if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?

Answers

Answer 1

Answer:

[tex](p - q)(x) = (x -1) (x - 4)[/tex]

Step-by-step explanation:

Given

[tex]p(x) = x^2 - 1[/tex]

[tex]q(x) = 5(x - 1)[/tex]

Required

(p - q)(x)

This is represented as:

[tex](p - q)(x) = p(x) - q(x)[/tex]

[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]

[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]

Collec like terms

[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]

[tex](p - q)(x) = x^2 - 5x + 4[/tex]

Expand

[tex](p - q)(x) = x^2 -4x - x + 4[/tex]

Factorize

[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]

[tex](p - q)(x) = (x -1) (x - 4)[/tex]


Related Questions

Here are two similar rectangles.
1 cm
2 cm
4 cm
Work out the area of the larger rectangle.

Answers

Missing number I think///

Answer:

40.32

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8

=40.32

what is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high

Answers

To find the volume of something just multiply the Length times Width times Height so, 14x7x10 = 980

The volume of the box will be → 980 square inches.

What is the volume of a cuboid?

The volume of cuboid is found using the formula:

Volume = Length × Width × Height

Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.

The volume of the box will be→

V= L x B x H

V= 14 x 7 x 10

v = 140 x 7

V= 980 square inches

Therefore, the volume of the box will be → 980 square inches

To solve more questions on cuboid, visit the link below-

https://brainly.com/question/23118276

#SPJ2

what is a equivalent expressions 3(6x+4)

Answers

Answer: 18x + 12

Step-by-step explanation:

3 ( 6x + 4 )

3 x 6x = 18x

3 x 4 = 12

18x + 12

What is the answer for this 5c + 9 -2c -7

Answers

Step-by-step explanation:

Given

5c + 9 - 2c - 7

= 3c + 2

Hope it will help :)❤

please help if you do thanks :) question 2

Answers

Answer:

When we have a random function like:

y = f(x)

If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.

For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)

Something similar happens when we have a square root, remember that:

√x

Is a complex number if x < 0.

Then if we have a function like:

y = √x

The domain will be the set of all reals such that x ≥ 0.

Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.

For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.

Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:

m ≤ Y ≤ M

if not, then the range is the set of all real numbers.

42/2 +9=???

what is the answer and how do you find the answer?!

Answers

42/2 is 21 then add 9 you’d get 30 as your final solution.

Solve the proportion

Answers

To solve this, you need to cross multiply the fractions.

Let’s say you have these fractions:
A / B = C / D

To cross multiply, multiply the denominator of the first fraction (B) by the numerator of the second fraction (C). Multiply the numerator of the first fraction (A) by the denominator of the second fraction (D).

You get B x C = A x D

After cross multiplying your fractions, you get 63 = 7(c +4)

Distributing the 7 into c+4 gives you this:
63 = 7c + 28

Now solve this like a normal equation with a variable

63 = 7c + 28
35 = 7c
5 = c

To double check that, plug c = 5 into the original equation.

1/(5) + 4 = 7/63
1/9 = 7/63

7/63 simplifies into 1/9 (7:7 = 1, 63/7 = 9)

1/9 = 1/9 so c = 5 is correct

Somebody help me with this?

Answers

Answer:

2

Step-by-step explanation:

The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.

PLEASEEEE HELP!!!! (Multiplying/Dividing Fractions Word Problems) An auto shop installed a new automatic system to do paint jobs for cars. The system can paint 6 cars in an hour. How long does it take to paint one car?

Answers

Answer:

10 minutes.

Step-by-step explanation:

Note the amount of minutes in an hour.

1 hour = 60 minutes.

The system can paint 6 cars in an hour. Divide 60 minutes with 6 cars:

60/6 = 10

Each car takes 10 minutes to get fully painted.

~

Find the like terms in the following.​

Answers

Answer:

1 is the like term in a series as there is nothing common

.sorry if mistake.

like terms =

2x,-6x,

5y²,-9x²,18y²

A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is equal to base of the cube. What is the slant height of the square pyramid?

Answers

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm

Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.

Mean
B.

Interquartile range
C.

Median
D.

Mean Absolute Deviation (MAD)
E.

