Answer:
The correct option is:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
We are given a function f(x) which is a product of two linear polynomial as:
Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.
So, the function f(x) will be represented as:
So, we will plot the graph of the function and check which statements about the function hold true.
1)
The function is increasing for all real values of x where x < 0.
This statement is false.
Since we get from the graph that function f(x) is decreasing for x<0.
2)
The function is increasing for all real values of x where x < –1 and where x > 4.
This option is incorrect as the function is decreasing for x<-1
whereas it is increasing for x>4.
3)
The function is decreasing for all real values of x where –1 < x < 4.
This option is incorrect.
Since, the function is both decreasing as well as increasing in the interval (-1,4).
4)
The function is decreasing for all real values of x where x < 1.5.
This option is correct.
Since it could be observed from the graph that the function is decreasing for x<1.5.
A card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not. He keeps the card, and then makes another selection and sees if the card is a red card or not. He continues this process 10 times and counts the total number of red cards that he selects. Is this a binomial random variable? A. no since the total number of red cards in the deck is unknown at the start of the experiment B. no, since probabilities of drawing red cards do not remain the same from trial to trial C. yes since red cards are successes and he is counting the number of red cards drawn D. yes since a red card is a success and every other card is a failure
Answer:
A
Step-by-step explanation:
there could be no red cards inside
A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.
We have to determine whether the card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not.
He keeps the card, and then makes another selection and sees if the card is a red card or not.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
He continues this process 10 times and counts the total number of red cards that he selects.
We have to determine if it Is a binomial random variable.
There could be no red cards inside.
Therefore, A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.
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URGENT!!! Please answer ASAP with full working out thank you
Step-by-step explanation:
[tex]a)
\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}[/tex]
Solve b part yourself in the same way.
3. A communications tower is 35 m tall. From a point due
north of the tower, Tannis measures the angle of elevation of
the top of the tower as 70°. Her brother Leif, who is due east
of the tower, measures the angle of elevation of the top of the
tower as 50°. How far apart are the students to the nearest
metre?
110
Answer:
BT = 12.73
LT = 32m
Step-by-step explanation:
Answer:
Hey there! The answer to your question will be at the bottom I also attached a picture for you...
Step-by-step explanation:
Answer:
The answer should be about 32m
Hope that helps!
By: xBrainly
What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
Answer:
25 train routes
Step-by-step explanation:
The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!
Answer:
300
Step-by-step explanation:
25·24/2=300
Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) using pencil and paper. Explain the entire process. pleaaassseee help mee.
Answer: You will need to find the x-intercepts and the vertex
Step-by-step explanation: Use the information in the factors and some formulae.
The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0
Set each factor equal to 0 and solve:
x-2=0, so x = +2 and x +4 = 0, so x = -4 (you would plot these if creating the graph)
To find the vertex you need the Vertex Formula: x = -b/2a
b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b: -2x + 4x = 2x You know a = 1 because x² will have the implied (missing)(1).
Put the numbers in the Formula: x = -b/2a x = -(2)/2(1) -2/2 = -1
-1 is the "x-value" of the vertex.
The y value is the 'c' in the quadratic formula. You get that from the L part of FOIL -2 × 4 = -8 .
So, your coordinates for the vertex: ( -1, -8 )
If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.
Find the inverse of the function.
f(x) = x ^3 + 8
Answer:
The inverse of the function is
[tex] \sqrt[3]{x - 8} [/tex]
Step-by-step explanation:
To find the inverse of the function we equate f(x) to y
That's
f(x) = y
So we have
[tex]y = {x}^{3} + 8[/tex]
Next interchange the terms x becomes y and y becomes x
That's
[tex] x = {y}^{3} + 8[/tex]
Next make y the subject
That's
[tex] {y}^{3} = x - 8 \\ \\ y = \sqrt[3]{x - 8} [/tex]
Hope this helps you.
How many faces does a solid with 14 vertices and 21 edges have?' a.) 21 b.) 18 c.) 9 d.) 11
Answer: (C) 9
Step-by-step explanation:
F+V-E = 2
F + 14 - 21 = 2
F = 9
* ANSWER PLS TY!! * Find the surface area of this cone.
Answer:
[tex]200 \: \pi[/tex]Step-by-step explanation:
Given,
R = 8 m
H = 15 m
Slant height :
[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]
[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]
[tex] = \sqrt{64 + 225} [/tex]
[tex] = \sqrt{289} [/tex]
[tex] = \sqrt{ {(17)}^{2} } [/tex]
[tex] = 17 \: m[/tex]
Now, Finding the surface area of the cone:
[tex]\pi \: r(r + s)[/tex]
Plugging the values:
[tex] = \pi \: \times 8(8 + 17)[/tex]
[tex] = 8\pi \: \times 25[/tex]
[tex] = 200 \: \pi[/tex]
Hope this helps...
