Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
given the following measures of the side of triangles, which is a right triangle?
Answer:
Step-by-step explanation:
Essentially, we can use the pythagorean rule that:
a^2+b^2=c^2
c^2 resembles the hypotenuse, which is almost always the largest number. therefore, we simply have to find two which equal the largest side:
9^2+40^2=41^2
81+1600=1681
1681=1681
Based on this math, A is our right angle!
Hope this helps!
Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
Simplify to find the answer
[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]
This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100
Answer:
d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know
Step-by-step explanation:
HELPPPPPPPPP!!! THIS IS DUE SOON!!!!!!!
Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Help please and thank you
Answer:
(a) P = 3000·1.15^t
(b) 12,137
Step-by-step explanation:
(a)The equation gets filled in so it looks like ...
P = (initial amount) × (1 +growth rate)^t
where t is in units compatible with the growth rate.
P = 3000·1.15^t
__
(b)Midnight is 10 hours later than 2 p.m., so the quantity will be ...
P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137
There will be 12,137 bacteria at midnight.
10 divided by 3 long division
Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:
The first number, 10, is called the dividend.The second number, 3 is called the divisor.What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.
10 divided by 3 step-by-step guideStep 1The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:
__
3| 10
Step 2We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:
_0_
3 | 10
Step 3If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:
_0_
3 | 10
0
Step 4Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:
___
3 | 10
- 0
__
1
Step 5Move the second digit of the dividend (0) down like so:
__0_
3 | 10
- 0
-----------
10
Step 6The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:
__03_
3 | 10
- 0
___
10
Step 7If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:
_03_
3 | 10
- 0
__
10
9
Step 8Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:
__03_
3 | 10
- 0
__
10
-9
_
1
So, what is the answer to 10 divided by 3?Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:
3 - Remainder 1Extra calculations for you:Using a calculator, if you typed in 10 divided by 3, you'd get 3.3333.You could also express 10/3 as a mixed fraction: 3 1/3If you look at the mixed fraction 3 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (3).help please anybody hmm
Answer:
94.6-18.8=75.8
75.8 is the answer
Step-by-step explanation:
Hope this helps
May i get braineist pls?
A car travels 286 km in three hours with a constant speed. How far can It travel in four hours with the same speed?
Answer:
381.(3) [km.]
Step-by-step explanation:
if according to the condition distance=286 [km] per 3 hours, then it is possible to make up the equation:
[tex]\frac{286}{3}=\frac{d}{4};[/tex]
and to calculate required distance 'd':
[tex]d=\frac{286*4}{3}=381.(3)[km].[/tex]
WILL GIVE BRAINLIEST
Answer:
A) 1: linear; 2: exponential (see equations in part B)
B) the value of 2 will be almost 15% greater
Step-by-step explanation:
Part A:As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.
The table values for Option 1 have a common difference of (1200 -1100) = 100.
The table values for Option 2 have a common ratio of (1210/1100) = 1.10.
Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.
Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.
__
Part B:The investment values after 7 years will be ...
Option 1: f(7) = 100(7) +1000 = 1700
Option 2: g(7) = 1000(1.1^7) ≈ 1948.72
The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)
David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .
Answer:
Step-by-step explanation:
Garage A = 7+3t
Garage B = 4+4t
Garage A = 7+6
Garage B = 4+8
B = Cheaper
Answer:
A = 3t + 7, B = 4t + 4, B is cheaper
Step-by-step explanation:
A = 3(2) + 7 = 6 + 7 = 13
B = 4(2) + 4 = 8 + 4 = 12
Solve for m.
35m>−30
m>−50
m<−50
m>−18
m<−18
[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]
what is n? solve for n+5=2n-6
Answer:
n = 11
Step-by-step explanation:
n+5=2n-6
you add 6 on both sides and you get
n+11=2n
you then subtract n on both sides and get
11=n
Step-by-step explanation:
n+5 = 2n - 6 -> Original equation
5 = n - 6 -> Take n away from both sides
11 = n -> Add 6 to both sides
n = 11 -> Final answer
*Remember, we are trying to get n by using inverse operations.
3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième
Answer:
4*15*pi
188.495559215
188.50
Answer:
188.50
Step-by-step explanation:
describe this graph of a Ferris wheel
Answer:
A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.
Step-by-step explanation:
but what graph
The Ferris wheel makes 4 rotations.
The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom
What is an equation of the line that passes through the points (2, 1) and (3, -4)?
Answer:
huh Step-by-step explanation:
its really hard
Answer:
y = -x - 1
Step-by-step explanation:
(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)
(y - 4)/(x - (-3)) = (4 - (-1))/(-3 -2)
(y - 4)/(x + 3) = 5/-5
(y - 4)/(x + 3) = -1
y - 4 = -1(x + 3
y - 4 = -x - 3
y = -x - 1
An object oscillates as it moves along the
X-axis. Its displacement varies with time
according to the equation
x = 4 sin(pi t + pi/6)
where t = time in seconds and
x = displacement in meters
What is the displacement between t= 0
and t = 1 second?
