Answer:
[tex](x - 4)(x - 5)[/tex]
Step-by-step explanation:
x2 − 9x + 20
[tex] {x}^{2} - 9x + 20 \\ {x}^{2} - 5x - 4x + 20 \\ x(x - 5) - 4(x - 5) \\ (x - 4)(x - 5)[/tex]
The factors of the given trinomial are (x-5)(x-4).
The given trinomial is x²− 9x + 20.
How to factorise trinomial?To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, x²− 9x + 20 can be written as x²− 5x-4x + 20
=x(x-5)-4(x-5)
=(x-5)(x-4)
Therefore, the factors of this trinomial are (x-5)(x-4).
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Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Show that the probability that she walks at least one way is 0.72
Corrected Question
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72
Answer:
[tex]P(A \cup B) =0.72[/tex] (Proved)
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Let the event that she catches the bus to the shop=A
Let the event that she catches the bus from the shop=B
P(A)=0.4
P(B)=0.7
Both A and B are independent events.
Therefore,Probability that she catches the bus to and from the shop:
P(A∩B) = 0.4 X 0.7= 0.28
Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]
[tex]= 1 - 0.28\\= 0.72[/tex]
Hence, the probability that Sue walks at least one way is 0.72.
I need help I keep getting it wrong
Find the area of the triangle and multiply by the length of the prism.
Area = 1/2 x 8x3 = 12 square yds.
Volume = 12 x 6 = 72 cubic yards.
Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.
Answer:
Q1: n*m
Q2: A = 3x+6
Step-by-step explanation:
Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):
[tex]T = n*m=nm[/tex]
Q2: The area of a rectangle is given by the product of its height by its length:
[tex]A = (x+2)*3\\A=3x+6[/tex]
The area of this rectangle is given by the expression A = 3x+6.
Point S(6,-2) is translated 3 units left.What would be the coordinates of the resulting point,S’?
Answer:
S'(3,-2)
Step-by-step explanation:
A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?
Answer:
They Played 15 games total
Step-by-step explanation:
Make ratios:
9:60 %
x:100 %
Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900
Divide to get x: 60x/60=900/60
x=15
They Played 15 games total
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A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. A. $1.75 + $0.25x ≤ $15 B. $1.75 + $0.25x ≥ $15 C. $0.25 + $1.75x ≤ $15 D. $0.25 + $1.75x ≥ $15
Answer:
A. $1.75 + $0.25x ≤ $15
Step-by-step explanation:
This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.
Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.
Option A is the correct option.
Here,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
We have to find inequality relationship.
What is inequality?
The relationship between two values that are not equal is defined by inequalities.
Now,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
Let Eddie travel x miles.
Therefore, the total charge of taxi cab = $1.75 + 0.25x
And this amount should not exceed the $15 as it is the only amount Eddie has.
Hence the inequality relationship be,
$1.75 + 0.25x ≤ $15.
Option A is the correct option.
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If 2x + y = 32 and 3x + 4y =68 find the value of x/y
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...
Ayuuuuuuddddaaaaaa!!!
Answer:
Los triangulos son iguales porque tienen dos lados y el angulo comprendido respectivamente iguales, por tanto
[tex]3x = x+8\\2x=8\\x=4\\[/tex]
5. Jason works at a local fish and chips restaurant.
He earns $7/h during the week, and $9/h on the weekend.
a) Jason works 8 h during the week and 12 h on the weekend.
Write an expression for his earnings.
b) Jason works x hours during the week, and 5 h on the
weekend. Write an algebraic expression for his earnings.
c) Jason needs $115 to buy sports equipment.
He worked 5 h on the weekend.
How many hours does Jason need to work during the week to
have the money he needs?
