The required slope of the given line is 2.5x+5y=20 m = 1/2
Given that,
To determine the slope of the line 2.5x+5y=20.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
standard equation of the line,
y = mx + C
Transform the given equation into the equation of the line,
2.5x+5y=20
y = 1/2x + 8
When comparing the above equation with the standard equation of line,
m = 1/2
Thus, the required slope of the given line is 2.5x+5y=20 m = 1/2
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How to synthetically divide polynomials.
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
What percentage of a dollar is the value of 5 quarters and 1 dime?
Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle
Answer:
44
Step-by-step explanation:
In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.
Answer:
the answer would be eight
Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .
1, 1, 2, 3, 5, 8 are the first six numbers of the fibonacci sequence. what is the eighth number?
Answer:
21
Step-by-step explanation:
1, 1, 2, 3, 5, 8, 13, 21
The required eighth number in the Fibonacci sequence is 21.
Given that,
1, 1, 2, 3, 5, and 8 are the first six numbers of the Fibonacci sequence. what is the eighth number is to be determined
The sequence is defined as the specific pattern of numbers in which they are arranged.
Here,
given Fibonacci sequence is 1, 1, 2, 3, 5, 8
The Fibonacci numbers, sometimes known as Fn, are a set of numbers in mathematics where each number is the sum of the two numbers before it.
According to the above definition,
7 th number = 5th number + 6th number =
7 th number = 5 + 8 = 13
8th number = 8 + 13 = 21
Thus, the required eighth number in the Fibonacci sequence is 21.
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Examine the table, which represents a linear function.
What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33
Answer:
I believe it should be 3 23
Answer:
2.5
Step-by-step explanation:
The rate of change can be found from the slope formula.
m = (y2 -y1)/(x2 -x1)
Using the first two lines of the table, we find ...
m = (23 -18)/(-3 -(-5)) = 5/2
The rate of change of the function is 5/2 = 2.5.
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
Rahul earns 21,000 in 7 months.
a) How much does he earn in 12 months!
b) In how many months will he earn *33,000?
Answer:
a _ 12×21000/7 = 36000
b _ 33 × 7 / 21000= 11 months
Manuel cuya estatura es de 1.75 m observa la parte alta de un poste de 18.25 m de altura, con un ángulo de elevación de 30°. La distancia horizontal que hay entre el hombre y el poste es¬
Answer:
i don't understand
Step-by-step explanation:
Order the given rational numbers from least to greatest: 4 1/4
3.3
3 1/3
-4 1/4
-3
Answer:
-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4
Step-by-step explanation:
make all fractions decimals
4 1/4 = 4.25
3 1/3 = 3.33333..
-4 1/4 = -4.25
4.25 , -3 , 3.3 , 3.33... , 4.25
¿Se pueden reducir términos semejantes en la expresión? y +3x +4y+x+3y+2x. ¿Por qué?
Answer:
8y + 6x
Step-by-step explanation:
Combine like terms
y + 3x +4y + x + 3y + 2x
= (y + 4y + 3y) + ( 3x + x + 2x)
= 8y + 6x
Express the perimeter of the triangle as a polynomial
8x - 2
5x - 4
9x - 3
Answer:
P = a + b + c
P = (8x + 2) + (5x - 4) + (9x + 3)
P = 8x + 5x + 9x + 2 - 4 + 3
P = 22x + 1
I hope this helps.
What is the least common denominator of 11/12 5/6 1/5
Answer:
11/12 = 132
5/6 = 30
1/5 = 5
All of the numbers after the equal sign, are LCDs of the fraction.
Have a great day friend! :D
Answer:
60
Step-by-step explanation:
PLZ HELP 400 POINTS AND BRAINLIEST
Answer:
A=9
b=2.75
POINTS A AND B ARE 9 UNITS APART
Step-by-step explanation:
enjoy hope i get what i was promised :D
Answer:
a and b are 9 units apart
Step-by-step explanation:
Are the ratios 8:10 and 4:5 equivalent?
Answer:
yes the ratio are equivalent
Answer:
yes they are egivalent
Step-by-step explanation:
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
Group of answer choices
7
3
5
9
11
Answer:
3
Step-by-step explanation:
because 3 is a prime number and 3+2=5 which is also a prime number
f(x)= 2/3x+5 for f(15)
solve for f(15)
pls help im taking a test rn and failing my grade Q-Q
Answer:
So......cheating eh? jk, the answers 15
Step-by-step explanation:
you plug in 15 for x ==> 2/3 x 15 + 5 = f(15)
simplify ==> 10+5 = f(15)
so f(15) = 15
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The number of comic books is an illustration of a linear function
The complete equations are: [tex]\mathbf{8b + 17 =65}[/tex] and [tex]\mathbf{b =6}[/tex]The value of b has increased by 4She had 17 comic books already.