Good luck on your assignment...
Solve for b. -11b+7 = 40−11b+7=40
pls answer
Answer:
b = - 3Step-by-step explanation:
-11b+7 = 40
Group like terms
That's
- 11b = 40 - 7
- 11b = 33
Divide both sides by - 11
That's
[tex] \frac{ - 11b}{ - 11} = \frac{33}{ - 11} [/tex]
b = - 3Hope this helps you
Answer:
-3
Step-by-step explanation:
I put this answer and got it correct on Khan
There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
Answer:170
Step-by-step explanation:
122+24+24=170
A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. A Slope and xxx-intercept (Choice B) B Slope and yyy-intercept (Choice C) C Slope and a point that is not an intercept (Choice D, Checked) D xxx-intercept and yyy-intercept (Choice E) E y-intercept and a point that is not an intercept (Choice F) F Two points that are not intercepts
Answer:
S(t) = 2 - 0.25 t
Step-by-step explanation:
i am not explaining :> (me being lazy)
PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?
It will be a negative.
for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11
-2(2) + 1 = -3
but that's only 8 apart, so it'd be higher.
-4(2) + 1 = -7
-4(8) + 5 = -27
BOOM
Tadaaaa,
You probably thought positive, but sometimes it's negative, you know what I mean?
In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=5
Answer:
3
Step-by-step explanation:
6^2=5^2+b^2
36=25+b
36-25=b
B= square root of 9
B= 3
Answer:
3
Step-by-step explanation:
How many different 4-digit numbers can be formed using only digits 1, 2, 3, and 4, given that they contain each of these digits only once?
Answer:
24.
Step-by-step explanation:
To solve this question, you might need to do a little math. So, there are four digits, correct? And they cannot be repeated? Well, you can solve this problem by creating the numbers. Here are the ones I came up with:
1234
1324
1432
1342
1243
1423
See? There are 6. You can do the same with these:
2341
2413
2314
2143
2134
2134
These are only half of the expressions. Hopefully this helps you come up with the rest. Best of luck.
PLZZZZZZZZZZZ ANSWER QUICK PWEASE
Answer:
z = -9.5
Step-by-step explanation:
Well to get rid of the 2 in the following expression,
[tex]-4.75 = \frac{z}{2}[/tex]
We multiply everything by 2.
-4.75 * 2 = -9.5
z * 2 = 2
-9.5 = z
Determine the measure of ∠DBC. answers: 1) 130° 2) 115° 3) 230° 4) 65°
Answer:
65 degrees
Step-by-step explanation:
65 degrees
it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees
Answer:
115
Step-by-step explanation:
The total circle is 360 degrees. The sum of the arcs of the circle is 360
Arc DC = 360 - Arc CB - Arc BC
DC = 360 -30-100
DC =230
Inscribed Angle =1/2 Intercepted Arc
<DBC = 1/2 CD
<DBC = 1/2 (230)
= 115
write the equation of a line that is perpendicular to x=3 and that passes through the point (0 -4) will mark brainliest asap!!!
Answer:
y = -4
Step-by-step explanation:
x = 3 is a vertical line.
The perpendicular line passes through (0, -4) (x, y)
y = -4
The line is perpendicular, so the line should be also horizontal.
Answer:
y = -4
Step-by-step explanation:
The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).
Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.
What is the length of AC?
3 ft
4 ft
9 ft
18 ft
Question 18 (5 points)
Identify the independent and dependent variables in the following situation: The
temperature of the water decreases as a diver descends to the bottom of a lake.
The independent variable is the temperature of the water, and the dependent
variable is the depth below the surface of the lake.
The independent variable is the depth below the surface of the lake, and the
dependent variable is the temperature of the water.
The independent variable is the speed at which the diver descends, and the
dependent variable is the temperature of the water.
The independent variable is the type of boat, and the dependent variable is the
temperature of the water.
