Answer: 1/9
Step-by-step explanation:
What are the equations of the asymptotes of the graph of the function f (x) = StartFraction 3 x squared minus 2 x minus 1 Over x squared + 3 x minus 10 EndFraction?
Answer:
A on E2020 (x = -5, x = 2, y = 3)
Step-by-step explanation:
By looking at the equation, we know that the horizontal asymptote can be found by using [tex]y=\frac{a}{b}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the leading coefficients of the variables in the numerator and denominator.
In the equation, [tex]a=3[/tex] and [tex]b=1[/tex]. So, the horizontal asymptote is 3, meaning [tex]y=3[/tex].
To find the vertical asymptotes, we must simplify the denominator by factoring. We will then get [tex](x+5)(x-2)[/tex] in the denominator. So, [tex]x=-5[/tex] and [tex]x=2[/tex].
Therefore, the answer is option A.
Answer:
A Edge 2021
I got 100%
Draw a rectangle that has the area of 56 sq.cm.
Answer:
draw an 8 x 7 rectangle
Step-by-step explanation:
note that
area of rectangle = length x width.
we also know that 56 = 8 x 7
hence you simply need to draw a rectangle and label the long side "8 cm" and the short side "7 cm"
what 2 numbers multiply to get -120 and add to get -14
Answer:
-20 and 6
Step-by-step explanation:
-20 x 6 = -120
and if you add -20 and 6, you get -14.
if I have a 100 gallon water tank and use 5 gallons per minute while feeding it 2.5 gallons per minute will that tank run out of water
Name the restrictions on x then solve showing your steps
2/x-3=5/x
Answer:
x=5
Step-by-step explanation:
The given equation is [tex]\frac{2}{x-3}=\frac{5}{x}[/tex]
The denominator is never equal to zero.
Therefore [tex]x-3\ne0[/tex] or [tex]x\ne 0[/tex]
[tex]x\ne3[/tex] or [tex]x\ne 0[/tex]
Let us now cross multiply to get:
[tex]2x=5(x-3)[/tex]
Expand to get:
[tex]2x=5x-15[/tex]
Group similar terms to get:
[tex]5x-2x=15[/tex]
[tex]3x=15[/tex]
[tex]x=5[/tex]
After every score in a sample is multiplied by 5, the mean is found to be M = 40. What was the value for the original mean?
Answer:
M=8
Step-by-step explanation:
We have that every score in a sample is multiplied by 5, and the mean is found to be M = 40.
We want to find the original mean.
Since each of the data value is multiplied by 5, the new mean will be 5 times the original mean.
To get the original mean, we need to divide by 5;
Therefore the original mean is [tex]\frac{40}{5}=8[/tex]
To find the original mean, divide the new mean by the multiplying factor.
Explanation:To find the original mean, we need to undo the multiplication by dividing the new mean by the multiplying factor. Since every score was multiplied by 5, we divide the new mean by 5 to get the original mean.
Original Mean = New Mean / Multiplying factor
Original Mean = 40 / 5
Original Mean = 8
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3(x-6)+(4x+12)-6x simplify
Answer:
x-6
Step-by-step explanation:
Answer:
x - 30
Step-by-step explanation:
[tex]3(x - 6) + (4x + 12) - 6x \\ 3x - 18 + 4x + 12 - 6x \\ 3x + 4x - 6x - 18 - 12 \\ x - 30[/tex]
san
R
APOR is a right triangle. IF RO = 8, what is PO?
mios
16
Answer:
PQ = 16
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos60° = [tex]\frac{1}{2}[/tex], then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RQ}{PQ}[/tex] = [tex]\frac{8}{PQ}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
PQ = 8 × 2 = 16
Fill in the blank so that the ordered pair is a solution of y=12x+2.
(
, 14)
Answer:
x=1
Step-by-step explanation:
14=12x+2
subtract 2 from both sides
12=12x
divide both sides by 12 and you get x=1
If 12 horses eat 96 bales of hay per week, how many 18 horses eat in a week.
Answer:
144
Step-by-step explanation:
If 12 horses eat 96 bales of hay per week
Than one horse eats 96÷12 bales of hay per week
One horse eats 8 bales of hay per week
Than 18 horses will eat 8 × 18 bales of hay per week
18 horses will eat 144 bales of hay per week
calculate the length of the circumference of a circle with a radius of 3cm
Answer:
[tex]6\pi[/tex]
Step-by-step explanation:
use the formula [tex]C=2\pi r[/tex]
r = radius
plug in numbers into the equation to get
[tex]2\pi (3)[/tex] which equals [tex]6\pi[/tex]
Answer:
The answer was 9.42 units
Step-by-step explanation:
Marc was born on his grandmother’s 56th birthday. In how many years will Marcs grandmother be 5 times as Marc will be then?
