Which equation represents the parabola shown on the graph?

O y2 = -2x
O y² = -8x
O x² = -2y
O x² = -8y

Answer:

Point D

Step-by-step explanation:

The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.

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

Explanation:

Point A is at (-3,3) while point B is at (2,5)

Let's use the distance formula to find the distance between these points.

[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]

The distance from A to B is approximately 5.3852 units.

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

Point C is at (-2,-2)

Let's find the distance from A to C

[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]

The distance from A to C is approximately 5.099 units.

So far, point C is the closest to point A.

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

Point D is at (3,3)

We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.

D - A = 3 - (-3) = 3+3 = 6

The distance from A to D is 6 units.

Or you could count out the horizontal spaces between the points and you should count 6 spaces.

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

Summary:

The smallest distance value is the 5.099, which is from A to C.

Therefore, point C is closest to point A.

Answer:

please write question with full info

Answer:

The s represents the y-intercept of the graph.

The 100t in the equation means the initial velocity of the rockey is 100

Step-by-step explanation:

According to the text and graph.

The s reprecets the yintexept of the graph

h(t)=5+100t-16t²

h(t)=100-32t

k(0)=100

in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100

read the image for the rest

Answer:

290,905

Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.

Answer:

X = 5

Step-by-step explanation:

When the line is going vertically down, the x-intercept is always the equation of the line.

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

However, for vertical line equations, we write them a little differently:

[tex]x=d[/tex]

We write equations for vertical lines like this because they might not always have a y-intercept.

We're given:

This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:

[tex]x=d[/tex]

[tex]x=5[/tex]

[tex]x=5[/tex]

Answer:

Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:

A=P(1+r/100)^nt

where:

A=amount

P=principle

r=rate

t=time

n=number of terms

thus:

from the infomation

$25000, r=0.75%, t=8 years, n=12/3=4

thus

A=25000(1+0.0075/100)^(4*8)

A=25000(1.0075)^32

A=$3175.28

Step-by-step explanation:

Answer:

  x = -1 and x = +1

Step-by-step explanation:

The solution to f(x) = g(x) is found where the graphs intersect.

__

Your problem statement tells you the solution:

  "The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."

We interpret this statement to mean the points of intersection are ...

  (-1, 3) and (1, 1.5)

The x-values that make f(x) = g(x) are x=-1 and x=1.

Answer:

BE

Step-by-step explanation:

Answer:

step 1

Step-by-step explanation:

in step one,  it should have been 2 x 7 x 1000

Answer:

step 1

Step-by-step explanation:

In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700

Answer:

10.6

Step-by-step explanation:

We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].

Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).

Answer:

the exponent is four

2x2x2x2 is 16

Step-by-step explanation:

(-2-6)/(3-5)= -8/-2= 4

y+2= 4(x-3)

y+2= 4x-12

y=4x-14

Answer:

y = 4x - 14 or y = 2(x - 7)

Step-by-step explanation:

Finding the slope

Finding the y-intercept

Making the equation using slope-intercept form

Answer: A. 15 miles.

Step-by-step explanation: Did the math 22, 33 and got A. 15 miles.

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

        What are the coefficients in the polynomial 4x²+3x-3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

Coefficient:-  A number before a variable

Coefficients in this polynomial:-

4 (the number before x²) and 3 (the number before x)

So we conclude that the right option is:-

[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)

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

So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.

Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.

Therefore, the total cost for the 10 kids is:

5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75

Simplifying this expression, we get:

8x + 2.75 = 8(x + 0.34375)

To learn more about cost:

https://brainly.com/question/30045916

#SPJ1

Answer:

Step-by-step explanation:

Let x be the number of days that it will take.

7/8 km per 1 day

14 km    per x day

We have to solve the equation:

[tex]\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }[/tex]

[tex]\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16[/tex]

Answer:

8 miles a day

Step-by-step explanation:

First you have to subtract the amount of miles she had already gone.

60 - 12 = 48

Next you have to divide by the remaining amount of days (6 days).

48/6 = 8

The recursive formula of the geometric sequence is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

The given parameters are:

Fifth term = 781.25

Term = 1/5 * following term

The second parameter above means that:

[tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex]

Multiply both sides by 5

[tex]a_{n+1} = 5a_n[/tex]

Remove 1 from the terms

[tex]a_{n} = 5a_{n-1}[/tex]

Using the formula [tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex], we have the first term to be:

[tex]a_1 = \frac 15 * a_2[/tex]

[tex]a_2 = \frac 15 * a_3[/tex]

[tex]a_3 = \frac 15 * a_4[/tex]

[tex]a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25[/tex]

So, we have:

[tex]a_3 = \frac 15 * 156.25 = 31.25[/tex]

[tex]a_2 = \frac 15 * 31.25 = 6.25[/tex]

[tex]a_1 = \frac 15 * 6.25 = 1.25[/tex]

Hence, the recursive formula is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

Read more about recursive sequence at:

https://brainly.com/question/1275192

#SPJ1

Answer:

A

Step-by-step explanation:

She made a mistake on step 3

The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]

This is what her steps should look like

[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]

Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.

Answer: The answer is in fact C.

Step-by-step explanation:

I am the lizard king, I can do anything.

Answer:

A

Step-by-step explanation:

sin 32=29.2/x

x=29.2/sin 32

Answer:

[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The multiplicative inverse of number 0 does not exist.

When taking the multiplicative inverse of 0, we get :

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

Read more about product expression at:

https://brainly.com/question/4344214

#SPJ1

Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

       [tex]A = 2(wl + wh + hl)[/tex]

2) Input the corresponding values [tex]l=15 cm[/tex]; [tex]w=22 cm[/tex]; and [tex]h=9 cm[/tex] into the equation, and solve for the area

       [tex]A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}[/tex]

3) ∴ [tex]A=1326cm^2[/tex]

Answer:

49 teachers

Step-by-step explanation:

By proportion, the number of teachers needed is found as follows:

6/102 = x/825 where x is the required number of teachers.

102x = 6*825

x = (6*825)/102

=  48.5

Answer:

Se necesitan 49 profesares

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.

Therefore, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\angle O= 2 × \angle R[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 2 × 28 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 56 \degree[/tex]

I hope that helps ~

Answer:

24 cookies increased by 25% is 30 cookies

step by step explination:

If you want to increase a number by a certain percentage, follow these steps:

1. Divide the number you wish to increase by 100 to find 1% of it.

2. Multiply 1% by your chosen percentage.

3. Add this number to your original number.

4. There you go, you have just added a percentage increase to a number!

The probability is the ratio of the favorable outcome to the total number of outcomes. Then the probability of a pink marble is 33.33%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Joe has a bag with 10 pink marbles and 20 silver marbles.

If he draws a marble from the bag without looking.

Then the probability that it will be a pink marble.

The total number of the event will be

Total event = 20 + 10

Total event = 30

Favorable event = 10

Then the probability will be

P = 10 /30

P = 1/3

P = 0.3333

P = 33.33%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1