Problem:
Solve 8b + 2(9÷3) + 3.2
Solution:
Let the expression:
\(8b+2\mleft(9\div3\mright)+3.2\)this is equivalent to:
\(8b\text{ + 2(3) +6}\)this is equivalent to:
\(8b\text{ +6+6 = 8b +12}\)Then, we can conclude that the correct answer is:
\(8b+12\)Determine the vertical asymptote and horizontal asymptote
The value of vertical asymptotes is, x = 9
And, The value of Horizontal asymptotes is,
y = - 4
We have to given that;
Expression is,
⇒ j (x) = 1/(x - 9) - 4
Now, We can simplify as,
⇒ j (x) = 1/(x - 9) - 4
⇒ j (x) = (1 - 4(x - 9)] / (x - 9)
⇒ j (x) = [1 - 4x + 36] / (x - 9)
⇒ j (x) = (- 4x + 37) / (x - 9)
Hence, For vertical asymptotes make denominator zero.
As, x - 9 = 0
x = 9
And, Here degree of numerator and denominator both are one.
Hence, Horizontal asymptotes is,
y = - 4 / 1
y = - 4
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I need help I suck at math please help me
It is given that
\(\begin{gathered} g(x)=3(2^{x)\text{ }}and\text{ h}(x)=2^{x-1} \\ \text{And we n}ed\text{ to find k(x)=(g-h)(x)} \end{gathered}\)Now
\(\begin{gathered} k(x)=(g-h)(x) \\ =g(x)-h(x) \\ =3(2^x)-(2^{x-1)^{}} \\ =2^x(3-\frac{1}{2}) \\ =2^x(\frac{6-1}{2}) \\ =2^x(\frac{5}{2)} \\ =5(2^{x-1}) \end{gathered}\)So the correct option is
\(5(2^{x-1})\)PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.
In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:
The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.
The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.
The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.
Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).
What is the meaning of "\(\exists p_{1},...,\exists p_{n} (p=p_{1},...,p_{n})\)"?
The notation ∃p1,............... ∃pn indicates the existence of such values for p1, p2, ..., pn that satisfy the given condition.
The statement "∃p1,............... ∃pn (p= (P1,..., Pn))" means that there exists a tuple of variables p1, p2, ..., pn, which represents a set of values P1, P2, ..., Pn. The notation (p1, ..., pn) denotes a tuple, where each pi corresponds to a specific value.
In this context, the statement asserts the existence of a tuple (p1, ..., pn) that satisfies the condition p = (P1, ..., Pn), where p is a shorthand representation of the tuple (P1, ..., Pn). It implies that there are values P1, P2, ..., Pn that can be assigned to p1, p2, ..., pn, respectively.
The notation ∃p1,............... ∃pn indicates the existence of such values for p1, p2, ..., pn that satisfy the given condition. It is a way of expressing that there are values within the domain that make the statement true.
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What is 1.3 in improper fraction form
which sides form a right triangle
Answer:
c
Do i get brainliest lol
X squared plus 5x plus 6 in a factor of binomials
Answer:
(x + 3)(x + 2)
Step-by-step explanation:
Given
x² + 5x + 6
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2 , since
3 × 2 = 6 and 3 + 2 = 5 , thus
x² + 5x + 6 = (x + 3)(x + 2)
A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list?
Answer:
67.
Step-by-step explanation:
n - m = 66
The 66 includes the number m+1 up to and including n (buy not m).
So the number of integers is 66 +1 = 67
Tell if each shape is a polygon or is not a polygon. Explain how you know. What makes that shape a polygon or not a polygon?
hope it helps :-) good morning ☀️.
given that 3x+2=4 and 2y+6=5 what is x+y?
Really need help on this one!
The value of x+y using given equations is 3x+2y=1.
The given equation are 3x+2=4 and 2y+6=5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To find x+y:
3x+2+2y+6=4+5
⇒ 3x+2y+8=9
⇒ 3x+2y=1
Hence, the value of x+y using given equations is 3x+2y=1.
