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]
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?
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
42/2 +9=???
what is the answer and how do you find the answer?!
In which rainforest three layer would you most expect to spot a harpy eagle
Answer:
canopy layer
Step-by-step explanation:
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
Answer:
0.285714285 nearest thousandth
20 points to answer !!
In your own words, describe a situation in your own life that involves quadrilaterals..... (see picture above)
the burger king sign is a rectangle i had burger king last week
what is a equivalent expressions 3(6x+4)
Answer: 18x + 12
Step-by-step explanation:
3 ( 6x + 4 )
3 x 6x = 18x
3 x 4 = 12
18x + 12
5.2 divided by what equals 0.052
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
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
Simplify the following proper fraction by reducing to lowest terms. 2/18
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
How do you simplify 1 1/3
Answer:
4/3
Step-by-step explanation:
Solve and graph the inequality.
−x4−6≥−8
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
-2x + 4 = 104
Please help
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
what 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 → 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
please help if you do thanks :) question 2
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.
Answer this correctly I’ll give brainalist + 10 points
What is the answer for this 5c + 9 -2c -7
Step-by-step explanation:
Given
5c + 9 - 2c - 7
= 3c + 2
Hope it will help :)❤
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.
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.
find the median for 24 27 17 19 23 39 20 29 33 33
Answer:
25.5
Step-by-step explanation:
Median calulater
What is the solution of the inequality shown below X-3>7
Step-by-step explanation:
x-3>7 =>
x>10
hope this helps
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?
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.
~
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
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. ^^
What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4
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
Here are two similar rectangles.
1 cm
2 cm
4 cm
Work out the area of the larger rectangle.
Answer:
40.32
Step-by-step explanation
4*1.2=4.8
7*1.2=8.4
8.4*4.8
=40.32
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
Answer:
63.4
Step-by-step explanation:
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
What percent of 38 is 23
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
Find the like terms in the following.
Answer:
1 is the like term in a series as there is nothing common
.sorry if mistake.
like terms =
2x,-6x,
5y²,-9x²,18y²
Solve the proportion
The sum of 25 and h is divided by f cubed.
Somebody help me with this?
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.