Answer:
Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.
Step-by-step explanation:
Given, Marc was born on his grandmother's 56th birthday.
Let , x year will Marc's grandmother be 5 times as Marc will be then.
At that time the age of Marc will be = (x-56) year
According to the problem,
x= 5(x-56)
⇔x = 5x - 280
⇔x-5x= -280
⇔-4x=-280
⇔x=70
Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.
List the next four multiples of the unit fraction 1/2 4th grade
Step-by-step explanation:
We have:
The unit fraction = [tex]\dfrac{1}{2}[/tex]
To find, the next four multiples of the unit fraction [tex]\dfrac{1}{2}[/tex] = ?
∴ The next four multiples of the unit fraction [tex]\dfrac{1}{2}[/tex]
The first multiple = [tex]\dfrac{1}{2}\times 2= \dfrac{2}{2} =1[/tex]
The second multiple = [tex]\dfrac{1}{2}\times 3= \dfrac{3}{2}[/tex]
The third multiple = [tex]\dfrac{1}{2}\times 4= \dfrac{4}{2} =2[/tex]
The fourth multiple = [tex]\dfrac{1}{2}\times 5= \dfrac{5}{2}[/tex]
∴ The next four multiples of the unit fraction [tex]\dfrac{1}{2}[/tex] are
[tex]\dfrac{2}{2}[/tex] ( 1), [tex]\dfrac{3}{2}[/tex], [tex]\dfrac{4}{2}[/tex] (2) and [tex]\dfrac{5}{2}[/tex].
The first four multiples: [tex]\frac{1}{2}, 1, \frac{3}{2}, 2[/tex]. A multiple of a fraction is found by multiplying that fraction by whole numbers.
To find the next four multiples of the unit fraction [tex]\frac{1}{2}[/tex], we can begin by understanding what a multiple of a fraction means.
Let's calculate the first four multiples of [tex]\frac{1}{2}[/tex]:
First multiple: [tex]1 \times \frac{1}{2} = \frac{1}{2}[/tex]
Second multiple: [tex]2 \times \frac{1}{2} = \frac{2}{2} = 1[/tex]
Third multiple: [tex]3 \times \frac{1}{2} = \frac{3}{2}[/tex]
Fourth multiple: [tex]4 \times \frac{1}{2} = \frac{4}{2} = 2[/tex]
PLEASE HELP I HAVE NO IDEA IM GONNA FAIL
Yo sup??
Dude chill....u will pass for sure :)
SA of composite figure=sum of SA of individual faces
=SA of 2 triangles+SA of rectangle 1+SA of lower cuboid
=2*1/2*8*10+2*9*14+3*10*14+2*10*10
=80+252+420+200
=952 ft^2
Hope this helps.
if 3x > or = 2x+5 then what is 3x-10 > or = 2x -__
To save time, you dont need to write "> or ="
You can simply write ">=" without the quotes.
So 3x >= 10 means "3x is greater than or equal to 10"
-----------------------------------
we start with 3x >= 2x+5
we want 3x-10 on the left hand side. We already have a 3x. So if we stick a -10 on the left side, we need to do the same thing to the right side to balance things out. We can subtract 10 from both sides to do this
3x >= 2x+5
3x-10 >= 2x+5-10 ... subtract 10 from both sides
3x-10 >= 2x-5
So it looks like a 5 will go in the blank because the negative portion is already taken care of.
Answer:
The answer is 10
Step-by-step explanation:
(-6,5) and (4,-1) equation
Answer:
[tex]y=-\frac{3}{5}x+\frac{7}{5}[/tex]
Step-by-step explanation:
The correct question is
Write an equation for the line passing through (-6,5) and (4,-1)
step 1
Find the slope
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-6,5) and (4,-1)
substitute
[tex]m=\frac{-1-5}{4+6}[/tex]
[tex]m=\frac{-6}{10}[/tex]
[tex]m=-\frac{3}{5}[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{3}{5}[/tex]
[tex]point\ (-6,5)[/tex]
substitute
[tex]y-5=-\frac{3}{5}(x+6)[/tex]
step 3
Convert to slope intercept form
[tex]y=mx+b[/tex]
Isolate the variable y
[tex]y-5=-\frac{3}{5}x-\frac{18}{5}[/tex]
[tex]y=-\frac{3}{5}x-\frac{18}{5}+5[/tex]
[tex]y=-\frac{3}{5}x+\frac{7}{5}[/tex]
Choose the graph that matches the situation.
