Answer:
(B) The function has a domain of all real numbers.
(C) The function has a range of {y|–Infinity < y < Infinity}.
(E) The function passes through the point (3, –27).
Step-by-step explanation:
The statements are true.
What is faction?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
The given function is:
f(x) = x³- 4x² - 3x + 18
After plotting its graph can see the graph of the function.
The statements that are true are:
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.
f'(x) = 3x² - 8x - 3
As the leading coefficient is positive, the arms open up, and f'(0) = -3
Then is easy to see that from left to right, is positive, then negative, and then positive again.
The domain and range of the function are the set of real numbers.
For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.
And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).
The function has a double root.
Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)
To learn more about function visit:
https://brainly.com/question/8892191
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Triangle ABC is transformed to create triangle MNO and triangle PQR as described below
Answer:
The correct answer is the second option
Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100°
Answer:
m<2 = 125°, m<8 = 55° and m<14 = 100°
Step-by-step explanation:
The question is incomplete.
Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100
Given
m<9 = 80°
m<5 = 55°
From the diagram, m<5+m<6 = 180°
Substitute m<5 = 55° into the formula, to get m<6
55+m<6 = 180
m<6 = 180-55
m<6 = 125°
From the diagram m<6 = m<2 = 125° (corresponding angles)
Also on line e, m<9 = m<12 = 80° (vertically opposite angles)
On line f, m<14+m<16 = 180° and m<12 = m<16 = 80
m<14+80° = 180°
m<14 = 180-80
m<14 = 100°
Also on line f, m<5 = m<8 (vertically opposite angles)
Since m<5 = 55°, m<8 = 55°
Also on line e, m<10 + m<12 = 180
Since m<2 = m<10 = 125° (corresponding angle)
To get m<12,
125+m<12 = 180
m<12 = 180-125
m<12 = 55°
Also m<10 = m<14 = 125° (corresponding angle)
On line e, m<10 = m<11 = 125° (vertically opposite angle)
Also on line e, m<3 = m<11 (corresponding angle)
This shows that m<10 = m<11 = m<3 = 125°
From the above calculation the angle measure that are correct are:
m<2 = 125°, m<8 = 55° and m<14 = 100°
Answer:
A
C
E
Step-by-step explanation:
Please help me I’m confused
Answer:
I feel like there is a typo in this question.
But, it should be 70 degrees.
Step-by-step explanation:
I need an answer for this ASAP thanks.
Answer:
ll
Step-by-step explanation:
The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for 2 hours last week, but only $31 for 4 hours this week. What is the formula to determine A(Amount) given t(time in hours)?
Answer:
A = 5.5t + 9
Step-by-step explanation:
We assume that the relationship between t and A is linear.
We have two points on a line: (2, 20) and (4, 31).
We now find the equation of the line.
A = mt + b
m = (31 - 20)/(4 - 2) = 11/2 = 5.5
20 = 5.5(2) + b
20 = 11 + b
b = 9
A = 5.5t + 9
As a result, compared to the rest of the United States, the winters are and the summers are warm. Georgia's climate also results in at least of annual precipitation in most areas.
1. humid subtropical
2. mild
3. 40 in.
^^^answers
Answer:
1 is the answer
Step-by-step explanation:
are complex numbers considered real numbers?
on this assignment, it's asking me to select which expressions simplify to a real number. some of them (which i already selected) simplify to real numbers but some of the others simplify to a complex number like (3 + i)(i - 4) = -13 - i. can -13 - i be considered a real number or no because it's complex?
Answer:yes they are considered real numbers
Step-by-step explanation:
Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
Answer:
$133
Step-by-step explanation:
Let x = amount of money she had before she spent any money.
x - 29 - 29 - 29 - 15 = 31
x - 102 = 31
x = 133
Answer: She had $133.
Answer:
she had 133$
Step-by-step explanation:
Multiply 29$ by the amount of shirts and get 87$
then add 31$, the 15$ she spent on lunch, and add the 87$ and get 133$.
