Quadratic Equations and Functions - Part 2
Graphing Quadratics Using a Table
Independent Practice
1. A model rocket was launched from a podium 5 meters above ground at a
initial velocity of 98 m/s. The function that models height (in meters) with
respect to time (in seconds) is h(t) = 5 + 98t – 4.9t2.
Part A: Complete the table below.
Time (seconds)
0
5
10
15
20
Elevation (feet)
5
Answers
Answer:
See below
Step-by-step explanation:
Given function
h(t) = 5 + 98t – 4.9t²Part AFilling in the table using the function, substitute t for each line:
time | elevation
0 | 5
5 | 372.5
10 | 495
15 | 372.5
20 | 5
Part BThe graph is attached
When the ball hits the ground, the height is 0. Substitute 0 for
h
.
h
=
−
16
t
2
−
10
t
+
200
0
=
−
16
t
2
−
10
t
+
200
−
16
t
2
−
10
t
+
200
=
0
This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,
x
=
−
b
±
√
b
2
−
4
a
c
2
a
. In this case, the variable is
t
rather than
x
.
a
=
−
16
,
b
=
−
10
, and
c
=
200
.
t
=
−
(
−
10
)
±
√
(
−
10
)
2
−
4
(
−
16
)
(
200
)
2
(
−
16
)
Simplify. Be very careful with the signs.
t
=
10
±
√
100
+
12800
−
32
=
10
±
√
12900
−
32
Use a calculator to find both roots.
t
is approximately
−
3.86
or
3.24
.
Consider the roots logically. One solution,
−
3.86
, cannot be the time because it is a negative number. The other solution,
3.24
seconds, must be when the ball hits the ground.
Answer
The ball hits the ground approximately
3.24
seconds after being thrown.
Related Questions
please explain for me how to do this
if the measure of arc WZX is 262 what is the measure of angle XWY?
Answers
Answer:
Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*
Step-by-step explanation:
Help please and show work
Answers
Use the formula for the circumference which is 2xpiXradius
2x3.1415x7=44 to nearest integer
Solve the equation.
1.5x + 6 = 18
Answers
Hope this helps!!!
Subtract 6
1.5x=12
Divided by 1.5
X=8
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
Which of these answers best describes the core?
Answers
classify point C
A. centroid
B. circumcenter
C. orthocenter
D. incenter
PLS HELP PLS
Answers
please help immediately this is 2 days late
Answers
Answer:
51
Step-by-step explanation:
How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?
Answers
Answer:
x=1
Step-by-step explanation:
you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
x=1
Answer:
(1,2)
Step-by-step explanation:
1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:
[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]
2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:
[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]
So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).
HELP!!!!! Algebra II Help needed
Find a formula for the nth term of the arithmetic sequence.
First Term -2
Common Difference 8
Gotten this far:
an=8n+?
Thank you!!!
Answers
Answer:
[tex]a_{n} = 8n - 10[/tex]
Step-by-step explanation:
[tex]a_{n} = a_{1} + (n - 1)d[/tex] is the formula you want to use
[tex]a_{n} = -2 + (n - 1)8[/tex]
= -2 + 8n - 8
= 8n - 10
It is about 780 miles from George Washington's hometown of Mount Vernon.Virginia to Abaraham Lincoln's Hometown of Springfield, Illinois. If you were to drive without stopping at 30mph,from Springfield to Mount Vernon, How many minutes Would you take to get there ? Answer asap with a picture pls
Answers
Answer: 26
Step-by-step explanation: well I don't know the unit but miles is distance so we have to divide 780/30 which is 26 as my calculator says so the answer is 26 and if you think am wrong sorry you can just divide 780/30 and see the answer.
A(n) _____ inequality is an inequality involving a quadratic expression.
A. Quadratic
B. Linear
C. Absolute value
D. Rational
Answers
Answer:
Step-by-step explanation:
A.Quadratic
Find the area of this composite figure.
Answers
Answer: 242 in²
All the work is shown in the picture.
A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft
Answers
Answer:
Step-by-step explanation:
An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place
The horizontal distance that the ramp will take up is a) 22.9 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The vertical or opposite distance is 2 feet and it has an angle of 5°.
∴ The horizontal or adjacent distance can be obtained by tan(theta).
Assuming horizontal distance to be x feet.
∴ tan(5°) = 2/x feet.
x = 2/tan(5°).
x = 22.9 feet.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
3 1/3 + (-2 1/4) + 1 5/6
Help me out?
Answers
Answer:
its the second one
Step-by-step explanation:
Find the value of x to the nearest tenth 26.2 32.4 39.8 40
Answers
Answer: 39.8
Step-by-step explanation:
I just did it on edge 2021.
(a-4) (6a²+ 10a-3) simplify.
Answers
Answer: 6a³-14a²-43a+12
Step-by-step explanation:
Explanation is in picture.