Answer:
1. A 2.A
Step-by-step explanation:
A for number 1 shows how the level of the pot slowly increases as things are added, while cooking the level stays consistent then as one dish is served it decreases a level then stays a bit and keeps repeating that.
A for number 2 shows how the bus speeds up then stays a consistent 25 mph and slows down for two stops then speeds up and stays 25 mph.
Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
y = one-fifth x squared + six-fifths x + eleven-tenths
y = 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Negative 5 y minus 4 = negative (x + 3) squared minus one-half
y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Answer:
The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Step-by-step explanation:
the given equation is [tex]5y + 4 =(x+3)^{2} + \frac{1}{2}[/tex]
Therefore we can write [tex]5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}[/tex]
To find the inverse of the above function let us replace x with y and y with x.
Therefore we get
[tex]x = \frac{(y+3)^{2}}{5} - \frac{7}{10}[/tex]
Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function
[tex]y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}[/tex]
Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , [tex]y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}[/tex]
Answer:
y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Step-by-step explanation:
For which pairs of functions is (f•g)(x)=x of functions is (f•g)(x)=x
Answer:
Option A
Step-by-step explanation:
The complete question is shown in the attachment.
Note that: [tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]
We need to multiply all the functions to see which of them satisfy the given criteria.
Option A
[tex]x^2\cdot \frac{1}{x} =\frac{x^2}{x}=x[/tex]
Option B
[tex]\frac{2}{x} \cdot \frac{2}{c} =\frac{4}{cx}[/tex]
Option C
[tex]\frac{x-2}{3} \cdot 2-3x =\frac{-3x^2+8x-4}{3}[/tex]
Option D
[tex]\frac{1}{2x-2} \cdot \frac{1}{2x+2} =\frac{1}{4(x^2-1)}[/tex]
The correct choice is A
what is the inequality for 5(x+3)−8<17
Answer:
x< 2
Step-by-step explanation:
We are given the inequality;
5(x+3)−8<17
First we take 8 to the other side;
5(x+3)<17 + 8, notice the sign changes like with an equation
Opening the brackets;
5x + 15 < 25
We then take 15 to the other side;
5x < 25 -15
5x < 10
x < 2
Thus, the solution of the inequality is x< 2
Jason and his family travel 160 miles in 3.2 hours. If they continue at this constant speed, how long will it take them to travel 300 miles? Complete the table
It will take them 6 hours to travel 300 miles. How I got my answer: 160 divided by 3.2 = 50 miles per hour, 300 divided by 50 = 6 hours. Hope I could help! :D
Answer:
t = 6hrs
Step-by-step explanation:
Speed = distance/time
Speed at 160miles in 3.2hrs will be = 160/3.2= 50
At the constant speed of 50, time taken to travel 300miles
Is speed = distance / time
50 =300/t
Cross multiply
50t =300
Divide both sides by 50
t = 300/50
t = 6hrs
a baseball has a diameter of 3 inches.Calculate the volume
Answer:
14.14 in3
Step-by-step explanation:
The walking track at one fitness center is a 2/5 mile loop. If Kara walks around the track 8 1/2 times, how many miles does Kara walk? A 3 2/5 miles B 4/85 miles C 8 9/10 miles D 21 1/4 miles
Kara walks A. 3 2/5 miles
Step-by-step explanation:
Step 1; We must calculate how much 2/5 miles is. 2/5 miles equals 0.40 miles. Kara walks this distance times 8 1/2. 8 1/2 times equals 8.5 times. So the distance she walked is the number of loops walked × distance of each loop.
Total distance walked = Number of loops walked × distance of each loop
= 8.5 loops × 0.20 miles = 3.4 miles
Step 2; In order to check which option this is, we must know what values all the given options are equal to
A. 3 2/5 miles equals 3 miles + 2/5 miles = 3 + 0.20 = 3.20 miles.
B 4/85 miles equals 0.047 miles which is lesser than one loops distance.
C. 8 9/10 miles equals 8 miles + 9/10 miles = 8 + 0.90 = 8.90 miles
D. 21 1/4 miles equals 21 miles + 1/4 miles = 21 + 0.25 = 21.25 miles.
So the answer is option A.