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1) Simplify by using the law of exponent
\( ( \frac{3}{7} ) ^{2} \times ( \frac{3}{7})\)
Answer:
Step-by-step explanation:
\((\frac{3}{7} )^{2} * (\frac{3}{7})^{2}\)
according to the laws of indices in multiplication case if the base are same then their power can be added. So,
\((\frac{3}{7} )^{2+1}\)
\((\frac{3}{7} )^{3}\)
\(\frac{3^{3} }{7^{3} }\)
\(\frac{27}{343}\)
Using the proper terminology, how would you explain and visually demonstrate that this is not always the case?
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
Answer is 6.
Step-by-step explanation:
The product is
\(15\times \frac{2}{5}\)
Now, it does not means that the product of two quantities is always more than the individual quantities.
here, 2/5 is a part of whole.
So,
The product is
\(15\times \frac{2}{5}\\\\=3\times 2\\\\= 6\)
The answer is 6 which is less than 15.
Here, it is the 2/5 part of whole 15.
Evaluate 4 + (m - n) ^4when m
7 and n = 5.
) The value of the expression is
Answer:
20
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the expression 4 + \((m - n)^4\) at m = 7 and n = 5 is 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3 + 4x = 5 is an expression.
We have,
An expression:
4 + \((m - n)^4\)
We will solve the expression when m = 7 and n = 5.
Now,
4 + \((m - n)^4\)
= 4 + \((7 - 5)^4\)
= 4 + \(2^{4}\)
\(2^{4}\) = 2 x 2 x 2 x 2 = 16
= 4 + 16
= 20
Thus,
The value of the expression 4 + \((m - n)^4\) at m = 7 and n = 5 is 20.
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Which is a better deal? Martha sells apples in 5 lb bags for $4.00 OR Steve sells apples in 3 lb bags for $2.25
Maria's deal is a better deal
Explanations:First Deal: Martha sells apples in 5 lb bags for $4.00
Price of a 5 lb bag of apples = $4
Price of a 1 lb of apples = $4 /5 = $0.8
Second deal: Steve sells apples in 3 lb bags for $2.25
Price of a 3 lb bag of apples = $2.25
Price of 1 lb of apples = $2.25 / 3 = $0.75
The deal with the highest price per pound is the better deal
Maria sells at a higher price per pound than Steve, therefore, Maria's deal is better
Finding Slopes of Perpendicular Lines
Given POIPO
Prove
= -1
PO
Ph.
PO
C-
QO
Qisa
Check
Answer:
You can find the slope of a line perpendicular to this line by using the points and going through (y2− y1) (x2 − x1) ( y 2 - y 1) ( x 2 - x 1), or you can just nab it right out of the slope-intercept form! Yes, the slope of this line is 3 4 3 4.
Step-by-step explanation:
complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument
According to the information, the missing number from the box is number 40.
How to find the missing number in the box?To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.
According to the above we can infer that the missing number is 40.
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Over what interval is the graph of f(x) = -(x + 3)? - 1 decreasing?
the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The given function is:
f(x) = -(x + 3) - 1
To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.
The derivative of the function is:
f'(x) = -1
The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.
Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
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What is 1 2/3 - 2 1/3
Answer:
- 2/3
Step-by-step explanation:
Solve the equation for Y
3y=-6x+1
y is -2 is the answer for the question
Answer:
6x + 3y = 1
I hope this helps!
pls help I'll mark brainliest
.38, .37, and .36 are all less than 1
what is the answer?
