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4 years ago

Explain the difference between a function and a one-to-one function.

1 answer:

8 0

A function for which every element of the range of the function corresponds to exactly one element of the domain. ... Note: y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test.

A one-to-one function is a function in which the answers never repeat.

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What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val

Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = $\dfrac{d-b}{c-a}$

Then, the slope of the line that passes through (2, 12) and (4, 20) = $\dfrac{20-12}{4-2}$

$=\dfrac{8}{2}=4$

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

$2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9$

By comparison, c= 9

Hence, the value of the y-intercept is 9.

4 0

3 years ago

Please help don’t get it

posledela

Answer:

Step-by-step explanation:

Whenever you are asked to find the number of square feet covered by something, you are finding an area. To find the area of Jason’s circle, you first need to figure out if you have been given the radius or the diameter. By definition, the diameter of a circle is the longest distance across the circle, so we know here that the diameter is 8 feet. This means that the radius is 4 feet. So...

A = π(4)2

= 16π

≈ 50.2 square feet

So, Jason’s circle will cover about 50.2 square feet of his wall (and B is the closest one to that)

5 0

4 years ago

Graph f(x) = -x + 6.<br> Click on the graph until the graph of f(x) = -x + 6 appears.<br> YA<br> r

a_sh-v [17]

Answer:

The one that is 0,-3 and 3,0

Step-by-step explanation:

6 0

2 years ago

When is 9+10 really equal to 21

schepotkina [342]

Answer:

9 + 10 = 21

Step-by-step explanation:

9 + 10 = 21

Factor out 9 and 10

9 = 3 · 3 10 = 2 · 5

Next multiply 3 by 2

3 × 2 = 6

Then multiply 3 by 5

3 · 5 = 15

Finally add the products

15 + 6 = 21

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28

Nataliya [291]

Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
$5y\sin t=\dfrac13\sin^3t+C$
$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
$C=\dfrac{134}{15}$

so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

6 0

3 years ago