The function f(x) = x2 - 4x + 5 is shown on the graph.
Which statement about the function is true?
1. The domain of the function is all real numbers less
than or equal to - 2.
2. The domain of the function is all real numbers less
than or equal to 9.
3. The range of the function is all real numbers less than
or equal to -2.
4. The range of the function is all real numbers less than
or equal to 9.
Answers
Answer:
4. The range of the function is all
real numbers less than or equal to 9.
Related Questions
Help !! Pls :3:’dnmdnsnms
Answers
The congruent reason for the triangles is (b) HL theorem
How to determine the congruent statement?From the question, we have the following parameters that can be used in our computation:
Triangles = FGH and JHK
The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent
From the question, we can see that the following corresponding sides on the triangles:
Sides GH and HK
Sides FH and JK
These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
GH must be congruent to HK
The above statement is true because point H is the midpoint of line GK
This is indicated in reason (2)
Hence, the congruent statement is SSS.
However, we can also make use of the HL theorem in (B)
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Three friends play a game. Jamila has 4-1/2
more points than Carter. Carter has 7 1/2 more
points than Aisha. Jamila has 26 points. Write
and solve an equation to find the number of
points Aisha has. Show your work.
Answers
The equation is written as
x + 11 = 26Aisha has 15 points
How to write the equationLet's use the given information to set up an equation to represent the relationship between the points each friend has.
Let x be the number of points Aisha has.
Then, according to the problem statement, we know that:
Carter has 7 1/2 more points than Aisha, so he has
x + 7 1/2 points.
Jamila has 4 - 1/2 more points than Carter, so she has
x + 7 1/2 + 4 - 1/2 points,
which simplifies to x + 11 points.
Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:
x + 11 = 26
x = 26 - 11
x = 15
Therefore, Aisha has 15 points.
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Which of the following is NOT divisible by 2?
A. 300
B. 221
C. 24
D. 8
Answers
Answer:
Step-by-step explanation:
b.221
as in 221 has no even digit in ones place.
Answer: The answer is option B (221).
Step-by-step explanation: As we know that ,
for a number to be divisible by 2 ,
the last digit of the number must ends with
the digits 2 ,4 , 6 , 8 , 0 .
And from the following option ,
In option A , 300 ends with 0 hence divisible by 2 .
In option C , 24 ends with 4 hence divisible by 2 .
In option D , 8 that is clearly divisible by 2.
Only in option B , 221 ends with 1 , hence not divisible by 2.
The population of a city has increased by 33% since it was last measured. If the current population is 39,900, what was the previous population?
=___
Answers
Answer:
26,733
Step-by-step explanation:
39,900 - Percentage decrease =
39,900 - (33% × 39,900) =
39,900 - 33% × 39,900 =
(1 - 33%) × 39,900 =
(100% - 33%) × 39,900 =
67% × 39,900 =
67 ÷ 100 × 39,900 =
67 × 39,900 ÷ 100 =
2,673,300 ÷ 100 =
26,733
Hope this helps :)
During, an Experiment, The temperature of a solution changes from 9 4/5 F to 17 1/4 F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth
Answers
Using improper fractions, it is found that the percent of increase in the temperature of the solution was of 76.08%.
How to convert improper fractions to standard fractions?The conversion is made according to the following formula:
\(a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}\)
In this problem, the initial temperature was given by:
\(9\frac{4}{5} = 9 + \frac{4}{5} = 9.8\)
The final temperature was given by:
\(17\frac{1}{4} = 17 + \frac{1}{4} = 17.25\)
What is the percent change?The percent change is given by the change divided by the initial temperature, and multiplied by 100%. Hence:
\(C = \frac{17.25 - 9.8}{9.8} \times 100\% = 76.02\%\)
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Gideon took out an R150 000 loan this morning, to buy a house. The interest rate on a mortgage is 7,35%. The loan is to be repaid in equal monthly payments over 20 years. The first payment is due one month from today. How much of the second payment applies to the principal balance? (Assume that each month is equal to 1/12 of a year.)
Answers
Answer:
Step-by-step explanation:
To solve this problem, we can use the formula for calculating the fixed monthly payment on a mortgage:
P = (r * PV) / (1 - (1 + r)^(-n))
where:
P = fixed monthly payment
r = monthly interest rate (annual interest rate divided by 12)
PV = present value of the loan (loan amount)
n = total number of payments (number of years multiplied by 12)
Using the given values:
r = 0.0735 / 12 = 0.006125
PV = R150,000
n = 20 x 12 = 240
Then we can calculate the monthly payment:
P = (0.006125 * 150000) / (1 - (1 + 0.006125)^(-240)) = R1,181.91
This means that Gideon will have to pay R1,181.91 every month for 20 years to repay his loan.
To determine how much of the second payment applies to the principal balance, we need to calculate the interest and principal amounts of the first payment.
