write an equation to represent the linear relationship in the table
Answer:
I think
Y=129x-75
Step-by-step explanation:
Sorry if it's wrong I am not as good at math like I was before
An object is thrown into the air. The equation for the object's heights at
time t seconds after launch is H(t) = -4.9t2 + 13.4t + 24.9, where H is in
meters.
Missing Part of the Question:
- The time required for the rocket to reach its maximum height
- The maximum height of the rocket
Answer:
a. Time to reach maximum height is 1.37 seconds
b. Maximum Height = 34.1 metres
Step-by-step explanation:
Given.
H(t) = -4.9t² + 13.4t + 24.9
Solving (a): Time taken to reach maximum height.
A quadratic equation is:
f(x) = ax² + bx + c
Where
a = -4.9
b = 13.4
c = 24.9
This required time is represented by the vertex and is calculated as thus:
t = -b/2a
Substitute values for b and a
t = (-13.4)/(2 * -4.9)
t = -13.4/(-9.8)
t = 13.4/9.8
t = 1.37 (approximated)
Hence the time to reach maximum height is 1.37 seconds
b. Maximum height
Here, we simply substitute 1.37 for t in
H(t) = -4.9t²+ 13.4t + 24.9
Maximum Height = -4.9 * 1.37² + 13.4 * 1.37 + 24.9
Maximum Height = -4.9 * 1.8769 + 13.4 * 1.37 + 24.9
Maximum Height = -9.19681 + 18.358 + 24.9
Maximum Height = 34.06119
Maximum Height = 34.1 metres (approximated)
PLEASE HELP i don’t understand
Answer:
29.7
Step-by-step explanation:
y = 2.7x + 2.7
y = 2.7(1) + 2.7 = 5.4
y = 2.7(2) + 2.7 = 5.4 + 2.7 = 8.1
y = 2.7(3) + 2.7 = 8.1 + 2.7 = 10.8
y = 2.7(4) + 2.7 = 10.8 + 2.7 = 13.5
y = 2.7(10) + 2.7 = 27 + 2.7 = 29.7
Three less than “x” is equal to 13.
Answer:X=16
Step-by-step explanation:
16-3=13
Answer:16
Step-by-step explanation:16-3=13
Solve using the quadratic formula: 5x2 + 5x = -5
Need help with this please!!
Answer:
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0
Can someone help me with my algebra?
Answer:
C. -3
Step-by-step explanation:
You can do this using two different methods.
First, slope is written rise over run, or y over x. We can find two points and count how much we need to rise and run. The graph already includes the points (2,-3) and (-1, 6), which we will use. If you carefully look at the graph, you can see that if you start from the point (2,-3), you can rise 9 and run -3 to get to the point (-1, 6), which brings me to the next step. As I stated in the beginning, slope is written rise over run. Therefore, the slope is 9/-3, which simplifies to -3, answer choice C.
Another way you can do this is subtracting the y's and subtracting the x's in the same order. The y's go over the x's, and is basically written as a fraction. For this method, we still need two points. We will use the same points as above and listed on the graph, points (2,-3) and (-1, 6). The y's are -3 and 6, and the x's are 2 and -1. Now, subtract.
-3-6 =-9=-3
2-(-1)= 3
As you can tell, both methods of solving for slope worked, and the answer is choice C.
I hope this helps you!! Have a great day ^^
7th grade math need asap. Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Answer:
5 Laps
Step-by-step explanation:
The question says that she runs the same distance everyday. This shows us that...
2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles
We can turn laps into the variable L and miles into the variable M to create an equation
2 L + 6 M = 4 L + 2 M
We can start by subtracting 2 M from both sides to get:
2 L + 4 M = 4 L
Now, we can subtract 2 L from both sides
4 M = 2 L
This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.
Now, we can break down either side of the equation. Let's break down
2 L + 6 M
First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:
2 L + 3 L
Now, we can simplify this :
5 L
Now we know that she ran 5 laps on saturday.
Hope this Helps!!! :)
Let me know in the comments if this answer was perfect or if I should change anything!!!
