Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.
[tex]\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}[/tex]
Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.
[tex]y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b[/tex]
Step 3: Put it all together.
[tex]y = -\frac{2}{3}x + 4[/tex]
y varies inversely as x . If x = 4 then y = 9. Find y when x = 3.
Anyone help?
Answer:
12
Step-by-step explanation:
Given, x and y are inversely proportional.
So, the equation is xy=k, where k is the constant of proportionality
x=4, y=9. plug in the values to find k.
k=4*9 = 36
When x=3, y = k/x =36/3 = 12
y=12, when x=3
The sum of a numerator and denominator of a fraction is 18. If the denominator increased by 2, the fraction reduces to 1/3. Find the fraction.
Sum of the numerator and denominator = 18
If the denominator is increased by 2 , the fraction reduces to 1/3.
Find:the fraction
Solution:Let the fraction be x/y.
⟹ x + y = 18
⟹ x = 18 - y -- equation (1)
And,
If the denominator is increased by 2 , the fraction reduces to 1/3.
⟹ x/y + 2 = 1/3
⟹ 3x = y + 2
Substitute the value of x from equation (1).
⟹ 3(18 - y) = y + 2
⟹ 54 - 3y = y + 2
⟹ 54 - 2 = y + 3y
⟹ 52 = 4y
⟹ 52/4 = y
⟹ 13 = y
Substitute the value of y in equation (1).
⟹ x = 18 - 13
⟹ x = 5
Therefore, the required fraction x/y is 5/13.
I hope it will help you.
Regards.
Answer:
Length is twice the breadth.
→ Length = 2 * x = 2x m.
Also,
Perimeter of the field = 150 m.
We know that,
Perimeter of a rectangle = 2(length + breadth).
Hence,
→ 150 = 2(x + 2x)
→ 150 = 2 * 3x
→ x = 150/2 * 3
→ x = 25
Step-by-step explanation:
As you ride a Ferris wheel, your distance from the ground varies sinusoidally with
time. You enter the Ferris wheel from the bottom, which is 8 feet from the ground.
The Ferris wheel has a diameter of 60 feet and makes a full revolution every minute.
What is your height above the ground at t = 20 seconds?
a) 46 ft b) 47 ft c) 53 ft d) 54 ft
Answer:
i think it would be b/47
Step-by-step explanation:
If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate the average stopping distance of all Model A tires with a 94% confidence interval.
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The estimate of the average stopping distance of all model A tires with a 94% confidence interval is
[tex]132.94 < \mu < 144.86[/tex]
Step-by-step explanation:
From the question we see that
The sample size is n = 8
The population standard deviation is [tex]\sigma = 6.7[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{ 145 + 152 + \cdots + 133}{8}[/tex]
=> [tex]\= x = 138.9[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.04[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 8 - 1[/tex]
=> [tex]df = 7[/tex]
Because the n < 30 we will making use of the t table
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 7[/tex] is
[tex]t_{\frac{\alpha }{2}, 7 } = 2.517 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.517 * \frac{6.7 }{\sqrt{8} }[/tex]
=> [tex]E =5.96 [/tex]
Generally 94% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]138.9 -5.96 < \mu < 138.9 + 5.96[/tex]
=> [tex]132.94 < \mu < 144.86[/tex]
Robert bought 3 baseball caps for the same amount and 1 baseball jersey that cost $45. Without tax, the total cost of the items is $90. What is the cost of each baseball cap?
Answer:
Unitary cost= $15
Step-by-step explanation:
First, we need to calculate the total cost of the baseball caps:
Total cost baseball caps= 90 - 45
Total cost baseball caps= $45
Now, the unitary cost of each baseball caps:
Unitary cost= total cost / number of units
Unitary cost= 45/3
Unitary cost= $15
HELLLLLLLLLLLLLLp
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
Answers:
k = 23k = 10k = 5k = 2k = -2k = -5k = -10k = -23There are eight items in that list above.
===================================
Explanation:
We'll use the AC method of factoring.
