An expression is defined as a set of numbers, variables, and mathematical operations. The value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value for which the function will not be defined is the value of w which will make the denominator of the rational function zero. This values can be found by factorizing the denominator of the function. Therefore,
2w² + 11w + 5 = 0
2w² + 10w + 1w + 5 = 0
2w(w+5) + 1(w+5) = 0
(2w+1)(w+5) = 0
w = -1/2 , -5
Hence, the value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.
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Find the quadratic polynomial that completes the factorization.
u^3 - 27 = (u - 3)
Answer:
[tex]u^2+3u+9[/tex]
Step-by-step explanation:
The way to remember it, is like the square of a binomial, but all coefficients are 1.
So it's the square of the first term. The cross product. The square of the second. And you take only one of them.
In our situation is [tex]u^2+3u+9[/tex]
If you want a way to find it, the way you think is it. It's a second degree polynomial, so [tex]au^2+bu+c[/tex]. Then you multiply the terms together, and you have to get terms removing in a way that you're left with just [tex]u^3-27[/tex]. With some number crunching you'll end up with [tex]a=1; b=3, c=9[/tex]
PLEASE HELPPP!!!!!!!!
If 0.000689 =689 ×10 ^n, find the value of n
Will n be negative or positive, that is all I need
Thanks
Answer:
n = 6
Step-by-step explanation:
To find the exponent of 10, you can write the equivalent multiplier in standard form, then identify the place value of the 1 in the multiplier.
0.000689 = 689 × 0.000001
The 1 is in the 6th place to the right of the decimal point. The place value of digits in that place is 10^-6
0.000689 =689 × 10^n = 689 ×10^-6
n = -6
_____
In the attached, your number would fill in the blanks to the right of the decimal point. The least-significant digit (9) would have a value of 9×10^-6.
Need help, Brainliest if correct only…. dont answer if you don’t know. Thank u!
Answer:
3/1
Step-by-step explanation:
In triangle ABC, the known side is AC, which is equal to 6. The corresponding side to AC from triangle DEF would be FD, which is equal to 2. You divide 6/2 in order to get 3/1.
Ayuda porfavor!! E estado intentando y no lo puedo resolver
CURSO: MATEMÁTICAS FINANCIERAS
bro i really dont know this is hard
In the diagram above, what is point F called relative to ABC?
Answer:
Circumcenter
Step-by-step explanation:
The center that is created by intersection of the three perpendicular bisectors of your triangle sides.
The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green? Result Frequency Blue 7 Red 9 Green 6 Yellow 8
Answer: 10
Step-by-step explanation:
hope this helps
The variables x and y have a proportional relationship: when x is 4, y is 11.
What is the constant of proportionality for this relationship?
Enter your answer, as a decimal, in the box.
Answer:
2.75
Step-by-step explanation:
When x = 4, y = 11
when x = 1, y = 2.75
k = 2.75
What’s the circumstance of a circle with a diameter of 18 m
C = pi x d
C = 3,14 x 18 = 56,52 m
Answer:
The answer is 56.57
thank you
On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much faster was Karen on Wednesday than Tuesday?
PLS HELP FAST i have question in the picture if you just answer wrong for the points I will report you
Answer:
[tex]\sf x\ge \:4[/tex]
solving steps:
[tex]\sf 8\left(x-5\right)-3x\ge \:-20[/tex]
[tex]\sf \left(8x-40\right)-3x\ge \:-20[/tex]
[tex]\sf 5x-40\ge \:-20[/tex]
[tex]\sf 5x\ge \:-20+40[/tex]
[tex]\sf 5x\ge \:20\\[/tex]
[tex]\sf x\ge \:\dfrac{20}{5}[/tex]
[tex]\sf x\ge \:4[/tex]
answer is D x [tex]\geq[/tex]4
F(X)=-2x²+12x-13 alguien me ayuda por favor
Answer:
x = 3 ± [tex]\frac{\sqrt{10} }{-2}[/tex]
Step-by-step explanation:
To find the roots of this equation, we can either use facotring or the quadratic formula. Because this equation isn't facotrable, we will use the quadratic formula to solve it
-2[tex]x^2[/tex] + 12x - 13 = 0
x = [tex]\frac{-12 +- \sqrt{12^2 - 4(-13)(-2)} }{-4}[/tex]
x = [tex]\frac{-12 +- \sqrt{144-104} }{-4}[/tex]
x = [tex]-\frac{-12 +- \sqrt{40} }{-4}[/tex]
x = 3 ± [tex]\frac{\sqrt{10} }{-2}[/tex]
Which is the inverse of the function f(x) = 4x − 9?