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
[tex]\approx \frac{11}{40}[/tex]
Step-by-step explanation:
Juice squeezed from first orange = [tex]\frac{4}{17}[/tex] = 0.235
Juice squeezed from second orange = [tex]\frac{3}{10}[/tex] = 0.3
Juice squeezed from third orange = [tex]\frac{9}{20}[/tex] = 0.45
Juice squeezed from fourth orange = [tex]\frac{3}{11}[/tex] = 0.27
Juice squeezed from fifth orange = [tex]\frac{7}{15}[/tex] = 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 [tex]\approx \frac{11}{40}[/tex]
Therefore, to make it 2 cups of orange juice for the family, about [tex]\approx \frac{11}{40}[/tex] cups of more juice is required.
Answer:
1 5/6
Step-by-step explanation: this is what i got from doing the math. please correct me if I'm wrong
HELP! I’m not even ahlf way doen!
what is an equation of the horizontal line that passes through, (5,-7)?
cosA - sinA / cosA + sinA= sec2 A - tan2A
Answer:
please mark me brainlist
Step-by-step explanation:
SEC2A -TAN2A
1/COS2A - SIN2A/COS2A
1-SIN2A/COS2A
1-2SINACOSA/COS^2A-SIN^2A
COS^2A+SIN^2A-2SINACOSA/COS^2A-SIN^2A
(COSA-SINA)*(COSA-SINA)/(COSA-SINA)*(COSA +SINA)
(COSA -SINA)/COSA+SINA
Planet Fitness charges a $5 per month plus a
one-time membership fee of $60.
a.) Write a linear equation for the situation
where x is the number of months and y
is the total cost.
b.) How many months have passed if you
paid $114? SHOW ALL WORK.
The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1996 his card was worth $5.71 The value has increased by $1.98 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2002 ?
Answer:
Step-by-step explanation:
The number of years between 1996 to 2002 will be:
= 2002 - 1996
= 6 years
The relationship relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of:
y = 5.71 + 1.98x
where x = 6 years
y = 5.71 + 1.98(6)
y = 5.71 + 11.88
y = $17.59
The value of the card in 2002 is $17.59.
The relationship between x and y isn't proportional in this case.
Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If the bag has 21kg of feed, how much do the goats in field A get?
Answer:
[tex]Feeds = 11.76kg[/tex]
Step-by-step explanation:
Given
[tex]Field\ A= 56\%[/tex]
[tex]Field\ B= The\ rest[/tex]
[tex]Bag = 21kg\ feed[/tex]
Required
Determine how much goats in field A, get.
To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds
i.e.
[tex]Feeds = 56\% * 21kg[/tex]
Convert percentage to decimal
[tex]Feeds = 0.56 * 21kg[/tex]
[tex]Feeds = 11.76kg[/tex]
Hence, goats in field A get 11.76kg of feeds
Calculate the rate of change for the following data:
x y
-1 5
2 -4
7 -19
10 -28
-3
4
-9
6
Answer:
Step-by-step explanation:
The answer is -3
i just took the quiz and got it right
The rate of change for the given data is -3. Therefore, option A is the correct answer.
The coordinates from the given data are (-1, 5) and (2, -4).
What is rate of change and initial value of a function?The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.
Here, (x1, y1)=(-1, 5) and (x2, y2)=(2,-4)
Rate of change = (-4-5)/(2+1)
= -9/3
= -3
The rate of change for the given data is -3. Therefore, option A is the correct answer.
Learn more about the rate of change and initial value here:
https://brainly.com/question/8223651.
#SPJ2
Find the value of x and give a reason for the relationship between the angles
Answer:
x = 19
Step-by-step explanation:
(5x + 2)° + 83° = 180°
✍️Reason: both are linear pair angles. Linear pair angles are supplementary.
Solve for x
5x + 2 + 83 = 180
5x + 85 = 180
Subtract 85 from both sides
5x = 180 - 85
5x = 95
Divide both sides by 5
x = 95/5
x = 19
Given
mZQPS = 47°
mZRPS = 3x – 38°
mZQPR = 72 - 95°
Find mZQPR:
Answer:
47
Step-by-step explanation:
What is the value of y?
Answer:
Step-by-step explanation:
(12,5)
please help me:)
For problems 13-19, transcribe the following expressions: (Write it out.)
Example: z + 4 = z plus 4
13. xy
14. 7/t - 4
15. 22 + t 2
16. 51 - x
17. x – y^2
18. 36/12 + 12
19. ab - 16
4/6 + 1/12. Quick answer.
nvm lol 3/4( had to redo
What is the length of side BC of the triangle?
