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3 years ago

Identify the set of numbers that best describes each situation. Explain your choice.

1 answer:

5 0

This would be the set of rational numbers.

When dealing with money, we deal with parts of dollars, written as decimals. Decimals can be written as fractions, so these are rational numbers.

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How do you work out 4/5 of 25/32 as fraction

Sphinxa [80]

$\frac{4}{5}*\frac{25}{32}=\frac{1}{1}*\frac{5}{8}\to\boxed{\frac{5}{8}}$

4 0

3 years ago

Joe purchased a tray of 48 petunias to plant in his garden. The graph shows points representing the number of flowers left to pl

Dovator [93]

From the graph, we can say that the system can be represented by a linear function. A linear function has a standard form of:

y = mx + b where m is the slope and b is the y-intercept.

From the image, b would have a value of 48. The slope can be calculated as follows:

slope = ( 48 - 36 ) / (0 - 1) = -12

The equation can be written as:

y = -12x +48
or
12x + y = 48

6 0

4 years ago

Read 2 more answers

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?

krok68 [10]

$y = \frac{1}{24} x^{2}$

<u>Step-by-step explanation:</u>

Since directrix is a horizontal line, this is a regular vertical parabola, where the x part is squared. The equation of a vertical parabola is:

(x - h)² = 4p(y - k)

where,

(h,k) are the coordinates of the vertex

p = distance from the vertex to the focus

So, we need to find out h, k and p and plug those values :

We know that the vertex of a parabola is halfway between focus and the directrix . We know the focus (0,4) and directrix y = 6 therefore, vertex (h,k) = (0, 0)

Now, p = distance from the vertex to the focus

= distance from the (0,0) to the (0,4)

= 4

Plug all the values in equation:

$(x-0)^{2} = 4(4)(y-0)\\x^{2} = 24y$

Now, we rearrange to write this into standard form (y = $ax^{2}+bx+c$ )

or, $y = \frac{1}{24} x^{2}$

7 0

3 years ago

Solve x^2=23. Use a radical sign in each answer.

NeTakaya

work shown in image.

3 0

3 years ago

Find x<br><br> May I please receive help?

NikAS [45]

Answer:

x = 63°

Step-by-step explanation:

See the attachment

The measure of the angles in a triangle = 180 . If the sides of a triangle are congruent, then the base angles are equal. So in the triangle with the 72°, you have another angles = 72°. Looking at the same triangle, 72° + 72° + part of the right angle = 180°. Do the math! 72° + 72° = 140°; 180° -144° = 36° (this is the measure of the piece of the right angle that is in the triangle with the 72° angle.. So the other part of the 90°(right angle) = 90° - 36° = 54°.

Now to solve for x: You know that if the sides are congruent in a triangle, then the base angles are equal. Thus this triangle angles are x, x, and 54°.

You know that a triangle = 180°, so x + x + 54° = 180°; 2x +54° = 180°; 2x = 126°; x = 63°

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6 0

3 years ago

Read 2 more answers