29523032}{-32}\\\\x \approx \frac{45.29523032}{-32}\ \text{ or } \ x \approx \frac{-141.2952303}{-32}\\\\x \approx -1.41547593\ \text{ or } \ x \approx 4.41547595\\\\[/tex]

A negative x value makes no sense because time cannot be negative, so we ignore the first solution. The only practical solution is roughly x = 4.415

It takes approximately 4.415 seconds for the ball to reach the ground.

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

Problem 11

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

Work Shown:

Use the same idea as problem 10. Instead of y = 0, use y = 120

y = -16x^2 + 48x + 100

120 = -16x^2 + 48x + 100

-16x^2 + 48x + 100 = 120

-16x^2 + 48x + 100-120 = 0

-16x^2 + 48x - 20 = 0

-4(4x^2 - 12x + 5) = 0

4x^2 - 12x + 5 = 0

Now apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-12)\pm\sqrt{(-12)^2-4(4)(5)}}{2(4)}\\\\x = \frac{12\pm\sqrt{64}}{8}\\\\x = \frac{12\pm8}{8}\\\\x = \frac{12+8}{8}\ \text{ or } \ x = \frac{12-8}{8}\\\\x = \frac{20}{8}\ \text{ or } \ x = \frac{4}{8}\\\\x = 2.5\ \text{ or } \ x = 0.5\\\\[/tex]

There are two moments in time when the ball is 120 feet in the air. Those two moments are at x = 0.5 seconds and at x = 2.5 seconds.

At x = 0.5, the ball is going upward. At x = 2.5, the ball is coming back down.

Answer:

(I'm not sure if your teacher is nit-picky about significant figures, but here I go...)

8) 1.5 seconds

9) 136 feet

10) 4.415 seconds

11) 2.5 seconds (also 0.5 seconds)

Step-by-step explanation:

See attached screenshot of Desmos graph showing y(t) = -16t² + 48t + 100, y = 120 and respective points.

Answer:

I think its 45.1

Step-by-step explanation:

You can go online to the percent calculator and look.

Answer:

Felipa is correct

Step-by-step explanation:

carl

[tex]6-4(4-6x)+12x\\\\2(4-6x)+12x[/tex] this is incorrect by PEMDAS  he should have multiplied the 4 by 4-6x and then add with 6

so Felipa is correct

9514 1404 393

Answer:

  8 ft

Step-by-step explanation:

Consider the attached diagram.

The rule for secants and tangents tells us ...

  (AC)(AB) = (AT)²

  AC = AT²/AB = 15²/9 = 25

Then the diameter is ...

  BC = AB - AC = 25 -9 = 16

The pond has a diameter of 16 ft, so a radius of 8 feet.

__

Additional comment

Since point C is the nearest point on the edge of the pond to point A, it must lie on line AO. Hence BC must be a diameter.

Answer:

x is equal to 2.5 and -4.5

Step-by-step explanation:

-4(x + 1)² - 3 = -51

-4(x² + 2x + 1) - 3 = -51

-4x² - 8x -3 - 3 = -51

-4x² - 8x - 6 = -51

-4x² - 8x = -45

-4(x^2 + 2x) = -45

-4(x^2 + 2x + 1) = -49

-4(x + 1)² = -49

(x + 1)² = 49/4

x + 1 = ± √(49/4)

x + 1 = ± 7/2

x = -1 ± 3.5

x = 2.5, -4.5

Answer: 18 cm

Step-by-step explanation:

the perimeter of a rectangle = 2 equal sides + 2 different equal sides

27cm + 27cm = 54cm

90cm - 54cm = 36cm

36cm/2 = 18 cm

27+27+18+18= 90

Answer:

(5,-8)

Step-by-step explanation:

if it is reflected across the X axis and this is in quadrant 3 that means if it was reflected it would fall in quadrant 2

Answer:

0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 450, \sigma = 60[/tex]

Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

This is the pvalue of Z when X = 312. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{312 - 450}{60}[/tex]

[tex]Z = -2.3[/tex]

[tex]Z = -2.3[/tex] has a pvalue of 0.0107

0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

Answer

p=5. I believe

Answer:

c

Step-by-step explanation:

Answer:

ima say c since the other person did.

but it already takes points from u when u make this question btw.

Step-by-step explanation:

Answer:

531.4

Step-by-step explanation:

ED/AE=BC/AB

ED=AE*BC/AB

ED=240*620/280

ED=531.4

Answer:

the operation is division

342 divided by 6 equals 57

as a fraction it is 342/6

Answer:

1,3,7

Step-by-step explanation:

Answer:

1 1/5

Step-by-step explanation:

Answer:

1 1/5

Step-by-step explanation:

5/5 is 1 whole and you got 1 extra so it would be 1/5

Answer:

(-9.2)(4.16)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

The value of x is 17.32

Step-by-step explanation:

It can clearly be seen that the triangle is a right-angled triangle.

In the triangle, according to reference angle 13 degree,

Base = 30

Perpendicular = x

We can use trigonometric ratios for finding the value of x

As tangent includes both perpendicular and base, we can use this.

So,

[tex]tan\ 30 = \frac{perpendicular}{base}\\tan\ 30 = \frac{x}{30}\\0.5773 = \frac{x}{30}\\x = 0.5773*30\\x = 17.319[/tex]

Rounding off to nearest hundredth

x = 17.32

Hence,

The value of x is 17.32

Answer:

The price per pound of apples is greater than $1.

Step-by-step explanation:

Please consider the complete question:

Three coworkers decided to buy fruit to share at lunch time. Antonii spent $1.47 on bananas.Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?

To find the price of apples per pound, we need to divide total amount paid by Laura ($2.88) with total pounds of apples (2.1 pounds) bought.

Price of apple per pound = [tex]\frac{2.88}{2.1}[/tex]

Price of apple per pound = $1.37142857

Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.

We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.

Using unitary method, the price per pound of apples is greater than $1.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that three coworkers decided to buy fruit to share at lunch time. Antonii spent $1.47 on bananas.Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, then

To determine the price of apples per pound, we need to divide total amount paid by Laura with total pounds of apples bought.

Price of apple per pound = 2.88/ 2.1

Price of apple per pound = $1.37142857

Since the price of apples per pound is $1.37, thus, the price per pound is greater than $1.

We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1.

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it equals 21000.....

Answer:

answer is 624996/ 25

..... . .... . . ...

I hope it helps you

:-))