Tres números naturales consecutivos son tales que el cuadrado del número intermedio es 15 más que la suma de los otros dos. Sea mmm el número intermedio. Escribe una ecuación para mmm. Nota: no necesitas ingresar la ecuación en forma cuadrática.
Responder:
m² = 15 + 2m
Explicación paso a paso:
Tres números naturales consecutivos:
Número medio = m
Los otros dos números son; m - 1; m + 1
Por tanto, tenemos:
m - 1, m, m + 1
Cuadrado de m = (m - 1) + (m + 1) + 15
m² = 15 + (m - 1 + m + 1)
m² = 15 + (m + m)
m² = 15 + 2m
Pablo is on a road trip which will cover a distance of 840 miles. He plans to break the trip up and will complete it over three days. The distances and average speeds for the first two days are shown below.Day One: 55 hours at an average speed of 66 miles per hour. Day Two: 55 hours at an average speed of 58 miles per hour. If the average speed on the third day is 55 miles per hour, how many more hours will it take for Pablo to complete his trip?
Answer: 2.87 hours
Step-by-step explanation:
There may be a typo in the question because 55 hours in a day is not logical so you must have meant 5.5 hours.
In that case, the hours he will require on the third day would require the distance left to calculate. Get this distance from the first 2 days.
Day 1 distance travelled = Time * Speed
= 5.5 * 66
= 363 miles
Day 2 distance travelled = Time * Speed
= 5.5 * 58
= 319 miles
Total distance remaining
:= 840 - 363 - 319
= 158 miles
Travelling at 55 miles per hour, the time to be taken is:
= Distance remaining / Speed
= 158 / 55
= 2.87 miles per hour
3. Here is the graph for one of the equations in a system of two equations.
The solution to the system is (6,2). Select all the equations that could be the other equation in the system.
A. y - 3x
B. y ==x+6
C. y=*x+3
D. y = 3x - 1
E. y = $x-1
F. y - 4x-2
Answer:C,A
Step-by-step explanation:
Jaleesa was organizing items in a scrapbook. She took 60 photos and divided them evenly
between p pages. Which algebraic expression represents the number of photos on each
page?
A. p/60
B. 60/p
C. 60 - p
Answer:
The answer is B
Step-by-step:
Plot the image of quadrilateral ABCD under a reflection across line l.
Please answer!!!!
Answer:
Step-by-step explanation:
The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)
Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l
Method:
The coordinates of the vertices of the given quadrilateral ABCD are as follows
A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)
Due to its orientation, the line l can be taken as being equivalent to the y-axis
The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)
Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;
A(-2 0), reflected across the y-axis gives the image A'(2, 0)
B(-3, 4), reflected across the y-axis gives the image B'(3, 4)
C(0, 4), reflected across the y-axis gives the image C'(0, 4)
D(-1, 1), reflected across the y-axis gives the image D'(1, 1)
The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;
A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)
The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph
Learn more about transformations here:
https://brainly.com/question/21388875
What's the answer for this
(-6) x (-8) / (+2) - (-6²)
Show all the steps
Help please! This graph shows the number of miles a freight train travels over a period of time.
Answer:
50/1 or
50 is slope
Step-by-step explanation:
100/2 is the slope so 50/1
If 6 people share 1/2 of a cake, how much of the whole cake will each person get? Show your work.
Answer:
1/12 for each person
Step-by-step explanation:
draw a cake then cut it in half then make sure each side has six
then count all the total then each person gets 1 piece of the cake
Evaluate for x=2
|2x-18| + |3x-7|
Answer:
15
Step-by-step explanation:
2(2) - 18 = -14 |-14| = 14
3(2) -7 = -1 |-1| = 1
14+1=15
The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter? 34 POINTS I MARK BRAINLIEST!
Answer:
We suppose that a is the old price in cents
the total cost of 9.20 $ equals 920 cents
so we have 20 liters bought with the old price (a) and 10 liters with the new price (a + 2). This is translated into this equation where a is the old price therefore our quest to be answered
20 xa + 10 x (a + 2) = 920 (cents)
20 xa + 10 xa + 20 = 920
30 xa + 20 = 920
30 xa = 920 - 20
30 xa = 900
a = 900: 30
a = 30 (cents)
therefore the old price for 1 liter of petrol is 30 cents
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
help me on these 2 please
Solve for y. 75 = 5y Simplify your answer as much as possible.
