Answer:
The answer is 2x3 - 11x2 + 16x -3
Which of these functions has zeros of x=−16 and x=16?
A
f(x)=x^2−16
B
f(x)=x^2−256
C
f(x)=x^2−32x+256
D
f(x)=x^2+32x+256
Answer:
b) f(x) = x² - 256
Step-by-step explanation:
Since we have been given the zeros of a function, -16 and 16. We are asked to find which function truly has those zeros.
To find this, we can substitute the zeros for x in the functions to find the one that is true/correct.
A) f(x) = x² - 16
⇒ 0 = 16² - 16 and ⇒ 0 = (-16)² - 16
⇒ 0 = 256 - 16 and ⇒ 0 = 256 - 16
⇒ 0 = 240 ✘ and ⇒ 0 = 240 ✘
B) f(x) = x² - 256
⇒ 0 = 16² - 256 and ⇒ 0 = (-16)² - 256
⇒ 0 = 256 - 256 and ⇒ 0 = 256 - 256
⇒ 0 = 0 ✔ and ⇒ 0 = 0 ✔
C) f(x) = x² - 32x + 256
⇒ 0 = 16² - 32(16) + 256 and ⇒ 0 = (-16)² - 32(-16) + 256
⇒ 0 = 256 - 512 + 256 and ⇒ 0 = 256 + 512 + 256
⇒ 0 = 512 - 512 and ⇒ 0 = 512 + 512
⇒ 0 = 0 ✔ and ⇒ 0 = 1,024 ✘
D) f(x) = x² + 32x + 256
⇒ 0 = 16² + 32(16) + 256 and ⇒ 0 = (-16)² + 32(-16) + 256
⇒ 0 = 256 + 512 + 256 and ⇒ 0 = 256 - 512 + 256
⇒ 0 = 512 + 512 and ⇒ 0 = 512 - 512
⇒ 0 = 1,024 ✘ and ⇒ 0 = 0 ✔
Therefore, Function B has the zeros of x = -16 and x = 16.
Learn more about finding the zeros of a function here:
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Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students Which of the following systems of equations could be used to solve this problem?
6x + 5y =20 solve for y step by step
Answer:
Move all terms that don't contain y to the right side and solve.y=4−6x/5
Step-by-step explanation:
Simplify (0%)
.
O A. 6
O B.
01
6
O C. 64
O D. 616
Answer:
Simplify (0%)
.
O A. 6
O B.
01
6
O C. 64
O D. 616
Step-by-step explanation:
Which best describes the equation that the graph represents?
GIVING BRAINLIEST PLEASE HELP
Answer:
y = 1.8x, where time is the independent variable, x, and distance is the dependent variable.
Step-by-step explanation:
The independent variable is along the x-axis.
The dependent variable is along the y-axis.
Therefore,
Independent variable = time (in minutes)Dependent variable = distance (in km)Equation of the line
To find the equation of the line, define two points on the line:
Let (x₁, y₁) = (0, 0)Let (x, y₂) = (5, 9)Use the slope formula to find the slope (m) of the line:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-0}{5-0}=1.8[/tex]
From inspection of the graph, the y-intercept is at (0, 0).
Point-slope form of a linear equation: [tex]y = mx + b[/tex]
Substitute the found slope and y-intercept into the formula to create the equation of the line:
[tex]\implies y=1.8x+0[/tex]
[tex]\implies y=1.8x[/tex]
Conclusion
y = 1.8x, where time is the independent variable, x, and distance is the dependent variable.
any help is very appreciated!! need to get this turned in today
Answer:
-2.5
Step-by-step explanation:
(05.02) Find the measure of angle x in the figure below:
55
45
80
55
100
To find x, first find y.
In a triangle, all the angles add up to 180. So we can create the equation:
45+55+y=180
100+y=180
y=80
Since x and y are vertical angles, that mean they are equal so that means angle x is also 80.
Can some one help me out please !!
Answer:
[tex] - 8x + 6y = - 22 \\ - 4x + 4y = - 4 \\ .............................................. \\ - 12x + 10y = - 26 \\ - 2(6x - 5y) = - 26 \\ 6x - 5y = 13[/tex]
Find the probability of each event
There are thirteen songs on your playlist.
Six of them are country and seven are pop.
With random shuffle and no repetition,
you listen to six songs. What is the
probability that you listened to all country
songs?
pls answer, thx!!!! will mark brainliest!!
Step-by-step explanation:
a.
x = number of matching questions
y = number of essay questions
x >= 3
x <= 12
y >= 4
y <= 15
x + y <= 20
the delimiter lines are therefore
x = 3
x = 12
y = 4
y = 15
y = 20 - x
when you graph these lines, the corners (intersection points) of the inner shaded area are
(3, 4)
(12, 4)
(3, 15)
(12, 8)
(5, 15)
the other intersection points
(12, 15)
(3, 17)
(16, 4)
are outside the inner shaded area.
b.
