Answers
Given:
The graph of a parabola.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:
[tex]Domain=[-3,\infty)[/tex]
The given function values can be any real number. So, the range of the given graph is:
[tex]Range=(-\infty,\infty)[/tex]
For x=0, we have two values of the function because the graph intercept the y-axis at two points.
Since the graph does not pass the vertical line test therefore the given graph is not a function.
Related Questions
Laura takes 80 steps to walk across her local park.
Laura's steps are 70 centimetres long.
Her sister Kara's steps are 80 centimetres long.
How many steps does Kara take to walk across
the park?
a. 45
b.56
c.70
d.80
Answers
Answer:
c. 70
Step-by-step explanation:
Laura’s steps are 70cm, and she takes 80 steps, which would give her a total length of 5600cm. Kara’s steps are 80cm, so we have to divide 5600cm by 80cm. This means Kara takes 70 steps to walk across the park.
Dakota paid $48.60 for a new backpack, and this included an 8% sales tax. What is the price before tax.
Answers
Answer:
The price before sales tax was added was $9.72.
Step-by-step explanation:
48.60 x 0.8 = 38.88 (Sales tax price)48.60 - 38.88 = 9.72 (Price before sales tax)You throw a ball at a height of 5 feet above the ground. The height h (in feet)
of the ball after t seconds can be modeled by the equation h=-16tsqaured +44t +5
A. After how many seconds does the ball reach a height of 15 feet?
B. After how many seconds does the ball hit the ground? Round your answer
to two decimal places.
Answers
Answer:
A. After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. 2.86 sec is the time it takes to hit the ground
Step-by-step explanation:
A. let h = 15
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = .25
After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t. (I will let you do that)
t = 2.85929... or t = -.10929...
t cannot be negative, so 2.86 sec is the time it takes to hit the ground
The answer of A is After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.
A. let h = 15
What is the quadratic equation?
[tex]ax^2+bx+c=0[/tex]
a, b, c = known numbers, where a ≠ 0
x = the unknown
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = 0.25
After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t.
t = 2.85929... or t = -.10929...
t cannot be negative, So 2.86 sec is the time it takes to hit the ground.
To learn more about the quadratic equation visit:
https://brainly.com/question/1214333
#SPJ2
Consider the following sequence
[tex]1,1,\frac{3}{4} ,\frac{4}{8}[/tex]
find the nth term such that n > 0
Answers
9514 1404 393
Answer:
2n/2^n
Step-by-step explanation:
It appears that the terms are ...
[tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]
That is, the numerator is counting numbers, and the denominator is powers of 2.
[tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]
3. Mrs. Lopez, a counselor at Round Rock High School. found that 18% of the students had a math class first period. If there are 800 students at the school, how many students are NOT in a math class for first period?
Answers
Answer:
656 students
Step-by-step explanation:
18% of 800 is 144, and 800-144= 656 :)
A trade magazine routinely checks the drive-through service times of fast-food restaurants. Upper AA 9595% confidence interval that results from examining 773773 customers in one fast-food chain's drive-through has a lower bound of 169.0169.0 seconds and an upper bound of 172.2172.2 seconds. What does this mean?
Answers
Answer:
One can be 95% confident that the drive-through service times of fast-food chain is between 169 seconds and 172 seconds.
Step-by-step explanation:
The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)
I need answer not links
Answers
Answer:
3
Step-by-step explanation:
3 is the A value.
HELP!!! answer quickly pls
Answers
Answer:
X-axis
Step-by-step explanation:
Riley took 5 tests in science. Each test had a different score. The mean score of the tests was 90%. The median score of the tests was 85%. Based on this information, select the two statements that must be true.
A: More than half of the scores were 85% or greater.
B: More than half of the scores were 90% or greater.
C: There were no scores less than 85%
D: There were no scores less than 90%
E: At least one score was exactly 85%
F: At least one score was exactly 90%
Answers
Answer:
A: More than half of the scores were 85% or greater.
E: At least one score was exactly 85%
Step-by-step explanation:
Here the 5 test would be taken in science so 85% would be the result of one of the test
Also 85% represent the median so it means there are 2 values more and 2 values less
So there are 3 results with 85% or greater
Hence, the option A and Option E is correc
And, the rest of the options are wrong
Answer:
A and E
Step-by-step explanation:
The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360
Answers
Answer:
B
Step-by-step explanation:
120/360 54
52nd term of arithmetic sequence 5,9,13
Answers
Answer:
209
Step-by-step explanation:
the Nth term is 4n plus 1
substitute 52 into n
4 times 52 is 208
208 plus 1 is 209
Answer:
201
Step-by-step explanation:
52 (amount of terms) - 2 (terms shown other than 5) = 49 * 4 = 196 + 5 = 201
HELP WILL MARK BRAINIEST NO LINKS!!
Answers
Answer:
length - 80
width - 80
Step-by-step explanation:
95*2 = 190
65*2 = 130
190+130 = 320
320/4 = 80
80 x 80 = 6400
95 x 65 = 6175
6400 > 6175
80 x 4 = 320 = both perimeters
1
Ms. K. has $63 in her bank account. A store credit her account with a $15 refund. How much does she now have
in the bank?
