The graph of y = f(x) is shown below. What are all of the real solutions of f(x)
= 0?
Answers
Answer:
x = -8, 0 and 6
Step-by-step explanation:
Graphed function in the picture,
y = f(x)
Solutions of a function are defined by the points on x-axis where the graph intersects or touches.
In the given graph, curve of the function touches the x-axis at x = -8 and crosses the x-axis at x = 0, 6
Therefore, real solutions of the function 'f' will be x = -8, 0 and 6.
Related Questions
Read the paragraph from The Hot Zone.
Just then, he noticed a blur of motion on his left, and he turned and saw two Hazleton workers walking toward him. They weren't supposed to be in here! The area was supposed to be sealed off, but they had come in by another route that led through a storeroom. They wore respirators, but nothing covered their eyes. When they saw the two men in space suits, they froze, speechless. Jerry could not see their mouths, but he could see their eyes, wide with astonishment. It was as if they had suddenly discovered that they were standing on the moon.
What is the author’s main purpose for including this paragraph?
to inform readers about the location of the scene that is unfolding
to explain to readers that being a scientist can be exciting work
to entertain readers by illustrating how dramatic the situation is
to reassure readers that the situation was completely under control
Answers
Answer:
c
Step-by-step explanation:
to entertain readers by illustrating how dramatic the situation is
The purpose of the author will be C. entertain readers by illustrating how dramatic the situation is.
It should be noted that a theme simply means the main idea that's conveyed in a literary work. It's simply what the author wants the readers to know.
In this case, the author’s main purpose for including this paragraph is to entertain readers by illustrating how dramatic the situation is.
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Petra is shopping with 2 of her friends. She buys a note book and six identical pencils. The note book costs the same as 2 of the pencils. Her bill is £16.80. How much does a note book cost?
Answers
Answer: £4.20
Each 2 of pencils is £4.20 multiply that by 3 your get 12.60, the notebook is the same price of 2 pencils so that must mean it is £4.20
4.20 x 4 = 16.80
3 £4.2 from the 6 pencils
and 1 £4.2 from the notebook
Hope this helps!
The required cost of a notebook would be an amount of £4.20.
What is the equation?The equation is defined as mathematical assertions that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that n is the cost of a notebook, p is the cost of a pencil, and b is the total bill.
We know that the notebook costs the same as two pencils, so we can write this as an equation:
n = 2 × p
We also know that Petra's bill is £16.80, so we can write this as an equation:
b = n + 6 × p
Substituting the first equation into the second equation, we get:
b = n + 6 × p
b = (2 × p) + 6 × p
b = 8 × p
We can now solve for p by dividing both sides of the equation by 8:
p = b / 8
p = £16.80 / 8
p = £2.10
Since the notebook costs the same as two pencils, we can now solve for n by substituting the value of p into the first equation:
n = 2 × p
n = 2 × £2.10
n = £4.20
Therefore, the cost of a notebook is £4.20.
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In the bottom question what does X= to?
Answers
Answer:
The value of x is 29°...
When an angle is bisected, it is cut in half. We can assume that m<BAR = m<CAB and we know that m<CAR = m<CAB + m<BAR
88 = 2x - 14 + 2x - 14
Combine like terms
88 = 4x - 28
Add 28 to both sides
116 = 4x
Divide both sides by 4
29 = x
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-1, 3,-9, 27,
a. Multiply by 3; 81, 243, 729
b. Multiply by -3; -81, 243, -729
C. Multiply by -3; 81, 243, 729
d. Multiply by 3; -81, -243, -729
Answers
-9/3= -3, which means that each number is getting multiples by -3. Therefore, we can eliminate A and D. 27•-3=-81, so we can eliminate C. We are left with B, and we can check this by making sure that each number is correctly multiplied by -3.
Answer:
answer is b
Step-by-step explanation:
Can someone please help me?
Answers
Answer:
no
Step-by-step explanation:
u r a n00b hahahahahahahahahahahahahaahahhaahahahahahahahahahahahahahahahahahahhahahau suk balz hhahahahahahahahahahahahahahaha
Which would the phrase "the difference between a number and 5" look like as a variable expression?
Answers
The phrase “the difference between a number and 5” as a variable expression would look like: x - 5
Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?
Answers
Mr. Gonzalez's monthly sales must be $87,500.
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100"
For given example,
Let 's' represents the monthly sale.
So, the annual sales are 12 × s
He makes 4% commission on all of his sales.
