Answer:
The value of k if the graph of f passes through the point (3/4,0) is [tex]\mathbf{k=-\frac{9}{4}}[/tex]
Step-by-step explanation:
We are given the function: [tex]f(x)=\frac{k}{x}+3[/tex] where k is constant.
We need to find k, if the graph of f passes through the point (3/4,0).
So, graph passes through point (3/4,0) we have x=3/4 and y =0
Putting value of x in given function we can find value of x
We have f(x)=0, and x= 3/4
[tex]f(x)=\frac{k}{x}+3\\0=\frac{k}{\frac{3}{4} }+3[/tex]
Using fraction rule: [tex]\frac{a}{\frac{b}{c} }=\frac{a.c}{b}[/tex]
[tex]0=\frac{4k}{3 }+3\\Taking \ LCM\\0=\frac{4k+9}{3}\\3*0=4k+9\\0=4k+9\\4k=-9\\k=\frac{-9}{4}[/tex]
So, The value of k if the graph of f passes through the point (3/4,0) is [tex]\mathbf{k=-\frac{9}{4}}[/tex]
3x-8<-2x+22
Show it with steps please.
Answer:
x < 6
Step-by-step explanation:
1. 3x+2x = 5x
2. 5x - 8 < 22
3. 22+ 8 =30
4. 5x < 30
5. 30/5 = 6
6. x < 6
Step-by-step explanation:
3x-8<-2x+22
3x+2x< 22+8
5x<30
Divide both sides by 5
x=30
What is (-i)16?
A. i
O B. 1
O C. -;
O D. -1
Two containers are mathematically similar. Their volumes are 54cm³ and 128cm³. The height of the smaller container is 4.5cm. Calculate the height of the larger container.
Answer:
the height of the larger container is 6 cm
Step-by-step explanation:
The computation of the height of the large container is shown below:
In the case when the factor of linear scale for two solid be k
So the factor of volume scale be k^3
Now the volume scale factor is
= 128 ÷ 54
= 64 ÷ 27
= (4 ÷ 3)^3
Now the height of the large container is
= 4.5 cm × 4 ÷ 3
= 6 cm
hence, the height of the larger container is 6 cm
Anybody know the answer
Answer:
8
Step-by-step explanation:
pytherogream triple or smth
17,15,8
225+64=289
Help Please! Im taking a math exam today!
Answer:
12²
Step-by-step explanation:
12 is the base
2 is the exponent
12 squared or 12 times 12 equals 144
Answer:
144 can be divided by 12
so 12 *12 =144
therefore 144 can be written as [tex]12^{2}[/tex]
Step-by-step explanation:
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
cost of each bottle of juice is $0.77
Step-by-step explanation:
Let the cost of 1 bottle be $x
multiplying both side by 3
then cost of 3 bottle will be 3*$x = $3x
given that
total cost of 3 bottles = $2.31
thus
3x = 2.31
dividing both side by 3
x = 2.31/3 = 0.77
Thus, cost of each bottle of juice is $0.77
Answer:
$0.77 for each bottle of juice
Step-by-step explanation:
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
So,
2.31/3 = 0.77
Thus, $0.77 for each bottle of juice
-TheUnknownScientist
Convert the decimal 0.75 to a percent.
Answer:
75%
Step-by-step explanation:
A swimmer dove below the surface of the ocean. After 2 minutes, she was 12 meters below the surface. At what rate was she diving? Which equation matches?
1. -12+x=2
2. 2+x=(-12)
3. -2x=(-12)
4. 2x=(-12)
Answer:
4. 2x=(-12)
Step-by-step explanation:
x is the number of meters below the surface per minute
2x is 2 minutes
-12 is 12 meters below the surface
5x³y+10xy²
I will mark brainlest
5x³y+10xy²
we can factorise
5xy(x^2+2y)
Use the distributive property to multiply (2 w + 7)(2 w - 7).
Answer:
[tex]4w^{2} -49[/tex]
Step-by-step explanation:
Expand (2w+7)(2w−7)
2w(2w-7)+7(2w-7)
2w(2w)+2w*-7+7(2w-7)
2w(2w)+2w*-7+7(2w)+7*-7
Find the solution for the system of linear equations by substitution:
y = x
y = 2x − 4
Answer:
Asi takhle
..........
The graph shows the number of Calories burned running. How many Calories do you burn per minute?
Simone has a collection of coins consisting of 1 quarter, 1 nickel and 1 penny. Using at least two coins from the collection, how many different sums of money are possible
Answer:
4 different sums
Step-by-step explanation:
There are two ways to form a sum: either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us our answer of [tex]$3+1=\boxed{4}$[/tex] .
Hope this helped! :)
The difference sum of money that should be possible is 4.
The following information should be considered:
There are two ways to form a sum i.e. either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us i.e.= 3 + 1
= 4
Learn more: brainly.com/question/16911495
Organize the lengths below from shortest to longest.
28 dm
629,000 mm
1.2 km
30,277 cm
Answer:
30,277cm, 629,000mm, 28dm, 1.2km
Step-by-step explanation:
I
3.) Write the equation of the line that passes through (0,3) and (1.-1) in standard form.
