Answer:
The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Step-by-step explanation:
We need to write an equation in slope-intercept form perpendicular to the given equation through the given point
y = -3x + 4
(6,-2)
The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding slope:
The given line is perpendicular to required line, so there slopes are opposite
The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)
The slope of required line is: [tex]m = \frac{1}{3}[/tex]
Finding y-intercept:
y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)
[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]
So, we get y-intercept b =0
Equation of required line:
So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:
[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Help me pleaseee haha
Answer:
C = 5x + 100
Step-by-step explanation:
Its C because...
The 100 is the y-intercept, it's not going to change, it will remain constant
The 5x represents the amount of money PER day, which is 5, so as each day increases (x) so will the amount of money
Hope this helped!
Answer:
The answer is 5x + 100.
Step-by-step explanation:
the starting fee is 100 and it costs 5 per day so 5x + 100.
Please give brainliest
x= -1/5; f(x) = (25/2)x + (-91/2) =
Answer:
Write the problem as a mathematical expression.
X=−1/5; f(x)=(25/2)x+(−91/2)
Replace the variable x with x=−1/5 in the expression.
f(−1/5)=(25/2)(−1/5)−91/2
Simplify the result.
−48
Step-by-step explanation:
Find the value of x. Round to
the nearest tenth.
Х
15°
300
X = ?
Answer:
80.4
Step-by-step explanation:
Use the tan formula
The value of X is approximately 80.38 units.
Here, we have,
To find the value of X, we can use trigonometric functions.
In this case, we'll use the tangent function, which relates the angle and the sides of a right triangle.
The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this scenario, we have the angle between the hypotenuse and the base as 15°, and the base of the triangle is given as 300 units.
Using the tangent function, we can set up the equation:
tan(15°) = X / 300
Now, let's solve for X:
X = 300 * tan(15°)
Using a calculator, we find:
X ≈ 80.384
Rounding to the nearest tenth, the value of X is approximately 80.38 units.
To learn more trigonometry click:
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Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
Someone please help me answer this question
Answer:
reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Which of the following is the correct equation for the line
that crosses the x-axis at (3,0) and the y-axis at (0, 6)?
Answer:
-4,5
Step-by-step explanation:
Evaluate the expression 36.6 – 24 x 22 ÷ 3
Answer:
-139.4
Step-by-step explanation:
36.6 - 528 ÷ 3 = 36.6 - 176
= -139.4
P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S
Answer:
135c^7
Step-by-step explanation:
[tex]135c^7[/tex] is the simplified equation of the given expression.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To simplify [tex]5c(3c^2)^3[/tex], we need to apply the power rule of exponents, which states that [tex](a^m)^n = a^{(m*n)[/tex].
In this case, we have [tex](3c^2)^3[/tex], which means we need to multiply the exponent 3 by the exponent 2, giving us 6. So, we can rewrite the expression as:
[tex]5c(3c^2)^3 = 5c(3^3c^{(2*3)})[/tex]
Simplifying further, we get:
[tex]5c(3^3c^6) = 5c(27c^6)[/tex]
Finally, we can simplify by multiplying 5 and 27, and adding the exponents of c:
[tex]5c(27c^6) = 135c^{(1+6)} = 135c^7[/tex]
Therefore, [tex]5c(3c^2)^3[/tex] simplifies to [tex]135c^7[/tex].
Learn more about Simplification here:
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The Owner of a large chain restaurant with 1,200 employees estimates that about 250 employees will ask for winter vacation. A random sample of 40 employees show that 8 of them will ask for the time off . Determine whether the owner's estimate is likely to be accurate
Answer:
He is likely to be accurate.
Step-by-step explanation:
An estimate is a value that is close to the true or actual value. Usually, a sample from a smaller group is projected into a larger population. To crosscheck the trueness of the estimate, we compare the small sample to the large sample thus;
If 40 employees = 8 applicants for vacation
1200 employees = ? applicants for vacation
Cross multiplying the above gives;
1200 * 8
40
= 9600/40
= 240 applicants for vacation.
The figure 240 is close to the owner's estimate of 250.
I need help please!
Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
OKK almost done pls tell me if you can!!!!
Step-by-step explanation:
(3*4+1) / 4. * (2*5+3) / 5
= 13/ 4 * 13 /5
= 169/20
Answer:
(8 9/20)(x)
Step-by-step explanation:
what is 1/5x +8 < -4
Answer:
The answer is x< -60
please let me know if I am incorrect.
Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.
300 students were served about their favorite Subject the results are shown on the table below language arts 15 math 24 psi and 33 social studies 21 elective seven how many students prefer science then math
You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?
