If f(x) = g(x)
Then :
(x-4)/(x²+1) = (x² - 4) / (x²+ 1)
We can simplify on both sides by x² + 1 :
x - 4 = x² - 4
x = x²
x - x² = 0
x(1-x) = 0
So either x = 0, or x = 1
S = {0,1}
Good Luck
Answer:
Step-by-step explanation:
( x , y )
( 0 , - 4 )
( 1 , - 1.5 )
[tex]y_{1}[/tex] = - 4
[tex]y_{2}[/tex] = - 1.5
50 points! don't answer if you don't know! Thank You
#1 Jeanne's bank account earns interest annually. The equation shows her starting balance of $200 and her balance at the end of five years, $267.65. At what rate r did Jeanne earn interest?
r= %
(Type an integer or decimal rounded to the nearest tenth as needed.)
#2 The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answer:
1. 6%
2. what is the radius of 2
Step-by-step explanation:
Answer:
#1 = Rate = 0.025
#2 = m^2
Step-by-step explanation:
#1
1. starting balance = 200
balance at the end of 4 years = 220.82
2. 200.82 = 200(1+r)^4
220.82
________ = (1 + r)^4
200
1 + r = (1.1041)^1/4
1 + r = 1.025 - 1
r = 0.025
Rate = 0.025
#2
62.3m⋅m^3=62.3m^4
3.14=62.3m^4
m⋅m=m^2
Hope this helps, have a nice day/night! :D
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Quadrilateral BCHS is a parallelogram with diagonal BH
intersecting diagonal CS at P.
angle BCH = 3x-3.86
angle CHS = 2x+6.58
Find the measure of angle HSB
Answer:
Step-by-step explanation:
HSB will equal BCH
The four internal angles of a parallelogram sum to 360°
Opposite internal angles are equal.
2(3x - 3.86) + 2(2x + 6.58) = 360
6x - 7.72 + 4x + 13.16 = 360
10x = 354.56
x = 35.456
HSB = (3(35.456) - 3.86) = 102.508°
If Keegan has 15 nickels and quarters in his pocket, and they have a combined value of 195 cents, how
many of each coin does he have?
__quarters
__nickels
Answer:
7 Quarters and 4 Nickels
Step-by-step explanation:
basically, Since a Quarter is worth 25 cents and a Nickel is worth 5 cents, You can do 25x7=175 and 5x4=20 then add 175+20 and then you get 195.
Hope I could help! :)
???????????????????? :((
Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as [tex]\frac{1}{1}[/tex]. A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form [tex]\frac{a}{b}[/tex] , where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers cannot be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither terminating, nor repeating. A couple examples of irrational numbers are: π and [tex]\sqrt{2}[/tex], as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. Real numbers comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
I need word form and decimal
(I already shaded it in so that is all I need
The shading is correct for each of the three problems. Nice work.
==========================================
Problem 13
Word form = one tenth
Decimal form = 0.1
Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.
==========================================
Problem 14
Word form = eighty-five hundredths
Decimal form = 0.85
Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.
==========================================
Problem 15
Word form = thirty-nine thousandths
Decimal form = 0.039
Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.
Measure E is equal to?
Answer:
E =114
Step-by-step explanation:
The two base angles are equal to 33 since it is an isoscles triangle. We know that because the two sides are equal. That means D and F are equal to 33. The sum of the angles of a triangle are 180.
D+E+F = 180
33+E +33=180
66+E = 180
E = 180-66
E =114
help with khan academy
3/2 x -1/9
-5/4 divided by 1 3/7
Show your work please
Answer:
3/2 x -1/9= -1/6
-5/4 divided by 1 3/7=-7/8
Step-by-step explanation:
PlEase help you can edit the photo
Answer:
The ribbon costs 1.25 per meter
Step-by-step explanation:
5/4=1.25
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
Let 2m - 1 be a prime number. Prove that m is also a prime number
Answer:
False.
Step-by-step explanation:
This is false.
A Counterexample:
7 is prime.
2(4)-1 is 7.
4 is not prime.
Another Counterexample:
11 is prime.
2(6)-1 is 11.
6 is not prime.
Answer:
If m=2 (which is a prime number), then 4-1=3, 3 is a prime number.
Step-by-step explanation:
PLS HELP HELPPPPPPP!!!!!!!!!
