10
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A system of linear equations is given by the tables. One of the tables is represented by the equation y=-3x + 7
X
у
х
y
0
5
-6
9
3
6
-3
8
6
7.
0
7
9
8
3
6
The equation that represents the other equation is y =
X+ .
The solution of the system is (
Reset
Next
Answers
Answer: The equation that represents the other equation is [tex]y=\dfrac{1}{3}x+5[/tex] .
The solution of the system is (3,6).
Step-by-step explanation:
Linear equation: [tex]y=mx+c[/tex] , where m= slope
c = y-intercept.
In the first table, the y-intercept = 5 [ y-intercept = value of y at x=0.
Slope for first table = [tex]\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{6-5}{3-0}=\dfrac{1}{3}[/tex]
The equation that represents the first table:
[tex]y=\dfrac{1}{3}x+5[/tex]
So, the equation that represents the other equation is [tex]y=\dfrac{1}{3}x+5[/tex] .
Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.
Here, x=3 and y=6 is the common value in both tables.
So, the solution of the system is (3,6).
The linear equation of the first table is y = 1 / 3 x + 5
The solution to the system of equation is (3, 6)
Point slope equation;y = mx + bwhere
m = slope
b = y-intercept
Therefore, y = - 1 /3 x + 7 is the equation for the second table.
The equation for the first table can be solved using (0, 5)(3, 6) from the table. Therefore,
m = 6 - 5 / 3 - 0 = 1 / 3
let's find b using (0, 5)
5 = 1 / 3(0) + b
b = 5
Therefore, the equation of the first table is as follows:
y = 1 / 3 x + 5The solution to the system of equation can be calculated as follows:
y + 1 /3 x = 7
y - 1 / 3 x = 5
2y = 12
y = 12 / 2
y = 6
6 - 1 / 3 x = 5
- 1 / 3 x = 5 - 6
- 1 / 3 x = - 1
x = 3
Therefore, the solution to the system of equation is (3, 6)
learn more on linear equation here: https://brainly.com/question/2263981?referrer=searchResults
Related Questions
PLEASE HELP ME! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)
Answers
Answer: B. He loses 1/5 of his points in the next crash
Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points
After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.
A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism
Answers
Answer:
48 cubes
Step-by-step explanation:
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism
Solution
Volume of a cube=b^3
Where,
b=side length of a cube
b=1/2 units
Volume of a cube=b^3
=(1/2)^3
=1/8 cubic units
Volume of the rectangular prism=6 cubic units
To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube
Number of cubes needed= Volume of the rectangular prism ÷ volume of a cube
=6 ÷ 1/8
=6 × 8/1
=48 cubes
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $ What is the y-value in the solution to this system of linear equations? 4x + 5y = −12 -2x + 3y = −16 −4 −2 2 5
Answers
Answer:
They both rented the bikes for 4 hours and paid $ 24.
Answer:$24
Step-by-step explanation:
trigonometry heeellllppp plzzzz
Answers
Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
Hurry help plz exam 05 :The following sphere has a diameter of 11 inches.
What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in^3
O 696.6 in^3
O 174.1 in^3
O 126.6 in^3
Answers
Answer:
696.6 in³
Step-by-step explanation:
The formula for the volume of a sphere is 4/3πr³
The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).
1. Set up the equation
4/3(3.14)(5.5³)
2. Solve
= 696.6 in³
Answer:
[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]
Step-by-step explanation:
Diameter = 11 inches
Radius = 5.5 inches
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 5.5 inches
Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]
Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]
Volume = [tex]\frac{2090.7}{3}[/tex]
Volume = 696.9 in.³
5. Use long division:
a. 483 ÷ 15
b. 907÷12
Answers
Answer:
Please look at the picture attached to see the long division.
a. 32 remainder 3
b. 75 remainder 7
Step-by-step explanation:
Answer:
Hey! The answer to your question will be below.
Step-by-step explanation:
Part A would be 32 R 3
And Part B would be 75 R 7
If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!
Hope this helps! :)
⭐️Have a wonderful day!⭐️
HELP!
Choose the slope and y-intercept that
correspond with the graph.
