Answers
Explanation:
the lines are NOT parallel (since they have different slopes) therefore there is going to be a point of intersection
the solution is the point where the two lines intersect
Related Questions
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
wat is the answer
Answers
Answer:
There was a 25% increase.
Step-by-step explanation:
PLEASE HELP ASAP!!!!
The quadratic function f(x) has roots of −4 and 2 and point (1, −5) lies on f(x). What is the equation of f(x)?
f(x) = (x − 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = 4(x − 2)(x + 4)
f(x) = 4(x − 2)(x − 4)
Answers
The equation of the quadratic function f(x) is f(x) = (x + 4)(x - 2)
How to determine the equation of f(x)?From the question, we have the following parameters:
Roots = -4 and 2
Point = (1, -5)
Rewrite the given parameters as
Roots: x = -4 and x = 2
Point: (x, y) = (1, -5)
Recall that:
x = -4 and x = 2
This gives
x + 4 = 0 and x - 2 = 0
Multiply the equations
So, we have
y = a(x + 4)(x - 2)
When (x, y) = (1, -5), we have
-5 = a(1 + 4)(1 - 2)
This gives
a = 1
Substitute a = 1 in y = a(x + 4)(x - 2)
y = (x + 4)(x - 2)
Hence, the equation of f(x) = (x + 4)(x - 2)
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Answer:
f(x) = (x − 2)(x + 4)
Hope this helps you
The scatterplot below shows the number of hours that some high school students spend on working and on video games.
A graph title Working and Video games has weekly working hours on the x-axis and weekly hours of video games on the y-axis. Points are grouped together and decrease.
Which statement about the scatterplot is true?
In general, the number of hours spent working does not affect the number of hours spent on video games.
In general, the amount of weekly time spent working is equal to the amount of weekly time spent on video games.
As the amount of time spent working increases, the amount of time spent on video games increases.
As the number of hours spent working increases, the amount of time spent on video games decreases.
Answers
Answer:
D
Step-by-step explanation:
I got it right on edg 2020
Answer:
d
Step-by-step explanation:
Suppose the vectors \( \bar{i}, \bar{j}, \bar{p} \) and \( \bar{q} \) are all unit vectors and the angle \( \theta=222^{\circ} \). Find the cartesian vector form of \( \bar{F}=(-31 \bar{i}+102 \bar{j}
Answers
The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.
Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).
To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.
\(cos(222) = -0.766\\sin(222) = -0.643\)
Substituting these values into the cartesian vector form, we have:
\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)
Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).
The cartesian vector form of \(F = (23.746i - 65.586j)\)
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The price of an item yesterday was $120. Today, the price rose to $156.
Answers
Answer:
30% increase
Step-by-step explanation:
Can someone please help me with this
Answers
B: cannot be simplified any further
C: cannot be simplified any further
D: YES
An indirect proof assumes:
1. the negative of the conclusion is true
2. the negative of the given information is true
3. the negative of the conclusion is false
4. none of the above
Answers
Answer: 2. the negative of the given information is true
Brent earns $10 for every car he washes and $15 for every lawn he mows. Let x represent the number of cars he washes and y stand for every lawn he mows.
Which expression represents the total money Brent will earn washing cars and mowing lawns?
15x+10y15 x plus 10 y
15y+10x15 y plus 10 x
15+10(xy)15 plus 10 times x y
10+15(xy)
ill be happy if i get a proper answer thank you
Answers
Answer:
The expression that represents the total money Brent will earn is the second option or 15y + 10x because y is the number of lawns he mows and he earns $15 for every lawn he mows and x is the number of cars he washes and he earns $10 for that.
Step-by-step explanation:
Hope this helps. . .<3
Lisa created the table below to show how different students get to school.
How Students Get to School
Bus
Bike
Total
7th Grade
79
128
8th Grade
83
112
Total
162
According to the table, how many students in the seventh grade bike to school?
29
49
78
83
Answers
According to the table, there are no entries for how many students in the seventh grade bike to school. The only data given is that 79 seventh-grade students take the bus and 128 seventh-grade students get to school by some means other than biking or taking the bus.
Therefore, we cannot determine from this table how many students in the seventh grade bike to school.
Step-by-step explanation:
Help ASAP.. WILL MARK BRAINLIEST
Answers
Answer: 14
Step-by-step explanation: 3 x 4 = 12, 12 - 2 =10, so, the bottom line is 10, and the cd line is slightly longer than the bottom one, thus, the answer is 14.
