Answers
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
Related Questions
The larger of two numbers is 10 more than three times the smaller number the sum of the two numbers is 54 find the two numbers
Answers
Answer:
x = 11
y = 43
Step-by-step explanation:
x = small number
y = large number
Set up a system of equations:
y = 10 + 3x
x + y = 54
Solve system by substitution: x + 10 + 3x = 54
4x + 10 = 54
4x = 44
x = 11
x + y = 54
11 + y = 54
y = 54 - 11
y = 43
Write the exponent for the expression.
4x4
Answers
Answer: 4²
Explanation: First, we count the number of 4's to
find that we have 2 factors of 4.
So to write this problem in exponential form, we use a base
of 4 and an exponent of 2 which can be read as "4 to the 2nd power."
Answer:
4×4×4=64 to the power of 3=64
what is the answer to this question
Answers
Answer:
D is the answer
Step-by-step explanation:
If the function r(x) = f(x + 5), how can the graph of the function
r(x) be obtained from the graph of f(x)?
A. By translating the graph of f(x) five units to the right
B. By translating the graph of f(x) five units to the up
C. By translating the graph of f(x) five units to the left
D. By translating the graph of f(x) five units to the down
Answers
Answer:
letter b
Step-by-step explanation:
Please help me I need to pass
Answers
Answer:
option C is the correct answer
one number is 11 more than another number. find the two number if three times the larger number exceeds four times the smaller number by 4
Answers
Answer:
29
Step-by-step explanation:
n = smaller number
n + 11 = larger number
3(n + 11) = 4n + 4
3n + 33 = 4n + 4
33 = n + 4
29 = n
The variables y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8? Enter your answer as a decimal in the box. y =
Answers
Answer:
the answer is 19.2
Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?
|. Use the quotient rule to differentiate
II. Use the chain rule to differentiate sin(arcsin x) = 2.
III. Use implicit differentiation to differentiate the function y in the relation sin y = x with respect to z.
A) I only
B) Ill only
C) II and III only
D) I, II, and III
Answers
Answer:
B) Ill only
Step-by-step explanation:
This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain
d(siny)/dz = dx/dz
(cosy)dy/dz = dx/dz
dy/dz = (1/cosy)dx/dz
Find 4/9 of 6:9 in simplest form
Answers
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
A car travels 450km at 100km/h and 90km at 60km/h. Find its average speed?
Answers
Answer:
Average speed = 90 km/h
Step-by-step explanation:
Given that:
Distance covered at 100 km/h = 450 km
Time = [tex]\frac{Distance}{Speed}[/tex]
Time = [tex]\frac{450}{100}=4.5\ hours[/tex]
Distance covered at 60 km/h = 90 km
Time = [tex]\frac{90}{60}=1.5\ hours[/tex]
Total distance travelled = 450 + 90 = 540 km
Total time taken = 4.5 + 1.5 = 6 hours
Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]
Average speed = [tex]\frac{540}{6}[/tex]
Average speed = 90 km/hr
Hence,
Average speed = 90 km/h
Question 1
If the diameter of a circle is 5 meters, what is the circle's radius, in meters?
Answers
Answer:
2.5
Step-by-step explanation:
The radius is half of the diameter. 5 / 2 = 2.5
Answer:
2.5
Step-by-step explanation:
radius = Diameter ÷ 2
We plug the diameter value that we know
radius = 5 ÷ 2
Then Solve
5 ÷ 2 = 2.5
Done!
Remember diameter divided by two = the radius
Why? Because one radius is equivalent to 1 half. So we need two halves to form one full.
The diameter is the size of the full length which is why it is divided by two in order to form two halves!
Hope This Helps
Two lines that have the same y intercept, are always the same line.
TRUE OR FALSE?
Answers
Which of the following is equal to 4/7 - 4/7
. 0
. 1
. Undefined
. 1/7
Answers
Answer:
0 is the answer
Step-by-step explanation:
4-4=0
7-7=0
The school store sells yellow pencils, green pencils and red pencils. There are ten pencils of each color in a container. Tracy picks one pencil
from the container without looking.
What is the probability that she picks a green pencil?
A. 1/30
B. 1/10
C. 1/3
D. 3/3
E. 3/1
Answers
Answer:
Step-by-step explanation:
Total pencils = 10 + 10 + 10 = 30 pencils
Option A 1/30 is the correct answer
Item 2
Solve.
52 – 2x = 4
–28
–24
24
28
Answers
Answer:
24
Step-by-step explanation:
52-2x=4 (move the constant to the right)
-2x=4-52 (calculate)
-2x=-48 (divide both sides)
solution: 24
hope this helps!
i really need help with these statistics questions! thank you!