Answer:
The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water
Step-by-step explanation:
Tempeture = depth x
Find the sum of the three expressions and choose the correct answer. -8a 3 b + 3a2 b 2 - 5 2 + 5a 2 b 2 3a 3 b + 7 - 9a 2 b 2
Answer:
-9ab3a3b-52
Step-by-step explanation:
-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2
-8a3b-6a-52+5a2b3a3b
-14a3b-52+5a2b3a3b
-9ab3a3b-52
How many cubic inches in a box that is 2" by 3" by 5"
Answer:
30 in^3
Step-by-step explanation:
5 x 3= 15 x 2= 30
Answer:
30 in³
Step-by-step explanation:
V = 2in×3in×5in
= 6in²×5in
= 30 in³
You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answer:
15
Step-by-step explanation:
lets begin to set up this question. i personally find questions like these easiest when i begin to set up ideas to help my brain process it better, for example:
person a
person b
person c
person d
we know that each (person) must receive at least 1 candy. we also know that we have 7 candies. therefore if we want do draw this out :
person a- 1
person b- 1
person c- 1
person d -1
notice that we now have given away 4 of the 7 candies. now we have 3 candies left. we can simply:
person a- 2
person b-2
person c-2
person d- 1
but, keep in mind that there are still many more ways that we can distribute the candies to other kids. the question we are asked is how may ways can we do this. since i have already illustrated the question, you can either learn how to put this into an equation, or experiment how many variations there are. the answer, either way is 15.
Arman, Babken, and Cecilia decided to compete in a 100m run. When Arman crossed the finish line, Babken was 10m behind him. When Babken crossed the finish line, Cecilia was 10m behind him. How far was Cecilia behind Arman when he crossed the finish line? P.S. The answer is not 20.
Answer:
The answer is 19
Step-by-step explanation:
I am not good at explainig at all and im not sure how to explain but I had this question
Cecilia is 19 m behind the Arman.
Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.
percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.
Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.
As arman crossed finish line Cecilia is at = 90% of run covered by babken,
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19
Thus, Cecilia is 19 m behind the Arman.
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Help with this question(will gove brainlist and thanks)(determine area)
Answer:
The area of a triangle is base * height / 2. In this case that is:
3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²
Answer:
3x-6 inches^2
Step-by-step explanation:
[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. How much money was invested at 3%? $2,000 $3,000 $4,000
Answer:
money invested at 3% is $4000
Step-by-step explanation:
let the money invested in 3% account be x
then money invested in 5% account = 6000 - x
we know interest = p*r*t/100
p is the principle amount invested
here t = 1 year
interest on 3% money
interest= x*3*1/100 = 3x/100
interest on 5% money
interest= (6000-x)*5*1/100
Total interest earned on both the account
3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100
given that total interest earned = $220
thus
( 30000-2x)/100 = 220
=> 30000-2x = 220*100= 22,000
=> -2x = 22,000- 30,000
=> x = -8000/-2 = 4000
Thus, money invested at 3% = x = $4000
Answer:)
$4000
Step-by-step explanation:
Which letter comes next? F H K N Z ? Choose from: L M T Y
Answer:
t
Step-by-step explanation:
The letter that comes next in the given sequence is K.
The given sequence is F H K N Z.
We need to find which letter comes next in the given sequence.
What is the pattern followed in the given sequence?The pattern followed by the given sequence is they are letters of sounding board consonants.
Therefore, the letter that comes next in the given sequence is K.
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if a watch is losing 1.5 minutes for every 12 hours that go by, how many minutes will it lose in one week?
Hey there! :)
Answer:
21 minutes.
Step-by-step explanation:
Begin by calculating the number of 12 hour periods in a week.
Each day contains two 12 hour periods. (24 hours/12 = 2)
There are 7 days in a week, therefore:
2 × 7 = 14 times the watch will lose minutes.
Multiply to find the total number of minutes lost:
14 × 1.5 = 21 minutes.
Answer:
21 minutes
Step-by-step explanation:
There are 24 hours in one day, and 7 days per week. Thus there are
(24)(7), or 168, hours in one week, or 14 - 12-hour periods.
Thus, we multiply 14 - 12-hr periods to answer this question:
1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.
Describe the cross-section of the rectangular prism
rectangle
trapezoid
triangle
hexagon
Answer:
The cross-section of the rectangular prism is a:
rectangleStep-by-step explanation:
When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.
Write a math express for each verbal expression.
1.) The sum of 12 and x
2.) The product of 25 and p
3.) 24 increased by twice a number z
4.) The quotient of a number x and 4
5.) 6 less than a number x
6.) One-half of n squared
Answer:
1.) The sum of 12 and x 12 + x or x + 12
2.) The product of 25 and p 25 × p or 25p
3.) 24 increased by twice a number z 24 + 2z or 2z + 24
4.) The quotient of a number x and 4 x ÷ 4 . or x/4
5.) 6 less than a number x x - 6
6.) One-half of n squared n² ÷ 2 or n²/2
Step-by-step explanation: In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math. As you advance into Algebra, the ÷ and × are rarely used in favor of / or fraction form like [tex]\frac{x}{4}[/tex] and [tex]\frac{x^{2} }{2}[/tex] for division. Parentheses replace × for multiplication, for example (25)(p)=25p to avoid confusion with x, commonly used as an unknown or variable.