Answer:
Okie the correct answer is 5
Step-by-step explanation:
I just took the test for that and I had the same answers.
I hope that helps
the blue figure is a translation image of the black figure. write a rule to describe the translation
Answers
4x2 - 5x + 9 = 0
How many solutions does this problem have please help
Answers
Answer: x=17/5
Step-by-step explanation:
Exact surface area. Radius 1 3/4 and height 3 1/4
Answers
Surface Area = 10π
Step by step solved:
To find the exact surface area of a cylinder with a radius of 1 3/4 and height of 3 1/4, we can use the formula:
Surface Area = 2πr^2 + 2πrh
where r is the radius and h is the height.
Substituting the given values, we get:
Surface Area = 2π(1 3/4)^2 + 2π(1 3/4)(3 1/4)
First, let's simplify the terms inside the parentheses:
1 3/4 = 7/4
3 1/4 = 13/4
Now we can substitute:
Surface Area = 2π(7/4)^2 + 2π(7/4)(13/4)
Simplifying the terms inside the parentheses:
(7/4)^2 = 49/16
(7/4)(13/4) = 91/16
Substituting these values:
Surface Area = 2π(49/16) + 2π(91/16)
Simplifying the terms inside the parentheses:
(49/16)π = (7/4)π
(91/16)π = (13/4)π
Substituting these values:
Surface Area = 2(7/4)π + 2(13/4)π
Simplifying:
Surface Area = 14/4 π + 26/4 π
Surface Area = 40/4 π
Surface Area = 10π
Therefore, the exact surface area of the cylinder is 10π square units.
PLS HELP QUICK! I WILL MARK BRAINLIEST IF CORRECT! PLS EXPLAIN HOW YOU GOT YOUR ANSWER TOO!
Answers
Answer:
Step-by-step explanation:
any point looks like this --> point A = ( x, y )
point 1 = (5,4)
point 2 = (-9, 2)
we are given these points and are asked what is the x coordinate that is in the middle
so find the distance between the two 'x' coordinates
5 - (-9)
5 + 9 = 14
that's the distance between the points , now chop that in half. so 7
now add 7 to negative 9
or subtract 7 from 5
either way gets -2
-2 is the mid point of the 'x' coordinate
How many lines of symmetry does this figure have?
1
2
4
3
Answers
The number of lines of symmetry for the given figure will be 4.
What is symmetry?Symmetry is described in geometry as a balanced and proportionate likeness between two halves of an object.
As we know that similarity is defined as when the image is divided into two halves and one portion is completely overlapped by the other.
So in the given figure, the figure can be divided into two halves by drawing four lines along with the arrows and along with the corners. In all cases, the two halves overlap with the other.
Therefore the number of lines of symmetry for the given figure will be 4.
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Janelle invests in a piece of art that cost 600 British Pounds. A study found that art appreciates in value at a rate of 3.97% per year. Assuming this pattern continues, how much, in British Pounds, will Janelle's piece of art be valued at after 10 years? Round your answer to the hundredths place.
Enter your answer in the box.
British Pounds
Answers
Answer:
It will be worth about £885.59.
Step-by-step explanation:
The art piece originally costs £600.
And it appreciates at a rate of 3.97% each year.
And we want to find the value of the art after 10 years.
We can write an exponential function to model the situation. The standard exponential function is given by:
\(f(t)=a(r)^t\)
Where t is the time in years.
Since it appreciates at a rate of 3.97% each year, the value after each year will be (100% + 3.97%) or 103.97%.
103.97% = 1.0397. So, r = 1.0397:
\(f(t)=a(1.0397)^t\)
Our a is the initial value. Therefore:
\(f(t)=600(1.0397)^t\)
Then the value of the piece of art after 10 years is:
\(f(t)=600(1.0397)^{10}=885.5879...\approx \pounds 885.59\)
It will be worth about £885.59 after 10 years.
Answer:
885.59
Step-by-step explanation:
1. 600 + 23.82
2. 623.82 + 24.77
3. 648.59 +25.75
4. 674.34 + 26.77
5. 701.11 + 27.83
6. 728.94 + 28.94
7. 757.88 + 30.09
8. 787.97 + 31.28
9. 819.25 + 32.52
10. 851.77 + 33.82
After 10 years the art valued for 885.59 British Pounds.
Container a was filled with water to the brim. then, some of the water was poured into an empty container b until the height of the water in both containers was the same. find the new height in both water containers
Answers
After pouring some water from container A into container B, the new height of the water in both containers will be equal.
When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.
When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.
The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.
Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.