Answers
Answer:
48
Step-by-step explanation:
A recliner chair is normally $750 is discounted to $600. What is the percent discount?
Answers
Answer:
20%
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 750 × 20/100
Discount = 750 x 0.2
You save = $150.00
Final Price = Original Price - Discount
Final Price = 750 - 150
Final Price = $600.00
Answer:
20%
Step-by-step explanation:
Just multiply 750 by 20%, and you will get 150. Subtract and you will get 600. That means my answer is correct.
Good Luck!
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
3/4
of the drink is apple juice and
1/10
is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answers
Answer:
3:15:2 is the simplest form
g) 4−6
/9
=
1
/3
+ x
Answers
Answer:
x = 3
Step-by-step explanation:
Given
4 - [tex]\frac{6}{9}[/tex] = [tex]\frac{1}{3}[/tex] + x ( multiply through by 9 to clear the fractions )
36 - 6 = 3 + 9x
30 = 3 + 9x ( subtract 3 from both sides )
27 = 9x ( divide both sides by 9 )
3 = x
Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a^2 +b^2?
Answers
Answer:
19
Step-by-step explanation:
a-b=3 ab=5
a²+b² = (a-b)²+2ab ( a general formula)
= 3²+2×5
=9+10 = 19
Someone please help
Answers
The length of the base of a rectangle is increased by 10% but the area remains unchanged. By what percent was the breadth reduced?
Answers
Answer:
9.09%
Step-by-step explanation:
Area of a rectangle = length x breadth
to determine the answer, i would use an example
Assume length = 10
breadth 20
Area = 10 x 20 = 200
If the length is increased by 10%, the new length becomes = 1.1 x 10 = 11
11 x b = 200
b = 200/11 = 18.181818
Percentage reduction = (18.181818 / 20) - 1 = 0.0909 = 9.09%
Which set does not contain a rational number?
Answers
Answer:
[tex]\sqrt{21}[/tex], π, [tex]\sqrt{75}[/tex]
Step-by-step explanation:
this set contains only irrationals
x-intercept of 5 and a y-intercept of -4.
Write this street's equation in slope intercept form.
Answers
Answer:
y = 5x -4 or you could also write y = 5x + -4
it's still the same thing.
Step-by-step explanation:
answer asap ----------------------
Answers
Answer:
BC ≈ 15.01
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan65° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{7}[/tex] ( multiply both sides by 7 )
7 × tan65° = BC , then
BC ≈ 15.01 ( to the nearest hundredth )
The sum of four and twelve is??
Answers
Answer: 16
Step-by-step explanation:
12+4= 16
change 45% into decimal
Answers
find the angles of a cyclic quadrilateral ABCD in Angle A = (4x+20 )^0 , Angle B = (3x+5 )^0 , Angle C =(4y)^0 , Angle D = (7y-5)^0
Answers
Answer:
<A = 120degrees
<B = 80degrees
<C = 60degrees
<D = 100degrees
Step-by-step explanation:
For a cyclic quadrilateral, the sum of the adjacent angle of the quadrilateral are equal, hence;
<A + <C = 180
<B + <D = 180
Substitute the given values
4x+20+4y = 180
4x+4y =1 60
x + y = 40 ...1
Similarly;
3x+5+7y - 5 = 180
3x+7y = 180 ....2
Solving simultaneously
x + y = 40 ...1 .....* 3
3x+7y = 180 ....2 ...... *1
__________
3x + 3y = 120 ...1 .
3x+7y = 180 ....2
Subtract
3y - 7y = 120 - 180
-4y = -60
y = 15
Since x+y = 40
x + 15 = 40
x = 40 - 15
x = 25
<A = 4x+20
<A = 4(25)+20
<A = 120degrees
<C = 180 - <A
<C = 180 - 120
<C = 60degrees
<B = 3x+5
<B = 3(25)+5
<B = 80degrees
<D = 180 - <B
<D = 180 - 80
<D = 100degrees
Please help.
See pic attached
WINNER GETS BRAINLIEST, THANKS AND A STAR RATING-EXCELLENT
Also please friend request me and I'll accept it.
Thanks xx
Answers
Answer:
400
Step-by-step explanation:
4/5 yo just times by a 100 to get your answer 400/500
Ben invests $4300 in two different accounts. The first account paid 7%, the second account paid 4% in interest. At the end of the year he had earned $247 in interest. How much was in each account?
Answers
Explanation
first account 7%= 7/100(247)
$17.29
second account 4%= 4/100(247)
$9.88
HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=??
Answers
Answer:
130
Step-by-step explanation:
(6-2)180=720
720-590=130
PLZZZZZZZZZZ HELP ITS FOR A TEST!!!The question is in the blue, the way I want you to solve it is the second one
Answers
Please Answer This, the question is on the picture.
will mark brainllest if its right
Answers
Answer:
x = 10.7
Step-by-step explanation:
cos 48° = x/16
0.6691 = x/16
x = 10.7