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3 years ago

What is the ratio of the number of cherry slices to the number of orange slices in the medium size bag of candy?

Mathematics

1 answer:

Temka [501]3 years ago

5 0

Answer:

Step-by-step explanation:

There are 10 cherry slices and 40 orange slices in the medium bag. So, 10 to 40 simplifies to a ratio of 1 to 4.

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Write y=x^2+24x+124 in vertex form. step by step

soldi70 [24.7K]

Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex of the curve.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

now we have

y = x² + 24x + 124

and we can compare

ax² = x²

a = 1

-2ahx = -2hx = 24x

-2h = 24

h = 24/-2 = -12

ah² + k = 124

(-12)² + k = 124

144 + k = 124

k = -20

so, the vertex form is

y = (x + 12)² - 20

3 0

2 years ago

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x? f(x) = (x – 1)2 + 3 f(x) = (x – 1)2 + 5 f(x) = (x + 1)2 + 3 f

melamori03 [73]

Answer: First Option

$f (x) = (x-1) ^ 2 + 3$

Step-by-step explanation:

Quadratic quadratic functions have the following form:

$f (x) = (x-h) ^ 2 + k$

Where the point (h, k) is the vertex of the function.

For a quadratic function of the form $f (x) = ax ^ 2 + bx + c$ the vertex of the function is at the point $(-\frac{b}{2a}, f(\frac{-b}{2a}))$

In this case the function is: $f(x) = 4 + x^2 - 2x\\\\f(x)=x^2 -2x +4$

Then:

$a=1\\b=-2\\c=4$

The vertex is:

$(-\frac{(-2)}{2(1)}, f(\frac{2}{2(1)}))$

$(1, f(1))$

Note that

$f(1) = (1)^2 -2(1) +4\\\\f(1)=1-2+4=3$

Therefore the vertex is the point $(1, 3)$

Finally we have that $h=1,\ k=3$

The function in vertex form is :

$f (x) = (x-1) ^ 2 + 3$

7 0

3 years ago

5) What does it mean if a system of equations has infinite solutions? *

sweet-ann [11.9K]

Answer:

The system has parallel lines

4 0

3 years ago

Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.

eimsori [14]

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

4 0

2 years ago

Can somebody help me ?

olga2289 [7]

It’s strong, positive correlation

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2 years ago

Read 2 more answers