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2 years ago

The coach of a college basketball team categorizes the number of points

1 answer:

8 0

A graph is a way to represent a lot of data in a visual format. thus the number of games in the category 51-57 are 3.

<h3>What is a graph?</h3>

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. the line of the graph is a function that follows the graph.

The categories and the data points can be arranged as;

51 - 57 = 51, 56, 55

58 - 64 = 63, 59, 60, 64

65 – 71 = 70, 67

72 or more = 75

Therefore, the number of games in the category 51-57 are 3.

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A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units. What is

Luba_88 [7]

We know that
<span>the garden's perimeter is 112 =[(x+4)+(x+4)+(x+4)+(x+4)]

112=4*[x+4]------------ > 112/4=x+4
x=(112/4)-4=28-4=24 units

the answer is x=24 units</span>

8 0

4 years ago

What is the area of rectangle ABCD?

kotegsom [21]

The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,

Area = 4 units × 3 units = 12 units²

Hence, the area of the rectangle is 12 units². Thus, the correct option is A.

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3 0

2 years ago

3x + 5y + 7x - 3y<br> Simplify

sweet-ann [11.9K]

Combine like terms so you end up with 10x+2y

4 0

4 years ago

What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

satela [25.4K]

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

If $y = 2\cdot x + 3$ is a line <em>tangent</em> to the parabola $y = c\cdot x^{2}$ , then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

$2\cdot c \cdot x = 2$ (1)

Then, we have the following system of equations:

$y = 2\cdot x + 3$ (1)

$y = c\cdot x^{2}$ (2)

$c\cdot x = 1$ (3)

Whose solution is shown below:

By (3):

$c =\frac{1}{x}$

(3) in (2):

$y = x$ (4)

(4) in (1):

$y = -3$

$x = -3$

$c = -\frac{1}{3}$

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0

3 years ago

A city starts with a population of 500,000 people in 2007. Its population declines according to the equation

hjlf

Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

$P(t) = 500,000e^{ -0.099t}$ , where P is the population in t years later.

One-half the initial amount = 0.5 x 500,000

= 250,000

Put P(t)=250,000, we get

$250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7$

Hence, After 7 years the population will be one-half the initial amount.

5 0

3 years ago