Which graph represents this equation?
Y=3/2x^2-6x

Which Graph Represents This Equation?Y=3/2x^2-6x

Answers

Answer 1

The parabola is passing through (0, 0) and (9, 0). Then the correct option is C.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of the parabola is given below.

y = (3/2)x² - 6x

Then the factor of the equation will be

y = 3x (x / 2 - 3)

Then the zeroes of the function will be

y = 0

x = 0, 9

Then the correct option is C.

The graph is given below.

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Which Graph Represents This Equation?Y=3/2x^2-6x

Related Questions



The table list the frozen treats sold at the high school football concession stand by the booster club. The items along with their prices and quantities sold (given by the variables a, b, and c) are shown in the table. The expression 1.75a + 2.25b + 2.75a + 2.25c + 1.75b + 1.25c represents what the booster club sold at the last football game.


Which expression is equivalent to the part of the expression that represents the sold quantities of b and c?

A) 4.00b + 3.50c
B) 7.50 + bc
C) 7.50bc
D) 7.50(b + c)

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Identify the equation in slope-intercept form for the line containing the point (−3,5) and parallel to y=−2/3x+53.

y=−3/2x+5/3

y=−2/3x+5

y=−2/3x+3

y=2/3x+5

Answers

Answer:

y=−2/3x+3

Step-by-step explanation:

I graphed the point and the equation given below. I used the same slope in the new equation as the original equation. The y-intercept is 3 because the line goes through (0,3).

Thus option C :  [tex]y = -\dfrac{2}{3}x + 3[/tex]  is correct.

Given that:

Equation of considered straight line:

[tex]y = -\dfrac{2}{3}x + 53[/tex]

Let the equation of the straight line that has to be found is given by:

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

It is given that the line is parallel to previous straight lines.

Which means  that slope of both the lines are same

or

[tex]m = -\dfrac{2}{3}[/tex]

Now since the second line passes through (-3,5), thus we have:

[tex]5 = -\dfrac{2}{3}\times -3 + c\\or\\c = 3[/tex]

Thus the needed equation of straight line is given by:

[tex]y = -\dfrac{2}{3}x + 3[/tex]

Thus option C :  [tex]y = -\dfrac{2}{3}x + 3[/tex]  is correct.

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Ariana has 2/3 quart of milk. She uses 3/4 of it in a recipe. How much milk did Ariana use in her recipe?

Answers

Answer:

the answer is 1/12

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Activity

Genivieve and Mindy kept a record of how many ounces of water they drank each day. The two box plots represent the data they gathered.


In this activity, you'll use the data in the box plots to determine the medians and interquartile ranges. Then you’ll compare the values to assess the degree of overlap for the two data distributions.


Part A

What is the median amount of water (in ounces) that Genivieve drank per day?

Answers

Answer:

69 ounces of water

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 69 ounces.  

i did the test and got 100% it works :)

1 Pete owed each of his three sisters $10. Which statement accurately represents how much Pete owes in total?

Answers

Answer:

$30 in total.

Step-by-step explanation:

Since he owes 3 people 10 dollars each, you simply need to multiply:

10×3= $30 dollars in total.

Jimena draws a figure with two pairs of parallel opposite sides. The four sides are not all the same length, and the figure has no right angles. Which two figures could she have drawn?

Answers

Answer:

Parallelogram

Step-by-step explanation:

we will solve question using hints given in question

given

There two pairs of parallel opposite sides

1. since there are two pairs of  it means there 4 sides so the figure is quadrilateral

there are six possible types of quadrilateral possible

rectangle, square, rhombus, parallelogram,  kite or any irregular quadrilateral which has not any standard defined shape

2 . It is given that opposite sides are parallel

there are four such quadrilateral which have opposite side parallel

rectangle, square, rhombus, parallelogram

Thus these are possible figures

3. Four sides are not all the same length

Since square and rhombus have all the sides of same length thus we omit these probable figure

hence  probable figure left are

rectangle, parallelogram

4. figure has no right angles

since rectangle has right angle so it will also be omitted from the probable figure

Hence only probable figure left is parallelogram.