So, we have:
[tex]\mathbf{Base\ Amount = 17}[/tex]
Her order of 65 books contains 8 comic books per collection.
So, we have:
[tex]\mathbf{Rate = 8}[/tex]
[tex]\mathbf{Total = 65}[/tex]
This is represented as:
[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]
So, we have:
[tex]\mathbf{8\times b + 17 =65}[/tex]
Rewrite as:
[tex]\mathbf{8b + 17 =65}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b =48}[/tex]
Divide both sides by 8
[tex]\mathbf{b =6}[/tex]
Assume she has 97 books in her collection, then the equation would be represented as:
[tex]\mathbf{8b + 17 = 97}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b = 80}[/tex]
Divide both sides by 8
[tex]\mathbf{b = 10}[/tex]
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
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what are all the common factors of 15, 45, and 90?
and what are all the factors of 15, 45 and 90?
Shreyas went to the fair and played a game with three spinners. He spins each spinner once and wins a prize if he gets 2 blues and 1 red.
Using the principle of probability, the likelihood that Shreya wins by getting 2 blues and 1 red is 0.416
Creating an area model for the first two spinners :
___ G _ B _ B _ R _R _R
R_RG_RB_RB_RR_RR_RR
R_RG_RB_RB_RR_RR_RR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
G_GG_GB_GB_GR_GR_GR
G_GG_GB_GB_GR_GR_GR
Creating an area model or tree diagram for the third spinner would result in a sample space of (48 × 12) = 576 combinations.
However, the probability that Shreya would win can be obtained thus :
To win he needs to pick get 2 blues and 1 red in any order :
3! = 3 × 2 × 1 = 6 ways
P(BBR) = 1/3 × 4/8 × 5/12 = 0.0694444
P(winning) = 6 × 0.0694444 = 0.416
Therefore, the probability that Shreya wins is 0.416.
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What is the slope of the line?
y-4=-7(x-6)
Answer: −7
Step-by-step explanation:
Please someone answer these for me this is confusing this is a major try to find the domain range and end behavior for all of these
Answer:?? I don't understand that sorry, I'm unhelpful
Step-by-step explanation:
18= 1.57(multiply sign) X^2.2
please give me steps!!!
Answer: x = 3.030631 approximately
Explanation:
If you want to solve for x, then you could follow these steps:
[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]
In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line. The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]
What is the value of the function y= 2x – 3 when x = -1?
O --5
O-1
o 2
03
Answer:
y= 2x-3
when X= -1
y= 2(-1)-3
y= -2-3
y= -5
The value of the given function y=2x-3 is -5 when x=-1
What is a function?A function is a correspondence from the two set A to set B in which each element of set A has a unique image in B. Generally we denote a function by f or y.
Here the given function is y=2x-3
Putting x= -1 in the given function y=2x-3 , we get
y= 2(-1) -3
y= -2-3
y= -5
Hence the value of the function y= 2x-3 is -5 when x=-1 .
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Can someone help ?????
Accordingly the answer is Nineteen Fourths.
Will mark brainiest if right Is this function linear or nonlinear?
y=3x−5
Answer: This function is linear because it forms a straight line when graphed.
Would appreciate brainly <3
Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)
Answer:
D
Step-by-step explanation:
In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"
In A above, (3,-2), (2,-1), (3,4), (4,7)
There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.
B. (0, 4), (1, 2), (1, 0), (2, 3)
There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.
C. (2, 5), (3, 8), (4, 11), (4, 12)
4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.
D. (1, 7), (2, 5), (3, 6), (4, 1)
D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.
NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!
Answer:
a - 6%
b - $7.50
Step-by-step explanation:
The answer for a
the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%
The answer for b
Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50
2/7 x (-7/9) xdx lel'jobrfjb13rgifj2noinf ehelp
Find the value of x and y.
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
Find the perimeter. Simplify your answer.
Step-by-step explanation:
perimeter =
2(L+B)
=2× (7z+3 +3z+5)
2×10z +8
=20z+16