Enter your answer in the box.
units
Answer:
BC is 28
Step-by-step explanation:
HURRY PLEASE IM BEGGING
identify the pairs of supplementary angles (multiple answers “check all that apply”)
Answer:
f
Step-by-step explanation:
Steve saw 313 birds during a bird-watching trip to Yellowstone National Park. He observed 15 more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?
Answer:
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
Step-by-step explanation:
Total birds = 313
Let
trumpeter swans = t
sand-hill cranes = s
chickadees = c
dusky grouses = d
t = 15 + s
c = 2d
d = 2t
t + s + c + d = 313
(15+s) + s + 2d + d = 313
15 + s + s + 2(2t) + 2t = 313
15 + 2s + 4t + 2(15+s) = 313
15 + 2s + 4(15 + s) + 30 + 2s = 313
15 + 2s + 60 + 4s + 30 + 2s = 313
105 + 8s = 313
8s = 313 - 105
8s = 208
s = 208 / 8
= 26
s = 26
t = 15 + s
= 15 + 26
= 41
d = 2t
d = 2(41)
= 82
c = 2d
c = 2(82)
= 164
trumpeter swans = t = 41
sand-hill cranes = s = 26
chickadees = c = 164
dusky grouses = d = 82
Hai's teacher writes the equation 3x - 4 = 2(x + 3) + x. Hai concludes that the
equation has infinitely many solutions. Is Hai correct? Explain.
Answer:
Hai is incorrect, there is no solution to this equation.
Step-by-step explanation:
1.) Expand.
3x-4=2x+6+x3x−4=2x+6+x
2.) Simplify 2x+6+x2x+6+x to 3x+63x+6.
3x-4=3x+63x−4=3x+6
3.) Cancel 3x3x on both sides.
-4=6−4=6
4.) Since -4=6−4=6 is false, there is no solution.
Therefore, this equation has no solution
what is 12x12+3405-345+78-3?
Brainliest
Answer:
Dont know thanks me!!!
Step-by-step explanation:
Answer:
3279
Step-by-step explanation:
math
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
Your mather bougth 20 kilos of mangoes and atis combined. Mango is P 60.00per kilos and atis is P 40.00 per kilos.If she paod P 1000.00 for 20 kilos, how many kilos of each kind mather bought A.)Ifx is number of kilos mango and number of kilos of atis then the eguation is ? B.) Eguation for the cost of fruits. C.) The system of eguations are ? D.) Solve by any method. E.) Check if your result will satisfy the problem.
Answer:
A) [tex]x+y=20[/tex]
B) Cost function is: [tex]3x+2y = 50[/tex]
C) [tex]x+y=20[/tex], [tex]3x+2y = 50[/tex]
D) [tex]x=10, y=10[/tex]
E) Yes, the result satisfies the equations.
Step-by-step explanation:
Let number of kilos of mango bought = [tex]x[/tex]
Let number of kilos of atis bought = [tex]y[/tex]
Total number of kilos bought = 20
A) [tex]x+y=20[/tex]
Cost of mango per kg = 60
Cost of mango for [tex]x[/tex] kg = [tex]60x[/tex]
Cost of atis per kg = 40
Cost of mango for [tex]y[/tex] kg = [tex]40y[/tex]
Total cost is: Cost of mango + Cost of atis = 1000
B) Cost function is:
[tex]60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)[/tex]
C) System of equations are:
[tex]x+y=20[/tex] ...... (1)
[tex]3x+2y = 50[/tex]...... (2)
D) Using elimination method:
Multiplying equation (1) with 2 and subtracting from (2):
[tex]x = 10[/tex]
By equation (1):
[tex]\Rightarrow y =10[/tex]
E) Putting both the values in LHS of equation (1):
10+10 = 20 = RHS
Putting both the values in LHS of equation (2):
[tex]3\times 10 +2\times 10[/tex] = 50 = RHS
Yes, the result satisfies the equations.
Answer:
What is it?
Step-by-step explanation:
what is the domain of g?
Answer:
(4,-5) is the answer
hope it helps you!!!!!!!
Step-by-step explanation:
.
Answer:
actual answer
Step-by-step explanation:
What is the oblique asymptote
Answer:
y = x - 5
Step-by-step explanation:
I just got it right on edge2020