All categories

3 years ago

Simplify the expression: 10+-2f^2+-6+7+-2f^2+-9f

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

$10+-2f^2+-6+7+-2f^2+-9f = 10-2f^2 -6+7-2f^2 -9f \\\\= -2f^2 -2f^2 -9f+10-6+7= \boxed {-4f^2 -9f +11}$

You might be interested in

Janet wins the lottery and receives $100 the first year. In the following years, she receives $50 more each year. (That is, Jane

Brilliant_brown [7]

The correct answer is B) $3,250, because if you add up the numbers consecutively you get that.

4 0

4 years ago

the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

Step 1 :-

Perpendicular condition :-

Step 1:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

Step 2:-

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

Step 3:-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

Final answer is

$k= \frac{-34}{3}$

8 0

3 years ago

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range=

FinnZ [79.3K]

A is false but R is true (the mean of the last 3 values is not 8 since x=7)

6 0

3 years ago

Use the given graph. Determine the period of the function.

Serhud [2]

The answer is 3.

A period is the length that it takes the graph to repeat in behavior. You'll notice that every 3 units, it hits the axis and repeats the same pattern.

6 0

3 years ago

Read 2 more answers

There are 6 white and 3 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen. Enter your answers as fracti

Masteriza [31]

Answer:

a. 9

b. $\mathbf{\frac{1}{3}}$

c. $\mathbf{\frac{1}{4}}$

d. $\mathbf{\frac{1}{12}}$

Step-by-step explanation:

a. The total number of balls in the bag is

$6 + 3 = 9$

b. Let A denote the event that the 1st chosen ball is orange. Let B denote the event that the 2nd chosen ball is orange.

$P(A) = \frac{\text{no. of orange balls in the bag}}{\text{Total no. of balls}} = \frac{3}{9} = \mathbf{\frac{1}{3}}$

c. If the first choice is orange, (i.e A occurs) then there are 9 - 1 = 8 balls left in the bag with 3 - 1 = 2 orange balls.

$P(B|A) = \frac{2}{8} = \mathbf{\frac{1}{4}}$

d. Here we are required to compute $P(B \cap A)$ . We use the fact that

$P(B|A) = \frac{P(B \cap A)}{P(A)} \implies P(B \cap A) = P(B | A) \times P(A) = \frac{1}{4} \times \frac{1}{3} = \mathbf{\frac{1}{12}}$

4 0

4 years ago