ABCD is a parallelogram. Find z.

Answer:

6(6x^2-4x-3)

Step-by-step explanation:

pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3

Answer:

[tex]6 (6x^{2} - 4x - 3)[/tex]

Step-by-step explanation:

[tex]36x^{2} - 24x - 18[/tex]

[tex]= 6 (6x^{2}) - 6 (4x) - 6(3)[/tex]

[tex]= 6 (6x^{2} - 4x - 3)[/tex]

After 8 seconds the ball height was 42 units.

It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

It is required to find how high was the ball after 8 seconds.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The orbit of the ball will be a parabola.

We know the standard form of a quadratic function:

[tex]\rm y=ax^2+bx+c[/tex]      where [tex]\rm \\a\neq 0[/tex]

At x = 0 and y = 10, we get:

[tex]\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10[/tex]

At x = 2 and y=24, we get:

[tex]\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14[/tex]....(1)

At x = 16 and y = 10, we get:

[tex]\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\[/tex]....(2)

By solving equations (1) and (2), we get;

a = - 1/2, b = 8 and c = 10

Putting these values in the standard form of a quadratic function, we get:

[tex]\rm y = - \frac{1}{2} x^2+8x+10\\[/tex]

Now, after 8 seconds means when x = 8, we get:

[tex]\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42[/tex]

Thus, after 8 seconds the ball height was 42 units.

Know more about the parabola here:

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Answer:

b

Step-by-step explanation:

Answer:

[tex]\frac{17}{30}[/tex]

Step-by-step explanation:

→ Substitute in the numbers

[tex]1\frac{2}{5} -\frac{5}{6}[/tex]

→ Simplify

[tex]1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}[/tex]

Answer:

91931 blue marker are made more than red

63012 blue marker are made more than green

Answer:

y = 3/8x - 1.5

Step-by-step explanation:

Answer:

6000

hope this helps =3

Answer:

A

Step-by-step explanation:

W (- 4, 7 ) → W' (- 2, 4 )

- 4 → - 2 in the x- directions is a shift of + 2

7 → 4 in the y- direction is a shift of - 3

then translation rule should be

(x, y ) → (x + 2, y - 3 )

Answer:

You didnt show the table, not sure how to answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is assumed as simple interest.

The amount of interest is:

The amount paid back is the sum of the loan and interest:

Answer:

Above is the solution to the question

Answer:

3,500=3.5

500=0.5

75=0.075

1=0.001

x=x÷1000

Answer:

distribute the 2 to the 3 and 4 so you get 6+8  which is 14

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Answer:

10=x

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Answer:

B because it’s just pluss what makes it easier

Answer:

D. Congruent

Step-by-step explanation:

complementary angles is when the sum of two angles is equal to 90 degrees.

∠A +  ∠B = 90°

21° + ∠B = 90°

∠B = 90° - 21°

∠B = 69°

Answer:

∠B = 69°

Step-by-step explanation:

Complementary angles are such pairs of angles that sum up to 90°. In this case, we are given that ∠A and ∠B are a pair of complementary angles. This means that ∠A and ∠B sum up to 90°.

⇒ [tex]\angle A + \angle B = 90\°[/tex]

⇒ [tex]21\° + \angle B = 90\°[/tex]                                                                                    [∠A = 21°]

⇒ [tex]\angle B = 90 - 21[/tex]

⇒ [tex]\angle B = 69\°[/tex]

Answer:

yes the ratio is the same

Step-by-step explanation:

12/8 = 3/2 (divided the top and bottom by 4)

6/4 = 3/2 (divided the top and bottom by 2)

yes the ratio is the same

Answer:

To compare, first find out what the ratio of boys to students is at the beginning of the school year: 12/8 or, in the simplest form, 3/2.Once school resumes in January, that ratio becomes 18/12 - (12 + 6)/(8 + 4) - or 3/2 in simplest form.Therefore, the ratio is still the same.

Step-by-step explanation:

Answer:20

Step-by-step explanation: Add all the marbles up = 100 divided by 2 = 50 so then divide the purple marble by 2 =20.