Answer:
y = 15 is the answer
Step-by-step explanation:
divided 75/5 = 15
{ i hope i helped :) i'm sorry if its wrong }
What is negative 12 plus 12?
Answer:
0
Step-by-step explanation:
what is 2x8x9x8x7x6x5x4x3
Answer:
[tex]2903040[/tex]
Step-by-step explanation:
Answer:
2,903,040 is correct answer
Suppose that the height H of a Ferris wheel can be modeled by the function H(t)= -16cos(3.14t/45)+24, where is T is the time in seconds. What is the maximum height of the cabin?
The answer is H(t)=5(censored)(go do your work child)
Eight students share 12 mini oatmeal muffins equally and 6 students share 21 mini apple muffins equally. Carmine is in both groups. What is the total number of mini muffins carmen gets?
What is the value of x?
Enter your answer in the box.
x = []
need some help 20 pts
Answer:
-139, 1
Step-by-step explanation:
Question 14 : 5-144 = -139
Question 15 : -6--7 = -6+7 = 1
Hope I helped!
plz what’s the answer ???????????????
Answer:
x = 4
Step-by-step explanation:
Since both sides of the hanger must be equal, one can form an equation based on the given information;
14 = x + 3 + x + 3
Simplify,
14 = 2x + 6
Inverse operations,
14 = 2x + 6
-6
8 = 2x
/2
4 = x
Tiffany bought a shirt worth c dollars and got a discount of 8% on the original price. Which expression shows the total amount she paid?
Answer:0.92c
Step-by-step explanation:
Short equations way:
100%-8%=92%
Convert to decimal:0.92
0.92c
Which point lies on the line x + 3y = 7?
A. (3,1)
B. (1,-2)
C. (4,1)
D. (1,4)
E. (7,1)
Answer:
E.(7,1)
Step-by-step explanation:
−3x−9y=18
4x+3y=12
what is x and y
Answer:
x = 6 and y = -4 or (6,-4)
Step-by-step explanation:
In 1943, the temperature in Rapid City, South Dakota, fell about 45 degrees in 5 minutes. What was the average drop in temperature per minute?
Answer:
9
Step-by-step explanation:
it is 45/5 to know the temperature per minute
The length of a cell phone is 1.2 inches and the width is 2.4 inches. The company making the cell phone wants to make a new version whose length will be 1.44 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
What's the value of x? Enter your answer in the box.
x = {}
All three angles on a triangle always equal 180°.
Example: 100°+40°+40°=180°
102+39=141°
180-141=39°
x = 39°
-3+4x-10=1/2x
Please HELP
Answer:
x=26/7
Step-by-step explanation:
compare 1/2 and 1/6 fast
i need help
Answer:
1/2=3/6 1/6<3/6
1/6<1/2
Step-by-step explanation:
Which trait would be most influenced by environmental changes?
A.skin
B.eye color
C:blood type
d:life span
Answer:
life span ................
The traits affected by a change in the environment are:
Skin and life span.
Options A and C are the correct answer.
What is environmental change?Environmental change is the change in the physical nature such as the climate, weather, biosphere, food chain, atmospheric contents, etc.
We have,
The traits getting influenced by the change in environment are:
1) Skin
We see that our skin color becomes dark when we get more sunlight.
2)
Life span
If there is a change in the environment that disrupts the food chain and the basic survival elements.
Thus,
Skin and lifespan are the traits affected by changes in the environment.
Learn more about environmental change here:
https://brainly.com/question/28549893
#SPJ6
6^2 -(8-4) ^2 +7=
pls help I can’t fail math LOL
Evaluate
F(7) when f(x)=10x+3
Step-by-step explanation:
f(x) = 10x + 3
Then
f(7) = 10 * 7 + 3 = 70 + 3 = 73
Hope it will help :)