Write an expression for the perimeter of the triangle shown below:
The awnser choices are:
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
Simplify (−4.5)(−6)(5.4). (1 point)
−145.8
−14.58
14.58
145.8
Answer:
D.) 145.8
Step-by-step explanation:
(-4.5)(-6)(5.4)=145.8
You can solve this equation by putting it into a calculator.
The answer is positive because there's two negative numbers (they cancel out). If you have an even number of negatives, your answer should be positive. If you have an odd number of negatives, your answer should be negative.
What is the solution to this inequality?
15 + x<24
A. X>9
B. X< 39
C. X>39
D. X<9
Answer:
Move all terms not containing x to the right side of the inequality. x < 9
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality. x < 9
Form the intersection for the following sets.
X = {0, 10, 100, 1000)
Y = {100, 1000)
X Y =
(0.10, 100, 1000)
(100, 1000)
O{0. 10)
OO
Answer:
See below
Step-by-step explanation:
Given the sets
[tex]X=\{0, 10, 100, 1000\}\\Y=\{100, 1000\}[/tex]
[tex]X\cap Y = \{100, 1000\}[/tex]
what is 4/5 × 3/4 ==============================================================
Answer:
12/20= 6/10= 3/5
Step-by-step explanation:
take 4 times 3= 12
5 times 4= 20
and then simplify (at top)
Answer:
.6 because .8x.75 is that.
Solve the inequality: -7y - 3x < 21
Answer:
x> -7/3y -7
Step-by-step explanation: -7y-3x<21
Step 1: Add 7y to both sides.
−3x−7y+7y<21+7y
−3x<7y+21
Step 2: Divide both sides by -3.
-3x/-3 < 7y+21/-3
x>-7/3y -7
20 POINTS PLS ANSWER
Aaron has made a mistake in his work. Circle Aaron’s mistake in the image below.
Answer: 24 h/ 1 day needs to be circled
Step-by-step explanation:
To cross out the first 1 day and the second, you need to have the last 1 day at the top and 24 hour needs to be on the bottom. (You can see that the h in the answer is at the bottom too.) Good Luck!
Sam is 15 years old. Sam is 5 years older than Andy.
Which equation represents Andy's age (A)?
what’s the answer to this word problem
Answer:
x+5
Step-by-step explanation:
Andy is ten. 15-5=10. Fifteen Minus Five Equals Ten.
Solve the following equation for B.
j= -H + B
Answer:
b=j+h
Step-by-step explanation:
how do you solve 3(x-10)= -6 ?
Answer:
x=8
Step-by-step explanation:
3(x-10)=-6
3x-30=-6
3x=24
x=8
Answer:
X=12
Step-by-step explanation:
Step 1
3(x−10)=6
(3)(x)+(3)(−10)=6
3x+−30=6
3x−30=6
Step 2
3x−30+30=6+30
3x=36
Step 3
3x
3
=
36
3
x=12
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
y=-2/3x+5
Step-by-step explanation:
Roberto Clemente, born in Puerto Rico, became the first Latino baseball player to be inducted in the National Baseball Hall of Fame in 1973. He held many records including reaching 3,000 career hits. During that game, the umpire briefly stopped the game to give the ball to Clemente, who tossed it from second base to the first base coach. If the first base coach was standing 3 feet behind first base and Clemente was standing on second base, which is 90 feet from first base, which expression describes the distance between Clemente and the first base coach?
Answer:
Step-by-step explanation:
– 3 – 90 Answer is B
what’s the first step?
Answer:
It's correct answer
Step 1: Multiply 4 times x then 4 times 4
Step-by-step explanation:
CALLING ALL JESUS HELPERS
Bonus Problem 2. A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
Guys im begging you this is why i joined brainly :C
I'll mark brainliest I promise
Answer:
250,000 L
Step-by-step explanation:
we are given the fill rate of 500 m³ per hour , i.e.
in 1 hour ------> 500 m³ would have been added
if the fill rate is constant, then it reasons that in 1/2 hour, we would expect to see only 1/2 volume of water compared to a full hour , hence:
in 1/2 hour ------> 1/2 x 500 m³ = 250m³ would have been added
The question wants the answer in liters, however we have just calculated the volume in m³ above. Hence we need to convert 250m³ into liters
We note that 1 m³
= 1 m x 1 m x 1 m ( we are given that 1 meter is equal to 10 decimeters. substitute this into the equation,)
= 10 dm x 10 dm x 10 dm
= 1000 dm³
therefore 250m³ = 250 m³ x 1000 dm³ per m³= 250,000 dm³
we are further given that:
1 dm³ = 1 L, hence
250,000 dm³ = 250,000L
Answer:
Answer:
250,000 L
Step-by-step explanation:
|2x + 3| = 15
what is x?