Using it's formula, it is found that the displacement between t= 0 and t = 1 second is of 0 m.
The equation of motion is given by:
[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]
The displacement between t= 0 and t = 1 second is given by:
[tex]d = x(1) - x(0)[/tex]
Hence:
[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]
[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]
Then:
[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]
The displacement is of 0 m.
You can learn more about displacement at https://brainly.com/question/248054
How can you find approximations of square roots?
Answer:
you can do a trial and improvement
Step-by-step explanation:
Mr. Pham mowed 2/7 of his lawn. His son mowed 1/4 of it.
Who mowed the most?
Answer:
Mr. Pham with 2/7
Step-by-step explanation:
2/7 = 0.286
1/4= 0.25
so 2/7 is ur correct answer.
Which number is greater than 555,621,000? A. 5.0 x 10 B. 6.2 x 10 C. 5.55621 x 10 D. 9.99 x 10
Answer:
None of these
Step-by-step explanation:
None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.
Answer: I believe D is correct
Step-by-step explanation:
helpp my grades are almost dueeeeeeee,,, but anyway hows yall dayyy?
Answer: c) -1/6, check picture below
Step-by-step explanation:
benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to brush his teeth?
Answer:
75
Step-by-step explanation:
First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.
i will report if you give any links or delete the answer. I need this answer desperately.
Answer:
If x = -3,
then y might equal -6
If y = -20,
then x might equal -13
Step-by-step explanation:
I have used a graph to estimate these answers. See image. If you are learning how to find the line of best fit for a data set, you might be expected to do those calculations, depending on the level of your math class. Many upper level math classes would use technology to find a line of best fit.
See image to see the data set given on an xy-axis in red. The circled areas are where the estimated numbers would lie, where
x = -3 (in blue) and where
y = -20 (in green)
The directions say estimate, so a graph is a good justification for several answers in the general area.
1/4 of 90. …………………????
Answer:
22.5
Step-by-step explanation:
If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
Answer:
The roots are 1 and 3.
k = 3.
Step- by-step explanation:
We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and α β = c/a.
The roots are written as α and α+2, then:
α + α + 2 = -(-4)
2α + 2 = 4
α + 1 = 2
α = 1
also
α (α + 2) = k
Substituting for α:
1(1 + 2) = k
k = 3.
The roots are 1 and 1 + 2 = 3.
Who are the two children that clung to the Ghost of Christmas Present? What do they symbolize?
Answer:
Ignorance and Want
Step-by-step explanation:
Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps
Answer:
The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.
How many twelfths make one whole
How many twelfths make one whole
Answer:
12
Step-by-step explanation:
1/12x1/x
1x=12x1
x=12
Answer:
12 twelfths make a whole.
Step-by-step explanation:
when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.
I hope this helps
A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet
write it in web and then u will find the answer in a calculator
The solution is Option A.
The scale factor of the blueprint is given by the equation 1 inch = 3 feet
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A blueprint has a scale of 4 inches = 12 feet
So , the value of equation A is
4 inches = 12 feet
Divide by 4 on both sides of the equation , we get
4 inches / 4 = 12 feet / 4
On simplifying the equation , we get
1 inch = 3 feet
Therefore , the value of A is 1 inch = 3 feet
Hence , the scale factor of the blueprint is 1 inch = 3 feet
To learn more about equations click :
https://brainly.com/question/19297665
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Why were people concerned with the East India Tea's Company monopoly over the
tea industry?
Answer:
You accedently put Mathematics I think you meant Social Studies haha
Step-by-step explanation:
Find 3 other points for this equation for both x and y ( bots don’t answer pls )
Answers:
Row one: x = -10 and y = -4Row two: x = 0 and y = 6Row three: x = 2 and y = 8There are infinitely many other possible answers.
===================================================
Explanation:
The [tex]\frac{3}{3}[/tex] simplifies to 1. Dividing any nonzero number over itself always leads to 1.
So the equation [tex]y = \frac{3}{3}x+6[/tex] simplifies to [tex]y = x+6[/tex]
To determine y, we add 6 to x.
Pick 3 random values you want for x.
Let's say we picked x = 0
y = x+6
y = 0+6
y = 6
So x = 0 leads to y = 6
-----------
If you tried something like x = 2, then,
y = x+6
y = 2+6
y = 8
So (2,8) is another point on the line
-----------
Lastly, let's try a negative number. Let's go for x = -10
y = x+6
y = -10+6
y = -4
The input x = -10 gives the output y = -4
There isn't any restriction on x, so you can use any number you want. Therefore, there are infinitely many possible answers.