Nine times a number y subtracted from 95 equals 37
Answer:
y = 6.44
Step-by-step explanation:
"nine times number y" : 9y
"subtracted from 95" : (95 - 9y)
"equals 37" : (95 - 9y) = 37
solving for y
95 - 9y = 37 (subtract 95 from both sides)
-9y = 37 - 95
-9y = -58 (divide both sides by -9)
y = -58/ -9
y = 6.44
The required algebraic expression that is nine times a number y subtracted from 95 equals 37. is 95 - 9y = 37.
Given that,
To determine the algebraic expression for nine times a number y subtracted from 95 equals 37.
The algebraic expression consists of constant and variable. eg x, y, z etc.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The number be y
Nine-time of y = 9y
Subtraction of 9y from 95 is equal to 37,
95 - 9y = 37
Thus, the required algebraic expression that is nine times a number y subtracted from 95 equals 37. is 95 - 9y = 37.
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The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?
Perimeter of the triangle is 30.75 inches.
Step-by-step explanation:
Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 inStep 2: Formula for perimeter of triangle = length of sides of the triangleStep 3: Substitute in the formulaPerimeter = 11.25 + 9.25 + 10.25
= 30.75 inches
what is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter
Answer: [tex]25.5 m^{3}[/tex]
Step-by-step explanation:
If the volume of a sphere is
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where [tex]r=2.3 m[/tex] is the radius
The volume of a hemisphere is half the volume of the total sphere:
[tex]V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}[/tex]
[tex]V_{hemisphere}=\frac{2}{3} \pi r^{3}[/tex]
Solving this equation:
[tex]V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}[/tex]
Finally:
[tex]V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}[/tex]
The volume is approximately 12.8 cubic meters.
To find the volume of a hemisphere, we can use the formula for the volume of a sphere and then take half of that volume.
The formula for the volume of a sphere is:
V = (4/3)πr³
Since we only need the volume of a hemisphere, we'll divide by 2:
V = (1/2) * (4/3)πr³
Given the radius (r) is 2.3 meters, we substitute the value into the formula:
V = (1/2) * (4/3)π (2.3)³
First, calculate the cube of the radius:
2.33 = 2.3 * 2.3 * 2.3 = 12.167
Next, plug this back into the formula:
V = (1/2) * (4/3)π * 12.167
Then, calculate the constant part of this equation:
(4/3)π ≈ 4.18879
So:
V = (1/2) * 4.18879 * 12.167 = 25.5288
Finally, divide by 2:
V ≈ 12.7644
Rounding to the nearest tenth, the volume of the hemisphere is 12.8 cubic meters.
Two parallel lines are crossed by a transversal.
What is the value of x?
Answer:
x = 115°
Step-by-step explanation:
A bookcase has two shelves. The top shelf has 10 more than 1/3 the number of books on the bottom shelf. There are 12 books on the bottom shelf. How many books are on the top shelf?
a.4
b.14
c.40
d.46
Show your work below!!!
Answer: b.14
Step-by-step explanation:
We have two shelves, the top shelf [tex]s_{t}[/tex] and the bottom shelf [tex]s_{b}[/tex].
Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:
[tex]s_{t}=10+\frac{1}{3}s_{b}[/tex] (1)
Then, we are told there are 12 books on the bottom shelf:
[tex]s_{b}=12[/tex] (2)
Substituting (2) in (1):
[tex]s_{t}=10+\frac{1}{3}(12)[/tex] (3)
[tex]s_{t}=10+\frac{12}{3}[/tex] (4)
[tex]s_{t}=14[/tex] (5) This is the number of books on the top shelf
Hence, the correct option is b.
What is the slope of the line?
Answer:
(-5,4) (6,-2)
(-2-4)/(6+5)= -6/11
Answer:
-3/5
Step-by-step explanation:
The retail price of a product is $77.30 per square metre. Trade price is retail less 12.5%. Calculate the trade price of 5.35m of the product.
(Answer should be in $ pls)
Answer: $1935.56
Step-by-step explanation:
T.P=R.P-(12% of R.P)
R.P=$77.30 per 1m²
When m =5.35, m²=5.35²=28.6225
R.P= $(77.30×28.6225)
R.P=$2212.52
12.5% of R.P=0.125×$2212.52=$276.565
Therefore,
T.P = $2212.52-$276.565 = $1935.96
Note: T.P is Trade Price and R.P is Retail Price.
Hope this helps?