The first term has coefficient 3. The last term is -8. Multiply them to get 3*(-8) = -24.
Now let's list all the ways to multiply two integers to get -24
-1*24-2*12-3*8-4*6-6*4-8*3-12*2-24*1For each pair of factors listed, we'll add up those pairs. Each sum we get represents a possible value of k
k = -1+24 = 23k = -2+12 = 10k = -3+8 = 5k = -4+6 = 2k = -6+4 = -2k = -8+3 = -5k = -12+2 = -10k = -24+1 = -23Note the symmetry. For instance we have 10 as one sum and -10 as another sum.
-------------------------------
Let's go over an example. Let's say that k = 10
The expression 3x^2+kx-8 turns into 3x^2+10x-8
From the list above, we see that -2+12 = 10. So the two values -2 and 12 will help us factor.
Break up the 10x into -2x+12x and then factor by grouping like so
3x^2 + 10x - 8
3x^2 - 2x + 12x - 8
(3x^2 - 2x) + (12x - 8)
x(3x-2) + (12x - 8)
x(3x-2) + 4(3x - 2)
(x+4)(3x-2)
Therefore, 3x^2 + 10x - 8 factors into (x+4)(3x-2)
We can use the FOIL rule, distribution, or the box method to confirm this.
I'll let you try out other values of k to see how 3x^2+kx-8 factors.
Please answer this ASAP
Answer:
4,2
Step-by-step explanation:
The slope of the line is 2.
All you have to do is rise/ run.
Rises 6 runs 3.
So 6/3.
Simplify iff possible, and in this case it is possible. Which gives you 2.
Answer is 2.
which example describes measuring area
Answer:
Of what?
Step-by-step explanation:
A 2nd baseman throws a baseball toward the 1st baseman 60 feet away. The path of the ball is given by f(x)=-0.004x^2+0.3x+6, where f(x) is the height of the ball (in feet) and x is the horizontal distance from the 2nd baseman (in feet). The 1st baseman can reach 8 ft high. Can the 1st baseman catch the ball without jumping?
Answer:
The 1st baseman can't catch the ball without jumping.
Step-by-step explanation:
To know if the 1st baseman can catch the ball without jumping we need to find the height reached by the baseball by solving the following equation:
[tex] f(x) = -0.004x^{2} + 0.3x + 6 [/tex]
We know that x (the horizontal distance) = 60 feet, so we have:
[tex] f(60) = -0.004(60)^{2} + 0.3(60) + 6 [/tex]
[tex]f(60) = 9.6 ft[/tex]
Since the 1st baseman can reach 8 ft high and the height reached by the baseball is 9.6 ft, the 1st baseman can't catch the ball without jumping.
Therefore, the 1st baseman can't catch the ball without jumping.
I hope it helps you!
Mai bought a bag of groceries for $20.00 and four board games. Mai paid $108.00 for the entire purchase. How much money did Mai pay for one board game?
A.
g = $44.00
B.
g = $22.00
C.
g = $20.00
D.
g = $108.00
Answer:
22
Step-by-step explanation:
108- 20 to get 88 then divide by 4
Answer:
B; g = $22
108-20=88
88/4=22
Step-by-step explanation:
Hope this helps! <3
GOODLUCK.
can someone pls solve this for me? (:
Answer:
8mm - Ladybug
8cm - Battery
12cm - Frog
19cm - Toothbrush
1000km - Texas
40m - Ferris Wheel
12m - Helicopter
70cm - Desk
I think this might be right.
I hope this helps!
Which is a graph of a proportional relationship?
Answer:
C
Step-by-step explanation:
I cant see the whole thing but if graph C starts from the origin or point 0,0 its proportional.
John has a total of 14 coins in his pocket consist of quarters, dimes, nickels, and pennies. He has a total of $1. 67. How much of each coin does John has?
Answer:
15.67
Step-by-step explanation:
14+1.67=15.67
Are utility costs fixed or variable?
