Which polynomial function could be represented by the graph below?
A. [tex]f(x) = x^2 - 4x[/tex]
B. [tex]f(x) = x^2 + 4x[/tex]
C. [tex]f(x) = -x^2 - 4x[/tex]
D. [tex]f(x) = -x^2 + 4x[/tex]
![Which Polynomial Function Could Be Represented By The Graph Below?A. [tex]f(x) = X^2 - 4x[/tex]B. [tex]f(x)](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/1rNDUNK6If5kNqlt9XEUr1VcSwo33Urh.jpeg)
Answers
Answer:
[tex]f(x) = {x}^{2} + 4x[/tex]
Step-by-step explanation:
The graph is concave up, this means that the leading term x^2 is positive.
[tex]f(x) = {x}^{2} + 4x[/tex]
[tex]y = {x}^{2} + 4x[/tex]
For the x intercept, let y = 0[tex] {x}^{2} + 4x = 0[/tex]
[tex]x(x + 4) = 0[/tex]
[tex]x = 0 \: \: \: or \: \: \: \: x = - 4[/tex]
The x intercepts are:
(0 , 0) and (-4 , 0)
For the y intercept, let x = 0
[tex]y = {0}^{2} + 4(0) = 0[/tex]
y intercept :(0, 0)
For the turning point:[tex]t.p = \frac{x1 + x2}{2} [/tex]
[tex]t.p = \frac{0 + ( - 4)}{2} = - 2[/tex]
[tex]f( - 2) = {( - 2)}^{2} + 4( - 2) = - 4[/tex]
Turning point:(-2 , -4)
If you connect all these coordinates you will get the parabola shown in the picture.
Related Questions
[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it
Answers
Answer:
1. 3.33333333333
2. -1.3
3. 2.61904761905
4. 2.00833333333
The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry?
y = x + 1
y = x - 1
y = x
y = -x + 1
Answers
Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.
How to determine the equation of the triangle's line of symmetry?First of all, we would determine the midpoint where the line of symmetry passes through points A and B:
Midpoint at point A = (3 + 7)/2 = 10/2 = 5.
Midpoint at point B = (6 + 2)/2 = 8/2 = 4.
Point D = (5, 4)
Mathematically, the standard equation of a line is given by y = ax + b.
D(5, 4); 4 = 5a + b ....equation 1.
C(4, 3); 3 = 4a + b ....equation 2.
Subtracting eqn. 2 from eqn. 1, we have:
1 = a
Next, we would find the value of b:
4 = 5a + b
4 = 5(1) + b
b = 4 - 5
b = -1.
Therefore, the equation of the triangle's line of symmetry is given by:
y = ax + b
y = x(1) + (-1)
y = x - 1.
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What is 4 ( x − 1 ) ≥ 2 x + 6 as an improper fraction?
Answers
Answer:
18/5
Step-by-step explanation:
you have to times then divide
If e : f is 3 : 7 and f : g is 2 : 3 what is e : g ? please answer asap!
Answers
Answer:
e: f=3 : 7 and f : g= 2 : 3
Step-by-step explanation:
here's the answer
Joe started 125 miles in 5 hours. How many miles would travel in 1 hour
Answers
Answer:
Hope this helps :D
Step-by-step explanation:
Explanation on picture
Anna and Brian share £24.50
in the ratio 2:5. How much
does each person get?
Answers
Brian gets £17.50
2+5=7
24.50 divide 7= 3.50
3.50 x 2 = 7
3.50 x 5 = 17.60
And to check if it’s correct do 17.50 + 7 = 24.50
A motorbike was discounted by 10% and sold for $5220. What was the cost of the motorbike before the discount was applied?
Answers
So the motorbike was discounted by 10% and sold for $5220, that means $5220 is 90% of x. Let x be the original value. Now, set up a proportional equation. 5220/90=x/100. Multiply 5220 by 100, that will give you 522,000. Now let’s divide that by 90, and the answer will be $5800.
In a coin box there are 20-cent, 50-cent and $1 coins. The number of 20-cent coins is 2x, the number of 50-cent coins is y and the number of $1 coins is 4x. If the total value of the coins is $58.80, what is the total number of coins?
