A particle moves along the x-axis so that its acceleration a(t) is given by the graph above for all values of t where 0 must be true?
We need a acceleration time graph (Attached)
So when t is 0
a(t) has value in its y intercept .Find y intercept by observing the point where the line crosses y axis
Now the particle is given moving along x axis means on the x axis
So acceleration remains 0 as on x axis y intercept is 0 always
50 POINTS In two or more complete sentences, define the key features of the graph below and explain how to write its equation using function notation.
Answer:
The graph is a function of absolute value.
This means that for each value of f (x) there are two possible values of x.
The absolute value function is:
f (x) = lxl
y = f (x) - 2 shifts the graph 2 units down.
y = f (x + 3) moves the graph 3 units to the right.
Finally:
The function that best fits this graph is:
f (x) = l-x + 3l-2
Step-by-step explanation:
From the graph it is evident that it is the graph of the absolute value of the function i.e. f(x) = |x| and we know that 'Translation' is a transformation that shifts the graph of a function in any direction.
Now, as we can see that the graph is shifted towards the right of the y-axis at point x=3, this means that it is translated by 3 units to the right of y-axis.
Therefore, the function becomes f(x) = |x-3|.
Furthermore, it is also shifted downwards at the point x= -2, this means that it is translated by 2 units downward from the x-axis.
Hence, the new function is f(x) = |x-3| - 2.
please help me again with my algebra , Thank you
Answer:
1)
[tex]2x {}^{2} + 3x + 2 + 3 {x}^{2} - 5x - 1[/tex]
[tex]5 {x}^{2} - 2x + 1[/tex]
2)
[tex]x {}^{2} - 4 - (12x {}^{2} + 4x - 6)[/tex]
[tex]x {}^{2} - 4 - 12x {}^{2} - 4x + 6[/tex]
[tex] - 11x {}^{2} - 4x + 2[/tex]
3)
[tex]6x {}^{2} + 3x - 4 + x {}^{2} - 7[/tex]
[tex]7x {}^{2} + 3x - 11[/tex]
4)
[tex]7x {}^{ 3} + 4x - 1 + 2x {}^{2} - 6x + 2[/tex]
[tex]7x {}^{3} + 2x {}^{2} - 2x + 1[/tex]
5)
5x⁴-4x³-3x-4+2x⁴+6x³-2x
7x⁴+2x³-5x-4
Just do the simple addition. Make sure to add like terms. For instance: Add 3x² with 2x² only, not with 3x and 2.
→ 2x² + 3x + 2 + 3x² - 5x - 1
→ 2x² + 3x² + 3x - 5x + 2 - 1
→ 5x² - 2x + 12) Subtract x² - 4 and 12x² + 4x - 6The law of subtraction is to subtract the smaller value from the larger value. But it is not necessary that it is always applicable. Its value can be positive, negative and zero (which varies with the given values).
→ x² - 4 - (12x² + 4x - 6)
There will be no change in sign during addition. But if you're doing subtraction change the signs.
→ x² - 4 - 12x² - 4x + 6 [ Product of (-)(-) is (+) and (+)(-) is (-) ]
→ x² - 12x² - 4x - 4 + 6
→ - 11x² - 4x + 23) Add 6x² + 3x - 4 and x² - 7→ 6x² + 3x - 4 + x² - 7
→ 6x² + x² + 3x - 4 - 7
→ 7x² + 3x - 114) Add 7x³ + 4x - 1 and 2x² - 6x + 2→ 7x³ + 4x - 1 + 2x² - 6x + 2
→ 7x³ + 2x² + 4x - 6x - 1 + 2
→ 7x³ + 2x² - 2x + 15) Subtract 5x⁴ - 4x³ - 3x - 4 and -2x⁴ - 6x³ + 2x→ 5x⁴ - 4x³ - 3x - 4 - (-2x⁴ - 6x³ + 2x)
→ 5x⁴ - 4x³ - 3x - 4 + 2x⁴ + 6x³ - 2x
→ 5x⁴ + 2x⁴ - 4x³ + 6x³ - 3x - 2x - 4
→ 7x⁴ + 2x³ - 5x - 4A submarine at - 45 feet dives 50 feet. Write an expression to represent the submarine's elevation. Need help
-150+(-45)= -195
Negative since it’s deeper
this might be yo answer im not sure
i hope this helped u tho
The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a 30% probability the friend will arrive within how many minutes?
