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3 years ago

8

Write a division that represents the question: how many 3/8s are in 5/4?

1 answer:

Goryan [66]3 years ago

8 0

Answer:

Think your answer is 3 1/4

You might be interested in

Use multiplication to find 2 equivalent fractions to 3/4 and 4/5

Gre4nikov [31]

3/4 = 6/8 = 9/12
4/5 = 8/10 = 12/15

8 0

3 years ago

Read 2 more answers

a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

nlexa [21]

Answer:

The standard equation of the parabola is:

$y=-\frac{3}{2}x^2+12x-18$

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2$

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

$y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}$

Then the equation of the parabola becomes:

$y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18$

7 0

3 years ago

Find the line y=a+bx which best approximates the data points

Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x -3 -1 1 2 4

y -70 -42 -21 -9 14

By the above table,

$\sum x=3$

$\sum y=-128$

$\sum xy = 269$

$\sum x^2=31$

$\sum y^2 = 7382$

Let the equation of the line is,

y = bx + a

Where,

$a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}$

$b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}$

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0

2 years ago

Suppose we have 14 boxes of pastries (each box of a different flavor), each with a scone and a muffin inside. For example, one b

Alexeev081 [22]

Answer:

5 muffin and 9 scones is 14

6 0

2 years ago

A line contains the points (4,5) and (3, -9). Write the equation of the line using point-slope form.

neonofarm [45]

Answer:

C

Step-by-step explanation:

original formula is: y - y1 = m (x - x1) ordinates= (x1, y1)

insert the a corresponding x and y coordinate:

y + 3 = -2 (x + 9)

Don't forget to change the signs depending on whether their positive or negative:

(3, -9) since 3 is positive but there is a minus in the formula it would be -3

since -9 is negative and in the equation there's a minus sign you would change it to positive. (negative times a negative equals a positive)

3 0

3 years ago