Answers
Answer:
The second answer
Step-by-step explanation:
Remember rise over run since this is a negative line go down 4 and over to the right 3. Now you found your slope which is -4/3. To find the y intercept simply look at the y axis and look at where the line passes through it
Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
Answers
Answer: A = (1m/3)^2 or A= (1/3)^2 m
Or A= (1/3)(1/3)
Step-by-step explanation:
No choices given, but it will look like one these answers.
The area of a square that has a side length of 1/3 meter is 1/9 square meter.
I hope this helps you.
Answer:
a= (1/3)(1/3)
Step-by-step explanation:
plzzzzz help meeee 10points!
Write as an algebraic expression: 6 less than the product of 4 and a number
Answers
Hi there! I know I'm a little late but, hopefully this helps!
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"6 less than the product of 4 and a number" means:
4 × n - 6
SOLVE EACH EQUATION BY TAKING SQUARE ROOTS. 1.) 3(x-5)^2=48 2.)2x^2-56=42
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
3(x - 5)² = 48 ( divide both sides by 3 )
(x - 5)² = 16 ( take the square root of both sides )
x - 5 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 5 to both sides )
x = 5 ± 4
Thus
x = 5 - 4 = 1
x = 5 + 4 = 9
Solutions are x = 1, x = 9
(2)
2x² - 56 = 42 ( add 56 to both sides )
2x² = 98 ( divide both sides by 2 )
x² = 49 ( take the square root of both sides )
x = ± [tex]\sqrt{49}[/tex] = ± 7
Solutions are x = - 7, x = 7
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answers
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
Examine the diagram of circle C. Points A, B, and Q are on circle C. Given that m∠ACB=52∘, what is the arc length of AQB⌢?
Answers
Hey there! :)
Answer:
Third choice: 13π/15 in.
Step-by-step explanation:
Begin by finding the circumference of the entire circle. Use the formula
C = 2rπ to solve:
C = 2(3)π
C = 6π.
Next, we can set up a proportion to find the arc length of AQB:
[tex]\frac{6\pi }{360}= \frac{x}{52}[/tex]
Cross multiply:
52 · 6π = 360 · x
312π = 360x
Divide both sides by 360:
312π/360 = 360x/360
x = 13π/15 in.
Answer:
The answer is 77n/15 inches :)
Step-by-step explanation:
why arent answers showing up for a ton of people right now?
Answers
What is the constant of proportionality in the equation y = 2.51?
constant of proportionality
Answers
Answer:
The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).
Step-by-step explanation:
might help
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answers
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?
Answers
Answer:
It's -3
Step-by-step explanation:
I got it right on Edge 2020
Give the digits in the tens place and the tenths place.
12.05
Answers
The digit in the tenths place is 0.
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
Answers
b) 315 is a multiple of 3, 5 and 9
c) 620 is a multiple of 2, 4, 5 and 10
d) 426 is a multiple of 2 and 3
Rules include:
Even numbers are divisible by 2.
If the sum of a number’s digits are divisible by 3, the number is divisible by 3.
Any number ending in 5 or 0 is divisible by 5.
Any number divisible by both 2 and 3 is divisible by 6.
If the sum of a number’s digits are divisible by 9, the number is divisible by 9.
If a number ends in 0, it is divisible by 10.
These figures are similar the area of one is give. Find the area of the other
Answers
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 units above the pole
Answers
Answer:
The equation in the polar form is;
[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex]
Step-by-step explanation:
e = 3/4 > 1, we have an hyperbola
The polar equation of a conic is of the form;
For vertical directrix
[tex]r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}[/tex]
For horizontal directrix
[tex]r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}[/tex]
Where;
k = Distance from the focus to the directrix = 2
We have;
[tex]r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]
[tex]r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]
Which gives the equation in the polar form as follows;
[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex].
A rectangular tank, 1 1/2m long and 1m wide,
contains water to a depth of 50 cm. How
many litres does it contain?
Answers
100 : 1
50 : x
x = 50/100
= 0.5 m
V = L x b x h
= 1.5 x 1 x 0.5
= 0.75 m^3
Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answers
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
factor the equation x2-2x-15=0
Answers
Answer:
(x + 3)(x - 5)
Step-by-step explanation:
Well to factor x^2-2x-15,
we need to find 2 numbers that multiply to get -15 and add to get -2.