For the first payment, the interest can be calculated as:
interest1 = r * PV = 0.006125 * 150000 = R918.75
This means that the first payment consists of R918.75 in interest and the rest, R1,181.91 - R918.75 = R263.16 is principal.
To find out how much of the second payment applies to the principal balance, we need to subtract the interest and add the calculated principal amount from the first payment to the amount of the second payment:
principal2 = (P - interest1) + principal1 = (1181.91 - 918.75) + 263.16 = R525.32
Therefore, R525.32 of the second payment applies to the principal balance.
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 33/fts. The ball's height h (in feet) after t seconds is given by the following. =h+2−33t16t2 Find all values of t for which the ball's height is 18 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)
Answers
Answer:
t=1.283 seconds and
0.779 seconds
Step by step Explanation:
Given: h=18 ft
The given equation is h=2+33t-16t²
Then if we substitute the value of given h, h=18 ft into the given equation we have,
18=2+33t-16t²
Then if we re- arrange we have
16t²−33t+16=0
We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is
t= −(−33±√[(−33) ²−4×16×16)]/(2×16)
= [33±√[1089−1024]/(32)
= [33±√[65]/(32)
=1.283 or 0.779 seconds
the two real roots , of the quadratic are:
1.283 and
0.779 seconds
t= 1.283 or 0.779 seconds
Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,
and is at 21 feet with height 1.283 seconds after after thrown down
A kite has angle measures of 7x°, 65°, 85°, and 105°. Find the value of x.
Which of the angles are opposite angles? Explain your reasoning.
Answers
Part 1
Angles of a quadrilateral add to 360 degrees.
\(7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15\)
Part 2
If \(x=15\), then \(7x=105^{\circ}\). Thus, the angles measuring \(7x\) and \(105^{\circ}\) are opposite angles since opposite angles of a kite are congruent.
This means the remaining angles, which are the angles measuring \(65^{\circ}\) and \(85^{\circ}\), are also opposite using the process of elimination.
What is the measure of the other leg of this triangle?
Answers
Answer:
48.2593.3424
Step-by-step explanation:
40+.2 and then you complete it by saying.35times 65
what is the decimal number to
Decrease by 15%
Answers
Answer:
0.15
Step-by-step explanation:
15% = 15/100 = 0.15
Consider the linear system
x+y-y z=2
x+2y+ z=3
x+y+(k^2-5)z= k
where k is an arbitrary constant. For which value(s) of k does this system have a unique solution? For which value(s) of k does the system have infinitely many solutions? For which value(s) of k is the system inconsistent?
Answers
The system is inconsistent for k=0.
The system has a unique solution when k=1 and k=-3. To see this, we plug in these values of k into the system and solve the resulting three equations in three unknowns. For k=1, we have x=2, y=1, and z=0. For k=-3, we have x=3, y=2, and z=0.
The system has infinitely many solutions when k=5. In this case, we have x+y-5z=2, x+2y+z=3, and x+y+25z=5, which yields the solution x=2, y=1, and z=0/5. Since any non-zero value of z will also satisfy the system, the system has infinitely many solutions.
The system is inconsistent when k=0. In this case, we have x+y=2, x+2y+z=3, and x+y-z=0, which has no solution. Therefore, the system is inconsistent for k=0.
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give two examples of functions from z to z that are one-to-one but not onto. 21. give two examples of functions from z to z that are onto but not one-to-one.
Answers
two examples of one-to-one functions from z to z that are not onto
f(x) = x + 4 and f(x) = -x
f(x) = x2 and f(x) = 2x + 1
Example 1:
One-to-one but not onto:
Take the equation f(x) = x + 4 into consideration.This function takes in any integers x and adds 4 to it, resulting in a new integer.
For example, if the input is 7, the output will be 11.
This function is one-to-one because for every input x, there is only one output y. For example, if the input is 7, there is only one output 11.
However, this function is not onto because there are some outputs that cannot be reached. For example, if the input is 0, the output is 4, but there is no input that can give an output of 5.
Example 2:
Onto but not one-to-one:
Let's consider the function f(x) = 2x + 1. This function takes in any integer x and multiplies it by 2, then adds 1 to the result.
For example, if the input is 7, the output will be 15.
This function is onto because for every output y, there is at least one input x that can give the output
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A table is being sold for 67% off the regular price the sale price is $536 what is the regular price
Answers
Answer:
Step-by-step explanation:
Use a simple Equation
Price = Number x Price
So Price = 536.
Since it was 67% off we multiple the price of the original by .67.
So
536 = .67x
Solve for x = 536/.67 = 800
The original Price is $800.
check by multiplying by the sale %.
Bryce randomly chooses a card from a standard deck of 52 containing 13 of each suit. He records the suit of each card in the tally chart at the right.What are the experimental probabilities that Bryce chooses each suit? How do these compare to the theoretical probabilities?
clubs 6
diamonds 8
hearts 8
spades 10
Answers
Answer:
52 cards / 4 suits = 13 cards of each suit.
Theoretically picking a heart would be 13/52 = 1/4 probability.