Answer:
4 and 1/2 miles (or 9/2 miles)
Step-by-step explanation:
I would set this up as a proportion
3/4 x
10 60
Cross multiply
60 x 3/4 = 45
Divide
45/10 = 4.5
4.5 = 4 and 1/2 miles
In a study of facial behavior, people in a control group are timed for eye contact in a 5- minute period. Their times are normally distributed with a mean of 184 seconds and a standard deviation of 55 seconds. For a randomly selected person from the control group, find the probability that the eye contact time is greater than 230 seconds
Answer:
0.20148
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 230
μ is the population mean = 184
σ is the population standard deviation = 55
z = 230 - 184/55
z = 0.83636
P-value from Z-Table:
P(x<230) = 0.79852
P(x>230) = 1 - P(x<230) = 0.20148
Therefore, the probability that the eye contact time is greater than 230 seconds is 0.20148
Solve the system of linear equations using
substitution. Y=x-3
Y=8x-31
Answer:
x=4 y=1 or (4,1)
Step-by-step explanation:
please solve the logarithmic equation and show your work. log3(2x-5)=2
Janel went shopping and bought 2 shirts and a pair of pants for $55.78 before tax. How much was the total after 6% sales tax?
Answer:
$59.13
Step-by-step explanation:
6% of 55.78= 3.35
3.35+55.78=59.13
Select two ratios that are equivalent to 2:92:92, colon, 9.
Answer:
The only options equivalent to 2:9 are B and C. A ratio is a comparison between two or more numbers
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
lets try this again can someone help
Answer:
Step-by-step explanation:
First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]
solve the equation. check your solution n - 6 = 21
Answer:
n=27
Step-by-step explanation:
Answer:
n=27
Step-by-step explanation:
Let's solve your equation step-by-step.
n−6=21
Step 1: Add 6 to both sides.
n−6+6=21+6
n=27
Hope it helped!
1) Give an example of a rational number AND an irrational number.
What is the difference between them?
2) What is the decimal equivalent of your two examples?
3) Can every repeating decimal be written as a rational number? Explain why or why
not.
Answer:
Step-by-step explanation:
A rational number is one that can be expressed as a fraction. Pi cannot be. If I tell you that the 2000th digit of pi is an 8 (which it probably isn't) and I ask you to tell me the 2001 value of pi, you have no better odds that 1/10 of getting it right.
A rational number can always be reduced to a fraction. 20 1/2 can be expressed as a fraction. It is 20.5
Pi is irrational. I don't know the value of pi beyond what a calculator can tell me. 3.14159265 The next digit is a 4. I know this only because that is what the calculator tells me.
Repeating decimals call always be represented as a fraction. For ex
x = 0.123123123123123
1000x = 123.123123123123
x = .123123123123123 Subtract
999x = 123
This comes about because in both cases what is after the decimal is the same.
x = 123/999 = 41/333
Lynn and three friends estimated to find 29.11 ÷ 35. Their estimates are shown in the table below.
Whose estimate is best?
Answer:
I don't see any table please be sure to include it.
Step-by-step explanation:
Answer:
Lynn
Step-by-step explanation:
29.11 divided by 35 is 82 remainder 31. Lynn has the closest answer.
Aden gets paid daily for the work she does and she does not work on Sundays. Last year which was n ot a leap year had 52 Sundays. She got Dhs 354003 as her annual salary last year. If the March of last year had 5 Sundays, how much did she earn in that month?
Answer: Dhs 29312.4
Step-by-step explanation:
For a leap year, we should note that there are 366 days. Since there were 52 Sundays, the number of days worked by Aden will be:
= 366 - 52
= 314 days
Since she got Dhs 354003 as her annual salary last year, the amount received per day will be:
= 354003 / 314
= Dhs 1127.4
The amount earned in March will be:
= (31 - 5) × 1127.4
= 26 × 1127.4
= Dhs 29312.4
Will I fail this year, let me know what you think.
Answer:
nahhhhhhh u will passsss
What is x ?
-2x + 7x - 62 = 83
Answer:
x = 29
Step-by-step explanation:
round to the nearest 10th (-1 , 4) and (1 ,-1)
Answer:
hehhfhrhrjrhrh
Step-by-step explanation:
jfjfjurufurufufjfufuhfhfjfirjfujrjfirkfkhu is the term-to-term of all 4x 4 in a number subtract and its own in an expression 6.40 is the term-to-term of all that they are students to the people who is the true and their family sense TTYL their minds to the people who is the term-to-term
need help asap if you can help that would be awsome
Answer:
12
Step-by-step explanation:
the diagram is shown to have 3 equal angles (equilateral triangle) therefore all sides are the same length.
X = 12
~Can ~ you ~ please ~ help ~ me ~ out?~
Also please don't make fun of how I write my questions- ;w;
If you do that's okay, I'm not the boss of you ^^
Answer: c
Step-by-step explanation:
Hadley was going out with her friends for dinner. The equation c = x + 0.07x + 0.18x gives the total cost c of her meal, where x is the cost before tax and tip. The restaurant charges 7% sales tax and she plans to leave an 18% tip. She knew that she can only spend $18. What is the maximum amount Hadley can spend before tax and tip?
Answer:
$14.4
Step-by-step
c = x + 0.07x + 0.18x
18 = x + 0.07x + 0.18x
18 = 1.25x (simplify)
14.4 = x (divide both sides by 1.25)