So, the commission on (12 × s) sales would be,
= 12 × s × (4%)
= 12× s × 0.04
Mr. Gonzalez wants to earn $60,000 this year.
So, we get an equation,
⇒ 18000 + (12 × s × 0.04) = 60000
⇒ 12 × s × 0.04 = 60000 - 18000
⇒ 12 × s × 0.04 = 42000
⇒ s × 0.04 = 42000/12
⇒ s × 0.04 = 3500
⇒ s = 3500/0.04
⇒ s = 87500
Therefore, Mr. Gonzalez's monthly sales must be $87500.
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Apply the dilation (x, y) = (3x, 3y). What will be the coordinates of T'?
Answers
Answer:
6,0
Step-by-step explanation:
the dilation moves points from A to B
in this case we're moving point T
point T has coordinates 2,0 to start with (A)
Now let's move it to B
To do so, we need to apply the calculation
(x,y) => (3x,3y)
Substitute in point T:
(2,0) => (3x,3y)
(2,0) => (3(2),3(0))
(2,0) => (6,0)
The picture gives information about a car traveling at a constant speed.
Which choice shows the car's speed between checkpoints A and B, expressed as a
unit rate?
Checkpoint A
Checkpoint B
Time 100 pm
Time: 2:30 pm
Total Mies Driver 120
Total Miles Daven 195
Answers
Answer:
Step-by-step explanation:
Answer
Answer:
50 miles per hour is the (Unit Rate)
Step-by-step explanation:
Please help please help
Answers
Answer:
I think it will be 16.7 percent, but if I am wrong I am very sorry.
A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have a height greater than 40 feet
Answers
Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
A rectangular room is 11 feet by 18 feet. The ceilings are 10 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answers
Answer:
2.32 gallons of paint
Step-by-step explanation:
First, find the area of all 4 sides of the room, with the equation A = lw
11(10)
= 110 (for 2 of the walls)
18(10)
= 180 (for the other 2 walls)
Add these up:
110 + 110 + 180 + 180
= 580
Then, divide this by 250:
580/250
= 2.32
So, 2.32 gallons of paint will be needed to paint the room.
Which expression does NOT have a Greatest Common Factor?
Answers
Answer:
4x^2-9
Step-by-step explanation:
i just took the quiz
This is about greatest Common factor (G.C.F) thus Option C and Option D does not have a greatest common factor.
What is Greatest common factor?The Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.
Option A; 2x² -18
Factors of 2 are 1, 2
Factors or 18 are; 1, 2, 3, 6, 9, 18
In this option we can see that 2 is the only common factor between all the numbers.
Thus, the GCF = 2 So this has a GCF
Option B: 3x² + 12x + 6
Factors of 3 are 1, 3
Factors of 6 are 1, 3. 6
Factors or 12 are; 1, 2, 3, 4, 6, 12
The highest common factor is 3 Thus, this has GCF.
Option C; 4x² - 9
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
Option D; 6x² + 2x² + 5x
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
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A student has 2/3 quart of yellow paint in a container.The student uses 1/2 quart of the yellow paint to make green paint.How many quarts of yellow paint remains in the container after the student makes green paint?
Answers
Answer:
1/6
Step-by-step explanation:
2/3 - 1/2 = 4/6 - 3/6 = 1/6
1/6 quart remains.
Answer:
There are 1/6 quarts left in the container.
Step-by-step explanation:
You need to subtract 1/2 (the paint used) by 2/3 (the paint in the container)
First, find the LCD (lowest common denominator) if you want to subtract.
3 x 2 = 6; you do the same to the numerator 2 x 2 = 4
4/6 (paint in the container)
2 x 3 = 6; you do the same to the numerator 1 x 3 = 3
3/6 (paint used)
Now, you subtract.
4/6 - 3/6 = 1/6 quarts
ASAP
Water flowed out of a tank at steady rate. A total of 18 1/2 gallons flowed out of a tank in 4 1/4 hours. Which expression determines the the quality of water leaving the tank per hour?
