We will see that the axis of symmetry is x = 3, so the correct option is c.
How to find the axis of symmetry of a quadratic function?
The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.
Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.
Then we only need to find the x-value of the vertex, remember that for a quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
Then in our case, the vertex is at:
[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]
So the axis of symmetry is x = 3, then the correct option is C.
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a farmer needs to build a 60m fence sections of fence are 80cm long how many does the farmer need?
Step-by-step explanation:
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Write the standard number 6,267,000 In scientific notation.
Answer:
Answer is in the pic I promise nothing bad
Step-by-step explanation:
In scientific notation, the number 6,267,000 is expressed as 6.267 × 10⁶, where the coefficient is 6.267 and the power of 10 is 6.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The first step is to move the decimal point to the right or left so that only one nonzero digit remains to the left of the decimal point. In this case, we can move the decimal point six places to the left, as follows:
6,267,000 ⇒ 6.267000
Since we moved it six places to the left, the power of 10 will be positive 6.
Finally, we write the number in scientific notation using the coefficient and the power of 10:
6.267000 × 10⁶
6.267 × 10⁶
In scientific notation, the number 6,267,000 is expressed as 6.267 × 10⁶.
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Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to complete an equation for each line. On a coordinate plane, lines d, e, and f are parallel. Line d goes through (0, negative 3) and (negative 1, 0). Line e goes through (negative 1, 2) and (0, negative 2). Line f goes through (0, 2) and (1, negative 1). CLEAR CHECK Equation for line d: y=−3x − Equation for line e: y = x − Equation for line f: y = x +
Answer:
Line d : y = -3x - 3
Line e : y = -3x - 2
Line f : y= -3x + 2
Step-by-step explanation:
Given that,
The slope of each line is -3.
Now,
We know that,
Equation of line is represented by y = mx + c
where m is the slope and c is the y-intercept.
Now,
Given that,
Line d goes through (0, - 3) and (- 1, 0).
So,
y-intercept of Line d is -3
∴ we get
Equation of Line d is : y = -3x -3
Now,
Given that,
Line e goes through (-1, 2) and (0, -2).
So,
y-intercept of Line e is -2
∴ we get
Equation of Line e is : y = -3x - 2
Now,
Given that,
Line f goes through (0, 2) and (1, -1).
So,
y-intercept of Line e is 2
∴ we get
Equation of Line f is : y = -3x + 2
Answer:
The person above me is correct except for the fact that line e is wrong because I put it and is wrong
For a-e, choose Yes or No to tell whether each term is equivalent to
the slope in a proportional relationship.
Answer:
Step-by-step explanation:
Let the equation of a proportional relation is,
y = mx
Here, m = Slope Or proportionality constant of a linear function
a). Constant of proportionality → YES
b). Origin → NO (Since, origin is a point lying on the line)
c). Inverse → NO
d). [tex]\frac{\text{Rise}}{\text{Run}}[/tex] → Since, ratio of rise and run is equal to the slope of the line.
YES
e). Unit rate → It's ratio of y and x values which is equivalent to the slope.
Therefore, answer is YES.
What type of association does the scatterplot appear to have?
Answer:
positive linear association
Step-by-step explanation:
Answer:
A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables.
Step-by-step explanation:
Select the correct text In the passage. Which lines best demonstrate falling action in the passage?
Steven and James emerged from the trees and walked along a sloping open area to the river. The rippling river sparkled like diamonds in the sun, and the boys couldn't resist the urge to stop and soak up the scenery. They watched as tiny Insects danced a ballet across the water. As they rested their feet, both boys gazed north toward the unpredictable volcano il cd become so familiar with. It was magnificent, even with the usual cloud of steam rising above it. As they watched, though, they notice ething around them was changing. The cloud on the volcano's peak suddenly grew larger, and the ground began to shake beneath .. James said, "I wonder-" He didn't have time to finish the rest of his sentence. As they looked on in stunned silence, the top of Big White Peak suddenly exploded and erupted. For a split second, everything was soundless. Steven and James stared, mesmerized by a huge, dark cloud streaked with blue and orange flashes. Then, as the roar of the sound reached them, both boys jumped up and began to sprint back to their car. They scrambled up the rugged hillside, tripping over rocks and branches without stopping. "Look!" shouted James, looking over his shoulder as he ran. The cloud was growing larger, and it seemed to be coming toward them with a tremendous amount of speed. Steven didn't think they needed to be concerned about the cloud itself because the wind was blowing in the opposite direction and they were quite far from the crater. What he was worried ībout most , however, was that they might be caught in a flood. He hoped they could get away before the snow and ice from the Big White Peak melted in the heat of the eruption. The boys ran over the rugged terrain, glancing back nervously on the way to the car. As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray. Still numb with shock, they turned out of the park and onto the highway toward home.
