9514 1404 393
Answer:
(x -y -1)(x +y)
Step-by-step explanation:
The expression can be factored by grouping.
x^2 -y^2 -x -y = (x^2 -y^2) -(x +y)
= (x -y)(x +y) -1(x +y)
= (x -y -1)(x +y)
_____
It is useful to know that a difference of squares is factored as ...
a^2 -b^2 = (a -b)(a +b)
Callum is walking 270 miles to raise money for cancer research. He plans to walk 1/9 of the distance each day. After 7 days, how much farther does he have to walk to reach his goal?
i need help please i'll give brainly
Answer:
60 +24 = 84
Step-by-step explanation:jjjjjhjhjhj
6 x 4 +5 x 12
Brandy has 9/10 slices of cake left. She gives her brother 1/5 slices. How much cake does Brandy have left?
Answer:
7/10
Step-by-step explanation:
For 25 pts
Pls Help this is hard as hell
Answer: For the first one Independent variable would be Cars age and the dependent would be cars price. For the second one, independent variable would be number of training miles and dependent would be Time to finish the race in minutes.
Step-by-step explanation:
Answer:
First one:
The independent variable is the car’s age
The dependent variable is the car’s price according tot he age
Second one:
The independent variable is the number of training miles
The dependent variable is the time it takes to finish
Step-by-step explanation:
Just think of the independent variable as the cause and the dependent variable as the effect.
How many years would it take for
£109.27 to be accrued after
£100 is invested with 3%
pa compound interest.
Years:
Answer:
3 years approx
Step-by-step explanation:
Given data
Principal=£100
Amount= £109.27
Rate= 3%
The expression for the compound interest is
A=P(1+r)^t
Make t subject of formula we have
t= ln(A/P) / r
t= ln(109.27/100)/ 3
t= ln(1.0927)/0.03
t= 0.088/0.03
t= 2.93
Hence the time is 3 years approx
Five countries enter a race. The first three racers in order, Jamaica finished before Barbados, but behind Trinidad. Haiti finished before Guyana, but behind Barbados. Who won the Bronze (finished in 3rd place)?
Answer:
Barbados won the Bronze.
Step-by-step explanation:
The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:
1. Trinidad
2. Jamaica
3. Barbados
Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and the last one was Guyana:
1. Trinidad
2. Jamaica
3. Barbados
4. Haiti
5.Guyana
According to this, the answer is that Barbados won the Bronze.
Question 3
1 pts
meters, will the period of a pendulum be 3 seconds? Use the formulas T = a[.where the proportionality constant,
The acceleration of gravity on Mars is 3.69 For what length
2 TT
a. depends on the acceleration of gravity: a =
vg
0.92 meters
0.84 meters
0.66 meters
Plzzzzz I need help asap thank you
No links plzzzzz
Answer:
-1.4 ; -0.7 ; 0.003 ; 3% ; 0.3 ; 2/3 ; 7/8 ; 100/50
Step-by-step explanation:
0.003 ; -1.4 ; 100/50 = 2 ; 0.85 ; 2/3 = 0.67 ; 3% = 3/100 = 0.03 ; 7/8 = 0.875 ;
0.3 , -0.7
0.003 ; -1.4 ; 2 ; 0.85 ; 0.67 ; 0.03 ; 0.875 ; 0.3 ; -0.7
Least to greatest:
-1.4 ; - 0.7 ; 0.003 ; 0.03 ; 0.3 ; 0.67 ; 0.85 ;2
-1.4 ; -0.7 ; 0.003 ; 3% ; 0.3 ; 2/3 ; 7/8 ; 100/50
Negative numbers have least value.Then in decimal numbers, the number having the least value in tenth is the least
A computer tablet is 0.24 meter long. How long is the computer tablet in centimeters?
Answer:
24 cm long
Step-by-step explanation:
Please help! question : “ Give 3 possible solutions to x>2.”
