How do you do 9 3/11

Write your answers on notebook paper. Show your work. 1. Given f(x) = x2 − 4x + 5, find each value. a. f(2) b. f(−6) 2. Find the

Assoli18 [71]

Answer: please find the answer in the explanation

Step-by-step explanation:

Given f(x) = x2 − 4x + 5,

To find each value. a. f(2) b. f(−6) , substitute x for each value

A.) F(2) = 2^2 - 4(2) + 5

F(2) = 4 - 8 + 5 = 1

B.) F(-6) = (-6)^2 - 4(-6) + 5

F(-6) = 36 + 24 + 5 = 65

2.) Find the slope and y-intercept.

a. y = 3x − 4

Slope = 3 and intercept = -4

b. 4x − 5y = 15

First rearrange

-5y = -4x + 15

Y = 4/5 x - 3

Slope = 4/5 and intercept = 3

4. Write an equation for each line. a. line with slope 3 and y-intercept −2 b. line passing through (2, 5) and (−4, 1)

Given that x = 2 and y = 5

3 = (y - 5)/( x - 2)

Cross multiply

3x - 6 = y - 5

Y = 3x - 1

Also, given that x = -4 and y = 1

Repeat the same process

3 = (y - 1)/(x + 4)

3x + 12 = y - 1

Y = 3x + 13

5. Write the equation of the line below. A line with a y-intercept of 6 and a slope of negative 1 is graphed on a 4 quadrant coordinate grid.

The equation will be:

Y = -x - 6

6. Using the whole number 5, define the additive inverse and the multiplicative inverse.

Additive inverse of 5 = -5

Multiplicative inverse of 5 = 1/5

7. Solve 3(x + 2) + 4 = 5x + 7.

Open the bracket

3x + 10 = 5x + 7

Collect the like terms

2x = 3

X = 3/2

8. What is the absolute value of 2 and of −2? Explain your response.

Absolute value of any number is always positive. The answer to both questions is 2

11. Find the domain and range of each relation. a. y = 2x + 1

Domain: x = all real numbers

Range: y = all real numbers

b. input 3 7 11 output −1 −3 −5 c. d. Graph of a function, shaped like a curve, with a vertex on y = negative 4, on a 4 quadrant coordinate grid. 12. How many lines of symmetry exist in the figure shown in Item 11c?

7 0

4 years ago

PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6

Burka [1]

Answer:

z = 6

Step-by-step explanation:

We know that ...

sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

90 -(9z -1) = 6z +1

90 = 15z . . . . . . . . . add (9z-1) to both sides

6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

sin(x) = cos(90 +360k -x) . . . . . for any integer k

Then the above equation becomes ...

90 +360k = 15z

6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

sin(x) = cos(x -90)

sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

z = 30 2/3

6 0

3 years ago

DOES ANYONE KNOW HOW TO DO THESE???

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

7. The horizontal translation is 3 units to the right, this is determined by the value that is being added or subtracted to x directly. In this case, x is being subtracted by 3 meaning that it is translated 3 units to the right.

8. It is being translated 2 units up. This is determined by the number that is added to the quadratic equation. In this case, it is increased by 2 which means an upward translation. If it was being subtracted it would be a downward translation.

9. Yes, when a quadratic equation has a negative sign outside of it which changes its values it means that it is being reflected.

6 0

3 years ago

Given the following 2 points, what is the equation of this line in y=mx+b form. (1, 3) and ( -3, - 5)

Airida [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

7/8 decided by 3/8 I will give you crown

Firlakuza [10]

Answer: it is 2 1/3

Step-by-step explanation:

8 0

3 years ago

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How do you do 9 3/11 - 1 4/7