Step-by-step explanation:
x and y trade places.
f(x) = y = 4x - 9
y + 9 = 4x
x = (y + 9)/4
and to make it a true function notation, we need to rename x to y and vice versa and get
y = (x + 9)/4
What effect does changing the function f(x)=3sin(x)+1to the function g(x)=3sin(x/4)+2 have on the graph of f(x)?
The graph is compressed vertically by a factor of 4 and shifted right 1 unit.
The graph is stretched horizontally by a factor of 4 and shifted up 1 unit.
The graph is stretched vertically by a factor of 4 and shifted down 1 unit.
The graph is compressed horizontally by a factor of 4 and shifted left 1 unit.
Answer:
The graph is stretched horizontally by a factor of 4 and shifted up 1 unit
Step-by-step explanation:
The effect of transforming the function is (b) The graph is stretched horizontally by a factor of 4 and shifted up 1 unit
How to interpret the transformations of the functions?The functions are given as:
f(x) = 3sin(x)+1
g(x) = 3sin(x/4)+2
Start by stretching the function f(x) horizontally by a scale factor of 4.
So, we have:
f'(x) = 3sin(x/4) + 1
Next, shift the function f'(x) upward by 1 unit.
So, we have:
f'(x) = 3sin(x/4) + 1 + 1
Evaluate the sum
f'(x) = 3sin(x/4) + 2
Rewrite as:
g(x) = 3sin(x/4) + 2
Hence, the effect of transforming the function is (b) The graph is stretched horizontally by a factor of 4 and shifted up 1 unit
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Landon is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?
The total number of ways this can be done is 144 ways
How to determine the number of outcomesGenerally, the total outcomes that are there when n objects are spinned is expressed as n!
n! = n(n-1)(n-2)!
If he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and three equal-sized sections labeled Walk, Run, Stop, the total outcome is expressed as:
Total outcome = 4! * 3!
Total outcome = 24*6
Total outcome = 144 ways
Hence the total number of ways this can be done is 144 ways
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A student buys batteries online. The batteries are sold in boxes of 24. Each order has a $5.00 shipping cost regardless of the number of batteries. The table shows the total cost for an order of different numbers of batteries. What is the total cost of an order of 144 batteries?
Answer:
You didnt give the chart so there for I can not give you a good answer
Step-by-step explanation:
What is the length of Line segment A B? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x.
9.7 m
10.4 m
37.3 m
38.6 m
Answer:
38.6 m
Step-by-step explanation:
Picture explanation
Hope this Helps!
Please mark Brainlest!
Answer:
38.6 m
Step-by-step explanation:
answer the questions.
By analyzing the data tables given, we will see that:
1) The range is 28.
2) The graph can be seen at the end.
3) There are clusters at 16 and 17, and 25 is an outlier.
4) The range decreases almost by 50%.
How to get the range for the data?
The range is defined by the difference between the largest and smallest values from the data set.
In this case, the largest is: 95The smallest is: 67So the range is: R = 95 - 67 = 28
The correct option is D.
How to make a line plot?For each time that a number appears, you need to make a dot above the correspondent value.
The graph can be seen below.
3) we have clusters on 16 and 17, and as you can see, the value 25 is really away of the rest of the values, so we have a gap, and 25 is an outlier.
4) With the 25, the range is:
25 - 16 = 9
If we remove it, the range is:
21 - 16 = 5
So the range decreases almost by a 50%.
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what’s the answer to 22= b/2 -2
b would equal 48
_________________
A line passes through ( – 8,6) and ( – 2, 3).
Find the y-intercept, b, of the line.
Answer:
[tex]\displaystyle [0, 2][/tex]
Step-by-step explanation:
First, find the rate of change [slopes]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{8 - 2} = m; \frac{-3}{6} \\ \\ -\frac{1}{2} = m[/tex]
We now plug the above information into the Slope-Intercept Formula. It does not matter which ordered pair is selected:
[tex]\displaystyle y = mx + b \\ \\ 3 = -\frac{1}{2}[-2] + b \hookrightarrow 3 = 1 + b; \boxed{2 = b} \\ \\ y = -\frac{1}{2}x + 2[/tex]
OR
[tex]\displaystyle y = mx + b \\ \\ 6 = -\frac{1}{2}[-8] + b \hookrightarrow 6 = 4 + b; \boxed{2 = b} \\ \\ y = -\frac{1}{2}x + 2[/tex]
Therefore, the line passes through the y-intercept of [tex]\displaystyle [0, 2].[/tex]
I am joyous to assist you at any time.
"When 85 is added to a number, the result is 45 more
than 6 times the number."
Answer:
136Step-by-step explanation:
85+45+6
136
this is solution ...