Answers
Answer:
a.) T b.) T
Step-by-step explanation:
Norman has $15 in his wallet which is 20% of the total amount of money he owns. How much
money does Norman have in total? (Create a linear model if needed.)
Answers
20% x 5 = 100% 15 x 5 = 75
Answer: $75 is the total money he has.
I am about to take a 2020-2021 math grade 5 unit 2 part 2 assessment what should i do?
Answers
Answer:
You should study for about 30-60 minutes and make sure your somewhere quite so you can focus. While you take your assessment you want water, and maybe some gum.
Peter is typing an essay for his science class. The essay needs to be 8,100 words long. Peter can type 25 words per minute. If Peter has 600 words typed so far, how many hours will it take for Peter to finish typing the essay
Answers
Answer:
5 hours or 300 minutes
Step-by-step explanation:
If Peter has already written 600 words, he has 7,500 words left to write. If he can write 25 words per minute, it will take 300 minutes for him to finish because 7,500/25=300. 300 minutes can be converted to 5 hours.
please answer all four pleaseee on the file its 100 points plzz answer it asap I also give brainliest
Answers
Answer:
Gene then pouts
Step-by-step explanation:
The graph shows the cereal consumption by Daniel's family. Which is the unit rate of
the proportional relationship shown in the graph?
Answers
Answer:1/5
Step-by-step explanation:
It’s goes 1/5 per time
At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5
pound box for $11.
a) What is the unit price for the first tomato option?
b) What is the unit price for the second tomato option?
c) Based on price, which is the better value option?
HELP ME PLEASE ITS TIMEDDDD
Answers
Answer:
a) $2.75
b) $2.2
c) Second tomato option is better value option.
Step-by-step explanation:
First option to buy tomatoes = $2.75 per pound
Second option to buy tomatoes:
To buy a box which is a 5 pound box and the price is $11.
To find:
a) Unit price for the first tomato option.
b) Unit price for the second tomato option.
c) Better value option on the basis of price.
Solution:
Let the consider the unit here to be a pound.
So, we will find the price of tomato per pound to find the unit price of tomato.
a) Unit price of the first tomato option is : $2.75 per pound
b) Unit price of the second tomato option:
Price for 5 pounds = $11
Dividing both sides with 5 to find the price of 1 pound or unit price.
Price for [tex]\frac{5}{5}[/tex] = 1 pound = [tex]\frac{\$11}5 = \$2.2[/tex]
c) To find the better value option, we can compare the unit prices of the two tomato options.
Here, we have the two tomato options with unit prices as:
$2.75 and $2.2
Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.
i giveeeeeeeeeeee brainlillstttttttttttt
Answers
Answer:
after reflection over y axis
a 9,7
b 9,6
c 0,6
d 0,7
Answer:
have a good day
Step-by-step explanation:
i support u
What is Express the difference in simplest form. 3 1/2 - 1 7/8
Answers
Answer:
2-6
Step-by-step explanation:
Ok Billy needs 90 lbs of garden soil to landscape a building. In the company storage area, he finds 2 cases holding 24 3/4 soil each, and a third case holding 19 3/8 lb. How much gardening does Bill still need in oder to do the job?
Answers
Answer:
1/3
Step-by-step explanation:
PLEASE HELP I PUT IT FOR 40 PIONTSSSSSSSS
Answers
Answer:
its only 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and I put 6 gallons and I paid $18.
Answers
Two slices of Dan's famous pizza have 250 calories.
How many calories are in 5 slices of pizza?
A. 620
B. 625
C. 630
D. 635
Answers
Answer:
625
Step-by-step explanation:
250 divided by 2 to figure out how many calories in each piece, then you get 125 and muliply it by 5!
Solve the system of equations by substitution X=-4y X+5y=2
Answers
Answer:
use -4y for x in the second equation
-4 y + 5 y = 2
so
y = 2
then x = -4(2) = -8
(-8 , 2)
Step-by-step explanation:
Answer:
X=-8, y=2
Step-by-step explanation:
Multiplying intergers practice look at pic
Answers
2)-6,014
3)-70
4)6,474
5)2,703
6)-5,795
7)1,679
8)1,488
9)6,510
10)513
11)-1,071
12)-660
Since you already know how to multiply, how you do this is when you see a negative sign your answer will come out as positive, and if there's no negative sign then your answer is positive. If there's 2 negative signs then your answer is positive.
(+)(+) = positive
(-)(+) = negative
(-)(-) = negative