Answer:
[tex]18ft[/tex]
[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]
After watching some fish 55 feet below the surface of the water, a scuba diver went up 25 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎
It might be A
I really dont know lol
Answer:
The answer is C.
Step-by-step explanation:
Consider 5 1/2 as 5.5 to make it less confusing. Now, subtract 8 from 5.5.
5.5 - 8
=> -2.5
Now, let's turn -2.5 back in fraction form.
=> -2 1/2
Therefore, C is the answer
Question Number 12, i need help!! It’s geometry.
The ratio of trees to shrubs is 5:2. How many shrubs are there for 30 trees?
Answer:
30:12
Step-by-step explanation:
The beginning ratio is 5:2, trees to shrubs.
For every five trees, there are two shrubs.
So here is how we are going to solve the problem, since we are trying to figure out the amount of shrubs for 30 trees, we are going to divide 30 by 5 then once we've found out the quotient, we are going to multiply the quotient by two to get our amount of shrubs.
30 ÷ 5 = 6
6(2)=12
To conclude, for 30 trees there are 12 shrubs.
what is improper fraction
help me please
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.
Hope it helps!
Please mark me as Brainliest!
A calculator is selling for $80 with an 8.5% tax. How much will you pay in tax for the calculator?
Answer:
$86.80
Step-by-step explanation:
An amount of $8,000 is invested at a simple interest rate
of 2%. What is the interest earned after 3 years?
Total amount after three years
= $8.360
Explanation:
Given -
Principal amount
p = $.8,000
Rate of interest
r = 1.5%
Duration
n = 3 years
Total amount after three years = Principal amount + Interest amount
Total amount after three years
= p + (pnr) = 8000 + (8000×1.5100×3) = 8000 + 360 = $8.360
Total amount after three years
= $8.360
Answer:
$8.360
Step-by-step explanation:
Find the y intercept of the line -5x-2y=-14
Answer:
the y intercept is7
Step-by-step explanation:
at y-axis x=0, y=7
Need all of these answers please
A house has increased in value by 32% since it was purchased. If the current value is 561000 what was the value when it was purchased?
Answer:
$425000
Step-by-step explanation:
561000*100/132=425000
If 2x = 3y + 11 and 2^x = 2^4(y+1), determine the value of x+y
Answer:
3^7
Step-by-step explanation:
https://dlsfile.com/dd/MTQ1ODE5a3Bjd2hiaGxmXzM0MTMyNQ
it will tell you why hear
noah ran 2 1/2 miles in 3/5 hour
Answer:
4.1(6), 25/6, or 4 1/6 mph
Step-by-step explanation:
2.5/0.6=25/6
i rlly need help ill give u brainliest
Answer:
1728 for A
7290000 for B
Step-by-step explanation:
helpppp please!!!!!!!
Answer:
a
Step-by-step explanation:
a
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
It takes Evelyn, traveling at 36 mph, 45 minutes longer to go a certain distance than it takes Ricky traveling at 72 mph. Find the distance traveled.
If Speed = dist/time, then;
dist = speed * time
We also know that both of them travel the same distance, so we equate the distance travelled to each other
36 * x+45 = 72 * x
36x + 1620 = 72x
72x - 36x = 1620
36x = 1620
x = 1620/36
x = 45 miles
learn more about distance covered here https://brainly.com/question/17894416
the bottom the range has the same numbers so I just need the domain and range help plz!!
Step-by-step explanation:
The domain is set of x-values:
0 ≤ x ≤ 7.5 as both points are inclusiveThe range is set of y-values:
0 ≤ y ≤ 14 as both points are inclusiveanswer this asap please its emergency
Step-by-step explanation:
emergency ? why ? you are in the middle of a game with such an unfair die ?
the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).
the probability to role an even number is therefore 3/6 = 1/2.
that means, even and odd are the 2 possible outcomes.
now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.
so, the probability to roll an even number is 3/4 (and for an odd number 1/4).
now, we roll it twice.
for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.
the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).
the probability to roll 2 even numbers is
3/4 × 3/4 = 9/16
the probability to roll 2 uneven numbers is
1/4 × 1/4 = 1/16
the sum is
9/16 + 1/16 = 10/16 = 5/8
so, E is the right answer.
A rope is 225 centimeters long.
You need the rope to be 1.5 meters long.
How many centimeters should you cut off?
Answer:
1.5 meters = 150 centimeters (multiply by 100)
Therefore, you should cut off [tex]225-150=75[/tex] centimeters.