Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < 1/3x + 2
y > 1/3x + 2
Answers
Answer:
y > 3x + 2
Step-by-step explanation:
Find gradient using given points:
m = gradient
Formula:
m = Δy/Δx
m = 9/3 = 3
So, equation of line will be:
y = 3x + a
a is 2 as the point (0, 2) is on the line, 2 units above origin point
The options remaining are:
y > 3x + 2 and y < 3x + 2
Consider any point in the shaded region and compare the y-value of that point with the y-value at the same value of x along the line, e.g. (0, 3) is within the shaded region, the y-value of the line at x = 0 is 2, i.e. the coordinates are (0, 2)
3 > 2 ∴ the correct inequality is y > 3x + 2
Related Questions
2+2^2 divided by 4+3
Answers
Answer: 6
Step-by-step explanation: 2^2=4
4/4=1 1+2+3=6
What do i do please help me
Answers
Answer: N times 3 plus 10
Step-by-step explanation:
George makes $20 doing lawn work for 4 hours each
week. He wants to buy a $2,500 used car from his
grandmother. He has been saving this money for
30 weeks. How much has he saved?
Answers
Answer:
$600
Step-by-step explanation:
1 week = $20
30 weeks = 20 x 30 = $ 600
The saving of 30 weeks would be an amount of 600 dollars.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
George makes $20 doing lawn work for 4 hours each week.
He has been saving this money for 30 weeks
The saving of one week = $20
The saving of 30 weeks = $20 × 30
Apply the multiplication operation to get
The saving of 30 weeks = $600
Alternative method :
According to the given situation, we can write a ratio as
one week : 20 dollars = 30 weeks : x dollars
⇒ 1 / 20 = 30 / x
Apply the cross-multiplication operation,
⇒ 1 × x = 30 × 20
Apply the multiplication operation to get
⇒ x = 600
Hence, the saving of 30 weeks would be an amount of 600 dollars.
Learn more about Multiplication operations here:
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−6x+4+5x=2
what does x equal
Answers
Answer:
-2
Step-by-step explanation:
-6x+4+5x=2
-1x=2-4
-1x=-2
x= -2/1
x=-2
Find the value of x in the triangle shown below
Answers
Answer:
x = 62
Step-by-step explanation:
The triangle is isosceles. That means two sides are equal. The angles opposite those equal sides are also equal.
Every triangle has 180 degrees.
The unmarked angle is also x.
x + x + 56 = 180 Combine the left
2x + 56 = 180 Subtract 56 from both sides
2x = 180 - 56
2x = 124 Divide by 2
2x/2 = 124/2
x = 62
Calculate the average the speed of a plane that travels 1,000 miles in 2.5 hours
Answers
Answer:
400 mph
Step-by-step explanation:
1000 / 2.5 = 400
Can anyone please answer this?
Answers
Answer:
y=1/4x+9
Step-by-step explanation:
Answer:
The picture is black.
Step-by-step explanation:
Reupload and I'll try to answer
Write – 19 7/10 as a decimal number.
Answers
Answer:
I looked it up
Step-by-step explanation:
So the answer is that 19 7/10 as a decimal is 19.7.
What is the equation of the line that has a slope of - 3 and a y-intercept of 2?
Answers
Answer:
y = -3x + 2
Step-by-step explanation:
We will use the form y = mx + b
m is the slope
b is the y intercept
y = -3x +2
The sum of two numbers is 13 and the difference is 5.
Whats the answer?
Answers
Answer: the first number is 9, the second is 4
Step-by-step explanation:
let n = 1st number
let n-5 = 2nd number
n+(n-5)=13
collect like terms: 2n-5=13
add 5 to both sides
2n=18
divide both sides by 2
n=9
n-5=4
Which of the following is a polynomial?
Ox2 + 2
01-1
7x7 - 2x-4 + 3
0 (x8–2)
(x-2+3)
Answers
Answer:
x^2 + 2
Step-by-step explanation:
can't have negative powers
Answer:
I think it's 7x7 - 2x-4 + 3
Please help, What is the slope of the line???
Answers
Answer:
Step-by-step explanation:
The slope is calculated using rise over run, or y2-x2/y1-x1
The clear coordinates are (-3, 2) and (1,4).
Let 4 be y2, 1 be x2, 2 be y1 and -3 be x1.
4-1/2--3 (2+3)
the slope is 3/5
The polygons are similar Find the value of x
Answers
Answer:
The value of the x variable is 30.
Step-by-step explanation:
Since the triangles are similar, the corresponding sides of both triangles have a common ratio. The 18:12 ratio of side LK and QR is equal to 2:3, and the 21:14 ratio of sides JL and PQ is also equal to 2:3. Based on this, we know that 2/3 * x = 20, so we isolate the x variable by dividing both sides of the equation by 2/3 to get the answer: x = 30.
Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week?
A.
f(w) = 3,250(3)w
B.
f(w) = 3,250(1.03)w
C.
f(w) = 3,250(0.03)w
D.
f(w) = 3,250(0.97)w
Answers
Answer:
Step-by-step explanation:
3,250(3)w
B.
f(w) = 3,250(1.03)w
C.
f(w) = 3,250(0.03)w
D.
f(w) = 3,250(0.97)w
1) Find the value of 1 + 3x when x = 1
Answers
Answer:
4
Step-by-step explanation:
So, since we already know x = 1, we just need to figure out what 3 x 1 is. (Since there's no space between the 3 and the x, 3x would be 3 times x.)
3 x 1 = 3.