10x + 25y = score
and this we want to maximize.
we have to try the 5 corners from a. and see, which one gives the maximum score.
(3, 4) gives
10×3 + 25×4 = 30 + 100 = 130
(12, 4) gives
10×12 + 25×4 = 120 + 100 = 240
(3, 15) gives
10×3 + 25×15 = 30 + 375 = 405
(12, 8) gives
10×12 + 25×8 = 120 + 200 = 320
(5, 15) gives
10×5 + 25×15 = 50 + 375 = 425
that is the most.
so, Phil should do 5 matching questions and 15 essay questions for maximum score.
A plastic container holds 3 red balls, 2 green balls, and 3 yellow balls. What is the probability of choosing a green ball, replacing it, and then choosing a yellow ball?
Answer:
[tex]0.09375[/tex]
Step-by-step explanation:
the total number of balls = 3 + 3 + 2 = 8
Let p be the probability of choosing a green ball, replacing it, and then choosing a yellow ball.
[tex]p=p\left( \text{choosing a green ball} \right) +p\left( \text{choosing a yellow ball} \right)[/tex]
[tex]=\frac{2}{8} \times \frac{3}{8}[/tex]
[tex]=\frac{6}{64}[/tex]
[tex]= 0.09375[/tex]
Let A and be two events. The probability that event B occurs is 0. 72. The probability that events B and A both occur is 0.24 hat is the probability that event A occurs , given that event B has occurred ?
Answer:
c
Step-by-step explanation:
Given triangle HJK and triangle RST, what is
tan(R)?
Answer:
B) [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Tan= Opposite/Adjacent
HJK = RST
Tan H = Tan R
Tan H = 5 (Opposite) / 12 (Adjacent)
So...
Tan R= 5/12
Please help me solve my last math problem on my test I'm a bit stuck and don't know if I'm doing it correctly.
What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
x = ___°
A right triangle. The perpendicular is labeled as 5. The base is labeled as 20. The alternate base angles are labeled as right angle and x degrees, respectively.
image of triangle in the file below.
Answer:i think you are on the right track
Step-by-step explanation:
I am not very good at this,but i think you have it right so far
Answer:
14.04
Step-by-step explanation:
Find the GCF of 2y²z and 8yz²
Answer:
GCF(2y²z , 8yz²) = 2yz
Step-by-step explanation:
2y²z = (2yz) × y
8yz² = (2yz) × 4z
then
GCF(2y²z , 8yz²) = 2yz
What is the volume of the pyramid?
Answer:
V= 400
Step-by-step explanation:
1/3×(area of the base)×(h)
10*10= 100
1/3(100)(12)
=400
it cost aaliyah $5.50 to send 110 text messages. how many text messages did she send if she spent $9.95?
SOMEONE ANSWER PLS
Answer:
199 text messages (i think lol)
Step-by-step explanation:
First, you need to see how much it costs to send one text message. In this scenario, it's 5 cents each text. So then you need to calculate how many texts she sent if she spent 9.95 with the equation 9.95/0.05
the Garden Club earn $12 by weeding neighbors Gardens 4X hours a generous donor has agreed to triple their earnings how much did the garden club earn all right your answer as in expression using parenthesis to show multiplication if needed
Answer:
The right answer is 15t times 2.
The garden club earns 15 dollars per hour
t is the hours
A generous donor doubles their earnings
Double means times 2
Step-by-step explanation:
Please someone help me my question please please please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC ≅ ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Can someone help me?
for anyone who cant see it:
Find the surface area of the pyramid. The side lengths of the base are equal.
__________
If you cant see the numbers
* Bottom number is 13m and the one with an arrow is 18 m
Again sorry if you cant see it
Answer: 637 m²
Step-by-step explanation:
We need to find the area of four triangles and one square.
The square: 169 m²
A = L²
A = (13 m)²
A = 169 m²
The triangles: 468 m²
-> We have four congruent triangles. I will find the area of two (skipping the "divide by two" part of the formula) and multiply by two to find all four at once.
A = B * H
A = (13 m) * (18 m)
A = 234 m²
-
234 m² * 2 = 468 m²
Total surface area:
169 m² + 468 m² = 637 m²
7g - 6 = -20 what is the answer
7g - 6 = -20
Add 6 to both sides
7g = -14
Divide both sides by 7
g = -2
answer: g = -2
Answer:
-2
Step-by-step explanation:
7 negative 2's equals negative 14, minus 6 equals negative 20.