Answer:
variablle
Step-by-step explanation:
Answer:
Fixed costs often include rent, buildings, machinery, etc. Variable costs are costs that vary with output. ... Variable costs may include wages, utilities, materials used in production, etc. In accounting they also often refer to mixed costs.
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
2s+(−4s)
(2 s) + ((−4) s) =
-2 seconds
Given f(x) = 6(1 - x), what is the value of f(-8)?
Answer:
54
Step-by-step explanation:
Given f(x) = 6(1 - x), what is the value of f(-8)?
F(-8)=6(1--8) -- plug -8 into f(x) and x spots.
F(-)8=6(9) ---then solve
F(-8)=54 --- so the function to f(-8) is 54
Ken, a meteorologist, is predicting next year's temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Ken's predicted temperature for September is how many ºC
Answer:
16 °C
Step-by-step explanation:
We are told that Ken predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September.
Now, in a standard 12 month calendar, the month of August comes before the month of September.
Thus, in September a drop off by 4°C from 20°C means that the new temperature in September is; 20°C - 4°C = 16 °C
Answer:
16
cause why not
The cost of a gallon of milk is $3.27 each. What is the maximum number of milk cartons you can buy for $20?
Answer:
6
Step-by-step explanation:
20 divided by 3.27 is 6.11 but you can't have .11 of a milk carton.
PLEASEEEE HELPPPPP someoneeee I don’t want to fail :(
Answer:
write answer is 600,, 100% sure
Lol , so this question is from your school google forms? ; )
Answer is 600. Lemme show you how.
Y is proportional to x.
y ∝ x
to remove proportionality , we put k.
y = kx
Now , insert values of y and x to find k.
60 = k *75
k = 75 / 60
Now when Y = 480 , x =?
x = (75/60)(480) = 600.
X = 600
three times the sum of a number n and 5 is at least 17.
Answer:
3(n+5)≥17
Step-by-step explanation:
3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
What is an Inequality?The relationship between two expressions or values that are not equal to each other is called inequality.
Given that three times, the sum of a number n and 5 is at least 17.
According to the question, the expression will be = 3(n+5)≥17
Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
HELLPP ME ILL GIVE 100PTS AND BRAINLYIST
GO TO MY RECENT QUESTIONSSSSSSS
Answer:
The correct answer is D
Step-by-step explanation:
Answer:
B. The graph is linear because it increases at a constant rate.
the cost of 1 kg apples is ruppees 85 find the cost of 2 3/4 kg apples
pls urgent will mark u the brainliast
Answer:
233.75 ruppees
Step-by-step explanation:
convert 2[tex]\frac{3}{4}[/tex] into decimal
2.75
calculate
85 × 2.75
233.75
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
If Sn=-15, a1=12, d=-3 what is the value of n?
Ah yes.
Refer the pictures at the bottom. Let me know in comments if you can access the pdf given.
Need help on this question, giving 10 points.
Answer:
decrease
Step-by-step explanation:
theres less bars on y than x so it went down
Tina missed this problem on her test.
What was her mistake?
The multiplication is wrong in part A.
The multiplication is wrong in part B.
The place holder was left out in part B.
The decimal was moved too many places in part C.
c is your answer
Step-by-step explanation:
-throckmorton
Find the modeof the set 7,4,3,5,4,6,2
Answer:
what do you mean the mode
−14x − 5= −10x − 45
what is x?
Answer:
x = 10
Step-by-step explanation:
-4x = -40
x = 10
What are ways to write k/3 + 16 in words
Answer:
You can say "K over 3 plus 16" or 'The sum of 16 plus k over 3"
Step-by-step explanation:
Hope this helps :)
Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile.
A: y = 0.5x + 5
B: y = 5x – 0.5
C: y=0.5x-5
D: y=5x+0.5
Answer: y=0.5x+5
Step-by-step explanation:
just did it on edg
Answer:
B.
Step-by-step explanation:
Do this plz ;/ to lazy, dont answer id u dont know or else (;
Answer:
it would be the one after eight so put it on the 9 mark
Step-by-step explanation:
hope u get it right if not srry
