Answers
Answer:
The required graph is shown below.
Step-by-step explanation:
The given equation is
[tex]4x-3y=12[/tex]
To draw the graph we need at least two points which satisfy the given equation.
At x=0,
[tex]4(0)-3y=12[/tex]
[tex]-3y=12[/tex]
[tex]y=\dfrac{12}{-3}[/tex]
[tex]y=-4[/tex]
At y=0,
[tex]4x-3(0)=12[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.
The required graph is shown below.
Related Questions
Can someone please help me with this question
Answers
Answer:
x° = 62
Step-by-step explanation:
The vertical angle to 28 degrees is 28 degrees in size.
The vertical angle to 90 degrees is 90 degrees in size.
Angles in a circle add up to 360 degrees.
x + 28 + 152 + 28 + 90 = 360
x + 298 = 360
x = 360 - 298
x = 62
Angle x is 62 degrees in size.
what is 8 1/2 rounded to the nearest half? (HELP I NEED ANSWER NOW)
Answers
Answer:
8 1/2
Step-by-step explanation:
It is already rounded to the nearest half.
11/6 - 12/7 = a 13/21 -37/42 -1/168 5/42
Answers
Answer:
5/42
Step-by-step explanation:
11/6 - 12/7
Make denominators equal.
77/42 - 72/42
Subtract the fractions.
5/42
Please help me 4x-8=16
Answers
Answer:
6
Step-by-step explanation:
4x-8=16
4x=16+8
4x=24
x=24÷4
x=6
WILL GIVE BRAINLIEST AND 25 POINTS! Find the value of x and y, given the following matrix equation: x= y=
Answers
Answer:
x = ±6
y = 10
Step-by-step explanation:
Solve for the top part.
x² + -4 = 32
x² = 32 + 4
x² = 36
x = √36
x = ±6
Solve for bottom part.
y + y - 4 = y + 6
2y - 4 = y + 6
2y - y = 6 + 4
1y = 10
By solving the upper part and the lower part of the matrix equation, the value of x and y are:
[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]
The given matrix equation can be solved by taking the upperpart to create an equation to solve for x, and also taking the lower part to create an equation to solve for y.
Thus:[tex]x^2 + (-4) = 32[/tex] (upper part)
[tex]y + y - 4 = y + 6[/tex] (lower part)
Solve each of the equation in the matrix.
Solve the upper part for x:
[tex]x^2 + (-4) = 32\\\\x^2 - 4 = 32[/tex]
Add 4 to both sides[tex]x^2 - 4 + 4 = 32 + 4\\\\x^2 = 36[/tex]
Take the square of both sides[tex]x = \sqrt{36} \\\\\mathbf{x = \pm6}[/tex]
Solve the lower part for y:
[tex]y + y - 4 = y + 6\\\\[/tex]
Add like terms[tex]y + y - 4 = y + 6\\\\2y - 4 = y + 6\\\\2y - y = 4 + 6\\\\\mathbf{y = 10}[/tex]
Thus, by solving the upper part and the lower part of the matrix equation, the value of x and y are:
[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]
Learn more here:
https://brainly.com/question/13694076
PLZ HELP, NEED ASAP Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answers
Answer:
Krista put 0.40 in the first equation meant for the number of stamps.
Step-by-step explanation:
Krista's equation
0.40x+y=45
x+0.55y=18.75
The system of Equation should have been
x + y = 45 (1)
0.40x + 0.55y = 18.75 (2)
From (1)
x=45-y
Substitute x=45-y into (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
Substitute y=5 into (1)
x + y = 45
x+5=45
x=45-5
x=40
This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.
Krista's error:
Krista put 0.40 in the first equation meant for the number of stamps.
Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.
Step-by-step explanation:
Edge 2020.
If 3 ice cream cones multiplied is equal to 27, 2 ice cream cones with one scoop of vanilla are equal to 10, 1 ice cream with 2 scoops of vanilla and 1 ice cream with one scoop of strawberry is equal to 11, 1 ice cream with one scoop of vanilla and 1 cone and 1 ice cream with 2 scoops of strawberry and one scoop of vanilla is equal to 15, then what is the value of.... 1 cone 1 vanilla scoop 1 strawberry scoop *Please Try To Give The Solution ASAP*
Answers
Answer:
each cone=3
each scoop of vanilla=2
each scoop of strawberry=1
so:
1 cone 1 vanilla scoop 1 strawberry scoop=6
CANT seem to find the answer
Answers
Answer:
A) Point C
B) Point E
Step-by-step explanation:
There are 3 vowels in the word square, and there are six total letters in the word square.