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray.
Step-by-step explanation:
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain.
Step-by-step explanation:
State of the two triangles are congruent if they are state how you know.
Answer: asa
Step-by-step explanation:
The angles are congruent as given and the side js shared and in between so its asa C:
Darnell is ordering food for a party. He can get 2 pizzas and 8 sandwiches for $65 or 5 pizzas and 3 sandwiches for $77.50. What would be the total cost of 1 pizza and 1 sandwich? please help me
Answer:
Jan 22, 2017 — Three pizzas and seven sandwiches cost $41.50 How much does a pizza cost? Follow • 2 ... equations and solve for p to get cost of a pizza.
Step-by-step explanation:
can someone help me pls?
Answer:
the answer would be 3! I hipe this helps
help this is hard for me lol
i have no idea what the answer is
How much change would you get from
£10 if you spent £1.43 and £1.115
Answer:
£7.455
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Ben is greeting customers at a music store. Of the first 20 people he sees enter the store, 7 are wearing jackets and 13 are not. What is the experimental probability that the next person to enter the store will be wearing a jacket? Enter your answer as a simplified fraction.
Answer:
hmm... this seems hard. Anyways I'll just do it!
The correct answer should be 7/20
Step-by-step explanation:
Answer:
13/20
Step-by-step explanation:
If 13 people out of 20 people Ben sees entering the store with jacket, then the probability for the next person to wear jacket is 13/20 which is 0.65.
Hope it helps u.
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Can someone help this
Answer:
Step-by-step explanation:
The common factor is the largest number that goes into both of those numbers evenly. We do this by finding the prime factorization of each:
25: 5,5
35: 5,7
The common number to both is 5, so 5 is the common factor of both the numerator and denominator.
A 3rd3^{\text{rd}}3rd3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 8888
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
8x3+2x+38x^3+2x+38x3+2x+38, x, cubed, plus, 2, x, plus, 3
(Choice B)
B
2x8+32x^8+32x8+32, x, start superscript, 8, end superscript, plus, 3
(Choice C, Checked)
C
x3−x2+8x^3-x^2+8x3−x2+8x, cubed, minus, x, squared, plus, 8
(Choice D)
D
−5x3+8-5x^3+8−5x3+8minus, 5, x, cubed, plus, 8
Answer:
[tex]-5x^3 + 8[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]Degree \to 3rd[/tex]
[tex]Constant \to 8[/tex]
[tex]Type \to Binomial[/tex]
Required
Which of the options is true
[tex]Type \to Binomial[/tex]
This implies that the polynomial has just 2 terms
The above shows that (a), (b) and (c) are not true because they have more than 2 terms
[tex]Degree \to 3rd[/tex]
This implies that the highest power of x is 3
[tex]Constant \to 8[/tex]
The second term of the polynomial must be +8
Only (d) satisfy the above conditions
Find the area of the figure.
Answer:
Step-by-step explanation:
29
Answer:
area of the given figure is 25cm²
Step-by-step explanation:
as there are 20 full square of area 1 cm²
and 10 half squares of area 0.5cm²
Julie was given a new map of New Hampshire to calculate some distances. The scale is 1 inch = 50 miles. How far is Conway from Littleton?
Answer:
Conway is 312.50 miles from Littleton
Step-by-step explanation:
Given
[tex]Scale: 1\ in = 50\ mi[/tex]
See attachment
Required
Distance between Conway and Littleton
The scale distance between Conway and Littleton is 6.25 inches.