Can someone please help me with this questions
Answers
Step-by-step explanation:
a. 3⁴
b. 7⁵
c. 10²
d. 5⁷
Hope this helps?
Find the measure of angle b
Answers
Answer:
26˚
Step-by-step explanation:
Since there is already two angles (The square in the corner shows that the angle is 90˚)
So subtract 90˚ with 64˚ which is 26˚
Answer:
this whole angle is equal to 90°
so the value of angle b = 90°-64°
so the value of b= 26.
What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1) and (7, 1)?
Answers
9514 1404 393
Answer:
y = 3
Step-by-step explanation:
The slope formula can be used to find the slope of the parallel line.
m = (y2 -y1)/(x2 -x1)
m = (1 -1)/(7-(-2)) = 0
The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.
y = 3
_____
If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...
y = 0x +3
It is pretty unusual to keep 0 terms in an equation. Usually, they are eliminated when the equation is simplified.
1 15/8+ 1 10/8=
help me
Answers
Answer:
5 1/8
Step-by-step explanation:
1 [tex]\frac{15}{8}[/tex]
+ 1 [tex]\frac{10}{8}[/tex]
2 [tex]\frac{25}{8}[/tex] = 2 + 3 [tex]\frac{1}{8}[/tex] = 5 1/8
i don’t understand this
Answers
Answer:
Step-by-step explanation:
You simply need to assign 1 to n if you wanna know what is a1. Then, a1 turns to 6 cuz a1 means 3×1 + 3. Step by step, assign 2,3,4,5 to n and you'll get the right answers!
Will give random brainliest if 10 users comment or answer and put #brainliest
Answers
Answer:
#brainliest
Step-by-step explanation:
tghfue7hbjdj I o
Answer:
HEY
#brainliest
Step-by-step explanation:
What is the measure of the angle in degrees? (Write number in answer only)
7080
60
50
| | +90 +
10 20 30 40
180 170 160 150 140 130 120 110
-
60 50 40 30 20 10
120 130 140 150 160 170 180
0
Answers
Answer:
it is 35 degrees
Step-by-step explanation:
I am sure of it
The measure of the angle indicated is 35 degrees
ProtractorProtractor is a mathematical measuring instrument use to measure angles. Therefore, A protractor is in the shape of a semi circle.
A protractor has degrees marked clockwise from 0° to 180° in the outer scale and anti-clockwise from 0° to 180° in the inner scale.
From the blue lines indicated above the angle was marked at 0 degrees and ended in 35 degrees,.
Therefore, the angle measure of the angle is 35°
learn more on protractor here: https://brainly.com/question/2786963
6 ft
3 ft
6 ft
15 ft
Find the area of the figure above.
Answers
Answer:
15ft
Step-by-step explanation:
if you mean the area that is blank
(Tell me if i'm wrong)
Answer:
the answer would be 90 because the big triangle is 72 and the rectangle is 18
Can someone help me with this?
Answers
9514 1404 393
Answer:
x = 10y = 7.5Step-by-step explanation:
The ratio of the larger to the smaller corresponding sides is ...
12.5/5 = 2.5
That means ...
x = 2.5 × 4 = 10
y = 2.5 × 3 = 7.5
Which value will change most when
13 is added to the data set?
0, 6, 4, 5, 3, 3, 2
A mean
B median
C mode
D outlier
Answers
Answer:
it's the mean bc mode and median will not change and that outlier is the one that's different but they are all diff
help pls all questions are in the photo
will give brainliest
Answers
-n - 6n + 4 = 53
(Combine like terms)
-7n + 4 = 53
-7n = 53 - 4
-7n = 49
n = -7
14 = 6n + 6 - 2n
(Combine like terms)
14 = 14n + 6
-4n = 6 - 14
-4n = -8
n = 2
Someone please help me with this
In a bag, there are red and green marbles in the ratio of 2:7. If there are 27 marbles in the bag, how many of them are green?
7
21
10
18
Answers
Answer:
21
Step-by-step explanation:
2 + 7 = 9
27/9 = 3
3 times 7 = 21
A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?
Answers
Answer: 9 feet below the surface.
Step-by-step explanation:
The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:
Position = -40ft
Where the negative sign is because it is below the surface of the water, so
"He swam up 12 feet to see a unique fish."
Now we need to add 12ft
Then his new position is:
Position = -40ft + 12 ft = -28ft
"He followed the fish down 8 feet.
Now we need to subtract 8ft
His new position is:
Position = -28ft - 8 ft = -36 ft
"Then he followed the fish up 27 feet."
Now we add another 27 ft.
The final position will be:
Position = -36ft + 27ft = -9ft
Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.
Identify the underlined portion of the sentence below:
Abel
Sylvia bought her mother a beautiful necklace on her birthday
a. Subject
с. Direct Object
b. Verb
d. Indirect Object
Answers
Answer:
subject subject subject