Answer:
I think it is C. Hope this helps!!! PLEASE MORK ME AS BRAINLYEST PLEZZZ
7. What is the y-intercept for the equation 5x-2y = -4?
о
(0,-2)
(0,2)
(0, -1/3)
(0,4/5)
Answer:
(0, 2)
Step-by-step explanation:
i got it nevermind!!!! dont need help
The Vales of x in the equations are : 1) 3 (2) 1 (3) 5 (4) 14 (5) 10 respectively
How to solve an equation?A linear equation in one variable is that in which the highest power of its variable is 1
The given equations and their solutions are
2x +1 = 7
By collecting like terms we have
2x = 3
x = 3
2) The given equation is 4x +7 = 11
By collecting like terms we have
4x = 4
Making x the subject we have
x = 1
3) 2x -3 = 7
By collecting like terms we have
2x = 10
Making x the subject we have
x = 5
4) 1/2 x - 3 = 7
By collecting like terms we have
1/2x = 7
x= 14
5) The given equation is 3x - 11 = 19
By collecting like terms we have
3x= 30
Therefore x= 10
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Given PU-UR, and the radius of the circle is 55, find x and UT.
10. x.
11. UT.
Show work
Answer:
10. x = 4
11. UT = 44
Step-by-step explanation:
You want the value of x and the length of segment UT that bisects chord PR at point U into halves marked UP = (9x -3) and UR = (7x +5). The radius of circle T is 55 units.
10. ChordPoint U is the midpoint of chord PR, so ...
UP = UR
9x -3 = 7x +5
2x = 8 . . . . . . . . . add 3-7x
x = 4 . . . . . . . . divide by 2
11. UTSegments UP, UT and TP form a right triangle with one leg ...
UP = 9(4) -3 = 33
and hypotenuse 55.
We observe that the ratio of these measures being 33/55 indicates triangle PUT is a 3-4-5 right triangle, with scale factor 11. That means UT is 4·11 = 44 units.
UT = 44 units
__
Additional comment
Recognizing triangles made from Pythagorean triples, such as {3, 4,5}, {5, 12, 13}, {7, 24, 25}, or {8, 15, 17} can save a lot of work. If you don't recognize these, you can find the missing side length from ...
TP² = UP² +UT²
UT = √(TP² -UP²) = √(55² -33²) = √1936 = 44
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the question is 4 1/5 x 5/14
Answer:
3/2
Step-by-step explanation:
Simplify the following:
((4 + 1/5)×5)/14
((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:
((4 + 1/5)×5)/14
Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:
(((5×4)/5 + 1/5) 5)/14
5×4 = 20:
((20/5 + 1/5)×5)/14
20/5 + 1/5 = (20 + 1)/5:
(((20 + 1)/5)×5)/14
20 + 1 = 21:
(21/5×5)/14
21/5×5 = (21×5)/5:
((21×5)/5)/14
((21×5)/5)/14 = (21×5)/(5×14):
(21×5)/(5×14)
(21×5)/(5×14) = 5/5×21/14 = 21/14:
21/14
The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:
Answer: 3/2
Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
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Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
hope this helps mark me brainliest if it did
Darren picked 25 flowers that he plans to divide evenly into 3 vases. He will use as many flowers per vase as he can, but may have flowers left
Answer:
So the number of flowers per vase
= 8 flowers per vase
Remainder= one flower
Step-by-step explanation:
Darren picked 25 flowers that he plans to divide evenly into 3 vases.
Number of Flowers touse per vase
= 25/3
Number of flowers to use per case
= 8.33
Number of flowers to use per case
= 8 1/3
We can see that it's 8 flowers per vase the a remainder of one flower Left.
So the number of flowers per vase
= 8 flowers per vase
Remainder= one flower
Answer: 8
Remainder: 1
An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure. The value of x is degrees, and the value of y is degrees.
Answer:
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Can someone help me
Answer:
Number of stars: 2+2+2+2+2+2
=6×2
Step-by-step explanation:
The stars are added in pairs of two. The pair that is 2+2+2+2+2 is five groups of 2 or 2 groups of five.
Since another pair of two wad added, there is one more pair. Instead of 5×2
Which means 5 groups of 4, it is not 6 groups of 2. I hope I helped you! Have a good day :3