6. Two linear equations are shown in the graph.
*(0.6)
(6,5),
COD).
(6.0)
dat
35344
tett
What are the coordinates of the point where the two lines intersect?
A. (-2, 3)
B. (3, 0)
C.(-3.3)
D. (3, 3)
Mark for review (Will be highlighted on the review page)
Alaviation
Answers
Answer:
(3,3)
Step-by-step explanation:
Linear equations of lines are given in the form:
y = mx + b;
where m is the slope of the line, b is the y intercept and x, y are variables.
From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).
The equation of line 1 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)[/tex]
The equation of line 2 is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]
Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:
(5/3)x - 5 = 0
(5/3)x = 5
x = 3
Put x = 3 in equation 1:
y = -3 + 6 = 3
Therefore the two lines meet at (3, 3).
Related Questions
prove that: [tex]tan20+4sin20=\sqrt{3}[/tex]
Answers
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
Let f(x)=-4(2)^x. The graph of g(x)=f(x)+k is shown below. Identify the value of k.
Answers
Given:
The function is:
[tex]f(x)=-4(2)^x[/tex]
The graph of the function [tex]g(x)=f(x)+k[/tex] is given.
To find:
The value of k.
Solution:
We have,
[tex]f(x)=-4(2)^x[/tex]
[tex]g(x)=f(x)+k[/tex]
Using these two functions, we get
[tex]g(x)=-4(2)^x+k[/tex]
From the given graph it is clear that the graph of g(x) passes through the point (0,2). It means the point (0,2) satisfies the function g(x).
Substituting [tex]g(x)=2[/tex] and [tex]x=0[/tex] in the above function, we get
[tex]2=-4(2)^0+k[/tex]
[tex]2=-4(1)+k[/tex]
[tex]2=-4+k[/tex]
[tex]2+4=k[/tex]
[tex]6=k[/tex]
Therefore, the value of k is 6.
I need awnser asap im giving brainlist in this one
8/1 x 8
Answers
Answer:
64
hope this helps
have a good day :)
Step-by-step explanation:
Have a great day !
Select the two expressions equivalent to 25 .
Answers
Answer: 2 primes 1 disinct
Step-by-step explanation:
Square root of 625 = 25
a number is one more than twice another number. if the sum of the two numbers is -35, what are the two numbers
Answers
Answer:
(2x+1) +x = -35
3x= -36
x= -12
Step-by-step explanation:
show me an example of fibonacci sequence
Answers
Answer:
See Below
Step-by-step explanation:
The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...
The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.
Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)
*Disclaimer: I do not own any of the images
Solve the system of linear equations by elimination. Show your work
2x-y=-3
4x + 3y = -21
Answers
Answer:
x = -3, y = -3
Step-by-step explanation:
Solve the following system:
{-y + 2 x = -3 | (equation 1)
3 y + 4 x = -21 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 3 y = -21 | (equation 1)
2 x - y = -3 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = -21 | (equation 1)
0 x - (5 y)/2 = 15/2 | (equation 2)
Multiply equation 2 by 2/5:
{4 x + 3 y = -21 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{4 x + 3 y = -21 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = -12 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -3 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: x = -3, y = -3
True or False: The first number in an integer subtraction problem tells you where to start on the board.
Answers
Answer:
i think false
Step-by-step explanation:
Please help me!! I will give you brainliest!
Answers
Answer:
volume = 7/8 cubic units
Step-by-step explanation:
[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]
The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?
Answers
Answer:
True
Step-by-step explanation:
If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.
It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.
What is function?Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.
How to find x intercept?We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.
when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.
[tex]a^{x}+4[/tex]=0
[tex]a^{x}[/tex]=-4
taking log both sides,
log [tex]a^{x}[/tex]=log(-4)
x log a=0.602059991+1.3437635i
x=(0.602059991+1.3437635i)/log a
when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.
Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.
Leaarn more about function at https://brainly.com/question/10439235
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I don't know what the answer is.
Answers
Answer:
C.) 87
Step-by-step explanation:
if you look at it from the other side, its counting down from 91 from the left.
Answer: 87
No explanation :)
PLS HELP EMERGENCY!!!
Answers
Answer:
[tex]P(t) = 29816591(1.025)^{t-5}[/tex]
Step-by-step explanation:
Equation:
The equation for the population of California, in t years after 1990, is given by:
[tex]P(t) = 29816591(1.025)^t[/tex]
In which 29816591 is the initial population, that is, the population in 1990.
From 1995:
First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.
So
[tex]P(5) = 29816591(1.025)^5 = 33734736[/tex]
So
Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So
[tex]P(t) = 29816591(1.025)^{t-5}[/tex]
Supposed f(x) =x^3. Find the graph of f (x-3)
Answers
Answer:
Step-by-step explanation:
the graph will move 3 units to the right
graph 4 I think, although cannot see the picture well
Answer:
Step-by-step explanation:
The -3 translates the graph of x^3 3 units to the right.
How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:
Answers
Answer:
[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]
Step-by-step explanation:
Given
See comment for complete part of the question
Required
Make a stem and leaf plot
We have:
[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]
[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]
[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]
Categorize the dataset according to tens
[tex]47[/tex]
[tex]52, 57, 58, 58[/tex]
[tex]61, 66, 66, 68, 68[/tex]
[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]
[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]
[tex]90, 91, 91, 92, 93, 97[/tex]
So, the stem and leaf plot is:
[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]
A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g, find the mass of the block in kg
Answers
9514 1404 393
Answer:
20,000 cm³54 kgStep-by-step explanation:
1 m is 100 cm, so the volume is ...