Answer:
x = 6, -9
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
2x+3=15
Subtract 3 from both sides (3-3), 15-3
2x=12
Divide by 2 on both sides (2/2), 12/2=6
x=6
ISOLATE THE VARIABLE
Hope that helps
Mr. Khans is buying staplers for his office. Each stapler costs $16.99. what is the independant variable
Answer:
number of staplers
Step-by-step explanation:
In this question, there are two variables: the cost and the number of staplers. The cost depends on the number of staplers, so cost is the dependent variable. This means the number of staplers is the independent variable.
Please help me, the attachment is below. (If you don't know the answer to the question please don't answer, thank you.)
Answer:
See Below.
Step-by-step explanation:
Paragraph Proof:
We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.
2-Column Proof
Statements Reasons:
1) [tex]\angle 1\cong \angle 4[/tex] Given
2) [tex]\text{The two lines are parallel}[/tex] Alternate Exterior Angles Converse
3) [tex]\angle 3\cong \angle 2[/tex] Alternate Interior Angles Theorem
I would write a flowchart as well, but unfortunately, I never learned it that way.
Combine the following terms 6a - 3 + 5 + 4a
Answer:
10a +2
Step-by-step explanation:
Answer:
10a+2
Step-by-step explanation:
6a+4a=10a
-3+5=2
=10a+2
I hope this helps!
Explain why when you reflect a point across the line y=x, the x−coordinate and the y−coordinate change places, and when you reflect a point across the line y = −x, the x−coordinate and the y−coordinate change places and their signs are changed.
Answer:
The (x,y) is like a mirror reflecting across the plane. When it moves it goes opposite (y,x). We move over the y axis and we get a negitive because of the negative cordinate plane.
Step-by-step explanation:
it costs $2 to spin the spinner shown below. if you land on an even number, you win $10. if you land on an odd number, you get $1. what is the expected value of playing this game one time? $1 $2.38 $8 none of the above. $10
Answer:
$1
Step-by-step explanation:
because there is more odd numbers then even
Answer:
One dallar
Step-by-step explanation:
As infants grow from a toddler to a young adult, there may be times when they are ill and medication is needed. It is extremely important that medication be administered in the exact dose so the child receives the correct amount. Too little or too much medication could have serious side effects. A popular children’s fever medicine manufacturer recommends the following dosage information to parents and pediatricians.
Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight
24+ lbs
36+ lbs
48+ lbs
60+ lbs
72+ lbs
Dosage
5 mL
7.5 mL
10 mL
12.5 mL
15 mL
a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)
b) Is the relationship between weight and the amount of medicine linear? Explain
Answer:
Every weight range goes up 2.5mL
24+=5mL
+2.5 in the 36+=7.5mL
I am not sure the second answer
Step-by-step explanation:
Using function concepts, it is found that:
a) The rate of change is of 0.2083 ml/lb.
b) Since the rate of change is constant, the function is linear.
Item a:
The input is the weight.The output is the dosage.The rate of change is given by the change in the output divided by the change in the input.From the table, when the weight changes by 12 lbs, the dosage changes by 2.5 mL, hence:
[tex]r = \frac{2.5}{12} = 0.2083[/tex]
The rate of change is of 0.2083 ml/lb.
Item b:
Linear functions have constant rate of change, hence, since the rate of change is constant(0.2083 ml/lb), the function is linear.
A similar problem is given at https://brainly.com/question/20732437
simplify the fraction 12/24
Answer:
i believe it's 1/2
Step-by-step explanation:
Answer:
1/2 is the answer
