Answer: x=3 or x=-17
Step-by-step explanation: go to mathpapa.com and type the question. then click step by step it is really helpful.
How many numbers x between 1 and 100 (inclusive) have the property that x2+x3 is a perfect square?
(Please help. I'm suffering)
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Explanation:
Factor the given expression
x^2+x^3
x^2*1+x^2*x
x^2(1+x)
x^2(x+1)
We end up with something where the factor x^2 is a perfect square regardless of whatever we replace x with from the set {1,2,3,...,99,100}.
In short, we don't need to worry about the x^2 portion.
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The only thing of importance is the x+1 factor.
The x+1 must be a perfect square so that the original expression is as well.
Let's say M is some perfect square between 1 and 100. That means M belongs to the set of values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
If we want M+1 to be a perfect square, then we'll need to subtract 1 from each item in that set above to counteract the "plus 1" in "M+1".
Subtract 1 from each item to end up with this modified set
{0, 3, 8, 15, 24, 35, 48, 63, 80, 99}
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Every item mentioned in that second set will make x^2+x^3 to be a perfect square.
For example, let's pick x = 15
x^2(x+1) = 15^2*(15+1)
x^2(x+1) = 15^2*16
x^2(x+1) = 15^2*4^2
x^2(x+1) = (15*4)^2
x^2(x+1) = 60^2
This confirms that x^2+x^3 is a perfect square for x = 15. I'll let you check the other values.
There are 10 values in the set {1^2,2^2,...,9^2,10^2} = {1,2,...,81,100}. There are also 10 values in the set {0,3,8, ..., 80, 99} we got earlier. The cardinality hasn't changed. However, we'll kick out 0 because it's not between 1 and 100. So we end up with 9 as our final answer.
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To summarize, there are 9 values of x that make x^2+x^3 a perfect square, where x is some whole number between 1 and 100 inclusive.
Write the equation of a line passing through point (9, 7) and is parallel toy=43x+6. (Place your answer in slope intercept form and do not use spaces in your answer).
I don't know I don't know
Please help! I'll mark Brainliest.
I just need to know what G and F are! Or how to find them? I'm being timed!
Answer:
G and F are the lines I guess? You have to use them to answer the rest of the questions.
I’m confused someone please help!
Answer:
it would be 4 days
frequency is the number of days in this problem
the number of questions is on the bottom part and the days are on the left part
find the volume and surface area of prism
Follow up from the attachment.
Figure 2
Surface area:319cm²
Volume:184cm²
May I please receive help?
Answer:
68
Step-by-step explanation:
Hey your so polite and it’s appreciated! First mark other side of angle (right) as 28. 180-56 = 124. Since other side is smaller don’t make it equal. So it has to be higher than 61. So it’s 68! hope this helps !
b^(3) * b^(4) write without exponents
Answer:
(b×b×b)×(b×b×b×b)
Step-by-step explanation:
Writing the equation out is the only way to remove the exponents.
Check Your Understanding HELP ASAP!!!
Answer:
B. [tex]9(\frac{4}{5} * \frac{1}{3})[/tex]
Step-by-step explanation:
In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
As the associate property is switching the numbers in the parentheses, B is the answer as it switched the [tex]\frac{1}{3} and \frac{4}{5}[/tex] while keeping the equation the same, and not editing any information that would change the outcome (answer) of the problem.
Arithmetic sequence for a1=5
Answer:
a =5that is the answer ok
If the expression is expanded, what is the coefficient of x? 4(3x+5)
Answer:
12
Step-by-step explanation:
4 ( 3x + 5 )
= 4 ( 3x ) + 4 ( 5 )
= 12x + 20
The coefficient of x in 12x is 12.
Choose the fraction that is equal to:
0.8 repeating A)8/9 B)6/7 C)8/10 D)2/25
Answer:
A) 8/9
Step-by-step explanation:
8 divided by 9 is 0.88888888888888888888889 on a calculator
The fraction that is equal to 8/9. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
⇒ 0.8888...
Convert the decimal number into a fraction number, then we have
Let x = 0.8888..., then
10x = 8.888....
10x - x = 8.8888.... - 0.8888...
9x = 8
x = 8/9
The fraction that is equal to 8/9. Then the correct option is A.
More about the Algebra link is given below.
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Can y’all help with 5 and 6 please !
I don’t know why I don’t get it-
Factor the polynomial x^2 + 4x + 4
What is the scale factor from Figure A to Figure B?
Answer:
1/3Step-by-step explanation:
The figure B is the scaled copy of the figure A.
The both figures are similar to each other.
The scale factor is the ratio of corresponding sides of figure B to A:
k = 3/9 = 1/3or
k = 1.2/3.6 = 1/3On figure A sides are.
9,3.6On figure B sides are.
3,1.2Scale factor[tex]\sf\longmapsto k=\dfrac{3}{9}=\dfrac{1.2}{3.6}=\dfrac{1}{3}[/tex]
I can’t figure out how to solve 2(x+1) = 2x+1
Answer:
[tex]2(x + 1) = 2x + 1 \\ 2x + 2 = 2x + 1 \\ collecting \: like \: terms \\ 2x - 2x = 1 - 2 \\ 1x = - 1 \\ x = - \frac{1}{1} \: \: or \: \: x = - 1[/tex]
Answer:
-1
Step-by-step explanation:
Part E
? Question
How would the situation change if the interest on Emma's credit card were compounded annually
rather than monthly, and she didn't make any payments toward the balance?
Select the correct answer from each drop-down menu.
After 4 years, Emma would owe approximately $ M for her original purchase of $300.
It would take around years for her balance to increase from $300 to $450.
Answer:
$525
2.9 years
Step-by-step explanation:
This question is about financial management. It is to be noted that it would take around 2.9 years for her balance to increase from $300 to $450.
What is the calculation for the above?Note that according to the question,
After 4 years, Emma would owe about $525 for her original purchase of $300.
The equation will be:
300 * (1 + x)[tex]^{4}[/tex] = 525 (This is based on the compound interest formula_
⇒ (1+x)[tex]^{4}[/tex] = 7/4 (If we divide both sides by 300)
Hence
x = 0.1502
= 15.02%
When the balance ups from $300 to $450,
We can state that:
300 * ( 1+ 15.02%) [tex]^{y}[/tex] = 450
⇒ Hence, y = 2.9 years.
Learn more about financial management at:
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The Ferrari Testarossa and the Porsche 911 Turbo are 400 miles apart and headed straight toward each other. The Ferrari is going 120mph, and the porsche is going 130 mph. How many hours will it take for the accident to occur?
Answer:
1.6 hours
Step by step explanation;
1 hour would make them only 150 miles apart, 60% of 120 and 60% of 130 added together is 150 mph, so 1.6 hours
Hope this helps :)
what are four different kinds of graphs and what makes them unique?
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs
Answer:
A pie chart is to illustrate numerical proportion.
Line graphs are used to track changes over short and long periods of time.
Bar graph is a graph that presents categorical data.
Scatter plots' uses are to observe and show relationships between two numeric variables.
Step-by-step explanation:
:)
can someone tell me the answer i kneed help no scams
yh is the goat and the most likely part in a world of a home and the family will not have much of the
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 300, 30, 3,
Answer:
Arithmetic
Step-by-step explanation:
300: 30: 3
100: 10: 1
what are the x and y intercepts of the equation -2x +3y=10
Answer:
Step-by-step explanation:
To find the x-intercept, let y = 0 and solve the resulting equation for x:
-2x + 3(0) = 10, or -2x = 10. This results in x = -5; the x-intercept is (-5, 0).
To find the y-intercept, let x = 0 and solve for y: -2(0) + 3y = 10, or y = 10/3.
The y-intercept is (0, 10/3).
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
x =
Answer:
2/3 My guy
Step-by-step explanation:
Answer:
The completeness property for points in the plane tells us two things
Exactly one point in the plane is named given the numbers of the ordered pair and
Exactly one ordered pair of numbers names a given point in the plane.
To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.
A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.
Step-by-step explanation:
A water park has pools, slides, and rides that, in total, make use of 8.7\times 10^{6}8.7×10 6 gallons of water. They plan to add a ride that would make use of an additional 4.8\times 10^{3}4.8×10 3 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed.
Answer:
as i said i would go with 93-51=42
Step-by-step explanation:
8.7*10.6=92.22 and 8.7*10+6=93
4.8*10.3=49.44 and 4.8*10+3=51
so i am thinking that you would add 93+51 which equals 144...
or you could try 93*51 but your gunna get 4,743
or try 93-51 which is 42
or try 93 diveded by 51 which is 1.8235294117647058
I would go with 93-51=42!
hope this helped:)
After the new attraction is constructed, the park will have used 8704.8 × 10³ total gallons of water.
What is Algebra?Algebra is the study of mathematical symbols, while logic is the manipulation of those signifiers.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS principle. To answer the problem properly and accurately, this rule must be followed.
A water park uses 8.7 × 10⁶ gallons of water in total for its pools, slides, and attractions. They intend to include a ride that will use an extra 4.8 × 10³ gallons of water.
After the new attraction is constructed, the park will have used the total gallons of water is given as,
⇒ 8.7 × 10⁶ + 4.8 × 10³
⇒ 8700 × 10³ + 4.8 × 10³
⇒ 8704.8 × 10³
After the new attraction is constructed, the park will have used 8704.8 × 10³ total gallons of water.
More about the Algebra link is given below.
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1. Which is the meaning of the inequality - 6 < x in words?
Negative 6 is less than or equal to a.
Negative 6 is not equal to .
Negative 6 is greater than 3
Negative 6 is less than 2.
Answer:
first choice
Step-by-step explanation:
Answer 6-7 thanks!!!!
if you work 35.6 hours and get paid $7.85 a hour how much is that in total
Answer:
$279.46
Step-by-step explanation:
to solve this equation you have to multiply 35.6 to 7.85
35.6 * 0.05 = 1.78
35.6 * 0.8 = 28.48
35.6 * 7 = 249.2
1.78 + 28.48 + 249.2 = $279.46
I have to do this again because it didn’t show my picture
Answer to the second question.
9
Step-by-step explanation:
3⁴ simply means 3×3×3×3=81
3² 3×3=9
81/9=9
A long tunnel has the shape of a rectangular prism. It is about 100 cm high, 10 m wide and 1 km long. What is the volume of the tunnel expressed as an exponent?
A. 10^4 m3
B. 1000 cm3
C. 1 km3
D. 10^3 m3
AGAIN LAST BUT NOT LEAST
This is for the smarty pants
and the person knows who I am talking bout
Answer:
Mr. Smarty Pants here
Distance between some points
A and B = 2
B and C = 5
C and B = 5
Four points that are 7 away from another point
-2,1
5,-6
5,8
12,1
Distance between some points
4
(3a²b)³ 5678910111213141516171819209