So, our "new equation" is:
1 + 3
Add them together to find the answer:
1 + 3 = 4
4 is your answer.
Hope this helps and have a nice day!
Identify the center and radius of the circle (x+2)^2 + (y-3)^2 = 9
Answers
Answer:
(-2,3)
Step-by-step explanation:
Dont get fooled by the whole equation given to you the main part you should be looking at is (x+2) and (y-3) this gives you the answer for the x coordinate and y coordinate.
x+2 = 0
x = -2
y-3 = 0
y = 3
So now you have both coordinates x and y which is (-2,3)
:))
Please helppp for brainly
Answers
Answer:
1.3 < x < 37.7
Step-by-step explanation:
Given 2 sides of a triangle then the 3rd side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
19.5 - 18.2 < x < 19.5 + 18.2 , then
1.3 < x < 37.7
next numbers of the pattern
1,2,3,5,8,13,__and__
Answers
Answer:
21 and 34
Step-by-step explanation:
This is a Fibonacci sequence. Basically, the next term is the sum of the 2 previous terms.
Notice the third term, it's the sum of 2 and 1.
Notice the fourth term, it's the sum of 3 and 2.
Each term follows the same pattern.
i need help with this thanks :)
Answers
Answer:
9 < x < 21
Step-by-step explanation:
Given 2 sides of a triangle then the 3rd side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
15 - 6 < x < 15 + 6 , so
9 < x < 21
Type the missing digit below
4_3,302 is divisible by 9.
Answers
Answer:
463,302 is divisible by 9
Step-by-step explanation:
technically they're all divisible by said digit but when you put 6 it's the only one with a product of a whole number. hope this helps.
It takes 3 km of the red to make five boxes of shirts how many kilometers of thread will it take to make three boxes
Answers
The following points lies on a Given line (10,0) and (0,-15) who’ve of the following points will also Be on the given line
(10,5) b(-3-15) c (1,-13.5). D(12,5)
Answers
Answer:
Step-by-step explanation:
We can form an equation from the two given points.
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (10,0) and (0,-15). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (0,-15) and ending at (10,0):
Rise = (0-(-15)) = +15
Run = (10-0) = 10
Rise/Run (slope) = 15/10 or 1.5
The equation becomes y = (1.5)x + b
We know b, since it is the value of y when x=0. The point (0,-15) says -15 when x=0. You can also can find b by entering either of the two given points and solving for b. I'll pick (10,0):
y = (1.5)x + b
(0) = (1.5)*(10) + b
0 = 15 + b
b = -15
The equation is y = (1.5)x - 15
Check this with a DESMOS graph (attached).
9.3 divided by 0.8 I need to show my work
Answers
Answer:
11.625
Step-by-step explanation:
1. Abby did 121 sit-ups in 8 minutes. Estimate
the number of sit-ups she
1 minute.
Answers
Answer:
15 sit-ups
Step-by-step explanation:
15.125 --> 15
Find the output, y when the input, x, is 2
Answers
Answer:
-2
Step-by-step explanation:
pls help its just a model question
Answers
Answer:
H is true because 3 times 2 is 6 +3 times x is 3x
Please find the attached photograph.
We can infer that the option H. is correct.
Hope it helps.
Do comment if you have any query.
The area of the regular hexagon is 10. 4 in. 2. A regular hexagon has side lengths of 2 inches and an area of 10. 4 inches squared. An apothem is shown. What is the measure of the apothem, rounded to the nearest tenth of an inch? 1. 3 in. 1. 7 in. 2. 0 in. 3. 4 in.
Answers
Answer:
Step-by-step explanation:
Answer:
1.7
Step-by-step explanation:
Given:
Area of polygon=10.4
sides of polygon=2
Formula for area of a regular polygon= 1/2 (apothem x perimeter )
Putting value, we get
10.4= 1/2 ( a x 12 )
10.4=6a
a=10.4/6
a=1.73
Answer:
Step-by-step explanation:
1.7Step-by-step explanation:Given:Area of polygon=10.4 sides of polygon=2 Formula for ...
The ratio of elephants to tigers at the local zoo is 1:4. There are 20 elephants at the zoo. How many tigers are there?
Answers
Answer:
Ans : 80 tigers
Step-by-step explanation:
1:4
20 elephant : 80 tigers
Let the no. of tigers be x
a/q,
1 : 4 :: 20 : x
→ 1x = 4 × 20
→ x = 80
hence, no of tigers = 80
What is reciprocal of the fraction in the equation 3/5(2x+8)=18?
Answers
Answer:
5/3
Step-by-step explanation:
The reciprocal is the fraction upside down.
Nayeli is saving up to buy a new video game she already has $15 and can save an additional five dollars per week using money from afterschool job how much total money would Nayeli have after six weeks of saving also write expression that represents the amount of money Nayeli would have saved in W weeks
Answers
Answer:
5w + 15
$45
Step-by-step explanation:
(6)*(5) + 15 = $45
The amount of money Nayeli would have saved in W weeks is given by the equation A = 5W + 15
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
After one week of saving, Nayeli will have:
$15 + $5 = $20
After two weeks of saving, Nayeli will have:
$20 + $5 = $25
Continuing this pattern, we can find that after six weeks of saving, Nayeli will have:
$15 + 6($5) = $45
So, after six weeks of saving, Nayeli will have $45.
Amount saved = starting amount + (amount saved per week) × (number of weeks)
Amount saved = $15 + ($5)W be equation (1)
So, the expression that represents the amount of money Nayeli would have saved in W weeks is
A = $15 + ($5) W
Hence , the equation is A = 5W + 15
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