Answer: [tex]2x^3-2x^2-13x+3[/tex]
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Work Shown:
I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]
Let [tex]y = x-3[/tex]
So,
[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]
The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.
A group of marine biologists on a marine expedition recorded the altitudes at which they found four animals. Which inequality correctly compares the altitudes at which they found the animals?
Creature Altitude (feet)
great white shark -430
sea urchin -452
sea turtle -502
garden eel -396
A.
sea turtle < sea urchin < great white shark < garden eel
B.
garden eel < sea urchin < great white shark < sea turtle
C.
great white shark < sea urchin < sea turtle < garden eel
D.
garden eel < great white shark < sea urchin < sea turtle
E.
sea turtle < great white shark < sea urchin < garden eel
Answer:
Option D
Step-by-step explanation:
Since we know that if the number is negative then the smaller the number is greater. Ex :-
-7 > -10
So,
Arranging the given altitude in descending order
-396 > -430 > -452 > -502
Hence,
The highest altitude is of garden eel. Then of great white shark. Afterward the altitude of sea urchin. At last the lowest altitude is of sea turtle
Answer:
Hope it will help you a lot.
We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2
Given:
3x - 2
To find:
Describe the parts of the expression
Solution:
3x - 2Let us consider, f (x) = 3x - 2
The standard equation of the straight line is given by, y = mx + c
comparing the given equation with straight line equation, we get,
f (x) = y
m = 3
c = -2
m is the gradient of line
c is the y intercept (the graph crosses the y - axis)
Write an inequality that represents the graph.
Answer:
y>1/2x+2
Step-by-step explanation:
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 2800 cubic feet. Find the dimensions of the pool. The smaller dimension of the pool is enter your response here ft and the larger dimension is enter your response here ft.
Answer:
smaller: 10 ftlarger: 35 ftStep-by-step explanation:
The volume of the pool is given by ...
V = LWH
Here, we have ...
V = 2800 ft³
H = 8 ft
L = 3.5W
Filling in these values, we have ...
2800 ft³ = (3.5W)(W)(8 ft)
100 ft² = W² . . . . . . . . . . . . divide by 28 ft
W = √(100 ft²) = 10 ft
L = 3.5W = 35 ft
The pool is 10 ft by 35 ft.
in this lesson several postulates will help establish a way to draw angles
Answer:
make 90°angle with the help of compase
Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint
Answer:
do you have any image of the question? If yes please pose here.
Answer:
See below:
Step-by-step explanation:
I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.
I am asking how this is when I found the median is 14!
Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
what is the sign of -5 times (-1/-2)
Answer:
-
Step-by-step explanation:
1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm
Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
If you want to learn more about acceleration, you can read:
https://brainly.com/question/16710160
6.3 rounded to the nearest whole number pls help me!!
Answer:
6
Step-by-step explanation:
Since .3 is below .5, you would not round 6 up to 7.
Desperately need help on question 2 & 3 !
13
x=15
because of the other one is the only thing
help with math asap!
ty in advance :)
Answer:
2.108*10^3
Step-by-step explanation:
Help Plz !!!
Suppose a manufacturer knows from previous data that 3.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one if found.
Is this a binomial experiment? Why or why not?
A. No, because the number of trials is not fixed.
B. No, because each trial cannot be classified as a success of failure.
C. Yes, because the situation satisfies all four conditions for a binomial experiment.
D. No, because the trials are not independent.
The experiment is not a binomial experiment because the number of trials is not fixed.
What is a binomial experiment?
A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.
The conditions for a binomial experiment include:
Each trial should be classified either as a success or a failure. There are a fixed number of observationsThe trials are indpendent.The number of trials are fixed.To learn more about binomial experiments, please check: brainly.com/question/17139967
Round 2593.6781 to nearest thousandths.
Answer:
The answer is 2593.678
Step-by-step explanation:
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.
The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Learn more on fractions here; https://brainly.com/question/78672
Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
The proportional relationship between the number of hours Taylor works, h, and her total earnings in dollars and cents, e, can be represented by the equation e=15.9he=15.9h. How much does she make in dollars and cents per hour?
The amount she makes in an hour is $15.90.
The amount Taylor earns is directly proportional to the hours Taylor works.
The equation that can be used to represent direction proportion is:
y = kx
where:
y = dependent variable
k = constant of proportionality
x = independent variable
e = 15.9h
Amount earned in an hour
e = 15.9(1)
e = $15.90
A similar question was answered here: https://brainly.com/question/24799762
May I please receive help?
Answer:
um
Step-by-step explanation:
Q.
10² + 20² - 5! = ?
note : ! it's a factorial sign
Goodluck
[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]
10² + 20² - 5! = ？
Answer:-380
Explanation:-=> 10² + 20² - 5!
=> 100 + 400 - (5 × 4 × 3 × 2 × 1)
=> 100 + 400 - 120
=> 500 - 120
=> 380
help? please and thanks
please ignore the work below it!! i am pretty sure it’s wrong!!
Easy math stuff- Geometry- **Requires big bran**
Answer:
8.2 CM
Step-by-step explanation:
ACCORDING TO THE MODEL
radius = 9*2 - 8*2
Diameter = 2 times radius
ok I cant too hard to explain because Im typing so its 8.2cm so
Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
Answer:
-8
Step-by-step explanation:
hi guys can y’all help me with this problem? i’m stuck :p
5/6+3/4+2/3 answer please
Answer:
2.25
Explanation
2/3 can be made into 4/6 then added to 5/6
Grab 5/6 and add it to 3/4, we do this by making them have the same bottom number (denominator) so we multiply 9/6 (4/6 + 5/6) by 2 (both top and bottom number) so now we have 18/12 + 4/6 so now we can make 4 be 12 by multiplying it by 3, but we need to do that to the top number as well to make it balanced, so now we have 18/12 + 9/12 and we get 27/12 or 2.25.
In a quadrilateral ABCD, line AC = x + 6 and line BD = 2x-4. For what value of x Is ABCD a rectangle?
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rectangle are the same length. This means ...
AC = BD
x +6 = 2x -4
10 = x . . . . . . . . add 4-x to both sides
The figure is a rectangle for x=10.
Solve each equation
6y-8-6-8y=4
Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
Solve this please do the model
If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?
Answer: 28 hours over 172$ that mean 6.14 per hour
so 257.88$ minimum for 42 hours
Step-by-step explanation:
28 hours over 172$ that mean 6.14 per hour
so if we say she work in one day 6 hours that mean in one weak 42 hours
so 42*6.14= 257.88 $