Using the uniform distribution, it is found that:
a) There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.
b) Within 9 minutes.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Researching the problem on the internet, it is found that the variable is uniform with a = 0 and b = 30.
Item a:
[tex]P(10 \leq X \leq 20) = \frac{20 - 10}{30 - 0} = 0.3333[/tex]
There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.
Item b:
This is x for which P(X < x) = 0.3, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.3 = \frac{x}{30}[/tex]
[tex]x = 9[/tex]
Within 9 minutes.
To learn more about the uniform distribution, you can check https://brainly.com/question/13889040
795 times 12 then add 6754 then divided by 7
Answer:
795 * 13 + 6754 / 7 = 2,327.71
Step-by-step explanation:
795 * 13 + 6754 / 7 = 2,327.71
The smaller of two consecutive even integers is five more than one half of the greater. Find the integers.
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Solvew for n.
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].
2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))
2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14
If x > 0 and y > 0, where is the point (x, y) located?
Answer:
Quadrant I, see both images below...
Step-by-step explanation:
If x = 2 and y = -3, what is the value of 2x^2−3xy−2y^2
HELPPP
Answer:
8
Step-by-step explanation:
2(2)^2‒3(2*‒3)‒2(‒3)^2
2*4‒3(‒6)‒2(9)
8‒(‒18)‒18
8+18‒18
26‒18
8
i think it is easy to understand &i hope it will helps you
1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm
Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
[tex]\frac{2.9}{150}[/tex] = k , that is
k = [tex]\frac{29}{1500}[/tex]
e = [tex]\frac{29}{1500}[/tex] w ← equation of variation
when e = 17.4 , then
17.4 = [tex]\frac{29}{1500}[/tex] w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w
You deposit $3500 in an account. Find the interest earned in 5 years at a simple interest rate of 7 1/2% per year.
Answer: $1312.5 is the amount of interest earned in 5 years.
What is the volume?
4 ft
7 ft
4 ft
Answer:
112
Step-by Step:4 times 4 is 16, and 16 times 7 is 112.
Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form.
Answer:
y = -1/2x +5/2
Step-by-step explanation:
The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.
__
The slope of the line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (18 -12)/(5 -2) = 6/3 = 2
The slope of the perpendicular line is the opposite reciprocal of this:
m' = -1/m = -1/2
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line we want can be described by the equation ...
y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)
__
Rearranging to slope-intercept form, we find ...
y = -1/2x +3/2 +1
y = -1/2x +5/2
_____
Additional comment
The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...
x +2y = 5
Solving for y gives the slope-intercept equation:
2y = -x +5 . . . . . . . . subtract x
y = -1/2x +5/2 . . . . . divide by 2
Convert the following into percentage. 2.00 =
Answer:
2/100
Step-by-step explanation:
to find a percentage you times by a hundred
Which statement(s) are true? multiple choice question
Step-by-step explanation:
the more likely an event the closer it is to being certain
the more unlikely an event the closer it is to being impossible
Suppose a pack of candy bars has 6 bars. Each bar weighs 5.87 ounces. How much does the pack weigh
Answer:
It would weigh 35.22 ounces.
Step-by-step explanation:
If there are 6 bars, that weigh 5.87 ounces each, then multiply the 2 values:
6 bars x 5.87 ounces = 35.22 ounces.
If you feel like this helped you, feel free to give me Brainliest! :)
what is the measure of
Answer:
Angle B measures 116 degrees
Step-by-step explanation:
Because all the angles of a triangle add up to 180 degrees.
28 degrees + 36 degrees = 64 degrees
180 degrees - 64 degrees = 116 degrees
Answer:
116
Step-by-step explanation:
The sum of all the angles in a triangle will equal 180 degrees. SO, to find the missing angle, we have to add the two known angles together and subtract that from 180.
