Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.
Answers
Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
To find solutions for this equation, we can just choose values for x and then calculate the values of y.
So, for x = 1, we have:
4*1 - 3y = 1
3y = 3
y = 1
For x = 2, we have:
4*2 - 3y = 1
3y = 7
y = 2.333
For x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).
Check the image attached for the plot.
Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).
The graph is given at the end of this answer.
-----------------------------
The equation is:
[tex]4x - 3y = 1[/tex]
In slope-intercept formula, we have that:
[tex]3y = 4x - 1[/tex]
[tex]y = \frac{4}{3}x - \frac{1}{3}[/tex]
Thus, the solutions are given by the following pairs of points: [tex](x, \frac{4}{3}x - \frac{1}{3})[/tex]
-----------------------------
For x = 0, we have that [tex]y = \frac{4}{3}(0) - \frac{1}{3} = -\frac{1}{3} = -0.333[/tex], thus, one solution is (0, -0.333).
For x = 1, we have that [tex]y = \frac{4}{3}(1) - \frac{1}{3} = \frac{3}{3} = 1[/tex], thus, one solution is (1,1).
For x = 3, we have that [tex]y = \frac{4}{3}(3) - \frac{1}{3} = \frac{11}{3} = 3.667[/tex], thus, one solution is (3, 3.667).
These solutions are labeled on the graph given at the end of this answer.
A similar problem is given at https://brainly.com/question/16768849
Related Questions
800, 400, 200, ___, 50, 25
Answers
Answer:
100
Step-by-step explanation: It is 100 because they are dividing by 2 each time, so it is 100.
Answer:
100
Step-by-step explanation:
help plz help plz help plz help plz
Answers
Look at the attached picture
hope it will help you
good luck on your assignment...
Answer:
[tex]x = 15 \: \: degrees \\ x = 18 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Name the side of the triangle that is opposite angle A *
Captionless Image
AB
AC
BC
Answers
Answer:
BC
Step-by-step explanation:
because it is what it is
anyone got da answer xd?
Answers
Answer:
i say C
Step-by-step explanation:
pi is 3.14 so you have to find either 3.13 or 3.15
haaaaaaaaaaaaaaaaaaaaalllllllp plz
Answers
Answer:
square root of 166, 13, 14
Step-by-step explanation:
Question is in the image, it's due in tomorrow
Answers
Answer:
Since a and b are constant the answer is 6.5
Step-by-step explanation:
g(x) = 2x + 5
g(x) = y
y = 2x + 5
y - 5 = 2x
[tex]\frac{y-5}{2}[/tex] = x
[tex]g^{-1}[/tex](x) = [tex]\frac{x-5}{2}[/tex]
8 = h(1) and h(3) = 26
26 = a(3) + b
a = b
6.5 = 6.5
26 = 6.5(3) + 6.5
26 = 19.5 + 6.5
26 = 26
Justin rolled a number cube 48 times. The cube landed on the number six 2
4 times. Is the experimental probability greater than or less than the
theoretical probability? Explain.
Answers
Answer:
greater than
Step-by-step explanation:
half the times the cube was rolled it landed on six the theoretical probability is only eight, 48 > 8
When working in trigonometry, you typically measure angles in
Revolutions
Radians
Degrees
Arc Length
(100 points)
Answers
Answer:
When working in trigonometry, you typically measure angles in.....
RADIANS
Answer:
RADIANS!!!
Step-by-step explanation:
You are working at the fun fair and are in charge of buying prizes for your game. You know that the game has a 7/10 chance of winning. Suppose 300 people play. How many prizes should you purchase?
150 prizes
210 prizes
300 prizes
None of these
NEED HELPP
Answers
210. Please mark as brainliest!
MATH HELP PLEASE!!!
cecile packages snack mix at a health food store.
She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?
Answers
Answer: BRAINLIEST PLEASE
her supply has 18 pounds
Explanation:
Assume that the number of pounds in her supply is x.
We are given that:
She uses 1/3 x in salted mix and 2/9 x in unsalted mix.
This means that:
Total amount used = 1/3 x + 2/9 x = 5/9 x of her supply
Now, we are also given that:
She used 10 pounds of her supply.
This means that:
5/9 x = 10
5x = 9*10 = 90
x = 18 pounds
Hope this helps :)
The number of pounds of seeds in her supply is 18
Given:
let
her total supply = x
Supply of salted snack = 1/3x
Supply of unsalted snack = 2/9x
Total pounds of sunflower seed = 10
Total supply of sunflower seeds = salted snack + unsalted snack
10 = 1/3x + 2/9x
10 = (3x + 2x) / 9
10 = 5/9x
divide both sides by 5/9
x = 10 ÷ 5/9
x = 10 × 9/5
= (10 × 9) / 5
= 90/5
= 18
x = 18
Therefore, number of pounds of seeds in her supply is 18
Read more:
https://brainly.com/question/2261275
Square PQSR is inscribed in circle T. RS = 8_/2.
a. Find the length of the diameter of Circle T.
b. Find the Perimeter of PQSR.
c. Find the Circumference of Circle T.
