Calculate the discriminant to determine the number of real roots of the equation.

y = x2 + 3x + 9

one real root
no real roots
three real roots
two real roots

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

Answer:

See below

Step-by-step explanation:

distance / rate = time

5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

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__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

Plug in the values

Factor out the exponent

Combine

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

Answer:

C

Step-by-step explanation:

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

It should be noted that the variable cost per unit will be calculated as:

= Difference in cost between high and low level activities / Difference in units

= (980 - 760)/(8000 - 6000)

= 220/2000

= 0.11

Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

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Answer:

the answer to this problem Is C. x>-3

Answer:

6 + 8x

Step-by-step explanation:

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

The approximate base area of the resulting figure is 79 in²

An equation is an expression that shows the relationship between two or more numbers and variables.

The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches

Area of base = π * radius² = π * 5² = 79 in²

The approximate base area of the resulting figure is 79 in²

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Answer: 2

Step-by-step explanation:

     We will first pull the data values.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

     Now, we will find the middle data value. This is the median.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

/,  /,  /, /, /, 2,  /,  /,  /,  /,  /

     Our median is 2.

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Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.

Answer:

56

Step-by-step explanation:

The population after 198 years from now will be 2,270,200.

Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,

[tex]\rm y = 283,900\times (2)^{x/198}[/tex]

The population after 198 years from now will be calculated as,

[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]

Simplify the equation, then we have

y = 283,900 x 8

y = 2,270,200

The population after 198 years will be 2,270,200.

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Answer:

111 (base 8) = 64 +8+1 =73(base10)

111 (base 2) = 4+2+1 =7(base 10)

Sum =73+7=80 (base 10)

8| 80|

8 | 10 | 0

8 | 1 | 2

8| 0 | 1

= 120 (base8)

80 (base10) = 120 (base 8)

Step-by-step explanation:

mark as brilliant

The next whole number after 111 in the base-two system is 1000.

In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.

To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:

1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8

So, the next whole number after 111 in the base-two system is 1000.

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Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Determine whether or not the situation describes a function.

The letter grade in this course is a function of your numerical grade.

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Then the correct option is C.

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Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

Answer:

8,999

Step-by-step explanation:

Cube root of 512 is 8.

cube root of 997002999 is 999.

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Therefore:

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

The measure of BE is 100

Sure hope this helps you

Answer:

B

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

Quizlet also said so

Force (F) = WSin(angle)

F = 2000×Sin(10)

Therefore, F = 347lb.

Answer:

if I remember I did this two days ago its was c

Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796