Answer:
f'(x)=6x+8
Step-by-step explanation:
write the equation for a line that passes through the points (5,5) and (7,-5)
Answer:
y = - 5x + 30
James has a piece of construction paper with a length of 9/10 feet and a width of 2/3 feet.
What is the area of James's piece of construction paper?
Area = length x width
When you multiply fractions, multiply top number by top number and bottom number by bottom number:
9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:
18/30 reduces to 3/5
Answer: 3/5 square feet
A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Answer:
60
Step-by-step explanation:
time * speed
in seconds 60x *4 = 2.5(60x + 900)
x= 25
25 min * 4cm/2
distance = 60 meters
CHEck!!!
Using a system of linear equations, the distance between points A and B is 6000 cm
Initial speed = 4cm/secTime taken = Distance / speed
Let ; distance = d
To time :
t = d / 44t = d ______(1)Fro time :
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
2.5t + 2250 = d ______(2)
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
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A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t
Answer:Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
which ordered pair is a solution to the equation
A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.
a. True
b. False
Answer:
a
Step-by-step explanation:
True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.
The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.
The confidence level represents the probability that the interval contains the true population parameter.
In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.
Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.
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PLZZZ LOOK AT THE PHOTO PROVIDE HELPPPP I NEEED HELPPPPPPPPPOPP
Answer:
OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-
Step-by-step explanation:
Answer:
ITS A
trust me it's quite simple. you just need to find the overall pattern of the sequence
Some methods for graphing equations work well with certain equations and some don’t. Knowing which method to select based on the given equation is a valuable skill. You have learned three methods to graph equations. These methods are:
y = mx + b
find intercepts
use a t-chart
A. Post your response to the discussion board.
Using the following 3 equations, answer the questions:
11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18
How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?
Answer:
Step-by-step explanation:
I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"
This is what I got:
11x + y = 4
x+y=-2
x-2y=18
For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):
-------
11x + y = 4
y=-11x+4
-------
x+y=-2
y=-x-2
-------
x-2y=18
2y = x-18
y=(1/2)x-9
------
For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).
1. y=-11x+4 let x = 1; y = -7 : (1,-7)
y=-x-2 let x = 2; y= -4 : (2,-4)
y=(1/2)x-9 let x= 2; y=-8 : (2,8)
The y-intercepts tell us at point on the line for each equation:
(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)
Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!
The two points for each equation are:
1. (1,-7), (0,4)
2. (2,-4), (0,-2)
3. (2,8), (0.-9)
This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.
Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Explanation:
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red
Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10
Find mLJKL if mDKL = 80°
and mJKD=65º.
there is the answer to your problem
Which expression has a value between 0 and 1?
a. (1/2)^5 × (1/2)^10
b. (-3)^5
c. 4^-7 × 4^9
d. 2^2/2^-5
Answer:
a. (1/2)^5 × (1/2)^10
Step-by-step explanation:
HOPE IT HELPS YA
I will give you brainliest if you solve the math question
Answer:
x=70
y=55
Step-by-step explanation:
We can start by finding the opposite angle to 125.
180-125=55
We would use 180 because a line is a straight angle, therefore if you intercept the line both angles would add up to 180.
55 is y because they are equivalent.
the sum of all the angles is always 180 so...
55+55=110
180-110=7
Find the missing variable in the diagram below.
60 + (3x - 13) = (5x + 1)
60 + 3x - 13 = 5x + 1
3x - 5x = 1 - 60 + 13
-2x = -46
-2x / -2 = -46 / -2
x = 23
Answer: x = 23
Find the simple interest.
Principal
$160
Rate
5.5%
Time
4 years
The simple interest is
(Simplify your answer.)
Answer:
$35.20
Step-by-step explanation:
S.I. = (P×R×T)/100
=(160×5.5×4) /100
= (640×55) / 100×10
= (64×55) / 100
= 3520 / 100
= $ 35.20
brainliest plz
6. 2(x + 6) = 3(x + 1)
7. -2(4x+1) = 3(x+3)
8. 2(5x + 9) = 10x + 18
9. -5(x + 6) = -5x + 9
10. (h+20) = -5(h-6)
11. 3(2x-5) = -(x+1)
12. -3(d+1) = -2(3d-9)
Answer:
Hope this helps you
Step-by-step explanation:
6. x = 9
7. x = -1
8. x = True of all
9. no solution
10. h = 5/3
11. x = 2
12. d = 7
Are the ratios 2:3 and 4:6 equivalent? Explain your answer.
PLSS HELP ME
Answer: Yes
Step-by-step explanation:
2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.
6) Candace Parker bought some new furniture for her house. Tax was included in the price
of the furniture. She bought a chair for 213 dollars, a couch for $812.50, and a television
for $499.99. If she left a 15% tip on the final price of all the furniture how much would
she have paid in total for the furniture and the tip?
ning Carmelo Anthony
Answer:
$1,754,31
Step-by-step explanation:
Furniture = $213 + $812.50 + $499.99 = $1,525.49
15% * $1,525.49 = $228.82
Total = $1,525.49 + $228.82 = $1,754,31
Candace should have gone to Wayfair
Solve the system of equations by the substitution method. x+4y=6 y=3−x
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3
You subtract the equations to eliminate one of the variables (x) so that the other can be found
HELP! NOW!
During a sale at a store, sweaters are being sold at a 65% discount. Let x represent the discount on sweaters. The shirts have the same discount as the sweaters. Let y represent the discount on shirts. The pants do not have the same discount as sweaters. Let z represent the discount on pants. Which statement is true? A. x ≠ y B. x = y C. z = x D. y = z
Answer:
B. x = y
Step-by-step explanation:
Since sweaters discount (x) and shirt discount (y) are the same like we are told, then they are equal.
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4lou's car had 6.6 gallons of gas
Answer:
so they have 6.6 Gallons?
Step-by-step explanation:
i need help its math
Answer:
[tex]x=47[/tex]°
Step-by-step explanation:
what is the answer ..
Answer:
m = 5, -1/3
don't know if this is right or wrong
Answer:
if the questio is 3m-7 over 4 -2 than
Step-by-step explanation:
the awanser is 3/4m+ -15/4
A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blue socks. (a) Suppose that m socks are taken without replacement. Let Y be the random variable that counts the number of blue socks in the sample of m. What is the pmf of Y
Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
Find the distance from point A (-1/4,5)
to the line - x + 2y = 14. Round your answer to the nearest tenth.
Answer:
1.7 (units).
Step-by-step explanation:
1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:
[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex] , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;
2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:
[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]
If a van traveled 180 miles in 3 hours, how far could the van travel in 7 hours?
Answer:
42 miles
Step-by-step explanation:
180/3=6 6x7=42
Answer:
420 miles in 7 hours
Step-by-step explanation:
You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.
Simplify radicals please
How many solutions does the system have?\begin{cases} y = 9x-5 \\\\ y = 9x+6 \end{cases}⎩⎪⎪⎨⎪⎪⎧y=9x−5y=9x+6Choose 1 answer:Choose 1 answer:(Choice A)AExactly one solution(Choice B)BNo solutions(Choice C)CInfinitely many solutions
The solution to the given equations has infinitely many solutions
Given the following set of equations:
y = 9x - 5
y = 9x + 6
Equating both expressions
9x - 5 = 9x + 6
Collect the like terms
9x - 9x = 6 + 5
0x = 11
x = 11/0
x = ∞
This shows the solution has infinitely many solutions
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Answer: b
Step-by-step explanation: bc khan