3*-5 = -15
3x + -5x = -2x
x*x = x^2
Factored (x + 3)(x - 5)
Hope this helps :)
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
Step 1- Find 2 number that multiplies to be -15, but also add to be -2
This would be -5 and 3
-5 * 3 = -15
-5 + 3 = -2
Step 2- write the equation
The equation can be written 2 different ways
1st way- (x - 5)(x + 3)
2nd way- (x + 3)(x - 5)
How many solutions are there to the equation below?
7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1
Answers
Hi there! :)
Answer:
B. 0 solutions.
Step-by-step explanation:
Given the equation 7(x + 2) = 7x - 10
Simplify:
7(x + 2) = 7x - 10
Distribute the 7 with the terms inside of the parenthesis:
7x + 14 = 7x - 10
Subtract "7x" and 14 from both sides:
7x - 7x = -10 - 14
0 ≠ - 24. The equation has no solutions.
Answer:
[tex]\boxed{\sf B. \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 7(x + 2) = 7x-10[/tex]
Expand brackets.
[tex]\sf 7x+14 = 7x-10[/tex]
Subtract 7x and 14 from both sides.
[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]
[tex]\sf 0=-24[/tex]
There are 0 solutions.
What is function?write one example
Answers
A function is a relation between sets defined by a formation law. Examples:
[tex]F(x)=0[/tex]
[tex]F(x) =x[/tex]
[tex]F(x) = ax+b[/tex]
Sequences as Functions: Practice
Save and Exit
Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
Submit
Reset
Answers
Explanation:
To find the n term always replace n in the given equation with the term u need
Example:f(n) =2 . 6^(n-1)
Replace n =1 to find the first term
That will be f(1) = 2 . 6^(1-1) = 2 . 6^(0)
( as any number with power 0 is always 1) = 2 . 1= 2
Do the same for 2nd term by replacing n with 2 n so on
Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain percent
Answers
Answer:
His gain percent is 20%
Step-by-step explanation:
In this question, we want to find the percentage gain of the business.
We need the following parameters;
The cost price which is the sum of the amount she bought the goods + the amount spent on transport
Using the values we have in the question;
The cost price will be;
13,600 + 400 = Rs 14,000
The selling price = Rs 16,800
Mathematically the percentage gain will be;
% gain = (selling price- cost price)/selling price * 100%
% gain = (16,800-14,000)/14,000 * 100/1
% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answers
Answer:
B. y= -x^2 + 50x - 300
Step-by-step explanation:
Options given
A. y^2=4x^2 - 100
B. y= -x^2 + 50x - 300
C. x= -y^2 - 400
D. x^2= -6y^2 + 200
We are to find profits (y) function in thousands of dollars if the company sells x items.
We will use elimination method to eliminate the wrong options above in order to find the correct answer
Option A. y^2= 4x^2 - 100 is used to find the square of the profit function
Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function
Option C. x= -y^2 - 400 is for the calculation of the items x sold
Option D. x^2= -6y^2 + 200 is to find items x sold squared.
Since, we are required to find the profit (y) function, option A, C and D will be eliminated.
We are left with option B which is the correct answer to the question.
The weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2 + 50x - 300
Answer:
B.
Step-by-step explanation:
I just took the quiz on edge
find the prime factorization of 47
Answers
Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder.
The prime factorization of 47 is:
47 is a prime number.
The exponent of prime number 47 is 1.
Adding 1 to that exponent we get
(1 + 1) = 2.
Factors of 47: 1, 47.
Factor pairs: 47 = 1 x 47.
47 has no square factors that allow its square root to be simplified.
√47 ≈ 6.85565.
Hope this helps!!! :)
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. The standard error of the mean is
Answers
Answer: 2.
Step-by-step explanation:
Number of samples = 121
Average speed (sample mean) = 65mph
Population standard deviation = 22 mph
The standard error of the mean is:
Standard error of the mean(S.Em)
Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.
S.Em = standard deviation / √same size
S.Em = 22 / √121
S.Em = 22 / 11
S.Em = 2