Answer:
f(x)=-5/9x+46/9
Step-by-step explanation:
Find the coordinates:(2,4)(-7,9)
Find the slope:
m=-5/9
Find the y-intercept:
b=46/9 (or 5 1/9)
Put it together:
You get f(x)=-5/9x+46/9
which is equivalent to √3/√8 when denominator is "rationalized"?
Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
What is the value of x?
Answer:
x=71
Step-by-step explanation:
38+x+x=180
x+x=142
2x=142
x=71
Complete the table below for the function y 3.2 0. 0 1 2 3
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
how to factor this completely?
25v3 - 40v2 + 35v – 56
Answer:
Factor 25v3−40v2+35v−56
25v3−40v2+35v−56
=(5v−8)(5v2+7)
Answer:
(5v−8)(5v2+7)
The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11
1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?
Answer:.
Step-by-step explanation:
a restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive . The cost of making burritos is negative. Profit is the money left after paying the cost.
How much profit would the restaurant make by selling 100 burritos?
1. How much money would the restaurant take in by selling 100 burritos?
Answer:
$550
Step-by-step explanation:
Answer:
The restaurant would take in $550 by selling 100 burritos
Step-by-step explanation:
First, we need to add all the expenses together and multiply by 100
1.50 + 1.00 = 2.50
2.50 x 100= 250
We know that the restaurant would charge $800 in total for the 100 burritos so now we subtract what it costs to make them.
800 - 250 = 550
Our final answer would be $550
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Answer:
r = -6 cos(θ)
Step-by-step explanation:
got it right on edge
The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).
What is the polar form?The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.
To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:
(x + 3)² + y² = (x² + 6x + 9) + y² = 9
Then we can express x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
Substituting these values into the equation and simplifying:
r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9
r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0
r² + 6r cos(θ) = 0
r(r + 6cos(θ)) = 0
Since r ≠ 0
So, the polar form of the equation is:
r = -6cos(θ)
Thus, the correct answer would be an option (A).
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A spinner has five sections ( a,b,c,d,e,) the spinner is spun 84 times what is the experimental property landing on a round to the nearest percent
Answer:
17%
Step-by-step explanation:
Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
A:2500
B:5000
C:4500
Find the slope of the line that passes through the points (2,-4) and (6,12)
Answer:
m=4
Step-by-step explanation:
A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds. What is the scuba divers rate of change?
Answer:
1 foot = 0.7 secs
Step-by-step explanation:
14 seconds divided by 20 feet = 0.7 seconds per foot descended.
Hope this helps and good luck :)
Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.
fill in the blanks
y =__ x + __
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.
We are holding a 1k walk to raise money for walk across America. This organization provides shoes to people in need. It will be held at Millennium Park. It will cost us $250 to rent the park for the day. Each person will get a t-shirt and snacks, which cost us $10 per person. We plan to Charge $20 per person to participate. Assume y is the cost, and x is the number of people. Which two equations represent this situation? y = 10x + 250 y = 10x – 250 y = 20x y = 20x Option 2 Option 4 y = 20x + 250 y = 10x + 20 y = 10x V = 250x
Answer:
The equations y=10x+250 and y=20x represent the situation.
Step-by-step explanation:
Given that:
Cost to rent the park = $250
Cost per person for t-shirt and snack = $10
Cost of participation = $20
y = cost
x = number of people
Cost for the organization;
y = 10x + 250
Amount generated from people's participation
y = 20x
Hence,
The equations y=10x+250 and y=20x represent the situation.
Find the inverse function of f(x)=−32x+4
(Hint: f(x) is the same thing as y. Swap your x and y then get in slope-intercept form (y= form))
f−1(x)=____x+____=____
Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
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A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?
Answer:
60 in or 5 FT
Step-by-step explanation:
6 x 10 = 60 in
:D
3n +15 for n =4
what is the answer
Answer:
the correct answer would be 27
Step-by-step explanation:
So first things first you need to replace n with 4
3n+15
(3)(4)+15
=12+15
=27
Hope this helps have an amazing day!!
Answer: 27
Step-by-step explanation:
-We would need to substitute the value of the variable into the equation and simplify.
-We will be plugging in 4 for n.
Step 1: Plugging in.
3 * 4 = 12
Step 2: Addition.
12 + 15
Final Answer: 27
please solve for t this is very important
How many baby's does it take to paint a wall
Answer:
12 I think?
Step-by-step explanation:
The answer to the famous joke is "It depends on how hard you throw them." It's important to note that this joke is dark humor and can be considered offensive or inappropriate.
It plays on a shocking and insensitive idea, which is why it's not suitable for all audiences. Jokes like this should be used with extreme caution, as they can cause discomfort or distress to others.
Humor should be inclusive and respectful of everyone's feelings and sensitivities. While jokes can be a form of entertainment, it's essential to choose them wisely and be mindful of their potential impact on others. In most social settings, it's best to avoid jokes that involve sensitive subjects or potentially harmful content.
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------------The given question is incomplete, the complete question is:
"What is the answer to the famous joke, "How many babies does it take to paint a wall?"---------------
There are three times as many girls as boys in a school .Find an expression in term of x for the total number of student in school ,where x represent the number of boys in the school
Answer:
Total number of students = 4x
Step-by-step explanation:
Let the number of boys be x
Since, no of girls = 3 times the no of boys
So, number of girls = 3x
Total number of students = no of boys + no of girls
Total number of students = x + 3x
Total number of students = 4x
Answer:
The total number of students is 4x
Step-by-step explanation:
Hope this helped have an amazing day!
Solve using the quadratic formula x^2-12x+5=0
Answer:
x=6+[tex]\sqrt{x}[/tex]31
2x + 3 = x -4
what is the answer
Answer:
Step 1: Subtract x from both sides.
2x+3−x=x−4−x
x+3=−4
Step 2: Subtract 3 from both sides.
x+3−3=−4−3
x=−7
Answer:
x=−7
You are shopping for bicycles. You have saved $97 and you can save an extra $20 per week. How
many more weeks do you need to spend saving money if the type of bicycle you want costs at
least $185?
(b) Define your variables
(b) Write and inequality and solve
Answer:
multiple choice?
Step-by-step explanation:
2. Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks, and 1 pair of white
socks. If she picks a pair at random, what is the probability she will pick a green pair?
Help!
AnsweGreen socks
Step-by-step explanation: the is more green socks then black and even if she put in the green socks first the is a 90% chance of getting a black sock.
Answer:
1/10
Step-by-step explanation:
ok byeeee
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answer: m
one set of ordered pair
b
(In that order)
Step-by-step explanation: Took the test just now, your welcome.
can someone help me on this plz and thanks
Answer:
- 7/4
Step-by-step explanation:
y1 - y2 over x1 - x2 with the points (-3,4) and (1,-3)
-3 - 4 over 1 - (-3) --> -7/ 4
Answer:
-5/3
Step-by-step explanation:
well taking the line that hits a cross, go down how many until it meets up with another perpendicular cross, and since you write it as rise/run, you run down 5 and go over 3, and since its decreasing, it is a negative
I need help with the question in the attached image.
Answer:
Third choice
Step-by-step explanation:
We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6
Brainlyp pls!