Answer:
26 , 10 , 3
Step-by-step explanation:
Any number larger than 2 will work.
Each person is dealt 5 cards, show the total number of cards dealt for each players from 3 to 6 write the ratio of cards dealt
Answer:
Following are the responses to these question:
Step-by-step explanation:
Because every player has 5 cards handed
The card ratio is 5:1 per player.
So, if there are three teams
5 times 3=15 Cards
Four players=four times five=20 cards
Five players=5 times five=25 cards
6 cards=6 times 5=30 cards
The card ratio is 5:1 per player.
The length of a rectangle is 15ft greater than the width. The area is 100 square ft. Find the length and the Width.
Step-by-step explanation:
so let's say that the width is x then the length is x+15
and the area of a square is length times width
x(x+15)=100
x^2+15x-100=0
(x+20)(x-5)=0
x=5 or x=-20 but a side length can't be negative so x would equal 5
Length=x+15 with 5 as x
Length=20
Width=5
Hope that helps :)
Simplify: 121/11 + 3(4)/2
Please and thank you. :)
Answer:
17
Step-by-step explanation:
I don't know the explanation, but hoped this helped.
question is on the picture
Answer:
12/5
Step-by-step explanation:
tan A = opp/adj
For angle theta, 12 is the opposite leg.
13 is the hypotenuse.
We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 25
The adjacent leg has a length of 5.
tan theta = opp/adj
tan theta = 12/5
Answer: 12/5
What’s 1/5 divided by 1/12?
Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: , where "h" is the height in feet and "x" is the horizontal distance in feet from the diving board. 1) How high is the diving board? 2) How deep does the diver dive into the water? 3) At what horizontal distance from the board does the diver enter the water? 4) At what horizontal distance from the board does the diver come to the surface of the water after the dive?
Answer:
1. 6 feet
2. 6.25 feet
3. 1 feet
4. 6 feet
Step-by-step explanation:
The equation is : [tex]$h(x)=x^2-7x+6$[/tex]
1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.
So, substituting x = 0 in the equation, we get
[tex]$h(0)=0^2-7(0)+6$[/tex]
[tex]$=0-0+6$[/tex]
[tex]$=6$[/tex]
So, the diving board is 6 feet above the surface of the water.
2. From the equation, we known that it is a parabola and the vertex is minimum.
It is the minimum height which represents the depth Kendra dives into the water.
So the [tex]$x$[/tex] coordinate of the vertex is = [tex]$\frac{-b}{2a}$[/tex]
Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,
a = 1 and b = -7
∴ x coordinate = [tex]$\frac{-(-7)}{2 \times 1} $[/tex]
[tex]$\frac{7}{2}=3.5$[/tex]
Now substituting to find f(x),
[tex]$h(3.5)=(3.5)^2-7(3.5)+6$[/tex]
= -6.25
Therefore, the diver dives 6.25 feet below the water surface.
3. The horizontal distance from the board the diver enters into the water.
This is the y-intercept and it is the value of x when h(x)=0.
∴ [tex]$0=x^2-7x+6$[/tex]
Factorizing, we get [tex]$(x-1)(x-6)=0$[/tex]
∴ [tex]$x=1 \text{ or}\ x=6$[/tex]
So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.
4. We know that the equation given has [tex]$\text{two}$[/tex] x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height [tex]$h(x)=0$[/tex]. The height is the water surface level.
The first x intercept represents the points where Kendra dives into the water.
And the second x intercept is the point where Kendra comes out of the water surface. This this is [tex]$x=6$[/tex] for [tex]$h(x)=0$[/tex].
Thus Kendra dives out of the water surface at 6 feet from the board.
helppppppppppp meeeeeeeeeee
Answer:
330
Step-by-step explanation:
Answer:
335.5
Step-by-step explanation:
A circle has a diameter of 15 meters. What is its approximate circumference?