Parallelogram  is a quadrilateral with two two pairs of parallel opposite sides

and satisfying the above condition of

1. The four sides of not the same length

2. no right angles

How long will it take for $2100 to grow to $47200 at an interest rate of 4.5% if the interest is compounded continuously? Round the number of years to the nearest
hundredth

Answers

hi,  

you have  then :   2100 * 1.045 ^n  = 47 200

                                         1.045^n = 47200 /2100

                                          1.045^n = 472/21

                                                    n =  ln ( 472/21 )  / ln ( 1.045)

                                                    n ≈71 years

let's check :   2100 *1.045^70 = 45746,68   and  2100 *1.045^71 = 47805.28

what are 3 words that describe the volume of rectangular prisms

Answers

Answer:

length*width*height?

Step-by-step explanation:

Tenho a seguinte escolha: ou compro 20 unidades de um produto com todo o dinheiro que tenho, ou compro apenas 14 unidades e ainda me sobra um troco de R$ 30,00. Qual o valor unitário deste produto?

Answers

Answer: The price for the product is R$5.

Step-by-step explanation: Suppose the unit price of the product is X.

T is all the money I have.

In the first option, 20 units spend all my money, so:

T = 20x

In the second option, if I buy 14 of it, I have a remaining of R$30, so:

T = 14.x + 30

To determine the unit valor:

20x = 14x + 30

20x - 14x = 30

x = [tex]\frac{30}{6}[/tex]

x = 5

The product costs R$5.

Answer:

O valor unitário deste produto é de R$ 5.

Step-by-step explanation:

Ao comprar 14 unidades do produto, restam 30 Reais, ao comprar 20 unidades, não resta dinheiro, podemos afirmar que para comprar 6 unidades são necessários 30 Reais.

Portanto, para determinar o valor unitário do produto, devemos dividir os 30 Reais da troco pelas 6 unidades que não foram compradas.

Portanto, como 30/6 resulta em 5, esse é o valor unitário do produto. Cada produto vale 5 Reais.

The length of a rectangle is 5m longer than the width. If the perimeter of the rectangle is 58 m, find its length and width

Answers

Answer:

L = 17 m W = 12 m

Step-by-step explanation:

Here is the answer.

The width of the rectangle is 12 meters, and the length is 17 meters, obtained by setting up equations based on the perimeter and the given relationship between length and width.

To find the length and width of the rectangle, we need to set up equations based on the given information. The question states that the length is 5m longer than the width, and the perimeter is 58m. Let's denote the width as w and the length as l. According to the problem, l = w + 5m.

The formula for the perimeter P of a rectangle is P = 2l + 2w. We can substitute the expression for the length into this formula:

P = 2(w + 5m) + 2w

Since we know the perimeter is 58m:

58m = 2(w + 5m) + 2w

58m = 2w + 10m + 2w

58m = 4w + 10m

48m = 4w

w = 12m

Now we can find the length:

l = w + 5m

l = 12m + 5m

l = 17m

The width of the rectangle is 12 meters and the length is 17 meters.

Ben has some tiles. Each tile is the shape of a parallelogram. 6cm at the top and 10cm on the side He places the tiles in a row to make a shape with area 720cm2. How many tiles does he use?

Answers

Answer:

12 tiles

Step-by-step explanation:

First we need to find the area of the parallelogram, which can be found by the product of the two dimensions.

If the parallelogram has 6 cm and 10 cm, the area is 6 * 10 = 60 cm2

Then to find how many tiles are needed to fill the area of 720 cm2. we can do a rule of three:

1 tile -> 60 cm2

x tiles -> 720 cm2

x = 720 / 60 = 12 tiles

4x-12y= 13
32y+14x=13

Answers

Answer:

(143/74, -65/148)

Step-by-step explanation:

We have the equations:

4x - 12y = 13

14x + 32y = 13

Let's use elimination, so multiply the first equation by 8 and the second equation by 3:

8 * (4x - 12y = 13)  ⇒  32x - 96y = 104

3 * (14x + 32y = 13)  ⇒  42x + 96y = 39

Add those two equations:

    32x - 96y = 104

+   42x + 96y = 39

________________

    74x  +  0y  =  143

Divide both sides by 74:

x = 143/74

Plug this into an equation to find y:

4x - 12y = 13

4 * (143/74) - 12y = 13

12y = 572/74 - 13 = -390/74

y = -65/148

The answer is (143/74, -65/148).

Answer:

x = 143/74

y = -65/148

Step-by-step explanation:

4x-12y= 13

4x = 13 + 12y

x = 13/4 + 3y

32y+14x=13

32y + 14(13/4 + 3y) = 13

32y + 91/2 + 42y = 13

74y = 13 - 91/2

74y = -65/2

y = -65/148

x = 13/4 + 3(-65/148)

x = 143/74

x = 143/74

y = -65/148

-74 to the nearest integer​

Answers

Answer: 0.0

Step-by-step explanation:

The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?