So, the actual distance is calculated as:
[tex]1\ in = 50\ mi[/tex]
Multiply both sides by 6.25
[tex]6.25 * 1\ in = 50\ mi * 6.25[/tex]
[tex]6.25\ in = 312.50\ mi[/tex]
Hence, Conway is 312.50 miles from Littleton
Which expression equals 9 3sqrt10
Answer:
2nd choice
Step-by-step explanation:
Look at the radical, if two radicals can add, they must have the same root. The answer must also have the same root.
Answer:
B on edge
Step-by-step explanation:
Daria makes and sells stuffed toys. She uses special fabric to cover a foam cube to make a number cube. How much fabric did Daria use to make this number cube?
NOTE: A cube has 6 sides that are all squares with the same dimensions. To find the surface area, find the area of all sides of the cube (top, bottom, front, back, left, right).
Answer:294
Step-by-step explanation: you’re trying to find the surface area of the cube to find out how much material Daria needs. To do so find the area of 1 face of the cube (which is a square). The problem gives us 1 side of the square as 7cm. A square has the same length for its 4 sides, so to find the area of that 1 face do 7 x 7=49. The question also gives the hint that a cube has 6 faces so you would multiply the 49 by 6 to get the total surface area of the cube. 49 x 6=294.
Not sure if this is right but hope it helps.
PLEASE HELP !! I NEED HELP ASAP?
Answer:
The answer would be D or 4 or whatever you would like to call it (the bottom one)
What is the nth term rule of the quadratic sequence below?
6,12,20,30,42,56,72
Answer:
Step-by-step explanation:
The first term is 6. The difference between the first two terms is 6. The first differences are 6,8,10,12,etc. so the second differences are 2’s.
quadratic formula: an^2+bn+c
2a=second difference=2
3a+b=first differece =6
a+b+c=first term=6
substitute: a=2/2=1, 3(1)+b=6 so b=3, 1+3+c=6 so c=2
nth term= n^2+3n +2
3 − –403,593 positive or negative?
:( I need HEEEEEEEEELP
Answer:
My guess is 10 because out of the 14 donuts in the graph half of them are jelly filled so following the stats half of the 20 donuts will be jelly filled making 10 half of 20.
If you try to fail and succeed, then which have you done?
(ㆆ _ ㆆ)
Answer:
You have succeeded to fail XD
Find the scale factor of a model train if the scale is 1 inch = 4 feet.
Answer:
1
Step-by-step explanation:
Walter accepted a new job with an annual salary of $47,500. How much can he expect to earn after paying income taxes?
Answer:
$35625Step-by-step explanation:
He will pay 25% income tax as per table.
He will earn after tax:
47500*(1 - 0.25) = 47500*0.75 = 35625Multiply the binomials:
(3x + 4)(5x-2)
A. 15x^2 + 20x-8
B. 15x^2 + 14x + 8
C. 15x^2- 14x-8
D. 15x^2+ 14X-8
Answer:
15x^2 + 14x - 8
Step-by-step explanation:
Use the FOIL Method.
(3x + 4) (5x - 2)
1. First: 15x^2
2. Outside: -6x
3. Inside: 20x
4. Last: -8
5. Put Together: 15x^2 - 6x + 20x - 8
6. Simplify: 15x^2 + 14x - 8
Kevin needs to replace four rectangular
windows. Each window measures 2.75 ft
by 4 ft. Find the square feet of glass
that Kevin will need for the windows.
Evaluate
[tex] {9 }^{2} - {7 }^{2} \\ {2}^{3} [/tex]
[tex] {9}^{2} - {7}^{2} \div {2}^{3} \\ = 74.875[/tex]
Hope it helps youA right triangle has one angle that measures 53°. What is the measure of the other acute angle?
Answer:37 degrees
Step-by-step explanation:
90 (right triangle always has a 90 degree angle) + 53 = 143
There are 180 degrees in a triangle so,
180-143 = 37
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Answer: its the third one
Step-by-step explanation: