Answer:
The product of two consecutive integers:x · (x+1) = x(x + 1)Step-by-step explanation:
Consecutive integer:
... -2, -1, 0, 1, 2, 3, ...
Difference between two consecutive integers is equal to 1.
Therefore two consecutive integers is x and x + 1.
Which expressions are equivalent to 5x-15?Check all that apply
5(x+15)
5(x-3)
4x+3y-15-3y+x
-7y-6x-8y+x
-20-3x+5+8x
Answer:
Step-by-step explanation:
4×+3Y-15-3y+×
The equivalent expressions to 5x-15 are 5(x-3), 4x+3y-15-3y+x, and -20-3x+5+8x. These simplify to 5x-15 when combining like terms and distributing, matching the original expression.
The student is asking which expressions are equivalent to 5x-15. To find the equivalent expressions, we need to check each option to see if they simplify to the same form.
5(x+15) is not equivalent because when you distribute the 5, you get 5x + 75, which is not the same as 5x - 15.5(x-3) is equivalent because when you distribute the 5, you get 5x - 15, which matches the original expression exactly.4x+3y-15-3y+x is equivalent because when you combine like terms (4x + x and 3y - 3y), you get 5x - 15.-7y-6x-8y+x is not equivalent because even if you combine like terms, the x terms do not add up to 5x, nor do the constants add up to -15.-20-3x+5+8x is equivalent because when you combine like terms (-3x + 8x), you get 5x, and when combining constants (-20 + 5), you get -15; hence, it simplifies to 5x - 15.Therefore, the expressions 5(x-3), 4x+3y-15-3y+x, and -20-3x+5+8x are equivalent to 5x - 15.
Each bottle of lemonade costs the local soccer team $0.75 they have $437.25 in their treasury to buy as many bottles of lemonade as possible to sell for a profit at their soccer games. How many bottles can they afford to buy.
$437.25 ÷ $0.75 = 583 bottles of lemonade
Hope this helps :)
1.) 2x + y = 3 2.) x - 2y = -1 If equation 1 is multiplied by 2 and then the equations are added, the result is
What is the surface area of a box that is 237.7 in squared if it is scaled up by 10
The ratio of boys to girls in a group is 5:3. If there are 16 more boys than girls, work out how many people there are in total.
We find that there are 24 girls and 40 boys, leading to a total of 64 people in the group.
To solve for the total number of people in the group given the ratio of boys to girls and the information that there are 16 more boys than girls, we can set up a proportion based on the ratio 5:3. Let the number of girls be represented by x and the number of boys be represented by x + 16, as there are 16 more boys than girls. From the ratio 5:3, we know that for every 8 parts (5+3), there are 5 parts boys and 3 parts girls. This gives us two equations: 5/8 of the total is boys, and 3/8 of the total is girls.
From the information given:
(x + 16) / x = 5 / 3
Cross-multiplying gives us:
3(x + 16) = 5x
3x + 48 = 5x
48 = 5x - 3x
48 = 2x
x = 24
This means there are 24 girls. Since there are 16 more boys, this means there are 24 + 16 = 40 boys. Adding up the boys and girls gives us the total number of people in the group:
40 boys + 24 girls = 64 people in total.
In 2000 there were approximately 27 million people 18-24 years old in the United States.
Please help me out if possible. :)
Answer:
R(c - a, b)Step-by-step explanation:
Look at the picture.
R(x, y)
y - is the same as second coordinate of the point Q → y = b
x - is first coordinate of the point S reduced by distance a → x = c - a
State the domain and range of the graph in interval notation.
Answer:
The domain is the interval [tex][-6,6][/tex]
The range is the interval [tex][-2,2][/tex]
Step-by-step explanation:
we know that
Observing the graph
The domain is the interval [tex][-6,6][/tex]
All real numbers greater than or equal to -6 and less than or equal to 6
The range is the interval [tex][-2,2][/tex]
All real numbers greater than or equal to -2 and less than or equal to 2
The graph's domain spans from -6 to 6, and the range extends from -2 to 2. In summary, the domain is [-6, 6], and the range is [-2, 2].
In the given graph, the domain represents all possible input values, and it spans from -6 to 6, inclusive. This is because the graph includes every real number greater than or equal to -6 and less than or equal to 6 along the horizontal axis.
The range, on the other hand, corresponds to the output values of the function and extends from -2 to 2, inclusive. This is derived from the observation that the graph encompasses all real numbers greater than or equal to -2 and less than or equal to 2 along the vertical axis.
The domain is [-6, 6], indicating all real numbers between -6 and 6, and the range is [-2, 2], signifying all real numbers between -2 and 2. The graph visually illustrates these intervals as the inclusive bounds for both domain and range.
To learn more about domain
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HELP PLEASE LAST QUESTION I NEED!!!!!!!!!!!!!!!!!
The question is a little blurry. I can't read it.
Answer:
I believe the answer is c.
Step-by-step explanation:
35 POINTS HELP PLEASE! RUNNING OUT OF TIME!
Answer:
[tex]\large\boxed{9x^8,\ 25x^{12},\ 36x^{16}}[/tex]
Step-by-step explanation:
[tex]Use\\(\sqrt{s})^2=s\ for\ s\geq0\\(a^n)^m=a^{nm}\\(ab)^n=a^nb^n\\a^n\cdot a^m=a^{n+m}\\===========================\\6x^2=(\sqrt6)^2x^2=(x\sqrt6)^2\to\boxed{NOT}\\\\9x^8=3^2x^{4\cdot2}=3^2(x^4)^2=(3x^4)^2\to\boxed{YES}\\\\16x^9=4^2x^{8+1}=4^2x^{4\cdot2}\cdot x=4^2(x^4)^2x=(4x^4)^2x\to\boxed{NOT}\\\\25x^{12}=5^2x^{6\cdot2}=5^2(x^6)^2=(5x^6)^2\to\boxed{YES}\\\\36x^{16}=6^2x^{8\cdot2}=6^2(x^8)^2=(6x^8)^2\to\boxed{YES}[/tex]
Answer:
[verb] to allow someone to do; to allow something; to acquiesce on something; to concede something.
20 POINTS!!!!!!!!!
Which data sets could be used to create the box plot below?
4, 11, 8, 12, 1, 6, 14
10, 6, 9, 14, 1, 6, 12, 7
14, 10, 6, 9, 11, 8, 1
6, 8, 11, 1, 7, 14, 10
7, 9, 11, 1, 6, 7, 14, 8
Select more than one answer
4,12,16,22,32,45648383929282
Answer:
B.) 10, 6, 9, 14, 1, 6, 12, 7
&
D.) 6, 8, 11, 1, 7, 14, 10
Step-by-step explanation:
i got it right
What is the value of X in the triangle below to the nearest degree? The triangle is not drawn to scale. I selected an answer but I’m not sure about it
Answer:
x = 25
Step-by-step explanation:
To find the value of x we use the formula:
tan x° = opposite side /adjacent side
Opposite Side = 8
Adjacent Side = 17
tan x° = 8/17
tan x° = 0.4705882352941
[tex]Tan^{-1}[/tex] of [tex]0.4705882352941[/tex]
x° = 25
Which choice is equivalent to the product below? Square root Of 8 Times Square root 3
Answer:
The answer would be around 3.7
Step-by-step explanation:
How do the expressions 72 / 9 and -72/ (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign.
Answer:
D. They have the same value and the same sign.
Step-by-step explanation:
72 / 9 and -72/ (-9)
Answer:
D
Step-by-step explanation:
just took the test
Complete the statements describing investments by filling in the correct words. Different investments have different levels of and offer different rates of return. For example, investing in property than investing in bonds.
Answer:
Risk
More risky
Step-by-step explanation:
Got it right on edmunto
Different investments have different levels of - RISKS and offer different rates of return. For example, investing in property is MORE RISKY than investing in bonds.
The property rates can change drastically within a short period of time, while bonds are static in income. This is why investing in property is riskier than investing in bonds.