Given:
The points are (0,3) and (1,-1).
To find:
The equation of line passes through these points.
Solution:
Standard form of a line is
[tex]Ax+By=C[/tex]
We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (0,3) and (1,-1), so the equation of the line is
[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]
[tex]y-3=\dfrac{-4}{1}(x)[/tex]
[tex]y-3=-4x[/tex]
Adding 4x and 3 on both sides, we get
[tex]4x+y=3[/tex]
Therefore, the standard form of the line is [tex]4x+y=3[/tex].
Find the equation of the line.
Use exact numbers.
y =
x+
Answer: y= 2/3x+4
Step-by-step explanation:
hi, pls help me! :((
Answer:
the y-intercept is (0,4) because it's the point that's sitting on the y-axis (the one going up and down)
Step-by-step explanation:
In 2010, Carlos purchased a car whose value y, after x years is given by y = 6,750(0.82) What is the correct interpretation of 0.82 in this equation?
0
А
There will be an 18% decrease in y annually.
B
There will be an 82% decrease in y annually.
С
There will be an 18% increase in y annually.
D
There will be an 82% increase in y annually.
Answer: the correct answer is a.
Step-by-step explanation:
The graph below shows a system of equations:
The x-coordinate of the solution to the system of equations is
Answer:
solution is (-2, 2) so x-coordinate of solution is -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, we have to write down both equations.
y = x + 4
3y = -2x + 2
Now we already have an equation that we can plug into the other equation.
= 3(x + 4) = -2x + 2
= 3x + 12 = -2x + 2
= 5x + 12 = 2
= 5x = -10
x = -2
Now we know that x = -2, and the question asks for the x-coordinate, which is -2.
Which one can it , it be correct I’ll give brainlist
Answer:
i can't see the number clearly
ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank
Answer:
10^0=1 day
Step-by-step explanation:
10^4 x 100=10^4 x 10²
=10^(4+2)
=10^6
Then:
10^6/10^6=10^(6-6)=10^0=1 day
Answer:
1 day, 10^0
Step-by-step explanation:
PLATO correct
a) Ava made some money babysitting last week. She
made twice that this week, but spent $5 of it on a sno-
ball. Thus, she only has $75 left from this week. How
much money did she make from babysitting last week?
Equation
Solve and answer:
A band is paid $50 for performing at a restaurant. For each customer that eats at the restaurant, the band is paid $2. If the band made $142 in one night, how many customers ate at the
restaurant?
Answer:
There were 46 customers who ate at the restaurant.
Step-by-step explanation:
First we need to subtract the total by how much the ban was paid to perform.
$142 - $50 = $92
$92 ÷ 46 = $2
Simplify: 5 + 2(x + 3) - 8 + 4x +
Answer:
6x+3
Step-by-step explanation:
Help, I have to turn this in tomorrow I need to know if this is right.
Answer:
yes, that's correct!
Step-by-step explanation:
Jessica needs 233 feet of wood to build a fence the word comes in length of 11 feet how many pieces of wood should Jessica by Samuel needs twice as many feet as Jessica how many pieces of wood does Samuel need
Given :
Jessica needs 233 feet of wood to build a fence the word comes in length of 11 feet.[tex]N= 21\times 2[/tex]
To Find :
How many pieces of wood should Jessica by Samuel needs twice as many feet as Jessica how many pieces of wood does Samuel need.
Solution :
Total number of pieces of wood Jessica needs is :
[tex]n = \dfrac{233}{11}\\\\n = 21.18[/tex]
Since number of pieces cannot be negative.
So, n = 21
It is given that Samuel needs twice as many feet as Jessica need.
So,
N = 21 × 2 = 42
Therefore, Samuel needs 42 pieces of wood.
NEED HELP ASAP!!!! 2 QUESTIONS!!!!OFFERING BRAINIEST!!!
Answer:
(0, 8) on the first question and 4 on the second question
Need help thank you very
Answer:
a)4/3
b)9/20 or 0.45
c)96
Step-by-step explanation:
a) j=3
72=20j+9p
72=20(3)+9p
72=60+9p
-9p=60-72
-9p=-12
p=-12/-9
p=4/3
b) m =1/2
20k-5=8m
20k-5=8(1/2)
20k-5=4
20k=4+5
20k=9
k=9/20 or 0.45
c) k=18
p+1/3k-20=82
p+1/3(18)-20=82
p+6-20=82
p=82+20-6
p=96
idk if this is right but I tried my best heh-
7th grade math help me please :)))
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = [tex]\frac{3760}{7916}[/tex]
B = [tex]\frac{2301}{7916}[/tex]
C = [tex]\frac{1855}{7916}[/tex]
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets [tex]\frac{3760}{7916} \cdot 600 \approx 284.99[/tex].
Mrs. Baca's class gets [tex]\frac{2301}{7916} \cdot 600 \approx 174.41[/tex].
And Mr. Canyon's class gets [tex]\frac{1855}{7916} \cdot 600 \approx 140.60[/tex].
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
What is the equation of the line shown in the graph below