Square
There is a half chance of picking a letter that is a vowel in the word "square". (Three is half of six.)
Point C would be the most accurate spot for question 'a'.
The word square does not have a 'T'. It is certain that a letter that is not 'T' would be picked.
Point E would be the most accurate spot for question 'b'.
Answer:
a) c b) e
Step-by-step explanation:
There are 3 vowels out of 6 total cards, and c lands at 3/6->1/2.
There is no letter T, so it is a 1/1 chance of not getting a T. E lands at 1.
You're welcome.
the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answers
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
-2/3 divided by 3 1/4
Answers
Hey there! :)
Answer:
-8/27.
Step-by-step explanation:
Begin by converting 2 1/4 to an improper fraction:
2 1/4 --> [tex]\frac{9}{4}[/tex]
Divide fractions by multiplying by reciprocal:
[tex]\frac{-2}{3}* \frac{4}{9} = \frac{-2*4}{3*9} = \frac{-8}{27}[/tex]
Therefore, -2/3 divided by 3 1/4 = -8/27.
Answer:
- 8/27
Step-by-step explanation:
-2/3 ÷ 2 1/4= - 2/3 ÷ 9/4 = -2/3 × 4/9 = - 2×4/3×9= - 8/27
A sector whose central angle measures 1200 has an area of 12 square inches. What
is the radius of the circle?
Answers
This question is not correctly written
Correct Question
A sector whose central angle measures 120° has an area of 12 square inches. What is the radius of the circle?
Answer:
Radius of the circle = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
Step-by-step explanation:
The formula for the area of a sector is given as:
Area of a sector = θ × π/360 × r²
θ = Central angle in degrees = 120°
Area of a sector = 12 in²
12 = (120° × π)/360 × r²
r² = 12 ÷(120° × π)/360
r² = 12 ÷ 1.0471975512
r² = 11.459178217
r = √11.459178217
r = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
Find the focus and the directrix of the parabola with the equation y = 1∕4(x – 6)2+ 5
Question 16 options:
A)
Focus = (5,–6), directrix is y = –7
B)
Focus = (6,6), directrix is y = 4
C)
Focus = (6,–6), directrix is y = –4
D)
Focus = (–5,6), directrix is y = –4
Answers
Answer:
B)
Focus = (6,6), directrix is y = 4
Step-by-step explanation:
A parabola is the locus of a point that is equidistant from a fixed line (known as directrix) and a fixed point (known as focus).
The equation of a parabola in vertex form is given as:
[tex]y=a(x-h)^2+k[/tex]
It can be further simplified to:
[tex](x-h)^2=4p(y-k)[/tex]
The directrix of this parabola is given at line y = k - p and the focus is at (h, k + p)
Given that:
[tex]y = \frac{1}{4}(x-6)^2+ 5 \\(y-5)=\frac{1}{4}(x-6)^2\\(x-6)^2=4(y-5)[/tex]
Comparing (x-6)² = 4(y-5) with (x-h)² = 4p(y-k), It can be gotten that h = 6, p =1 and k = 5
The directrix of this parabola is given at line y = k - p = 5 - 1 = 4 and the focus is at (h, k + p) = (6, 5+1) = (6, 6)
Focus = (6,6), directrix is y = 4
What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answers
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm. Give the area in your explanation.
Answers
Answer:
[tex]S=6600\pi \text{ mm}^2[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
Step-by-step explanation:
A can of fruit is geometrically a cylinder.
We are talking about the surface area of a cylinder:
[tex]S=2\pi rh+2\pi r^2[/tex]
[tex]\pi \approx 3.14[/tex]
[tex]r: \text{radius}[/tex]
[tex]h: \text{height}[/tex]
Factoring, we have:
[tex]S=2\pi r (h+r)[/tex]
Calculating the surface area of the can of fruit:
[tex]S=2\pi (30) (80+30)[/tex]
[tex]S=2\pi (30) (110)[/tex]
[tex]S=6600\pi[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
So you basically take your diameter and divide it by 2 to get your radius then input it within this formula
Determine the area of the given rhombus. ANSWERS: 140 square units 35 square units 70 square units 17.5 square units
Answers
Answer:
17.5
Step-by-step explanation:
A = [tex]\frac{pq}{2}[/tex]
p = 7
q = 5
7 x 5 = 35
35 ÷ 2 = 17.5
Answer:
The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!
Step-by-step explanation:
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answers
Answer: 125
Step-by-step explanation:
For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.
The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:
Therefore, no of possible numbers are: 5x5x5x1=125 numbers
The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4
Answers
Answer:
64
Step-by-step explanation:
4/7
16x7= 112
4x16=64
HELP SABRINA ;) ?!!!