Answer:
a) 7(8)+9 (12)
b)7x+45
c )10 hours
Step-by-step explanation:
Hi, to answer this question we have to write an expression
The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):
7x+ 9y
a) substitute x=8 and y=12
7 (8)+ 9 (12)
b) substitute y =5
7 x +9(5) =
7x+ 45 =
c)
Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):
7x+9 (5)=115
Solving for x:
7x + 45 =115
7x = 115-45
7x = 70
x =70/7
x =10 hours
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
500 /3 pi cm^3
Step-by-step explanation:
The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm
That means the radius is
r =d/2 =10/2 = 5 cm
The volume of a sphere is
V = 4/3 pi r^3
= 4/3 pi (5)^3
= 500 /3 pi cm^3
Answer:
Your correct answer is 500/3 cm^3
I will show you how and tell you why it is 500/3 cm^3 down below:
Explanation:
The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:
r = d/2 = 10/2 = 5 cm
and right here I will show you the volume of the sphere:
v = 4/3 r^3
= 4/3 (5)^3
= 500/3 cm^3
Showing these results, you can see that the answer is 500 /3 cm^3
What’s the 73rd term of the sequence 18,30,42
Answer:
Let's find the explicit rule for this arithmetic sequence. We have:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
Need help with this Pls!! Show work
Answer:
2200[tex]\pi[/tex] cm
Step-by-step explanation:
V= [tex]\pi[/tex]r²h
V= [tex]\pi[/tex](10)²22. Since it is filled 3 cm from the top, you can subtract 3 from the height
V= [tex]\pi[/tex](100)(22)
V= 2200[tex]\pi[/tex] cm
Can someone please help me?
the ratio of zinc to copper is 3:19,
if theres 741 copper how much zinc is there?
Answer:
117
Step-by-step explanation:
For every 3 zinc there would be 19 copper, and for every 19 copper there would be 3 zinc. There are 741 copper, so there would be 741 * 3 / 19 zinc, which turns out to be 117 zinc.
Factor 9x6 – 16 y completely.
First factor each term.
9x6 = (__)?
16y6 = ()2
Then use a? - b2 = (a - b)(a + b). Show your work.
9x6 – 16y6 =
Answer:
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Step-by-step explanation:
9x^6 – 16 y^6
Rewriting as
(3x^3) ^2 - ( 4y^3) ^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Answer:
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
(78 + 47) divided by 25
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
78 + 47 = 125
125/25 = 5
Find the value of this expression if X=-7
Answer:
-9
Step-by-step explanation:
[tex](-7)^{2}[/tex] = 49
when you have a negative number to any power make sure you plug it in correctly into the calculator.
[tex]\frac{49+5}{-7+1}[/tex] = [tex]\frac{54}{-6}[/tex]
54÷-6= -9
I hope this helps
Answer:
[tex]-9[/tex]
Step-by-step explanation:
[tex]\frac{x^2+5}{x+1}[/tex]
If [tex]x=-7[/tex] then:
[tex]\frac{-7^2+5}{-7+1} =\\\\\frac{49+5}{-6} =\\\\\frac{54}{-6} =\\\\-9[/tex]
The expression equals [tex]-9[/tex] if [tex]x=-7[/tex]
What percentage of 220 is 130?
Answer:
59.09%
Step-by-step explanation:
You find it through the following formula:
Part divided by whole times 100.
Substitute it and you get the answer:
130 / 220 times 100 = 59.09
What is the range of the function shown in the graph?
The range of the graph is -∞ ∠ y ∠ 5, which is option a.
What is range in Function?The range of a function is the set of numbers that the function can produce. In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function.
In the given graph
Red line shows the value of y when we put the value of x.
and the line goes down towards negative y upto infinity and on another side at constant value 5 when put x any value.
that means y lies between negative infinity ( -∞ ) and 5
Hence, The range of the graph is -∞ ∠ y ∠ 5.
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Can someone please help me please please
Answer:
AA similarity postulate
Step-by-step explanation:
B and D are corresponding angles who both have measures of 50 degrees, which makes one pair of angles for this postulate. The other pair are ACB and ECD, because they are vertical angles and therefore congruent. Since when two angles in two triangles are the same, the third must be the same as well, these triangles must be similar. Hope this helps!