V = LWH
V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume
__
The mass is ...
(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg
The mass of the block is 54 kg.
A total of 800 copies of a CD were sold. 60% were sold at 50% discount, 20% were sold at 30% discount and the remainder were sold at the full price of N8.95. What was the approximate total revenue in Naira?
Answers
Answer:
4582.4
Step-by-step explanation:
A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24. Find the car’s original value.
Answers
Given :
A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24.
To Find :
The car’s original value.
Solution :
Formula of car depreciation is :
[tex]A= P( 1- \dfrac{R}{100})^n\\\\42547.24 = P( 1 - \dfrac{2.8}{100})^8\\\\42547.24 = P\times 0.8\\\\P = \dfrac{42547.24}{0.8}\\\\P = \$53184.05[/tex]
Hence, this is the required solution.
can anyone help me find the function for this trig graph ? 80 pts
Answers
Answer:
Find the amplitude which is half the distance between the maximum and minimum.
Find the period of the function which is the horizontal distance for the function to repeat. If the period is more than 2π then B is a fraction; use the formula period = 2π/B to find the exact value.
Find any phase shift, h.
Step-by-step explanation:
Lena buys candy that costs $6 per pound. She will buy less than 8 pounds of candy. What are the possible amounts she will spend on candy?
Use c for the amount (in dollars) Lena will spend on candy.
Write your answer as an inequality, solved for c.
What is the inequality for this?!
HELP!
Answers
Answer:
$42
Step-by-step explanation:
less than 8 is supposed to be 7 or less 6×7=$42
12 43 a а- 5 6 b + 8 7 Line a is parallel to line b, m 2 = 4x+44, and m 46 = 6x +36 . Find the value of x.
Answers
Answer:
m=−57/92,x=−43/4
Step-by-step explanation:
A model of a building is made using a scale of 1 inch = 20 feet. What is the height of the actual building, in feet, if the height of the model is 10.5 inches?
Answers
Answer:
210.
Step-by-step explanation:
10.5 x 20 = 210
i hope that helps!!!
Can u please answer these two questions
Answers
6) It is D
Jack rolls a fair number cube and spins the spinner. What is the probability that jack will get a number less than 4 and lands on blue?
Answers
Answer:
7.14%
Step-by-step explanation:
A fair number cube has 6 sides while a normal spinner has 7 different colors. In order to find the probability of Jack getting a number less than 4 and lands on blue, we need to find the probability of each individual event and multiply them together. Since the cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6. On the wheel there are 7 colors and only one is blue, therefore, the probability is 1/7. Now we multiply these fractions together.
[tex]\frac{3 * 1}{6 * 7} = \frac{3}{42}[/tex] or 0.0714 or 7.14%
Therefore, the probability of this event happening is 7.14%
The probability of this event is 7.14%.
What is the number of sides in a fair number cube?A fair number cube has 6 sides.
While a normal spinner has 7 different colors.
In order to find the probability of Jack getting a number less than 4 and lands on blue,
we have to find the probability of each individual event and then multiply them together.
The cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6.
On the wheel there are 7 colors and only one is blue.
Therefore, the probabilitiy is 1/7.
Now we multiply these fractions together.
[tex]\frac{3\times 1}{6\times 7} =\frac{3}{42}= 0.0714[/tex]
[tex]\frac{ 0.0714 }{100}=7.14\%[/tex]
Therefore, the probability of this event is 7.14%.
To learn more about the probability visit:
https://brainly.com/question/24756209
The miles driven in a car going 65
Answers
Answer:
We need more info
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
You have to add more context to your question.
mathsssssssss
helppppp
plzzz
Answers
Answer:
i dont know your answer but plz can u help me in my maths question plz
anybody know the answer to this question? I’m kinda lost
Answers
Answer:
A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F
Step-by-step explanation:
A regression model is in the form :
y = mx + c
With m being the slope = rate of change
In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x
The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F
Which graph shows how the Student distance from home changed over time
Answers
Answer:
there is no graph maybe post again
2. The more
there is in a waterproofing foundation coating, the better the performance.
O A. rubber
O B. foam
O C. asphalt
O D. fiberglass
Answers
The city of Seeley, CA, has elevation 45 feet below sea level. What is the elevation of a city with an elevation the opposite of Seeley's?
A) -45 feet
B) 0 feet
C) 45 feet
D) 90 feet
Answers
The elevation of the city with an elevation opposite Seeley's is -45 feet. The correct option is A.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles, and the calculations based on these relationships. It specifically focuses on the ratios between the sides of a right-angled triangle.
The elevation of a city with an elevation opposite of Seeley's can be found by taking the opposite of Seeley's elevation, which is 45 feet, to get the answer.
Therefore, the elevation of the city with an elevation opposite of Seeley's is:
A) -45 feet
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When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movies: romantic comedy (R), action/adventure (A), or drama (D); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each.
Required:
List the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from. REDDIT
Answers
Answer:
[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]
Step-by-step explanation:
Given
[tex]Restaurant = \{P,B\}[/tex]
[tex]Movies = \{R,A,D\}[/tex]
[tex]Post-movie = \{C,I\}[/tex]
Required
List out the sample space
To do this, we simply pick 1 item in each category, without repetition.
So, we have:
[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]