Answer:
(3x+1)/(x^2-6)
Step-by-step explanation:
f/g(x)=f(x)/g(x)=(3x+1)/(x^2-6)
A family is planning a vacation, traveling 300 miles from their house. If they plan to stop at parks to allow the children to play every two hours, how many parks will they visit before they reach their destination assuming they travel 60 mph?
I'm thinking 3 since they go to the park immediately to start the 2 hour period so
park 0hours 0miles park 2hr 120miles park 4h 240miles than for the rest of the 60 miles no park.
Answer:
im pretty sure its 2
Step-by-step explanation:
300/60 is 5 so that would be a 5 hr car ride and since there isnt a 6th hour i think it would be 2
Write the augmented matrix for the following system of equations.
2z = - 4y - 9x
0 = 4x + 6z + 2
2z = 2 + 3y
You are getting ready for your graduation party so you by eight cases of soda each case has 24 cans of soda and each can hold 12Fluid ounces. How many gallons of soda did you purchase
Answer:
18 gallons
Step-by-step explanation:
From the information given, first you have to find the amount of cans that were bought and the total amount of fluid ounces:
8 cases of soda*24 cans= 192 cans
1 can → 12 fluid ounces
192 cans → x
x= 2,304 fluid ounces
Now, you have to find the amount of gallons that you purchased considering that there are 128 fluid ounces in 1 gallon:
1 gallon → 128 fluid ounces
x ← 2,304 fluid ounces
x=(2,304*1)/128= 18 gallons
According to this, the answer is that you purchased 18 gallons.
Solve x2 - 2x + 1 = 0 by using factored form . What solutions do you get
Answer:
x=3.21 in fraction x=e+1/2
Step-by-step explanation:
Given the triangles below what congruence theorem would prove that the two triangles were congruent.
Clear parentheses and combine like terms:
Answer:
-3p - p²
Last option
Step-by-step explanation:
Step 1: Write out expression
2p - 7p² - 5p + 6p²
Step 2: Combine like terms (p²)
-p² + 2p - 5p
Step 3: Combine like terms (p)
-p² - 3p
Step 4: Rewrite
-3p - p²
What is the next term of the sequence? 19, 14, 9, 4, ___
Answer:
-1
-Step-by-step explanation:
is ✓4 + 5 rational or irrational
Answer: its rational since there is no irrational no in the denominator
Step-by-step explanation:
Given f(x) = 5x + 3, find f(5)
Answer:
Hey there!
f(x)=5x+3
f(5)=5(5)+3
f(5)=25+3
f(5)=28
Let me know if this helps :)
Answer:
f(5) =28
Step-by-step explanation:
[tex]f(x) = 5x + 3\\f(5) =?\\\\[/tex]
Substitute 5 for x in the given function
[tex]f(5) = 5(5) +3\\f(5) = 25+3\\f(5) =28[/tex]
A PHN is studying the rate of H1N1 in the community. If there are five cases of H1N1 in the community of 1,000 people, what is the prevalence rate?
Answer:
0.5%
Step-by-step explanation:
The prevalence rate shows the proportion of people that have a disease in a population and to be able to calculate it, you have to divide the number of people that have a disease by the population:
Prevalence rate=(5/1,000)*100
Prevalence rate=0.005*100
Prevalence rate=0.5%
According to this, the answer is that if there are five cases of H1N1 in the community of 1,000 people, the prevalence rate is 0.5%.
Transformations are specific type of function. What type of function are they?
Tanmayi wants to raise $175 for a school funraiser. She has raised $120 so far. How much more does she need to reach her goal? (unsolved equation)
Find the distance between (-8,-2) and (6,-1) round to the nearest hundredth
Answer:
14.04Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(6+8)^2+(-1+2)^2}=\sqrt{14^2+1^2}=\sqrt{197}=14.035668...\approx14.04[/tex]
The distance is 14.03.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A(x1,y1), and B(x2,y2).
Assume that 'd' is the distance between A and B.
d= √(x2 - x1)² + ( y2 - y1)²
Given coordinates:
(-8,-2) and (6,-1)
Using distance formula,
=√(6+8)² + ( -1 +2)²
=√14²+1²
=√196+1
=√197
= 14.0356
≈14.03
Learn more about distance formula here:
https://brainly.com/question/8283882
#SPJ2
If V is the midpoint of segment WX and X (-8,6) and Vis (-3,4) what are the coordinates of W?
