4x – 2y = 106x+3y=18Put them in slope intercept form
Answers
The slope form is represented below
\(\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}\)Therefore,
\(\begin{gathered} 2y=4x-10 \\ \text{divide through by 2} \\ \frac{2y}{2}=\frac{4x}{2}-\frac{10}{2} \\ y=2x-5 \end{gathered}\)\(\begin{gathered} 3y=18-6x \\ 3y=-6x+18 \\ \text{divide both side by 3} \\ \frac{3y}{3}=\frac{-6x}{3}+\frac{18}{3} \\ y=-2x+6 \end{gathered}\)Related Questions
What is the value of the expression three less than the quotient of ten and a number, increased by six" when n = 2?
Answers
Answer:
The Answer is 8.
Step-by-step explanation:
I just took the test on Edge and got it right, hope this helps! :)
marie wants to know the most popular car for parents. She plans to survey the people shopping at the used car lot from 10:00 a.m. to 11:00 p.m. Which statement below best reflects Marie's plan?
A. Marie's sample is valid.
B. Marie should also survey people entering the grocery stores.
C. Marie's sample is biased.
D. Marie should make sure she surveys both men and women.
Answers
Answer:
C Marie's sample is biased.
Step-by-step explanation:
It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11
Hope this helps!
Merry Christmas
Answer:
Give the other person brainliest.
Step-by-step explanation:
The other person is correct.
f(x) is a function.
true or false?
30 points!!!
Answers
False:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Answer:
False
Step-by-step explanation:
One input can't have multiple outputs but one output can have multiple inputs
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.
If the profit is the difference between the revenue and the cost, what expression represents the profit?
3x – 260
3x + 140
5x – 260
5x + 140
Answers
Answer: 5x — 260
Step-by-step explanation:
juss fye like that lol
Answer:
option C :5x – 260
Step-by-step explanation:
hope this helps
who many 5/8 are in 6 1/4
Answers
Which of these numbers are irrational?
Answers
Answer:
The answer is option B.
√5
Hope this helps you
Answer:
B. \(\sqrt{5}\)
Step-by-step explanation:
Irrational numbers cannot be expressed as simple fractions.
3/5 is a fraction.
\(\sqrt{5}\) cannot be expressed as a fraction.
-3.5 can be written as -7/2.
3.555... can be written as 32/9.
Simplify the expression given below. x+2/4x^2+5x+1 *4x+1/4x^2-4
Answers
Answer:
5/12x
Step-by-step explanation:
x+2/4x^2+5x+1 *4x+1/4x^2-4
x+2/16x+5x+1*4x+1/16x-4
x+2/21x+1 (4x+1/16x-4)
-x . -x .
2/20x+1 (4x+1/16x-4)
-1 . -1 .
20x(4x+1/16x-4)
(80x+20x/320x-80x)
100x/240x
5/12x
Find the sum and product of the roots. 2x^2 + 6x - 8 = 0
Answers
I need help!! Pleasee!!!
Answers
Answer:
15/20=d/16
20d. =15×16
20d=240
d=12 cm
Find all the values of x where the tangent line to the function f(x)=x3-4x² - 2x + 7 is horizontal.The solution(s) is/are the value(s) of x that satisfy(Type an equation.)Solve for x.That is, solve the equationX=(Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.)
Answers
Solution:
Given the function f(x) expressed as
\(f(x)=x^3-4x^2-2x+7\)For horizontal tangent, we have
\(f^{\prime}(x)=0\)Thus, we have
\(\begin{gathered} f^{\prime}(x)=3x^2-8x-2 \\ when\text{ f'\lparen x\rparen=0, we have} \\ 3x^2-8x-2=0 \\ \end{gathered}\)solving for x using quadratic formula, we have
\(\begin{gathered} x=\frac{-\left(-8\right)\pm\:2\sqrt{22}}{2\cdot\:3} \\ \Rightarrow x=\frac{-\left(-8\right)+2\sqrt{22}}{2\cdot\:3} \\ =\frac{4+\sqrt{22}}{3} \\ or \\ \Rightarrow x=\frac{-(-8)2\sqrt{22}}{2\times3} \\ =\frac{4-\sqrt{22}}{3} \end{gathered}\)Hence, the solution are values of x that satisfy f'(x) = 0. That is, solve the equation
\(3x^2-8x-2=0\)x=
\(\frac{4+\sqrt{22}}{3},\frac{4-\sqrt{22}}{3}\)Some states authorize a to make healthcare decisions ------- for patients who can't make them because they're incapacitated . O a ) healthcare proxy b ) living will O c ) durable power of attorney O d ) do - not - resuscitate order
Answers
Hello, the answer is Option A.