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54318+21298=____+____=75600
Answers
Answer:
Step-by-step explanation:
OK so 54318+21298=75616.
So i divided 75600 by 2 and got 37800 as an answer. So that means that 37800+37800=75600.
Isabella drove 8686 miles in 2 2/3 hours If she drove at a constant rate, how far did she travel in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answers
Find the perimeter of the trapezoid. PLEAASSSSSEEEEE HELLLLLLPPPPPP MEEEEEEE!!!!!!!!!!!
Answers
Answer:
48
Step-by-step explanation:
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train travels at 115 miles per hour. How long will it take for the two trains to be 336 miles apart? Do not do any rounding.
Answers
Answer:
It will take 1.6 hours for the two trains to be 336 miles apart.
Step by step explanation:
Given that:
Speed of eastbound train = 95 miles per hour
Speed of westbound train = 115 miles per hour
Combined speed = 95+115 = 210 miles
Distance = 336 miles
\(Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours\)
Hence,
It will take 1.6 hours for the two trains to be 336 miles apart.
Please help me! (Tangent Ratios) (30 points)
Answers
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
Each exterior angle of a regular polygon is 120° less than each of its interior angle. How many sides does the polygon have?
Answers
Answer:
12 sides
Step-by-step explanation:
let interior angle = x
x+(x-120) =180
x+x-120=180
2x-120=180
2x=180+120
x=300/2
x=150
exterior angle=150-120
=30
no. of side =s
no. of side= 30*s=360
=s=360/3
=12
Which angles are supplementary to each other? (IXL)
Answers
Step-by-stepAnswer:
∠4 and ∠5
Step-by-step explanation:
Both angels seem to add up to 180°
Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)
Answers
For choices A, B and D, the x values repeat in some way.
Choice A has x = 2 repeated
Choice B has x = 10 repeated
Choice D has x = 13 repeated
A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.
Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.
let t be the set of all movie actors and actresses. for x, y t, define x r y if there is some movie that both x and y appear in. which properties of equivalence relations does r satisfy?
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The relation "r" satisfies all the properties of an equivalence relation: reflexivity, symmetry, and transitivity.
The relation "r" defined on the set of all movie actors and actresses, denoted as "t," states that two actors/actresses are related if they have appeared in the same movie together. This relation satisfies the properties of an equivalence relation, namely reflexivity, symmetry, and transitivity.
1. Reflexivity: For any actor/actress x in the set t, x is related to itself because every actor/actress appears in at least one movie, including their own. Therefore, the relation "r" is reflexive.
2. Symmetry: If actor/actress x is related to actor/actress y, it means they have appeared in the same movie together. Since the relation "r" is based on mutual appearances in movies, if x has appeared with y, then y has also appeared with x. Thus, the relation "r" is symmetric.
3. Transitivity: If actor/actress x is related to actor/actress y, and y is related to actor/actress z, it implies that there is a movie in which x, y, and z have all appeared together. As a result, x is related to z through the transitive property. Therefore, the relation "r" is transitive.
In conclusion, the relation "r" satisfies all the properties of an equivalence relation: reflexivity, symmetry, and transitivity.
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find the positive square root of 26.77
Answers
Answer:5.173973328
Step-by-step explanation:
Thus: 5.1739733 x 5.1739733 = 26.77
BlueRedLarge Small17 3812Find: P(Small and Blue)3[?Remember to reduce your answer.
Answers
The missing number refers to the sum of all the given numbers
\(17+8+3+12=40\)Therefore, the missing number is 40.The probability would be P = 3/40.
−7x−5=4x-29 What is the answer?
Answers
-11x-5=-29
-11x=-24
X= 2 and 2/11
on any given day, the probability that marco eats sushi for dinner is 20%. the probability that marco eats pizza for dinner is 20%. marco never eats both sushi with pizza. part a: can we say that these two events (eating pizza and eating sushi) are independent? fill in the blanks.
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We cannot say that the two events are independent since the probability of eating pizza and sushi together is not known. If the probability of eating both together is 0, then the events are mutually exclusive, and if the probability is greater than 0, then the events are dependent.
We cannot say that the events of Marco eating sushi and pizza are independent. Two events are independent if the occurrence of one does not affect the probability of the other. However, in this case, if Marco eats sushi for dinner, it reduces the probability that he will eat pizza for dinner since he never eats both together.
Similarly, if Marco eats pizza for dinner, it reduces the probability that he will eat sushi for dinner. Therefore, the events are not independent, and the occurrence of one event affects the probability of the other. In other words, the events are dependent.
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