Tanya should expect to pull a purple marble for 8 times.

The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted.

Given that, Tanya performed an experiment in which she randomly pulled a marble from a bag,

Out of the experiment that Tanya performed, we can get an experimental probability.

This experimental probability is given by the quotient between the frequency for each color, and the total number of trials.

The total number of trials is:

N = 25 + 35 + 40 = 100

And on 40 of these, she got a purple marble, then the experimental probability of getting a purple marble is:

p = 40/100 = 0.4

Now, if she draws 50 marbles more, she should expect to get:

0.4×50 = 8

Hence, Tanya should expect to pull a purple marble for 8 times.

Learn more about experimental probability click;

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The solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

We can solve this equation using the following steps:

Subtract pi/2 from both sides to get sin(x) = 1/2.

Recall that the sine function is positive in the first and second quadrants.

Therefore, we need to find the angles in these quadrants where sin(x) = 1/2.

The two angles in the first quadrant where sin(x) = 1/2 are pi/6 and 5pi/6. The two angles in the second quadrant where sin(x) = 1/2 are 7pi/6 and 11pi/6.

Adding pi/2 to each of these angles gives the solutions to the original equation. These solutions are:

x = pi/6 + pi/2 = 2pi/3

x = 5pi/6 + pi/2 = 7pi/6

x = 7pi/6 + pi/2 = 5pi/3

x = 11pi/6 + pi/2 = 4pi/3

We now need to check which of these solutions lie in the interval [3pi/2, 2pi]. We find that the solutions in this interval are:

x = 5pi/3

x = 4pi/3

Therefore, the solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.

To learn more about trigonometry from the given link:

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The area of the drafting section on the screen after Jenny left a right margin for editing marks is 1,077,120 pixels.

The first step is to determine the dimensions of the drafting section:

Length = 11 inches

Width = (1 - 1/5) x 8.5 = 6.8 inches

The second step is to convert the dimensions to pixels:

Length = 11 inches x 120 = 1320

Width = 6,8 inches x 120 = 816

Area = 1320 x 816 = 1,077,120 pixels

Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Answer:

1,077,120 pixels

Step-by-step explanation:

I got a 100% on the test

Answer:

1/10+1/10=2/10

Step-by-step explanation:

we first need to add all marbles and make a fraction of white and red marble

Answer:

312,000,000

Step-by-step explanation:

Standard notation is when you move the decimal however many times the 10 is being squared by. In this case, it is 8.

Since the 8 is not negative, we move it 8 times to the right.

Since there are only 2 digits, we add 6 more zeros because 2+6=8

that is how you get 312,000,000

Answer: 8 gallons of water are being used per day.

Step-by-step explanation: If the question is how many gallons of water are used a day, then you can find this out using the following steps:

3 divided by 9 = 1/3.

1/3 times 24 = 8

8 gallons of water are being used per day.

Answer:you got all of them right good job

Step-by-step explanation:

Answer:

You did a good job

Step-by-step explanation:

keep it up

Answer:

The median is the same for both car types, but Bandit have lower mean.

Step-by-step explanation:

Answer:

a &b

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First we have to solve them to make it easier to compare them.

So...

[tex]-3(-2)+3=9\\3(-4)+9=-3[/tex]

Now we now that the first one is 9 and the second one is -3. So obviously the positive number has to be greater than the negative number, so....

[tex]9>-3[/tex]

Answer:

-3(-2)+3 is greater than 3(-4)+9.

Step-by-step explanation:

First, we have to solve.

1) -3(-2)+3  Solve left to right. -3(-2)=6

6+3           Add. 6+3=9

9

2) 3(-4)+9  Solve left to right. 3(-4)=-12

-12+9          Add. -12+9=-3

-3

9 is greater than 3. So, -3(-2)+3 is greater than 3(-4)+9.

Hope this helped!! Have a great day :D

Answer:

They will need eight buses.

Step-by-step explanation:

320/40 = 8