Answers
Answer: Look at explanation, and hope it helps. Please mark as brainliest! Take care during these hard time.
Step-by-step explanation:
a.
A diagonal of a square inscribed in a circle is the diameter.
So, to find the diameter we know if we separate the square into two different 45-45-90 degree triangles where a and b is 8[tex]\sqrt{2}[/tex]. Use the 45-45-90 degree theorem shown in picture to find that the diagonal 8[tex]\sqrt{2}[/tex] times [tex]\sqrt{2}[/tex] equals 16.
So, the diagonal is 16, thus the diameter is 16.
b.
Multiply 8[tex]\sqrt{2}[/tex] times 4 to get 32[tex]\sqrt{2}[/tex] as the perimeter as there are 4 sides which are equal to RS
c.
The circumference of a circle is the diameter times [tex]\pi[/tex]. The diameter we know from a, which is 16. So, it is 16[tex]\pi[/tex]
decide whether the following situation is looking for the part, the percent, or the whole: 81 of 271 pages in a book
Answers
Answer:
the whole
Step-by-step explanation:
i may be wrong
sorry
Answer:
Definitely percent
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Simplify when it is possible.
10x2-y + x2 =
Answers
Answer:
11x2-y=
Step-by-step explanation:
well it's easy simplifying 10+1=11
An aircraft carrier left Port 35 traveling north five hours before a container ship. The container ship traveled in the opposite direction going 8 km/h faster than the aircraft carrier for seven hours after which time the ships were 303 km apart. What was the aircraft carrier's speed?
Answers
Answer:
21.75 km/h
Step-by-step explanation:
Let's call the aircraft carrier speed 'x', so the speed of the container ship is 'x+8'
The distance travelled can be found with the product of the speed and the time travelled: d = v * t
The aircraft carrier travelled five hours, so the distance travelled is:
d1 = x * 5 = 5x
Then, the container ship travelled seven hours, so the distance travelled is:
d2 = (x+8)*7 = 7x + 42
As they travelled in opposite directions, the distance between then is the sum of these distances, and it is equal 303 km, so we have that:
d1 + d2 = 303
5x + 7x + 42 = 303
12x = 261
x = 21.75 km/h
Answer:
The aircraft carrier's speed was 13 km/h
Step-by-step explanation:
The parameters given in the question are;
Time of departure of the aircraft carrier = 5 hours before the container ship
Speed of the container ship = 8 km/h faster than the aircraft carrier
Distance between the two ships after 7 hours = 303 km
Let the speed of the aircraft carrier be Z
∴ The speed of the container ship = Z + 8
Since the aircraft carrier left port 35 travelling North 5 hours earlier we have;
Total time of travel of the aircraft carrier at the time of measurement of the distance between the two ships = 5 + 7 = 12 hours
Therefore, since both ships are moving in opposite direction on the same line path, we have;
303 = 12×Z + 7 × (Z + 8) = 12·Z + 7·Z + 56
19·Z = 303 - 56 = 247
∴ Z = 247/19 = 13 km/h
Hence, the aircraft carrier's speed was 13 km/h.
Which of the following graphs corresponds to the function y = x+2 / x-3 ?
Graph A
Graph B
Graph C
Graph D
Answers
Answer:
It’s graph D
Step-by-step explanation:
I clicked B got it wrong and showed D as answer on edg
Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
Type the answer in the box below.
$
b. If the regular price of an item is x dollars, what is the discount price in dollars?
Type the correct expression in the box below.
$$
c. The discount price of a hat is $18. What is the regular price?
Type the answer in the box below.
$
Answers
Answer:
$14.40
Step-by-step explanation:
a. (18) (80%) = (18) (.80) = $14.40 is discount
b. (x)(.80)= discount price
c. 18/80% =$22.50 is regular price
Answer:
$14.40
Step-by-step explanation:
a. (18) (80%) = (18) (.80) = $14.40 is discount
b. (x)(.80)= discount price
c. 18/80% =$22.50 is regular price
What is the following quotient? StartFraction StartRoot 6 EndRoot + StartRoot 11 EndRoot Over StartRoot 5 EndRoot + StartRoot 3 EndRoot EndFraction StartFraction StartRoot 30 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot + StartRoot 33 EndRoot Over 8 EndFraction StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2 EndFraction Seventeen-eighths Negative five-halves
Answers
Answer:
StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2Step-by-step explanation:
Given the surdic equation as shown [tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} }\\[/tex]
To find the quotient, we will rationalize by multipying both numerator and denominator of the function by the conjugate of the denominator.
Given the denominator [tex]\sqrt{5}+\sqrt{3}[/tex], its conjugate will be [tex]\sqrt{5}-\sqrt{3}[/tex]
Multiplying through by [tex]\sqrt{5}-\sqrt{3}[/tex], we have;
[tex]= \frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} } * \frac{\sqrt{5}-\sqrt{3} }{\sqrt{5}-\sqrt{3} }\\[/tex]
[tex]= \frac{\sqrt{30}- \sqrt{18}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- \sqrt{9*2}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- 3\sqrt{2}+\sqrt{55}-\sqrt{33}}{2}[/tex]
The final expression gives the requires answer
Answer: B. square root 30- 3 root 2 plus square root 55- square root 33/ 2
Step-by-step explanation:
its right
If someone could help me with this, that would be great.