Answers

Answer:

y = -6 * x^3

Step-by-step explanation:

We can model the new function as:

f(x) = ax^3

the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.

As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.

Then, for x=1 we have y = -6, so:

-6 = a*1^3

a = -6

So the equation of the transformed function is:

y = -6 * x^3

A college student needs 15 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 3-credit classes and 2-credit classes. How many 2-credit classes and 3-credit classes can the student take?

Answers

12 three credit classes and two 2 credits

The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Let's say the number of 2-credit classes is x while 3-credit classes are y.

Total classes, x + y = 15

Total credit 2x + 3y = 40

Solving both equations,

2(15 - y) + 3y = 40

30 - 2y + 3y = 40

30 + y = 40

y = 10

So, x = 15 - 10 = 5

Hence "The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively".

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the term to term rule is divide by 2 the third term of the sequence is 3 work out the first term

Answers

Answer:

12

Step-by-step explanation:

if the term to term rule is to divide by two and the third term in the sequence is 3, you work backwards by multiplying by 2

So 3x2=6

6x2= 12

Thus the first number is 12.

working forward again, you can check your answer. Divide 12 by 2, then divide 6 by 2 and you get 3, the third term if the sequence

The first term of the sequence will be 12.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The term to term rule is divide by 2 the third term of the sequence is 3.

Now,

Since, The term to term rule is divide by 2 the third term of the sequence is 3.

So, We get the second number by multiply the 2 in the third number 3.

Second number = 2 x 3

                         = 6

And, We get the first number by multiply the 2 in the second number 3.

So, First number = 6 x 2

                          = 12

Thus, The first term of the sequence will be 12.

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The original price of a computer game is $45. The price is marked down by $18. What percent of the original price is the markdown?

Answers

Answer:

60%

Step-by-step explanation:

To know the discount, we must know how much that $ 18 represents of the original price, as follows:

18/45 = 0.4

That is, $ 18 is 40% of $ 45

Therefore, to calculate the discount we must subtract what represents 45%, that is, 100%

100% - 40% = 60%

In other words, the discount is 60%

Answer:

60

Step-by-step explanation:

Whoever answers 18 get brainliest and 10 points!!! U have to find the area

Answers

Answer:

Brainliest

Step-by-step explanation:

A = 4.5

Area of triangle = Base(height)1/2

(3)(3)1/2 = 4.5

Answer:

4.5

Step-by-step explanation:

base(height)(1/2) = 3 x 3 x 1/2 = 4.5

Find the volume of a pyramid with a square base, where the side length of the base is 6.6\text{ in}6.6 in and the height of the pyramid is 7.7\text{ in}7.7 in. Round your answer to the nearest tenth of a cubic inch.

Answers

The correct answer is:

The volume of the pyramid is approximately 111.5 cubic inches, rounded to the nearest tenth of a cubic inch.

To find the volume of a pyramid, we can use the formula:

[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

Given:

- Side length of the square base = 6.6 inches

- Height of the pyramid = 7.7 inches

First, let's find the area of the square base:

[tex]\[ \text{Area of square base} = \text{Side length}^2 \]\[ = 6.6^2 \]\[ = 43.56 \text{ square inches} \][/tex]

Now, substitute the values into the formula for the volume of a pyramid:

[tex]\[ \text{Volume} = \frac{1}{3} \times 43.56 \times 7.7 \]\[ \text{Volume} = \frac{1}{3} \times 334.632 \]\[ \text{Volume} = 111.544 \text{ cubic inches} \][/tex]

Rounding to the nearest tenth, the volume of the pyramid is approximately [tex]\( \boxed{111.5} \)[/tex] cubic inches.

The volume of the square-based pyramid is calculated using the formula for the volume of a pyramid, resulting in approximately 111.8 cubic inches after rounding to the nearest tenth.

The volume of a pyramid with a square base is calculated using the formula V = (1/3) x base area x height. First, calculate the base area, which is the side length squared. In this case, the base area is:

6.6 in x 6.6 in = 43.56 in²

Then, multiply the base area by the height and divide by 3 to find the volume:

V = (1/3) x 43.56 in² x 7.7 in
= 43.56 in² x 2.566 in
= 111.804 in³, which rounds to 111.8 in³ to the nearest tenth.