Range

Answers

Answer:

B.  Interquartile range

E. Range

Step-by-step explanation:

When the variability is to be used for comparing the two data sets so the measures that should be considered is range & interquartile range as it shows the difference also it compared the two different data sets

Therefore option B and E is correct

And, the rest of the options are wrong

The sum of 25 and h is divided by f cubed.​

Answers

the answer is (25+_h) / f3

Under a periodic inventory system, closing entries will include

debits to Sales, Purchases Returns and Allowances, and Purchases Discounts

credits to the Allowance for Doubtful Accounts

adjustments to the merchandise inventory account to match physical inventory

all of these

Answers

Answer:

0.285714285 nearest thousandth

Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be
1
one hundred thousand
(Enter your answer as a whole number.)
_____ backup systems.

Answers

Answer:

a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

b) 3 backup systems are needed.

Step-by-step explanation:

For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three separate computer control systems

This means that [tex]n = 3[/tex]

The probability of failure for any one system on any one mission is known to be 0.01.

So the probability of working is:

[tex]p = 1 - 0.01 = 0.99[/tex]

(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)

This is [tex]P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]

0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand

This is n for which:

[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]

With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.

We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]

So 3 backup systems are needed.

How do you simplify 1 1/3

Answers

Answer:

4/3

Step-by-step explanation:

20 points to answer !!
In your own words, describe a situation in your own life that involves quadrilaterals..... (see picture above)

Answers

The math teacher made me write a page about a rectangle

the burger king sign is a rectangle i had burger king last week

What percent of 38 is 23

Answers

23/380.605x100=60.5%

This mean 23 is 60.5% of 38

The percentage of 38 that is 23 is = 60.5%

Percentage of a given quantity:

To calculate the percentage of a given quantity, the quantity is taken to be =100%

That is ; 38 = 100%

Therefore, 23 = X

make X the subject of formula,

[tex]x = \frac{23 \times 100}{38} [/tex]

[tex]x = \frac{2300}{35} [/tex]

X = 60.5%

Therefore, 60.5% of 38 is 23.

Learn more about percentage here:

https://brainly.com/question/24304697

In AGHI, the measure of ZI=90°, HI = 5.6 feet, and IG = 2.8 feet. Find the measure
of ZG to the nearest tenth of a degree.
H
help please

Answers

Answer:

63.4

Step-by-step explanation:

What is the solution of the inequality shown below X-3>7

Answers

Step-by-step explanation:

x-3>7 =>

x>10

hope this helps

Which shapes can the composite figure be divided into to find the area?

O a rectangle and a triangle
O a rectangle and two triangles
O a trapezoid and a rectangle
O a trapezoid and two triangles

Answers

A rectangle and two triangles

-2x + 4 = 104
Please help

Answers

Answer:

x = -50

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+4=104

Step 1: Subtract 4 from both sides.

−2x+4−4=104−4

−2x=100

Step 2: Divide both sides by -2.

−2x/-2  100/-2

=-50  

In which rainforest three layer would you most expect to spot a harpy eagle

Answers

Answer:

canopy layer

Step-by-step explanation:

What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4

Answers

Answer:

8

Step-by-step explanation:

2+(5)(2)−4

=2+10−4

=12−4

=8

Answer:

6.2222222222 over 3 to the power of 2 + 5 × 2 − 4

Simplify the following proper fraction by reducing to lowest terms. 2/18

Answers

Answer:1/9

Step-by-step explanation: divide both sides of the fraction by 2

Answer:

1/9

both divide by 2 then 2/2=1 and 18/2=9 so that the answer will be 1/9

Solve and graph the inequality.

−x4−6≥−8

Answers

Answer:

Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]

Answer:

-4x ≥ 14

x ≥ -3.5

Graphed (numberline):

<-----------3.5---0------------->

could be x

Calculator
A worker at a computer factory can assemble 8 computers per hour.
How long would it take this worker to assemble 200 computers?
08h
o 20 h
0 25 h
0 200 h

Answers

Answer:

25 Hours

Step-by-step explanation:

200 computers divided by 8 an hour gives you 25 hours to assemble the computers.

200 ÷ 8 = 25

I hope this helps. ^^

find the median for 24 27 17 19 23 39 20 29 33 33​

Answers

Answer:

25.5

Step-by-step explanation:

Median calulater

5.2 divided by what equals 0.052

Answers

the answer is .01 bc 5.2*.01= 0.052

Answer this correctly I’ll give brainalist + 10 points

Answers

So the answer is going to be b)77
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