What are the equations of the asymptotes for the function? f(x)=−3/x−1 −1
The vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have the equation of the hyperbola:
[tex]\rm f(x)=\dfrac{-3}{x-1} -1[/tex]
The asymptotes will be
Vertical asymptote: x -1 = 0 ⇒ x = 1
Horizontal asymptote: y + 1= 0 ⇒ y = -1
Thus, the vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1
Learn more about the hyperbola here:
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How many seconds will it take an echo to reach your ears if you yell toward a mountain
92.0 m away on a day when the air temperature is 0°C?
O 0.556 s
O 1.80 s
0 3.60 s
O 0.277 s
It will take 0.556 seconds for an echo to reach one's ears
Calculating the time to hear an echoFrom the question, we are to determine how long it would take an echo to reach one's ears
From the formula,
[tex]Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}[/tex]
NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance
From the given information,
Distance = 92.0 m
NOTE: Speed of sound in air at 0 °C ≅ 331 m/s
Putting the parameters into the formula, we get
[tex]331 = \frac{2 \times 92.0}{Time}[/tex]
[tex]Time = \frac{2 \times 92.0}{331}[/tex]
Time = 0.556 secs
Hence, it will take 0.556 seconds for an echo to reach one's ears.
Learn more on Calculating the time to hear an echo here: https://brainly.com/question/16676723
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Aakesh has two bags of marbles. The first bag contains 6 red marbles, 5 blue
marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue
marbles, and 4 green marbles. Aakesh will randomly select one marble from
4
each bag,
What is the probability that Aakesh will select a blue marble from each bag?
O A.
B.
oc
C.
D.
27
Answer:
A
Step-by-step explanation:
Answer:
It is 2/27
Step-by-step explanation:
Took the test.
i need help with this
[tex]\text{Apply Pythagorean theorem,}\\\\~~~~x^2 = 6^2 +8^2\\\\\implies x = \sqrt{6^2 +8^2}\\\\\implies x = \sqrt{36 +64}\\\\\implies x =\sqrt{100}\\\\\implies x = 10~~ \text{units.}[/tex]
The surface area of this cube is 54 square millimeters. What is the volume?
Shoutout to whoever answers it
Answer:
27 cubic millimeters
Step-by-step explanation:
Remember that a cube's surface area is [tex]SA=6s^2[/tex] where [tex]s[/tex] is any side length of the cube.
Hence, by solving [tex]54=6s^2[/tex], we find that the side length of a cube is 3 millimeters.
This means that the volume of the cube is [tex]V=s^3=3^3=27mm^3[/tex]
the ratio of teacher to students is 2:29 which means for every 2 teachers there are how many students?
2 teachers for 29 students
hope it helps...!!!
Answer:
29 students
Step-by-step explanation:
Hello!
When expressed that the ratio of Teachers to Students is 2:29, the ratio is in the format Teachers: Students.
That means, for every 2 teachers, there are 29 students.
Ratio:
2(teachers): 29(students)
There are 29 students for 2 teachers.
RatiosWe can also find the number of students for 4 teachers by simply multiplying both sides by 2
A ratio can be expressed as a fraction : [tex]x:y = \frac xy[/tex]
Anna paid $4 for renting a video game for 4 days
Answer:
$16
Step-by-step explanation:
You would just multuply the amount of time and the amount of money it costs.
Answer:
$1
Step-by-step explanation:
4 divided by 4 is 1 like the other person said. You can give them brainliest.
Hope It Helps
can someone please help with this q^q
Answer:
[tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]
Step-by-step explanation:
First determine whether it is a sine function or a cosine function. Since
sin(x) = 0 at x = 0 and we see indeed that the value of the function is 0 at x = 0 it must be a sine function
The general equation of a sine function is [tex]a sinbx[/tex]
where a is the amplitude. The amplitude is one-half the difference between the lowest and highest values in the graph.From the graph we can see that the highest value is 3/4 and lowest is -3/4 so the amplitude = 1/2 (3/4 + 3/4) = 3/4
If the amplitude were positive, the function would be increasing at (0,0) and going up to its amplitude value. However we can see that the function is decreasing at (0,0 ) and goes down to -3/4. Therefore the amplitude a has a negative sign so a = -3/4
To compute b, note that the period of the function ie where it finishes a full cycle is 3π since the function at that x value repeats itself. The relationship between b and the period is 2π/b = 3π in this particular case
This gives b = 2/3
So a = -3/4, b = 2/3 and the equation is [tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]
what is the zero of this function?
Answer:
A. x = 5 and x = 6
Step-by-step explanation:
What are zeroes?
Zeroes are simply the x intercepts of a function or the coordinates where the function crosses the x axis
Finding the zeroes.
By looking at the graph, we can say that the function crosses the x axis at (5,0) and (6,0).
This means the x intercepts / zeroes are at x = 5 and x = 6 so the answer is A