Se sabe que el 20% de todas las personas a quienes se administra cierto medicamento se siente muy mal en 2 minutos; encuentra la probabilidad de que entre 14 personas a las que se les administra este medicamento: a) A lo sumo 2 se sientan muy mal en dos minutos b) Por lo menos 5 se sientan muy mal en dos minutos c) De 2 a 4 se sientan muy mal en dos minutos
Answer:
a) 0.4481
b) 0.1298
c) 0.6722
Step-by-step explanation:
English Translation
It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:
a) At most 2 feel very bad in two minutes
b) At least 5 feel very bad in two minutes
c) From 2 to 4 they feel very bad in two minutes
Solution
This is a binomial distribution problem
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.
The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 14
x = Number of successes required
p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20
q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80
a) At most 2 feel very bad in two minutes
P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)
= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481
b) At least 5 feel very bad in two minutes
P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]
= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298
c) From 2 to 4 they feel very bad in two minutes
P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)
= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722
Hope this Helps!!!
please help me, with full explanation!!!!
Answer:
9.54 cm
Step-by-step explanation:
In triangle ABD, AD is the hypotenuse (longest side)
We know that according to Pythagoras theorem,
a^2+b^2=c^2
In the figure, c (10cm) and a (5cm) is given. So,
(5)^2 + b^2 = 100
25+b^2 = 100
b^2 = 75
So b is √75 = 8.66
Therefore BD is 8.66 cm
Now even BDC is a triangle
In it, the hypotenuse is missing but we know the value of other sides
so, in Pythagorean theorem,
a=4 (CD)
b=8.66 (BD)
c=x
Therefore,
(4)^2 + (8.66)^2 = x^2
16+74.99= x^2
x^2 = 90.99
x= 9.54 cm
Hope this helps!
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
The trip is 45 and 1/2 miles long
Step-by-step explanation:
9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [
Answer:
y=2x-10
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.
Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.
Now, just plug the numbers into the formula for m above, like this:
m=
2 - -4
6 - 3
or...
m=
6
3
or...
m=2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
5
and
4i
What is the distance
Answer:
=√41
Steps:
D=√(5-0)²+(4-0)² = √25+16 = √41
The answer for this question is =√41
1: D=√(5-0)²
2: +(4-0)²
3: = √25+16
4: = √41
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Hope this helps.
What is the greatest common factor of the terms in the expression StartFraction 7 over 3 EndFraction a b minus StartFraction 7 over 6 EndFraction b? One-third b One-third a b 7 b 7 a b
Answer:
(C)7b
Step-by-step explanation:
Given the expression:
[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]
Let us factor the expression:
[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]
Since we need the greatest common factor, we can rewrite the expression as:
[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]
Therefore, the greatest common factor is 7b.
The correct option is C.
Answer: C. 7 b
Step-by-step explanation:
Got it right on edge
Teena's calculator is broken and does not have key 9 that works! With this broken calculator she found out the value of (-35) x 99. Explain your reasoning carefully and clearly
Answer:
(-35) * (100 - 1)
Step-by-step explanation:
She was able to find the value of (-35) * 99 without using the missing 9 button on her calculator.
The easiest way to do this is to replace 99 with another set of numbers that has the same value as 99.
(100 - 1) has the same value as 99. So, Teena can replace 99 with (100 - 1):
(-35) * (100 - 1)
It will yield the desired result.
1. Find a. The length of side
b. The Apothum
c. The area of the regular polygon inscribed in a circle of radius r= 13 cm of hexagon,
2. The side length of inscribed regular polygon is 10 unit long. Find the area of hexagon.
3. The area of inscribed regular hexagon is 18 V3 cm2. Find
8. The radius
b. The side length
c. The Apothum
d. The perimeter
4. If a regular polygon of 12 sides with radius units long is given. What is its area?
please help guys i dont understand
solve for x
5(x+9)=-45
i need help ASAP
Answer:
x = -18
Step-by-step explanation:
5 ( x + 9 ) = -45
→ Expand out the brackets to simplify the equation
5x + 45 = -45
→ Minus 45 from both sides to isolate 5x
5x = - 90
→ Divide both sides by 5 to isolate x
x = -18
Answer:
x= -18
Step-by-step explanation:
5*(x+9)=-45
:5 :5
x+9=-9
-9 -9
x= -9-9
x= -18