Answers
Answer:
B. The rate of change of item II is greater than the rate of change of them I
Suppose the equation of a line is 2x - 4y = - 8. Which coordinate pair represents the y-intercept?
es )
A)
(0, 2)
B)
(20)
(0,0)
D
(0, -2)
No
Answers
Answer:
A
Step-by-step explanation:
Helppppppppppppppppppp
Answers
Answer:
volume of empty space is 1307.245in
Step-by-step explanation:
I'm pretty sure this is right because I found the volume of the cube which came out to be 2744 and the volume of the sphere which came out to 1436.755 and subtracted them.
The diameter of a circle is 5 inch. Find the length of its radius.
Answers
Answer: The length of its radius is 2.5 inch.
Step-by-step explanation:
The radius is half the diameter so just divide the diameter by 2.
5/2= 2.5
Which is not a root of z3 + 8 = 0?
a. 2
b. -2
c. 1+1
d. 1-1-13
Please select the best answer from the choices provided
A
B
C
D
Answers
=================================================
Short explanation:
Plug z = 2 into the equation and you'll find that
z^3 + 8 = 2^3 + 8 = 8+8 = 16
but the result should be 0 since the original equation has 0 on the right side. Therefore, z = 2 is not a solution.
------------------------------------
Longer explanation:
Solve the equation for z to find the three roots.
z^3 + 8 = 0
(z+2)(z^2 - 2z + 4) = 0 ... sum of cubes factoring rule
z+2 = 0 or z^2 - 2z + 4 = 0
z = -2 or z^2 - 2z + 4 = 0
We see that z = -2 is one root. To find the other two roots, use the quadratic formula to solve z^2 - 2z + 4 = 0 for z
[tex]z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-(-2)\pm\sqrt{(-2)^2-4(1)(4)}}{2(1)}\\\\z = \frac{2\pm\sqrt{-12}}{2}\\\\z = \frac{2\pm\sqrt{-1*4*3}}{2}\\\\z = \frac{2\pm\sqrt{-1}*\sqrt{4}*\sqrt{3}}{2}\\\\z = \frac{2\pm i*2*\sqrt{3}}{2}\\\\z = \frac{2\pm 2i*\sqrt{3}}{2}\\\\z = \frac{2(1\pm i*\sqrt{3})}{2}\\\\z = 1\pm i\sqrt{3}\\\\z = 1+ i\sqrt{3} \ \text{ or } \ z = 1- i\sqrt{3}\\\\[/tex]
Therefore, the three roots of z^3+8=0 are [tex]z = -2, \ z = 1+i\sqrt{3}, \ z=1-i\sqrt{3}[/tex]
The value z = 2 is not part of the list of solutions.
We can verify each solution by plugging it back into the original equation. For instance, with z = -2, we get
z^3 + 8 = 0
(-2)^3+8 = 0
-8+8 = 0
0 = 0 ... solution is confirmed.
I'll let you check the other solutions.
hurry will give brainliest!!
Answers
Answer:
B and D
Step-by-step explanation:
Ryan drove 180 miles in 5 hours. If he continued at the same rate, how far would he travel in 7 hours?
Please answer! Thanks.
Answers
Answer:
180/5*7=252 Miles
Step-by-step explanation: the mile in one hour equal 180/5=36 mile/hour
the miles in 7 hours = 36 *7 = 252 miles
first right answer gets 10 points
Answers
Answer:
Base: 16 cm
Height: 48 cm
Step-by-step explanation:
Let's call the length of the base b, and the length of the height h. Since the formula for the area of a triangle is bh/2, you can set up the following equations:
[tex]h=3b\\\dfrac{bh}{2}=384\\ \dfrac{b(3b)}{2}=384\\\dfrac{3b^2}{2}=384\\3b^2=768\\b^2=256\\b=16\\h=16\cdot 3=48[/tex]
Hope this helps!
please help me with this
Answers
Answer:
1,875 cm³
Step-by-step explanation:
first find the volume of the large rectangular prism, which is 2,000 cm³
Then find the volume of the small rectangle, which is 125 cm³
now subtract 125 from 2,000
which equals = 1,875
Supplementery Angle (2x+30)+(2x-10)=180
Answers
Answer:
x=50
Step-by-step explanation:
Simplifying
x = 50
How is triangle abc moved ?
Answers
Answer:
3 right and 5 down
Step-by-step explanation:
3 right and 5 down hope it helps
IM GIVING 20 POINTS. help me please. it would be very helpful
Answers
you said you will give use 20 points but it is marked as 5 Points.
What percentage of customers choose vanilla ice cream?
A. 32.5%
B. 45%
C. 36%
D. 58%
Answers
Answer:
45%
Step-by-step explanation:
100%=36+26+18= 80 36/80 as a fraction is 45%