The answer is W (2,2) because you multiply the coordinates of the midpoint by 2 and then get the coordinate of W
What are geometric proofs used for?
Answer:
Prove if certain shapes fit the criteria, and if they are congruent or not
Step-by-step explanation:
Geometric proofs prove if certain shapes are congruent, whether they are not. They can also prove if sides are equal when values are not given, if a certain shape fits certain criteria, and can prove the length of certain lines when the values are not given.
The area of a square field is 625 square meters. What is the perimeter of the field?
Area = side squared
625 = side squared
side = sqrt 625
side = 25 m
perimeter = 4 x side
perimeter = 100 m
Answer:
100 meters
Step-by-step explanation:
In order to calculate the perimeter, we must have the side length.
The area of a square can be found using the following formula.
[tex]a=s^2[/tex]
We know the area is 625 square meters. We can substitute 625 m² in for a.
[tex]625 m^2=s^2[/tex]
We want to find the side length, s. Therefore, we must isolate s. s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{625m^2}=\sqrt{s^2}[/tex]
[tex]\sqrt{625m^2}=s[/tex]
[tex]25 m=s[/tex]
The perimeter of the square can be found using the following formula.
[tex]p=4s[/tex]
We know the side length is 25 meters. We can substitute 25 m in for s.
[tex]p =4*25m[/tex]
Multiply.
[tex]p=100m[/tex]
The perimeter of the field is 100 meters.
Find the length of the segment. Round your answer to the nearest tenth.
Answer:
The length of the line segment: 5.8 units
Step-by-step explanation:
To find the length of a line segment, you must us the formula:
D=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. well, you must first identify your coordinates
Point A is (-2, -4) which is ([tex]x_1[/tex], [tex]y_1[/tex])
Point B is (1, 1) which is ([tex]x_2[/tex], [tex]y_2[/tex])
2. Now you put these coordinates into your equation
D=[tex]\sqrt{(1--2)^2+(1--4)^2}[/tex]
Ofc, you gotta keep in mind of any double negatives
D=[tex]\sqrt{(1+2)^2+(1+4)^2}[/tex]
3. simplify
D=[tex]\sqrt{(3)^2+(5)^2}[/tex]
D=[tex]\sqrt{9+25}[/tex]
D=[tex]\sqrt{34}[/tex]
The square root of 34 is 5.83095189.... in decimal form
4. Round it to the nearest tenth
5.83 and since 3 is lower than five, it does nothing
5.8= The length of your line segment!
The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0), C(2) and C(4)
Answer:
Step-by-step explanation:
Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).
For C(0), we are to substitute x = 0 into the given function;
C(0) = 0²+78(0)+29
C(0) = 0+0+29
C(0) = 29
Since the cost C(x) is in hundreds of dollars, C(0) = 2900
C(0) means that the cost of producing 0 thousand pen is $2,900
For C(2), we are to substitute x = 2 into the given function;
C(2) = 2²+78(2)+29
C(2) = 4+156+29
C(2) = 189
Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900
C(2) means that the cost of producing 2 thousand pens is $18,900
For C(4), we are to substitute x = 4 into the given function;
C(4) = 4²+78(4)+29
C(4) = 16+312+29
C(4) = 357
Since the cost C(4) is in hundreds of dollars, C(4) = 357
C(4) means that the cost of producing 4 thousand pens is $35,700
please help me I'm confused :((
The points E(5, 12), F(-1, 8) and G(2, k) are located
straight line. Find the value of k.
please give me the solving steps
Answer:
k = 10Step-by-step explanation:
Use the first two points to get a formula of the line E(5, 12), F(-1, 8)
y = mx + b is the slope-intercept formulam is found using two points as:
m = (y₂ - y₁)/(x₂ - x₁) m = (8 - 12)/(-1 -5) = -4/-6 = 2/3The formula becomes:
y = 2/3x + bThen we find the value of b using one of the points. Let's use point E(5, 12)
12 = 2/3*5 + b12 = 10/3 + bb = 12 - 10/3 = 26/3So the formula now is:
y = 2/3x + 26/3To find the missing coordinate we substitute x with 2 and y with k:
k = 2/3*2 + 26/3 = 4/3 + 26/3 = 30/3= 10k = 10Answer:
k = 10
Hope it helped:D
Help me out don’t really get this stuff that much
Answer:
19
Step-by-step explanation:
Answer:
19 birds
Step-by-step explanation:
a flock of 9 geese=19
10+19=19 birds
11,20,29, Find the 30th term.