28 + 36 = 64
180 - 64 = 116
Therefore, the measure of the missing angle is 116 degrees.
I hope this helps! Have a lovely day! :)
I need help with this question
Answer:
The X-coordinate is -7
Step-by-step explanation:
what is the acceleration of a baseball when its speed increases from 1 m/sec to 25 m/sec in 1 second?
Answer:
24 m/s²
Step-by-step explanation:
Acceleration is change in velocity over time.
a = Δv / Δt
a = (25 m/s − 1 m/s) / 1 s
a = 24 m/s²
Which equation is equivalent to the given equation?
7m + 11 = : -4(2m + 3)
O A.
15 m = -23
B.
-m = -1
C.
-m = 1
D.
- 15 m = -23
Answer:
B
Step-by-step explanation:
7m+11= -4 x 2m + (-4 x 3)
7m +11 = -8m -12
7m +8m = -12-11
15m = -23
Answer:
A: 15m= -23
Step-by-step explanation:
Peter bought 3 different types of
cheese. He bought 1/4 pound of each
type of cheese. How much cheese
did Peter buy in all?
Answer:
3/4 lb
Step-by-step explanation:
You can use multiplication:
3 × 1/4 lb = 3/1 × 1/4 lb = 3/4 lb
You can also use addition:
1/4 lb + 1/4 lb + 1/4 lb = 3/4 lb
Answer:
Peter bought 3/4 lb of cheese.
Step-by-step explanation:
To find out the total amount of cheese, you have to multiply 3 types by 1/4 lb which is 3*1/4 = 3/4. I hope this helps!
A customer at a department store has $45.75. How many neckties can the customer buy if each tie costs $15.25? (ღ˘⌣˘ღ)
Answer:
The customer can buy 3 neckties
Step-by-step explanation
$45.75 divided by $15.25 is 3.
Josephine decides this shed is a little too big. She decides to cut 2 feet off the length and 2 feet off the width. She says this will make the shed 4ft^3 smaller. Explain with words and numbers why Josephine is incorrect
Answer:
Josephine needs to include the height as part of the volume calculation.
Step-by-step explanation:
See attached image.
Tickets to a school play for teachers costs $15.00, for students $5.25. what is the total cost if 2 teachers and 3 students attend the play?
Answer:
$45.75
Step-by-step explanation:
15x2=$30
5.25x3=$15.75
30+15.75=$45.75
How do you identify a table as linear, exponential, or quadratic?
The way to identify these tables is through the way that the value of y increases.
How to identify a linear tableA linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.
How to identify an exponential tableThis is the table that the value increases with a common ratio. The y value doubles in this case.
How to identify a quadratic tableThis is a table that has a constant second difference.
Read more on Quadratic and linear functions here:
https://brainly.com/question/25841119
im in the 6th and im helpful and i like to do math
Answer:
ok
Step-by-step explanation:
This one is confusing can someone help
Answer:
A
Step-by-step explanation:
By the geometric mean theorem, 21/20=20/a -> 400/21.
And by the Pythagorean theorem,
[tex]b = \sqrt{(21 + \frac{400}{21}) - {29}^{2} } = \frac{580}{21} [/tex]
Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym that
cost an additional $8 per class. At the end of January, she paid $43.50 in total. How many yoga classes
did Wanda take in January? Write and solve an equation.
Answer: She took 6 yoga classes
Step-by-step explanation: So first
Subtract
$43.50 - $19.50 = $24
Carry then Divide
$24 / 8 = 6 Classes
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A video store took in $450 in DVD rentals during one day. If DVDs rent for $9 each, how many DVDs were rented.
Answer:
50
Step-by-step explanation:
This is because if each DVD costs $9 and the total cost was $450 then all you have to do is divide the numbers.
find the outlier for the following numbers. 15,6,4,12,13,34,3,27,6,4,3,4,4,14,4
Answer:
hope its helps you !