Answer:
t = 9
Step-by-step explanation:
Here, we want to find the value of t
2(t-3)^2 -72 = 0
2(t-3)^2 = 72
divide both sides by 2
(t-3)^2 = 72/2
(t-3)^2 = 36
(t-3)^2 = 6^2
Since powers are equal, we equate base
t-3 = 6
t = 6 + 3
t = 9
Find the midpoint of (-5,12) and (3,-6)
Answer:
mid point: (4,5)
hope that helps :)
Step-by-step explanation:
Write a positive or negative integer that represents the situation.
The temperature rises 17 degrees.
Answer:
+17
Step-by-step explanation:
William must have at least $250 this month. He has already earned $100, how much more
should he earn this month? Use m to represent the amount of money he still needs to eam.
Subtract the amount he has from the amount he needs:
M = 250 -100
M = 150
He needs to earn$150 more
Answer:250-100=150
Step-by-step explanation:
the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle
Answer:
Length=9, Width=6
Step-by-step explanation:
First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.
help me pls
1) Mrs.Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately
2) Mrs.Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+36.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+20.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answer:
a) after 12.59 days the revenue will be equal
b) u just have to graph it
the second one is
a) the two solutions are x=4 and x=-4
b) x=-4 is not reasonable because time can’t be negative
c) after four seconds, the heights will be equal
Step-by-step explanation:
After 12.59 days the revenue for each game is the same. The two solutions of the system equation b(t) and p(t) are 4 and -4, and -4 is not a reasonable solution because time never be negative and after 4 seconds the rocket and the ball reach the same height.
1)
Given :
Math Game -- [tex]\rm M(d) = x^2-9x-10[/tex]
Reading Game -- R(d) = 2x + 10
It is given that after 'x' number of days the revenue for each game is the same, that is:
[tex]\rm x^2 -9x-10=2x+10[/tex]
[tex]\rm x^2 -11x-20=0[/tex]
Simplify the above quadratic equation.
[tex]\rm x = \dfrac{11\pm \sqrt{11^2-(4\times -20)} }{2}[/tex]
[tex]\rm x = \dfrac{11\pm \sqrt{201} }{2}[/tex]
x = 12.59 days
So, after 12.59 days the revenue for each game is the same.
The graph of both the revenue function is attached below.
2)
Given :
[tex]\rm b(t) =- t^2-2t+36[/tex]
p(t) = -2t + 20
The solution of this system can be determined by equating both the above function.
[tex]\rm -t^2 - 2t +36 = -2t +20[/tex]
Simplify the above equation.
[tex]\rm t^2 =16[/tex]
t = 4 and -4
a) The two solutions of the system are 4 and -4.
b) -4 is the solution is not a reasonable solution because time never be negative.
c) After 4 seconds the rocket and the ball reach the same height.
For more information, refer to the link given below:
https://brainly.com/question/2263981
need help with this
Answer:
[tex]-5x^2-26[/tex]
Step-by-step explanation:
[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]
Help please! I’m confused
Answer:
28 degrees
Step-by-step explanation:
hi! since m<ABC is 175 degrees and m<YBC is 147 degrees, we can subtract these to find m<ABY.
175-147= 28 degrees
A triangle has a 90° angle. What type of triangle is it?
Answer:
Its a right triangle
Step-by-step explanation:
Answer:
It is a right angle.
Step-by-step explanation:
Write a paragraph, flowchart, or 2-column proof for the following conjecture:
Given: angle 1 = angle 4
Prove: angle 3 = angle 2
Answer:
How I would write my paragraph:
If angle 1 is congruent to angle 4, angle 1 must also be congruent to angle 3 by the transitive property. This is because is angle 3 and angle 4 are vertical angles, and they must be congruent. If angle 1 is congruent to angle 3, then the two lines in the middle must also be parallel due to the converse of the corresponding angles theorem. Because the two lines in the middle are parallel, angle 3 must be congruent to angle 2 by the alternate interior angles theorem.
Step-by-step explanation: your welcome
Solve the equation: 3(x−3) + 2x= −49
A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3
sam bought 2 1/5 pounds of carrots for 6.60$. what is the unit rate in cost per pound
Answer:
The answer is 3.
Step-by-step explanation:
HELP DO ALL IF U CAN SORRY MY CAP ARE ON
0.07 = 0.07
0.07 > 0.06 (or any number greater than 0.07)
0.07 < 0.08 (or any number less than 0.07)
Answer:
1) 0.07 can only equal 0.07
2) > means greater than, so the answer would be anything greater than 0.07.
3) < means less than, so the answer would be anything less than 0.07.
I hope this helped you out...have an amazing day!! C:
Can someone please help me with this?
Answer:
Acute angle
Step-by-step explanation:
This would be an Acute since it's less the 90 degrees
It wouldn't be complementary since both angles don't add up to ninety
what is the anwser for the math problem below
what is 13÷236
PLEASE ANWSER ASAP.