O 17/4 divide 36/2
O 36/2 divide 17/4
O 17/4 divide 37/2
O 37/2 divide 17/4
Answers
Answer: In 1 hour water flowed out = 74/17 gallons
Step-by-step explanation:
Given as ,
The quantity of water flowed out of tank = 18 1/2 gallons
= 37/2 gallons
The time spend in flowing water out of tank = 4 1/4 hours
= 17/4 hours
∵ In 17/4 hours , water flowed out = 37/2
∴ In 1 hours , water flowed out =
So, in 1 hour water flowed out = 37*4/17*2 gallons Answer
Answer:
total galloons flowed=18 1/2=36/2
time that it flowed=4 1/4=16/4
rate=total galloons flowed/time to flow
rate=36/2÷16/4
=9/2gallons per hour
4.5gallons per hour
What is the midpoint of AB, with endpoints A(3,2) and B (8,14)
Answers
Answer:
Step-by-step explanation:
(3 + 8)/2= 11/2
(2 + 14)/2= 16/2= 8
(11/2, 8) the midpoint
A point lies on AB¯¯¯¯¯ and is located 3/7 the distance from A to B. What are the coordinates of the point? (4, 3) (7, 3) (9, 3) (12, 3)
Answers
Answer:
(4,3)
Step-by-step explanation:
This doesn't even take any math really, just deductive reasoning :)
We know the line segment stretches from one to 15, meaning there are 14 points on the line as there is (1,2,3, etc.)
14/2 obviously equals 7, so just plug it in from there.
12 is too far up on the line to be less than half, so (12, 3) is wrong
^ this goes for (9, 3) as well
7 is literally the halfway marker, so there is no way it could be (7, 3)
Making the answer (4, 3) because not only is it the last one remaining but it makes the most sense, being less than one half of the segment
Find the ratio of the partitioned segments such that C partitions the segment AB where A(-8, -4), B(6, 10), and C(18, 22)
Answers
Answer:
how is your day
Step-by-step explanation:
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3.
Answers
Answer:
n/4 - 3 OR 1/4n - 3
Step-by-step explanation:
First, let's assign a variable to Emily's number. Let is be x.
Now all we have to do is go through the problem step by step.
"She finds 1/4 of the number..."
There are two ways you can do this. You can either multiply n by 1/4 (1/4n), or you can divide by 4 (dividing by four is the same as finding 1/4 of a number). For this example let's divide by four
n/4
"...and then subtracts 3."
All we have to do is subtract 3 from n/4
n/4 - 3
REMEMBER: like I said, there are two possible options. You can either have n/4 or 1/4n. They mean the same thing
Answer:
1/4n - 3
Step-by-step explanation:
i need a step by step explanation of how to solve this
Answers
Answer: x = 6
Step-by-step explanation:
Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.Please Help!!! 30 Points!
Answers
Answer:
ABC is congruent to A' B'C'
Step-by-step explanation:
All three sides are equal on triangle ABC and they are equal to the sides on A'B'C'
All three angles are equal on triangle ABC and they are equal to the angles on A'B'C'
We know that since the sides and the angles are equal
ABC is equal to A'B'C'
ABC is congruent to A' B'C'
Find the distance between points P(5, 1) and 2(3, 4) to the nearest tenth.
Answers
Answer:
using distance formula =√(5-3)sq+(1-4)sq
=√4+9
=√13
Step-by-step explanation:
Write 5.12 x 10⁵ in standard form.
MATH
Answers
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000Answer:
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000
Step-by-step explanation:
When the civil war began, president lincoln believed that it would only take a few weeks to defeat the rebellious states true or false
Answers
Answer:
it's true that when the civil war began, president Lincoln
How are functions used to describe patterns?
Answers
Answer: Functions show real world pattern problems in algebraic form.
What is the slope of the line through (-7, -2) and (-6, 7)?
Answers
Step-by-step explanation:
shown the slope and equation
Every line segment has a length ?
Answers
Answer:
A line segment has two endpoints. A line has no end point. A line-segment has a definite length. But a line does not have definite length.
Step-by-step explanation:
I NEED HELP 11POINTS
Casey has a small business making and selling dessert baskets. She estimates that her
fixed weekly costs to bake the items is $100. She sells each dessert basket for $12.
How much would her monthly profit be for x amount of dessert baskets?
Answers
Answer:
500=2.5x+200
x=the amount of desserts.
500-200=2.5x
300=2.5x
x=120
Step-by-step explanation:
Using your equation if the number of square feet is 2400, what is the price of the house? If algebraic work is not shown, describe how you found your answer. How well does this fit with the actual data?
Answers
Answer:
Step-by-step explanation:
Need help. Not understanding
53, -82, 103, -7, 22, 0 in ascending order
Answers
Answer:
-82, -7, 0, 22, 53, 103
Step-by-step explanation:
smaller to bigger