Answer:
5
Step-by-step explanation:
You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.
It's the quadratic formula
x = [tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.
a is the coefficient of the first term in the expression, b is the second and c is the third.
so we get[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}[/tex] , which is the same as
[tex]x = \frac{10 + \sqrt{100 - 24(4)} }{2}[/tex]
and
x = [tex]x = \frac{10 - \sqrt{100 - 24(4)} }{2}[/tex]
The top part simplifies to [tex]\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5[/tex], which is your answer.
help plz
can someone simplify 3 to the power of 2 times 3 to the power of 3
Answer:
(9)(27) also 243
Step-by-step explanation:
So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm
Find 9079 + 1232 + 9786.
The temperature was recorded at the same time each day,
a)
Which temperature was the warmest?
b)
Which temperature was the coldest?
c)
How much colder was it on Thursday than on Saturday?
d)
On Sunday the temperature was 5°C lower than on Saturday.
What was the temperature on Sunday?
Answer:
a) The warmest temperature will be the one where the value of the temperature is the largest, in the table we can see that the largest temperature is 3°C on Saturday.
Then the largest temperature was on Saturday, and it was 3°C
b) Which temperature was the coldest?
Now we need to look at the smallest temperature (or the largest negative temperature). In the table we can see that the smallest temperature is -6°C on Friday.
Then the smallest temperature is -6°C.
c) On Thursday the temperature was -1°C
On Saturday the temperature was 3°C
The difference between the temperatures is:
-1°C - (3°C) = -4°C
This means that Thursday was -4°C colder than on Saturday.
d) On Sunday, the temperature was 5°C lower than on Saturday.
On Saturday the temperature was 3°C, then the temperature on Sunday is:
T = 3°C - 5°C = -2°C
The temperature on Sunday is -3°C.
Which quadrants are (-4,5) in
Answer:
Quadrant 2
Step-by-step explanation:
Take a look at the picture I added it should help you on futures questions like this :)
Describe the transformation below. Use words like translated, reflected, rotated, or dilated with a description.
Answer:
translated
Step-by-step explanation:
the shape slides to a new position, but nothing is changed size wise.
Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
8. A ship leaves port at 9:00 a.m. and has a bearing of N 70° W. The ship sails
at 18 knots. How many nautical miles north and how many nautical miles
west will the ship have traveled by 1:00 p.m.? Draw a picture!
Round to the nearest tenth.
9514 1404 393
Answer:
24.6 Nm north67.7 Nm westStep-by-step explanation:
In x-y coordinates, the direction is 70° CCW from 90° (north), so is 160° from the +x axis. In 4 hours at 18 Nm/h, the ship will travel 4×18 Nm = 72 Nm.
The coordinates in the x-y plane can be found to be ...
72(cos(160°), sin(160°)) ≈ (-67.7, 24.6)
The ship traveled 67.7 nautical miles west and 24.6 nautical miles north from the port.
The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how much would it be
wheoemslaowoaaueiedrs
2.' Which number has more factors: 125 or 200?
Answer:
200
Step-by-step explanation:
factors of 125 are 1, 5, 25, 125
factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 and 200.
Based on the number of factors of the two numbers, the number with more factors is 200.
The factors of 125 are:
1525125The factors of 200 are:
1245810254050100200The factors of 200 are 12 in total while that of 125 are only 4.
In conclusion, 200 has more factors than 125.
Find out more about factors at https://brainly.com/question/596862.
PLEASE PLEASE PLEASEEE HELP ME
Jamal needs to purchase a countertop for his kitchen. Jamal measured the countertop as 5 ft. The actual measurement is 4.5 ft. What is Jamal’s percent error?
A) 5%
B) 11%
C) 45%
D) 50%
Answer:
percent error is 11.1% (which agrees with answer B)
Step-by-step explanation:
The discrepancy (difference) between the measurement and the real length was: 5 - 4.5 = 0.5 ft
Then the percent difference is calculated as:
(difference / real value) * 100 = ( 0.5 / 4.5ft ) * 100 = 11.1%
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
The ratio of their perimeters is 3:5
Answer:
That is statement is true
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
can someone help? i really don’t u understand. question is in the picture
Hey!
So what it's asking for is the slope of the line. You can figure this out by finding two solid points on the line, such as (0,-1) and (4,2).
Knowing that these are two solid points, you can use the Rise/Run method to get the answer. The rise is how many units the slope rises (+) or falls (-) when getting to the next point. The run is how many units to the left or right it goes.
By following this, the slope is 3/4
Find the number that makes the ratio equivalent to 12:1.
?:6
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
What is the remainder of 96÷7
Answer:
13 reminder 7.
Step-by-step explanation:
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
which inequality is the solution to 20+2
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
PLEASE HELP ME!!!! 20 POINTS!!!!!!!
What is the correct expanded form and value of 4/5?
A. 4/5+4/5+4/5=12/5
B.4/5•4/5•4/5=64/125
C. 4+4+4+4/5=12/5.
D. 5/4•5/4•5/4=125/64
What does x equal
F.x=7
G.x=-7
H.x=13
J.x=-13
If four bicycle lamps cost £24 how much would seven lamps cost?
Plz answer correctly
Answer:
B) -1,-4,-7,-10,........
The first five terms
-1,-4,-7,-10,........
Step-by-step explanation:
Explanation:-
Given that the explicit rule
[tex]a_{n} = -3n +2[/tex]
Put n=1
⇒ a₁ = -3(1) +2
a₁ = -1
Put n=2
⇒ a₂ = -3(2)+2
a₂ = -6+2
a₂ = -4
Put n=3
a₃ = -3(3)+2
a₃ = -9+2
a₃ = -7
Put n=4
a₄ = -3(4)+2
a₄ = -12+2
a₄ =-10
The first five terms
-1,-4,-7,-10,........
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
Find out more on speed at: https://brainly.com/question/4931057
At a basketball game, a team made 53 successful shots. They were a combination of 1- and
2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were
2-point shots and 1-point shots.
Answer:
Let x be the number of 1 point shots, and y be the number of 2 point shots.
So the system is:
x+y=53
1x+2y=90
We can solve this system by substitution.
x+y=53, x=53-y
x+2y=90
53-y+2y=90
53+y=90
y=37
That means, the team made 37 two point shots.
If the team made 37 two point shots, the team scored 37 x 2, or 74 points from 2 point shots, meaning that it made 16 one point shots.
So the correct answer is: 16 one point shots, 37 two point shots.
Let me know if this helps!
i’m confused on this- can someone help me?
Answer: great adventure theme park is more expensive
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP BUT JUST PLEASE HELP ME
Answer: 50 miles
Step-by-step explanation:
Because 25 x 2 = 50
and 1 inch is 25 miles and 2 inches is then 50 miles
Answer:
C. 50 miles
Step-by-step explanation:
-4 ( ) = -16
-16= -8 ( )