Answers
13 coins (50 cent)
24 coins (20 cent)
Make c the subject:
A=b+cd
Answers
All you have to do is this! Please mark me as brainliest
Answer:
C = A/d - b/d or C = (A - b)/d
Step-by-step explanation:
A = b + cd
A - b = cd
A/d - b/d = c
Can somebody help me find the surface area
Answers
To calculate the area of the complex shape:
⇒ must separate the shape into simpler shape
2 rectangles with a length 9ft and a width 6ft1 rectangle with a length of 9 ft and a width 3ft2 triangles with a base of 3 ft and a height 5.4ftLet's calculate:
2 rectangles with a length 9ft and a width 6ft[tex]Area = 9*6+9*6=54+54=108[/tex]
1 rectangle with a length of 9 ft and a width 3ft[tex]Area= 9*3=27[/tex]
2 triangles with a base of 3 ft and a height 5.4ft[tex]Area = \frac{1}{2}* 3*5.4+\frac{1}{2}* 3*5.4=8.1+8.1=16.2[/tex]
Total Area = [tex]108+27+16.2= 151.2[/tex]
Answer: 151.2 ft²
Hope that helps!
A
4
Find the value of x.
B
6
X+1
D
x = [?]
E
X
C
Answers
Find the volume.
Area = 16.4 cm²
8.1 cm
cm³
Answers
The area of the given figure is 16.4 cm² and the Length of the side is 8.1 cm. therefore, the volume of the given figure is 132.84 cm³.
When can we find the volume of a considered figure?For finding the volume of the considered figure, we somehow need measurement of its correct dimensions by which we would be able to recreate the figure.
By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.
Area = 16.4 cm²
Length of side = 8.1 cm
The volume of the given figure
= Area x side
= 16.4 x 8.1
= 132.84 cm³
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Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)
Answers
B; the y axis is what moves up and down
Please help me, I have more
Answers
Answer:
i dont have it the answer ofvthis
The equation of a circle is given below:
x squared minus 8 x plus y squared plus 6 y minus 11 equals 0
Identify the center and radius of the circle.
Group of answer choices
center: left parenthesis 4 comma minus 3 right parenthesis
radius: 6
center: left parenthesis negative 8 comma 6 right parenthesis
radius: 6
center: left parenthesis 4 comma minus 3 right parenthesis
radius: 36
center: left parenthesis negative 8 comma 6 right parenthesis
radius: 36
Answers
The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The equation is given below.
x² - 8x + y² + 6y - 11 = 0
x² - 8x + y² + 6y = 11
Then the center and the radius of the circle will be
x² - 8x + 16 + y² + 6y + 9 = 11 + 16 + 9
(x - 4)² + (x + 3)² = 36
(x - 4)² + (x + 3)² = 6²
Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.
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The heights of 150 oak trees are normally
distributed with a mean of 84 feet and a
standard deviation of 3 feet. about how
many trees fall within two standard
deviations of the mean?
Answers
Using the Empirical Rule, it is found that about 143 trees fall within two standard deviations of the mean.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.95% of the measures are within 2 standard deviations of the mean, hence, out of 150 trees, the amount is:
A = 0.95 x 150 = 142.5, rounded to 143.
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Find the mean of a student test scores if he earned 5, 93, 85, 90 and 91 points on five tests
Answers
Answer:
72.8
Step-by-step explanation:
please help me please
Answers
Answer:
detailed explanation is in image
Step-by-step explanation:
ans is 60 unit²
MARK ME THE BRAINLIEST !
Answer:
60 cm2
Step-by-step explanation:
Formula for finding out the area of the figure -
Area of full rectangle - Area of unshaded rectangle = Area of shaded region
Area of full rectangle =
Length (l) = 9+3 = 12 cmBreadth (b) = 4+4 = 8cm Area of full rectangle = l*b = 12*8 = 96cm2Area of unshaded rectangle =
Length (l) = 9 cmBreadth (b) = 4 cmArea of unshaded rectangle = l*b = 4*9 = 36cm2Putting the formula = 96-36 = 60cm2
Hence the area of shaded region = 60cm2
I gave the answer first !
The radius of a circle is 7 mm. What is the area.
Answers
Answer:
A= 153.94 mm
Step-by-step explanation:
A = πr²
A=π(7)²
A= 153.94 mm
Can someone please help? This is sooooooooo hard!!! :(
Answers
Answer:
BD = BE
Step-by-step explanation:
If BD = BE , angle BED = angle BDE.
Because they are in a same triangle.
And also they are congruent.
helpppp pleaseeeeeee
Answers
Answer:
3.) (5,2), (5,5), and (9,2)
Step-by-step explanation:
The triangle currently has the coordinates (2,0), (6,0), and (2,3).