Therefore, the volume of the square-based pyramid is 111.8 in³.

write a quadratic function f whose zeros are 10 and 2

Answers

Answer:

f(x) = x^2 - 12x + 20

Step-by-step explanation:

If 10 and 2 are zeros, then (x - 10) and (x - 2) are factors of the quadratic.

Multiplying these factors together, we get

f(x) = x^2 - 12x + 20

Final answer:

The quadratic function with zeros at 10 and 2 is f(x) = (x - 10)(x - 2) which simplifies to f(x) = x² - 12x + 20.

Explanation:

Given that the zeros of a quadratic function are 10 and 2, we can write the function as f(x) = a(x - 10)(x - 2). Here, a is a non-zero coefficient. For simplicity, we can choose a as 1. This gives us the function as f(x) = (x - 10)(x - 2).

Expanding this gives us: f(x) = x² - 12x + 20.

This function represents a quadratic equation that zeros at x = 10 and x = 2. Such a function can be represented on a graph with f(x) and x as axes. The roots, 10 and 2, will be the x-coordinates at which the graph intersects the x-axis.

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select the equation of a line that is parallel to the line 4y=3x+5​

Answers

Answer: y=3/4x+5/4

Step-by-step explanation: First you simplify, so you divide 4 by everything and you get y=3/4x+5/4

Answer:

4y=3x-1

y=3/4x-5/4

Step-by-step explanation:

If a line is parallel to another, the gradient remains the same. So (if you have multiple choice answers), you can rule out the ones without a gradient of 3.

From there, you can either draw or visualise the y-intercept. Do this until you have found the line which is parallel to 4y=3x+1. Hope that made sense :)

Class 10R sat a test The mean mark for the class was 70% there are 30 students in class 10R, 20 of whom are boys the mean mark for the boys in the test was 62% work out the mean marks for the girls

Answers

Answer:

86

Step-by-step explanation:

Given that there are 30 students in class 10R and the mean marks for the entire class was 70%. Therefore, total mark of class = 70 x 30 = 2100

Given that there are 20 boys in the class and the mean marks for the boys was 62 %. Therefore, total mark of boys = 62 x 20 = 1240

To calculate the mean mark for the girls we need to find the total number of girl and total mark of girls. total number of girl = 30 - 20 (boys) = 10 total mark of girls = total mark of class -  total mark of boys = 2100 - 1240 = 860 mean mark for girls = 860 / 10 = 86

Geometry: BTS 2019; Chapter 4; Section 4.5; Exercises 1 - 57; Question 4
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
I can't get the image but the original is 9 and the new is 24

Answers

Answer:

it is an enlargement ( I know) and the scale factor is 2.6 (I think. I can't do it without the image)

Step-by-step explanation:

Answer:

C The dilation is a reduction.

Step-by-step explanation:

Which statement about these rectangles is true?

A rectangle pre-image has a length of 4 and width of 2. A rectangle image has a length of 4 (1.5) and width of 2 (1.5).

How do you write 13/20 as a decimal? ( Hint: Find the factor that will make the denominator 100 and multiply that factor to the given numerator and change it to decimal form.)

Answers

Answer:

0.65

Step-by-step explanation:

To get 13/20 to a decimal, the denominator needs to be multiplied by 5 to make it 100. If you multiply the denominator, you also have the multiply the numerator to make it equal. 13 x 5 is 65. The fraction is 65/100, which is 0.65 in decimal form.

13/20 as a decimal is 0.65.

To write 13/20 as a decimal, you can follow the hint provided.

First, we need to find a factor that will make the denominator 100. In this case, multiplying the denominator by 5 will give us 100.

So, we need to multiply both the numerator and the denominator of 13/20 by 5:

13/20 x 5/5 = 65/100

Now, we have 65/100 as the fraction.

To convert it to decimal form, divide the numerator by the denominator:

65 ÷ 100 = 0.65

Therefore, 13/20 as a decimal is 0.65.

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You are given information about the amount of each online purchase from a department store website before shipping charges are applied. Find the mean, nledian, mode, range and standard

deviation after a $10 shipping charge is added to each purchase.