Answer:
372
There are already 3 terms. So, now you have to find the 30th term.
The difference of 30 - 3 is 27. Now, since you add 9 for every term, multiply it by 27.
27 x 9 = 243.
The third term is 29. So you add 29.
Your answer will be 372. Hope it helps.
Which of the following numbers is a composite number?
A. 13
B. 31
C. 49
D. 67
Answer:
Step-by-step explanation:
a composite number is a whole number with three or more factors.
C is the correct answer
Answer:
c
Step-by-step explanation:
A 6-cup bottle of fabric softener costs $2.40. What is the price per fluid ounce?
Answer:
78
Step-by-step explanation:
Answer:
0.05¢ per fl oz
Step-by-step explanation:
1. You are going to 6 cups to fl oz.
2. 6 cups is equal to 48 fluid ounces.
3. Then i did a guessing game from there. .20 was to much per fl oz. .10 was too much. .05 was just right
if T is the midpoint of SU find the values of x and ST .
Answer:
B
Step-by-step explanation:
Since T is at the midpoint of SU, then
ST = TU , substitute values
8x = 3x + 20 ( subtract 3x from both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Thus
ST = 8x = 8(4) = 32
Is it possible to have the same output (y) for two different inputs (x) in any solution set? For example: (2,9), (6,9). How do you know? Write your answer and explanation on the back on this paper.
Answer:
Yes
Step-by-step explanation:
Yes it is possible to get the same output by providing two different inputs in a solution.
For example :
Let a function, [tex]$y = x^2 $[/tex] ......(1)
Case 1
let x = -2, putting the value of x in equation (1), we get
[tex]$y = x^2 $[/tex]
[tex]$y = (-2)^2 $[/tex]
= 4
Case 2
let x = 2, putting the value of x in equation (1), we get
[tex]$y = x^2 $[/tex]
[tex]$y = 2^2 $[/tex]
= 4
Therefore, for both the different input (x), we get the same output (y).
Which proportion can be used to show the slope of JL is equal to the slope of Mp?
Answer:
See below
Step-by-step explanation:
As per the graph we have:
Coordinates of JL are J(-7, 4), L(-4, 0)Coordinates of MP are M(-10, 8), P(-1, -4)Slope formula is:
m = (y₂ - y₁)/(x₂ - x₁)Slope of JL:
(0 - 4)/(-4-(-7)) = - 4 / 3Slope of MP:
(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3Answer:c
Step-by-step explanation:
What is the unit price of a 6 ounce tube of toothpaste that costs $3.75?
Answer:
$0.62
Step-by-step explanation:
Step 1:
$3.75 ÷ 6 = $0.62
Answer:
$0.62
Hope This Helps :)
Answer:
0.625
Step-by-step explanation:
Divide the cost by the amount (3.75÷6)
3.75÷6= 0.625
4.44 x 4 = please my sister needs it
Answer:
17.76
Step-by-step explanation:
0.44 x 4 = 1.76
4 x 4 = 16
16+1.76=17.76
Which of the following is not found in an expression:
-
+
X
=
Answer:
=
Step-by-step explanation:
In an expression, its not the whole thing. EX: (2x + 3)
Thats an expression
Sue's meal cost $35. If she left a tip that was 15% of her bill, how much was the tip? *Plz explain your answer*
Answer:
$5.25
Step-by-step explanation:
To find the percentage of something, we can simply multiply it by its decimal equivalent. 15% means that it is 15/100 of the bill, because percent is out of 100, and 100% of it, is just the original ($35). To convert to a decimal we divide 15 by 100, which gives u: 0.15
It is still 15%, it is just now out of 1.
1 is 100%, which makes sense because 35x1=35
So, to find %15, we can do 35x0.15=5.25
Sue left a tip of $5.25
Alternatively, (but ultimately the same method), you can start by dividing 35 by 100 to get 1%. 35/100=0.35, 0.35 is 1% of 0.35
And then just multiply that 1% by 15 to get 15%
0.35 (the 1%) x 15 = 5.25 (15%)
Hope this helped!
Feel free to ask any other questions :)