If you want to translate the triangle up 2 units, you need to add 2 to each "y" value.
(2,0) -----------> y = 0 ------------> new y = 2
(6,0) -------> y = 0 --------------> new y = 2
(2,3) ----------> y = 3 -----------> new y = 5
If you want to translate the triangle 3 units to the right, you need to add 3 to each "x" value.
(2,0) -----------> x = 2 ------------> new x = 5
(6,0) -------> x = 6 --------------> new x = 9
(2,3) ----------> x = 2 ----------> new x = 5
Therefore, the new coordinates are (5,2), (9,2), and (5,5).
Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answers
Answer:
-16n-41
Step-by-step explanation:
Answer:
-16n - 41
Step-by-step explanation:
(2 • (-n - 3)) - 7 • (2n + 5)
-n - 3 = -1 • (n + 3)
-2 • (n + 3) - 7 • (2n + 5)
-16n - 41 = -1 • (16n + 41)
Use the leading term for your answer
-16n - 41
what is the slope of (4, −6) and (0, 2)
Answers
Step-by-step explanation:
please mark me as brainlest
20 divided by tann(45°)
Answers
Answer:
20
Step-by-step explanation:
as we know
[tex] \tan {45}^{0} = 1 \\ [/tex]
20/ 1=20
is correct answer
A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27
Rewrite the formula in factored form and select each true statement below.
The swimmer is underwater for 12 seconds.
The swimmer dives into the water 3 seconds after the timer was started.
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives to a maximum depth of 27 feet.
The swimmer dives into the water 12 seconds after the timer was started.
Answers
The formula in factored form is (t - 3)(t - 9) and the swimmer dives into the water 3 seconds after the timer was started also, the swimmer comes back up 9 seconds after the timer was started.
Analysis:
at h(t) = 0 that is when the diver has not dived or at height 0 foot
the equation becomes [tex]t^{2}[/tex] -12t + 27 = 0
by factorizing,
[tex]t^{2}[/tex] -9t -3t + 27 = 0
(t-9)(t-3) = 0, this is the equation in factored form.
t = 3 or 9
These are the times, the height h(t) = 0
Which means the swimmer dived 3 seconds later or got to the top of water after 9 seconds in which case h(t) = 0
In conclusion, the swimmer dives 3 seconds later after the timer was started and the swimmer comes back up after 9 seconds are the true statements for this problem.
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Answer:
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives into the water 3 seconds after the timer was started.
Step-by-step explanation:
what letter and the answer
Answers
The average amount of milk used for an orders of pancakes can be found by taking the total number of cups used for the 10 pancakes and take the answer divided by 10 (the amount of total pancakes)
We have 6 of 1/2 cups, 2 of 1/4 cups and 2 of 3/4 cups
So there are a total of [6•(1/2)]+[2•(1/4)]+[2•3/4]=5 cups for the total of 10 pancakes
Therefore, the average amount of milk used for an order of pancakes is 5/10=1/2 cups.
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Answers
Answer:
1814400
Step-by-step explanation:
A jar contains 8 red marbles, 6 blue ones, and 6 yellow ones. One marble is chosen at random. The color is
recorded in the table, and then it is returned to the jar. This is repeated 40 times.
Red Blue Yellow
11
11
18
Answers
Answer:
Step-by-step explanation:
Comment
The theoretical probabilities are
Red: 8/20 = 0.4
Blue:6/20 = 0.3
yellow:6/20 = 0.3
The experimental Probabilities are
Red: 11/40 = 0.275
blue: 11/40 = 0.275
Yellow: 18/40=0.45
Both probabilities add to 1 as they should
The yellow is the highest disproportionate answer and it really shouldn't be. If anything it should be red. (0.45 > 0.4 comparing yellow experimental with red theoretical. The yellow is way more than it should be)
The number of trials is double the number of marbles in the jar. The number of trials would be double for each color in the jar. Both blanks are double.
Select the elements in A.
A = {x: 10 < x < 30}
= {x:x is a square number}
Answers
Answer:
A= 4,5
Step-by-step explanation:
the required ans is above
Answer:
[tex]\{ 16, 25\}[/tex]
Step-by-step explanation:
[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]
Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128
Answers
The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
Limit of a functionGiven the following limit of a function expressed as;
[tex]\lim_{x \to 0} f(x)=4[/tex]
We are to determine the value of the function
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]
This can also be expressed as
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]
Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
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