Answers
Answer:
d) Vessels that are any length
Step-by-step explanation:
MSDs can be defined fully as Marine
Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.
It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.
There are three types of MSDs
a) Type I
b) Type II
c) Type III
Marine Sanitation Devices are classified into types based on
1) The length of the vessels in which that are installed on.
2. The method for treating or breaking down the waste materials in the devices.
In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.
This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.
These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.
First person that gave me the correct answer will get brainliest
Which set of ratios could be used to determine if one triangle is a dilation of the other?
A. 3.6/3 = 5.4/4.5 = 6/5
B. 3.6/3 = 4.5/5.4 = 6/5
C. 3/3.6 = 4.5/6 = 5/5.4
D. 3/4.5 = 3.6/5.4 = 5/6
Answers
Answer:
Answer A
Step-by-step explanation:
Answer A is correct. Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.
Identify the initial value and rate of change for the graph shown?
Answers
Answer:
The third option, or initial value:2, rate of change:1.
Step-by-step explanation:
The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.
Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.
let me know if your need further explanation!
Which of the following are monomials?
A. x11
B. 8x
C.5/7y3+5y2+y
D. x2 + 3
E. x4 + x2 +1
F. 6x2 +1/2y3
Answers
Answer:
A. x^11 and B. 8x.
Step-by-step explanation:
A monomial is a polynomial with just one term. That would be Options A and B.
Options C and E are trinomials.
Options D and F are binomials.
Hope this helps!
Answer:
A and B
Step-by-step explanation:
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answers
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.
5. Write the following numbers in scientific notation (powers of 10) 3 067 020 ____________________________________________________ __________________________________________________________________ B) 19.507 __________________________________________________________ __________________________________________________________________
Answers
Answer:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Step-by-step explanation:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Explain why no part of the graph[Image Displayed] appears below the x-axis?
[Graph Displayed]
a.
The y-value is always negative
c.
The y-value is always zero
b.
The y-value is always positive
d.
The y-value is always 10
Answers
Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!
Step-by-step explanation:
What is the interquartile range (IQR) of the data set below? (You have until 6:30 P.M. EST) (I don’t mind late answers, maximum being 6:35-6:40.)
Answers
Answer:
21.5
Step-by-step explanation:
Arrange numbers from smallest to largest:
56, 65, 69, 77, 79, 82, 88, 89, 90
The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.
56, 65, 69, 77, 79, 82, 88, 89, 90
(65+69)/2 = 67
(88+89)/2 = 88.5
The interquartile range:
88.5 - 67
= 21.5
attachment only answer no explanation please!
Answers
Answer:
p=(0,2) q=(0.5,0)
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
p= (0,2)
Q= (1/2,0) / (0.5,0)
PART B
use points in part a
PART C
y intercept =2
slope=4
use points (-2,10) (-1,6) (0,2) (1,-2) (2,-6)
i hope it’s correct <3
Pleaseee help meeeeeee!
Answers
Answer:
Irrational
Step-by-step explanation:
Irrational numbers have decimal expansions that neither terminate not repeatable
π = 3.1428.........
-4π =-12.5714..........
Answer:
D. Irrational
Step-by-step explanation:
First, let's calculate what -4π is.
-4π= -4*π= -12.5663706143....
Now, let's analyze the answer choices.
Whole numbers are the numbers 1,2,3,4,5...
Integers are like whole numbers, but negatives are also included.
Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.
Irrational numbers cannot be written as fractions, do not repeat and do not terminate.
-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.
Which of the following systems of equations is an example of one where substitution is the best method?
Answers
Answer:
option c is the correct ans .
because we can easily substitute the value of y in equn 2 to get value of x..
Answer:
To me, the third one is the best.
Note: y has been made subject of formula which makes it easy to substitute it into equation 2 and find x .
Step-by-step explanation:
What is the value of X in the equation..[tex]\frac{8}{5}x+5=-19[/tex]
PLS SHOW WORK!
Answers
Answer:
8/5x + 5 = -19
8/5x = -24 (Subtract 5)
x = -15 (Multiply by 5/8)
Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?
No, because for the 12 months in the year not all of the dates are represented.
Yes, because it is possible to get 100 random values in a simulation.
Yes, because all possible dates of the month would be represented.
No, because for the 12 months in the year each date is not equally likely.
Answers
Answer:
D) "No, because for the 12 months in the year each date is not equally likely."
Step-by-step explanation:
For example, february does not have 31 days as well as april so it would not be a fair representation.