A car dealership sold 212 cars in 4 months. At what rate did the dealership sell cars in cars per month?
Answer: 59 cars per month
Step-by-step explanation:
Convert 5 3/4 to a decimal. Round to the nearest tenth.
Answer:
5.75
Step-by-step explanation:
Make denominator to 100 by multiplying by 25
4*25=100
3*25=75
75/100=.75
Find a polynomial of the specified degree that has the given zeros.
Degree 5;
zeros -4, -3, 0, 4, 3
Answer:
f(x)=x(x+4)(x+3)(x-4)(x-3)
Step-by-step explanation:
hello :
an polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)
means : f(x)=x(x+4)(x+3)(x-4)(x-3)
solve ~
[tex]2x + 1 - 4x = 7x + 5[/tex]
don't spam .-.
thankyou ~
Answer:
[tex]x=-\frac{4}{9}[/tex]
Step-by-step explanation:
2x + 1 - 4x = 7x +5
First, take 7x to the left side.
2x + 1 - 4x - 7x = 5
Now take 1 to the right side.
2x - 4x - 7x = 5 - 1
Now combine like terms.
-2x - 7x = 4
-9x = 4
Now divide both sides by -9.
x = - 4/9
Answer:
2x+1-4x=7x+5
-->2x-4x-7x=5-1
-->-2x-12x=4
-->-9x=4
-->x=-4/9
-->x=-4/9
Jake is tiling his bathroom floor. He uses three green tiles for every white tile. Jake uses twenty four tiles in total. How many of them are green?
Answer: I think the answer is 18
Does 3(7x +7) + 5x represent a number that is greater than, less than, or equal to 5(5x + 10)
Answer:
Step-by-step explanation:
from
3(7x +7) + 5x = 5(5x + 10)
21x+21+5x = 25x + 50
26x + 21 = 25x + 50
26x-25x +21 = 50
1x+21 = 50
1x =50-21
x = 29
equal when x= 29
try to x> 29 such as 30
3(7(30) +7) + 5(30) ? 5(5(30) + 10)
1470 ? 800
so greater than when x >29
finally
less than when x<29
Answer:
When x = 29: the expressions are equal
When x < 29: 3(7x + 7) + 5x is less than 5(5x + 10)
When x > 29: 3(7x + 7) + 5x is greater than 5(5x + 10)
Step-by-step explanation:
Given expressions:
3(7x + 7) + 5x5(5x + 10)Expand both expressions:
3(7x + 7) + 5x
⇒ 21x + 21 + 5x
⇒ 26x + 21
5(5x + 10)
⇒ 25x + 50
Equate the expanded expressions and solve for x
26x + 21 = 25x + 50
⇒ 26x - 25x = 50 - 21
⇒ x = 29
Therefore, the expressions are equal when x = 29
When x < 29: 3(7x + 7) + 5x < 5(5x + 10)
When x > 29: 3(7x + 7) + 5x > 5(5x + 10)
Gabrielle is 15 years older than Mikhail. The sum of their ages is 81. What is Mikhail's age?
Answer:
33
Step-by-step explanation:
let g be Gabrielle age
m be mikhail age.
So according to this problem,
[tex]g + m = 81[/tex]
[tex]m + 15 = g[/tex]
Subsitue m+15 for g.
[tex](m + 15) + m = 81[/tex]
[tex]2m + 15 = 81[/tex]
[tex]2m = 66[/tex]
[tex]m = 33[/tex]
So mikhail age is 33.
A fair 6-sided die is rolled five times. What is the probability that the sequence of rolls is 3,4,1,2,6
Answer:
Step-by-step explanation:
probability = number of favorable outcomes/total number of outcomes
To find compound probability multiply all the probabilities together.
p(3) = 1/6
p(4) = 1/6
p(1) = 1/6
p(2) = 1/6
p(6) = 1/6
Multiply all of them together.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776
or
[tex](\frac{1}{6} )^5 = \frac{1}{7,776}[/tex]
how many boxes of enelopes can you buy with $12 if one box cost $3?
Answer:
Total cost = $12 (Cost of the box) x (Number of boxes) = (Total Cost) ($3)x(n) = ($12) 3n = 12 3n 3 = 12 3 to isolate the n divide by 3 on both sides n = 4 You can buy 4 boxes with $12 if the boxes cost $3 each.
Step-by-step explanation:
Answer:
you can buy 4 boxes hope it helps
Step-by-step explanation:
Multiply: (−1rs2)(35s2)
Answer:
-35rs^4
Step-by-step explanation:
hello :
(−1rs²)(35s²)= (-1)(35)(s^4)r = -35rs^4