Answer: 0.05508474576
Step-by-step explanation:
Find f(2) if f(x) = (x + 1)2. 9 6 5
I'll give brainiest if right
Answer:
x=2
Step-by-step explanation:
Please help it would be great
Answer:
120
Step-by-step explanation:
jUts bEcAusE
please helpp with this!!
Answer:
a) 83½
[tex]b)n = 4 \frac{1}{3} \: \: or \: \: n = - 4 \frac{1}{3} [/tex]
Step-by-step explanation:
Please see the attached pictures for full solution.
what is the distance from 8 to 0?
Answer:
8, because |8|=-8
Step-by-step explanation:
Absolute value is always positive, hence the answer.
Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 18, 24. Column 2 is labeled Distance in miles with entries 1.5, 2. Karleigh A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 30, 40. Column 2 is labeled Distance in miles with entries 3, 4. Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance? Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 10 EndFraction mile per minute. Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 10 EndFraction mile per minute.
Answer:
ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.
That is, S = D/t
Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have
S1 = D1/t
We can then say he ran a distance
D1 = t × S1
= 3600S1
Similarly, let's say Karleigh ran a distance
D2 = t × S2
= 3600S2
Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.
Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10
D1 = 3600 × 5
= 18000
D2 = 3600 × 10
= 36000
This makes D2 bigger than D1. this is an example i found on the internet.
Step-by-
hope this helps, good luck
The ratio of the change in distance to the corresponding change in time
gives the speed of a runner.
The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Reasons:
The tables are;
Andrew
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]
Karleigh
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]
The duration each on the treadmills is 1 hour = 60 minutes
[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]
Therefore;
[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]
[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]
Therefore;
Karleigh ran a greater distance The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Learn more about formula for speed here
https://brainly.com/question/24455685
how do you graph y= -1/4x + 6?
Answer:
First, you look at the y-intercept. It is positive 6 so you start at 6 on the y-axis. Then you look at the slope. It is negative 1/4. It is negative so the slope goes down and it goes down on the unit and 4 units right. That is how you graph y= -1/4x + 6
Please help, I'm stuck and really need this.
Answer:
r = 8
Step-by-step explanation:
To find the radius with only the area you do r = [tex]\sqrt{A/\pi }[/tex]
Since your area 64[tex]\pi[/tex] = 201.0619298 then 201.0619298/[tex]\pi[/tex] = 64
[tex]\sqrt{64}[/tex] = 8
Hope this helps!!
if two lines lie in the same plane and are perpendicular to the same line they are perpendicular true or false?
If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.
Parallel lines are those lines in which slopes are the same and the distance between them remains constant.
If a line is perpendicular to another then they will make 90 degrees at the intersection.
So if another line is also making 90 degrees it means both lines must be in the same direction so they will be parallel as given in the image below.
Hence "If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE".
To learn more about parallel lines;
https://brainly.com/question/16701300
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What is the value of n? help asap
Answer:
26
Step-by-step explanation:
Simplify (2a+5)6a^2
Can someone help please
Answer:
12a^3+30a^2
Step-by-step explanation:
6a^2(2a+5)
12a^3+30a^2
Can someone help me??
Answer:
the answer is 100% d I'm sure
Answer:
$1.17
Step-by-step explanation:
change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)
= 20 - (11.97 + 2.99 + 3.09 + 0.78)
= 20 - 18.83
= 1.17
Please help with these two math problems
1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =
Answer:
1. 7^(x-y)
2. z^5x^y
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
1.
[tex]\dfrac{7^x}{7^y}=\boxed{7^{x-y}}[/tex]
__
2.
[tex]\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}[/tex]
Find the number represented by the prime factorization. 2^2 x 3^2 x 5
Step-by-step explanation:
4* 9* 5
= 180
I think that is the answer
Hope it helps :)
The number represented by 2² × 3² × 5 is 180.
What is prime factorisation ?Prime factorisation is factoring a given composite number in terms of prime numbers multiplied with each other.
Prime numbers are those numbers which are only divisible by 1 and the number it self.There are 25 prime numbers from 1 to 100 and 47 prime numbers from 1 to 200.
According to the given question the number represented by prime factorisation 2² × 3² × 5 = 4 × 9 × 5 which is
= 36 × 5
= 180.
learn more about prime factorisation here :
https://brainly.com/question/24298927
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What is the greatest common factor of 72 and 2?
Answer:
the Greatest Common Factor (GCF) of 2 and 72 is 2
plz mark brainliest
Answer: the greatest Common Factor (GCF) is: 2
Step-by-step explanation:
To get the Greatest Common Factor (GCF) of 2 and 72 we need to factor each value first and then we choose all the copies of factors and multiply them:
*NOTE CAN PLEASE MARK ME AS BRAINLISST PLEASSE
A right triangle is drawn on the coordinate plane.
Apply a dilation with a scale factor of 1 to this triangle and draw the new triangle on the coordinate plane.
The large rectangle below represents one whole. A large rectangle with 25 equal sections, 11 of which are shaded What percent is represented by the shaded area?
fourty four percent hope this helps !