Line-wise answer:-
Some states authorize a to make healthcare decisions healthcare proxy for patients who can't make them because they're incapacitated.
Hope it helps you...
Benjemin ☺️
What's the area please help?
Answers
Answer:
48 units^2
Step-by-step explanation:
So i split the arrow to make it just one rectangle and one triangle
Area of rectangle
= 4×10
= 40 units^2
Area of triangle
= (12-10)×8×1/2
= 2×4
= 8 units^2
Total area of the arrow
= 40+8
= 48 units^2
4(x-1) =2(x+9)
2 11
Show ur work
Answers
Answer:
\(thank \: you\)
Answer: x = 11
Step-by-step explanation:
Given
4 (x - 1) = 2 (x + 9)
Expand parentheses and apply the distributive property
4x - 4 = 2x + 18
Subtract 2x on both sides
4x - 4 - 2x = 2x + 18 - 2x
2x - 4 = 18
Add 4 on both sides
2x - 4 + 4 = 18 + 4
2x = 22
Divide 2 on both sides
2x / 2 = 22 / 2
\(\boxed {x=11}\)Hope this helps!! :)
Please let me know if you have any questions
Lester randomly surveyed 200 people from his town asking whether they will attend the grand opening of his new restaurant.of the 200 people 120 say they will attend the grand opening of the 4220 people in his town how many does Lester expect to attend the grand opening?
A.120
B.235
C.2532
D.4100
Answers
Answer:
C. 2532
Step-by-step explanation:
120 people out of 200 surveyed is 60%
60% of 4220 people = 2532
hope this helps, brainliest plz
Find the determinant of this matrix:
\(\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\)
Answers
Answer:
-1
Step-by-step explanation:
Formula to the determinant is:
\(\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc\)
0(0)–1(1)
0-1
-1
Answer:
-1
Step-by-step explanation:
Formula: ad-bc
0(0) - 1(1)
0-1
-1
find the x – intercepts of the graph of the function f(x) = x2 – 2x + 1
A) (1,0)
B) (-1,0)
C) (0,-1)
D) (0,1)
PLEASE HELP ME ITS URGENT , WILL MARK AS BRAINLIEST!!!
Answers
Answer:
\(\boxed{\sf A) ( 1,0) }\)
Step-by-step explanation:
A quadratic function is given to us and we need to find the x Intercept of the graph of the given function . The function is ,
\(\sf \implies f(x) = x^2 -2x + 1 \)
For finding the x intercept , equate the given function with 0, we have ;
\(\sf \implies x^2 -2x + 1 = 0 \)
Split the middle term ,
\(\sf \implies x^2-x-x+1=0\)
Take out common terms ,
\(\sf \implies x( x -1) -1( x -1) = 0\)
Take out (x - 1 )as common ,
\(\sf \implies (x - 1 )(x-1) = 0\)
Equate with 0 ,
\(\sf \implies x = 1,1 \)
Therefore the root of the function is 1. Hence the x Intercept is (1,0)
Hence the x Intercept is (1,0) .
Step-by-step explanation:
x² - 2x + 1 = 0
x² - (x + x) + 1 = 0
x² - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
(x - 1)(x - 1) = 0
x = 1
Hence,
Option A
a service center receives an average of 0.7 customer complaints per hour. management's goal is to receive fewer than three complaints each hour. assume the number of complaints follows the poisson distribution. determine the probability that exactly four complaints will be received during the next eight hours.
Answers
The probability that exactly four complaints will be received during the next eight hours is 15.41%.
A discrete probability distribution called the Poisson distribution provides the likelihood that an event will occur a specific number of times over the course of a given period of time or location. The formula for this distribution is given by \(P(X=x)=\frac{e^{-\mu}\times \mu ^x}{x!}\) where x is the number of successes, μ is the mean, and e is Euler's number.
Given n = 8 hours then, μ = 0.7n = 0.7×8 = 5.6.
Then, the probability that exactly four complaints are received is,
\(\begin{aligned}P(X=4)&=\frac{e^{-5.6}\times5.6^4}{4!}\\&=0.1541\end{aligned}\)
The required answer is 15.41%.
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Find the experimental probability of tossing heads.
H stands for heads and T stands for Tails.
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T
Answers
The value of the experimental probability of tossing heads is,
⇒ 1 / 3
We have to given that;
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T
Where, H stands for heads and T stands for Tails.