Answer:
A≈176.71
Step-by-step explanation:
A=πr^2
We find the radius by slicing the diameter in half. The radius is half of the diameter.
A = A=π 7.5^2
A=π 56.25
A≈176.71
Somebody know this? thanks
Answer:
4 right angles
Step-by-step explanation:
a straight light intersects another straight line= creating 4 right angles
A homeowner installs a solar heating system, which generates 20 savings at a rate of 300e t dollars per year, t years after installation. Find a formula for the total savings after t years. If the system cost 30000 dollars to install, when will the savings match the installation cost
Answer:
"35.84 years" is the appropriate solution.
Step-by-step explanation:
The given values are:
Rate of savings generation,
[tex]s'(t)=300e^{\frac{t}{20} }[/tex]
System cost to install,
= $30000
Now,
The total savings will be:
⇒ [tex]s(t)=\int\limits s'(t) \ dt[/tex]
On substituting the values, we get
⇒ [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]
⇒ [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]
When,
Savings = 0
t = 0, then
⇒ [tex]0=6000e^o+c[/tex]
⇒ [tex]c=-6000[/tex]
The formula will be:
⇒ [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]
On putting the values in the above formula, we get
⇒ [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]
[tex]5=e^{\frac{t}{20}}-1[/tex]
[tex]e^{\frac{t}{20} }=6[/tex]
On taking log, we get
⇒ [tex]\frac{t}{20} =log \ 6[/tex]
[tex]t=20 log 6[/tex]
[tex]=35.84 \ years[/tex]
Please help me I only need d.
Answer:
true
Step-by-step explanation:
5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.
what is the distance between -2 1/2, -5 3/4
Answer:
Step-by-step explanation:
it's kinda confusing b/c of the minus signs.. huh... but -5 is less than -2 sooo
start with
-2 1/2 - (-5 3/4 )
=5 3/4 - 2 1/2
=5 3/4 - 2 2/4
=23/4 - 10/4
=13/4
there you go... :)
if you want it back in proper fractions
3 1/4
2, 3, 1, 6, 4, 5, 3, 2, 3, 4 is the set
Answer:
mean: 3.3
median: 3
mode: 3
range: 5
Q1 = 2
Q3 = 4
IQR = 2
Step-by-step explanation:
Please Solve this question. whoever answers my question gets 10 points with heart and brainlist (if there's two answers) Thank you. And please don't guess :D
Answer:
c,h is a 90 degree angle and so is a,k,c
a,k,c is half of the 12cm
so the answer is c,h is 6cm
Step-by-step explanation:
Answer:
CH = 6
BAH = 96
Step-by-step explanation:
BC = 12, so BK = 6, and ABK = ACH, so BK = CH = 6
BAK = 32, KAC = 32, CAH = 32
BAK + KAC + CAH = BAH = 96
Which expression is equivalent to
1/3b -7
Answer:
2/6b-7
Step-by-step explanation:
Answer:
1/3(b-21)
hope it helps :)
If a pack of highlighter costs 2.40 what is the cost Per highlighter, in dollars and cent
From the information you gave me, I am going to guess it is a 4 pack of highlighters.
Answer: $0.60 per highlighter
Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).
A carpet cleaner charges $50.97 to travel to the customers house and $15.11 per room cleaned. In the carpet cleaner charged $96.97 how many rooms did he clean?
Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. What is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years
Answer:
$35,000
Step-by-step explanation:
The amount that would be repaid = amount borrowed + interest earned on loan
interest earned on deposit can be determined by determining the simple interest
Simple interest = principal x time x interest rate
principal = the amount deposited = 20,000
Time = the duration of the deposit =5
interest rate = the percentage on deposit that would be earned = 15
20,000 x 5 x 0.15 = $15,000
total = 20,000 + 15,000 = $35,000
| 50 Points | Please give explanation | Reporting false answers | Giving correct brainliest
Answer: answer is D
Step-by-step explanation:
because science is more important than life