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Lera25 [3.4K]
3 years ago
15

Graph the line with slope 1/3 and y-intercept -2.

Mathematics
1 answer:
OLga [1]3 years ago
7 0

Step-by-step explanation:

the answer is the image above

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seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

f(-3) =9-18-7

f(-3) =-16

Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for x and x> 1

The correct answers are:

Second option

Third option

Fourth option

7 0
3 years ago
If 9999 = 4, 8888 = 8, 1816 = 6, 1212 = 0, then 1919 =?
Morgarella [4.7K]

Answer:

1919=0+1+0+1=2

Step-by-step explanation:

4 0
3 years ago
If y=a sin 3x+ b cos 3x and <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7D%20y%20%7D%7Bdx%5E%7B2%7D%20%7D" id="TexFormu
Black_prince [1.1K]

Step-by-step explanation:

You have to do first and second derivatives :

y = a sin 3x + b cos 3x

dy/dx = 3a cos 3x - 3b sin 3x

d²y/dx² = - 9a sin 3x - 9b cos 3x

Next, you have to compare it :

let d²y/dx² = ky,

-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)

-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)

Therefore, k is equals to 9.

3 0
3 years ago
I need help!
timama [110]
Fractions,rats, and percents all interconnect. For ext,50%=11/2 =1:2
6 0
3 years ago
Read 2 more answers
Mr. Chen filled a wading pool with 20 gallons of water. How many pints of water did he put in a pool
eduard

Answer:

160 pints

Step-by-step explanation:

Every 1 gallon = 8 pints.

20x8=160

8 0
3 years ago
Read 2 more answers
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