Mean: $45.23

Median: $42.31

Mode: $17.49

Range: $347.05

Standard Deviation: $7.57

Answers

Answer:

1. 55.23   2. 52.31   3. 27.49   4. 347.05   5. 7.57

Step-by-step explanation:

Pretty self explanatory when viewing my answers, there is no trick question within this problem, you simply add 10 to the first 3 numbers, but leave the range and standard deviation the same.

Mean = $55.23

Median = $52.31

Mode = $27.49

Range = $347.05

Standard Deviation = $7.57

What are measures Central Tendency?

Mean: The mean represents the average value of the dataset.

Median: Median is the middle value of the dataset in which the dataset is arranged in the ascending order or in descending order.

Mode: The mode represents the frequently occurring value in the dataset.

Range: Range is the difference between the largest and smallest value in the data set

Standard Deviation: Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists.

Given, information about online purchases:

Mean = $45.23

Median = $42.31

Mode = $17.49

Range = $347.05

Standard Deviation = $7.57

After adding Shipping Charge of $10 to each purchase:

Since $10 is added to each value then,

New Mean = (∑x + n($10) )/n = ∑x/n + n ($10)/n

New Mean = $45.23 + 10

New Mean = $55.23

To find median, $10 will be added to the value of median.

New Median = $42.31 + $10

New Median = $52.31

To find mode, $10 will be added to the value of mode.

New Mode = $17.49 + $10

New Mode = $27.49

Range and Standard Deviation don't change if we add same value to each data point, It will remain same.

New Range = $347.05

New Standard Deviation = $7.57

Hence, the new mean, new median and new mode are $10 increased than the original ones, there is no change in value of range and standard deviation.

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Find the radius of a circle with an area of 562 in2. Round your answer to the nearest
inch.​

Answers

Answer:

If the area of a circle is 562 in², then the radius of the circle is about 13 inches long.

Step-by-step explanation:

[tex]A = r^2\pi[/tex]

[tex]r = \sqrt{\frac{A}{\pi } }[/tex]

[tex]r = \sqrt{\frac{562}{\pi } }[/tex]

[tex]r = \sqrt{179}[/tex]

[tex]r[/tex] ≈ [tex]13[/tex]

Answer:

13 inches

Step-by-step explanation:

The area of a circle is given by the equation A = πr²

To solve for r, we must first divide both sides by π to get [tex]\frac{A}{\pi }=r^{2}[/tex]

We must then take the square root of both sides to get r by itself

Doing so, we get [tex]r=\sqrt{\frac{A}{\pi } }[/tex]

Now plugging in our values that we have we can solve for r:

[tex]r=\sqrt{\frac{562}{\pi } }=13.37[/tex] and rounding to the nearest inch gives us 13 inches

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

Answers

Answer:

[tex]\frac{x+5}{x+3}[/tex]

Step-by-step explanation:

hope this helps!

Answer:

C - 5/y+5

Step-by-step explanation:

edge 2020

A jar contains 4 red marbles, 3 green marbles, and 2 blue marbles. If a marble is drawn at random, what is the probability that it is not green?

Answers

Answer:

6/9

Step-by-step explanation:

The probability of drawing a marble that is not green from a jar with 4 red, 3 green, and 2 blue marbles is 2/3 or 66.67%.

To find the probability of drawing a non-green marble from a jar containing red, green, and blue marbles, calculate the ratio of non-green marbles to the total marbles

Calculate the total number of marbles: 4 (red) + 3 (green) + 2 (blue) = 9 marbles in total.

The probability of drawing a non-green marble = [tex]\frac{(4~ red ~marbles + 2 ~blue ~marbles) }{9~ total ~marbles.}\\\frac{6}{9}[/tex]

Therefore, the probability of drawing a non-green marble is 6/9 or 2/3 (or approximately 0.67).

Complete the steps to factor 2x^2 + 6x + 5x + 15 by grouping. What is there greatest common factor of Group 2

Answers

Answer: [tex](2x+5)(x+3)[/tex]

Step-by-step explanation:

[tex](2x^2+6x)+(5x+15)\\2x(x+3)+5(x+3)\\(2x+5)(x+3)[/tex]

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

2. What is an equation of the line that has slope -4 and passes through the point (-2,-5)?

Answers


Slope = m
y-5 = m(x+2)
the answer is y=-4x-13. first you need to find b (the y-intercept). to do that you plug in the values to y=mx+b so it is -5=-4(-2)+b. when you solve for b you get -13. then you write y=mx+bas you normally would so you would get y=-4x-13. hope this helped :)
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