Hence, Total outcomes = 15
And, Head outcomes = 5
Thus, The value of the experimental probability of tossing heads is,
⇒ 5 / 15
⇒ 1 / 3
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Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle
Answers
the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
Given: The hypotenuse of the right triangle,
c = 159 ft; angle A = 34°
We know that, in a right-angled triangle:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$\)
We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)
\({\text{adjacent}}$$\) Length of side a is:
\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)
Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:
\($$\text{Area} = \frac{1}{2}ab$$\)
Putting the values of a and b:
\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)
Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
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Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
They are attached below.
Answers
14)The sum of the tangent and the sine of the angle is obtained as 1.21.
15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.
16)The angle opposite the largest side is 130°.
What is the trigonometric ratios?The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.
14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;
a = √2^2 + 3^2
a = √ 4 + 9
a = 3.6
We know that;
tan θ = 2/3 = 0.66
sin θ = 2/3.6 = 0.55
Then;
tan θ + sin θ
0.66 + 0.55
= 1.21
We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.
15)
The area of the segment is obtained as;
Area of the triangle;
1/2r^2 sinθ
r= radius of the circle
θ = angle of inclination
1/2 * (10)^2 * sin 60
= 43.3
Area of the sector;
60/360 * 3.142 * (10)^2
= 52.3
Therefore the area of the triangle is;
43.3 + 52.3 = 95.6 m
b)The perimeter of the segment;
(2πr * θ/360) + 2rsin(θ/2)
(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))
1.047 + 10
= 11.047 m
16)
Using;
c^2 = a^2 + b^2 - 2abcos C
20^2 = 13^2 + 9^2 - 2(13 * 9) cos C
400 = 250 - 234cosC
400 - 250 = - 234cosC
150 = - 234cosC
Cos C = -(150/234)
C = Cos-1-(150/234)
C = 130°
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2 people paint at the rate of 45 m² per hour to finish painting the
house on schedule.
At what rate would 6 people have to paint at, in m², to finish exactly
on schedule?
Answers
The rate at which 6 people will paint the house will be 135 \(m^{2}\) per hour
What is Unitary Method ?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
According to the Given information
Applying Unitary Method
House painted by 2 people at the rate = 45 \(m^{2}\) per hour
House painted by one person at the rate = \(\frac{45}{2}\) \(m^{2}\) per hour
House painted by 6 people at the rate = \(\frac{45}{2}\)× 6 \(m^{2}\) per hour
= 135 \(m^{2}\) per hour
Hence
The rate at which 6 people will paint the house will be 135 \(m^{2}\) per hour
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I kind of don’t get this could someone explain and answer this question I would really appreciate :)
Answers
Answer:
its the fourth one
sts3ps oe
Answer:
the first picture A.
Step-by-step explanation:
Vertical angles are just two angles that lie across from each other. The other 3 pictures are referring to adjacent angles which are two angles that lie directly next to each other.
What is 2/6 as a decimal
Answers
Answer: 0.333 repeating
Step-by-step explanation:
Complete the expression so it forms a perfect-square trinomial.
x² +
x + 49
Answers
Answer:
Step-by-step explanation:
How to add a great answer
ADD YOUR ANSWER
Question
Complete the expression so it forms a perfect-square trinomial.
x² +
x + 49
Answer:
The answer is 14
Step-by-step explanation:
on edge 2020.
In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?
Answers
The increase in Lupita's retirement savings from June to July to the nearest percentage is 44%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred.
It is given that the initial amount of money Lupita had in June is $115
In July the amount of money Lupita saved increased to $165
We are asked to find this increase in money as a percentage.
Increase in percentage
= {(Final amount of money - Initial amount of money) / Initial amount of money } × 100
= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%
Therefore the increase in amount of money saved as percentage is 44%.
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Find the volume of the cone.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answers
Right circular cone
Solve for volume
V≈37.7r Radius
2h Height
9V=πr2h
3=π·22·9
3≈37.69911
Answer:
37.7
Step-by-step explanation:
Find the exact value of (7\pi )/(6)) by using the unit circle.
Answers
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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I NEED HELP ASP!!!!! 3
Answers
Answer: what answer???
Step-by-step explanation: there's no equation
Write a function rule for the following geometric sequence.
4, 12, 36, 108,...when x = 0, 1, 2, 3....
A) f(x) = 3x + 4
B) f(x) = 4x + 3
C) f(x) = 4(3)x
D) f(x) = 3(4)x