Experimentally she picked 15 hearts out of 80 total tries. for a 15/80 = 3/16 probability, which is less than the theoretical probability.
1/4 - 3/16 = 1/16
The answer is A.
Step-by-step explanation:
The right answer is A - The theoretical probability of choosing a heart is StartFraction 1 over 16 EndFraction greater than the experimental probability of choosing a heart
Jenny won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.
Prizes
(a) Find the odds against Jenny winning a headset.
(b) Find the odds in favor of Jenny winning a headset.
Answers
The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:
· 1 headset out of 9 total prizes
· 1/9 = headset
· 1/9 x 100 = 11.11%
· 100 - 11.11 = 88.89%
Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Which of the following is an integer?
3/5
-12
0.852
The square root of -3
Answers
Answer:
4.57
Step-by-step explanation:
i dont have no explanation
The top of the cliff is 142 m above sea level. Currently the boat is 100 metres from the buoy and the angle of depression from the top of the cliff to the boat is 64º. Find the distance from the top of the cliff to the buoy. diagram not to scale Top of cliff 142 boat buoy Base of cliff (sea level) 100 m. The distance from the top of the cliff to the buoy is type your answer...
Answers
Answer:
221.0 m
Step-by-step explanation:
First, find x using trigonometric ratio formula:
Reference angle = angle of depression = angle of elevation = 64°
Opposite side length = 142 m
Adjacent side length = x
Thus:
tan(64) = 142/x
x*tan(64) = 142
x = 142/tan(64)
x = 69.3 (nearest tenth)
Next, find distance from top of the hill to the buoy using Pythagorean Theorem.
Let the distance be y.
We would have:
y² = 142² + (69.3 + 100)²
y² = 20,164 + 28,662.49
y² = 48,826.49
y = √48,826.49
y = 221.0 m (nearest tenth)
Show your work plssss
Answers
Answer:
I7.
Step-by-step explanation:
at r = 13,
r + 4 = 13 + 4 = 17
Which choice is equivalent to the expression below?
2-3 + 2-2
A. 4-5
B. 2-5
loo
D
Answers
Answer:A
Step-by-step explanation:4-5=negative 1
HELPPPP PLZZZZZZZZZZ ITS TIMEDDDDDD Identify the constant and the coefficient in the term below and tell me the difference between the two:
how do i find the constant????????
Answers
1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5
Answers
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5
= 0.4
Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
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Help me please on math
Answers
Answer:
x =+- 6
is the answer.
Because 6² = (-6)²
Answer:
c
Step-by-step explanation:
multiply
Pls answer for my sister If Johnny had 12 blueberries and ate 10 and then Jena came and gave 20 how much does Johnny have now.
Answers
Answer:
He will have 22 blueberries
Step-by-step explanation:
Johnny ate 10 which makes him left with 2 blueberries
Jena then gave him 20.
20 + 2 = 22
Answer:
22 blueberries
Step-by-step explanation:
12 - 10 = 2 We have to subtract 10 blueberries from 12 because he ate 10 of them.
2 + 20 = 22 Then we have to add 20 blueberries because Jena gave him 20 more.
how do you find the remaining side of a 45°-45°-90° triangle if the longest side is 28?
Answers
Here you go! Hope this helps
Please answer this question
Answers
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
Survey of 140 people:
51 had a dog,
40 had a cat,
16 had a dog and a cat,
56 had neither a dog nor a cat nor a parakeet,
2 had a dog and a cat and a parakeet.
How many had a parakeet only?
Answers
what is the area of a sector of a circle with a diameter of 12 and a sector bou des by a 90degree arc?
Answers
Answer:
I worked it outf to be 3π in terms of π, apologies if this is wrong :/
A salesperson earns a commission of $252 for selling $2100 in merchandise.
Find the commission rate. Write your answer as a percentage.
Answers
Answer:
The commission rate is of 12%.
Step-by-step explanation:
Commission rate:
The commission rate is given by the commission value multiplied by 100% and divided by the value of merchandise sold.
In this question:
$252 in commission for selling $2100 in merchandise. So
252*100%/2100 = 12%
The commission rate is of 12%.
Aliza is drawing a model of the community swimming pool on grid paper. Each square on the grid is 20 feet by 20
feet.
Answers
Answer:
640 feet
Step-by-step explanation:
Count the length of each side. Add the lengths. Multiply by 20.
Start at the top left corner.
6 across
2 down
3 across
3 down
3 across
2 down
6 across
7 up
total = 32
32 X 20 = 640
# 13 i
MODELING REAL LIFE The post office and the grocery store are both on the same straight road between the
school and your house. The distance from the school to the post office is 376 yards, the distance from the post office
to your house is 929 yards, and the distance from the grocery store to your house is 513 yards.
a. What is the distance from the post office to the grocery store?
yards
b. What is the distance from the school to your house?
yards
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Answer:
What is the role of ethnocentrism in defining the concept of “progress”
Step-by-step explanation: