Which inequality is represented by the graph?
y>−32x−2
y≥−32x−2
y≤−32x−2
y<−32x−2
Answers
Answer:
Correct answer: y>-32x-2
The required equation of inequality is y > - 3/2 x + 2.
We have given a graph of inequality for finding their equation.
What is inequality?
Inequality is a statement of an order relationship for greater than, greater than or equal to, less than, or less than or equal to, between two numbers or algebraic expressions.
From graph we can see that the line is passing through the points (0,-2) and (-4,4).
Since we know that the slope of a graph,
[tex]m = (y_2 - y_1)/(x_2 - x_1 )[/tex]
=[tex](4 - (-2))/(-4 - 0)[/tex]
⇒[tex]m = (-3)/( 2)[/tex]
Also we know the equation of line passing through the point (x_(1,) y_1) having slope be,
[tex]y - y_1 = m (x - x_1)[/tex]
Therefore, the equation of line passing through (0, -2) and having slope -3/2 be,
⇒ y - (-2) = - 3/2 x
⇒ y = - 3/2 x + 2
Since the graph is shaded left side to the line so, this equation can be written as
y > - 3/2 x + 2
Thus, this is the required equation of inequality.
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Related Questions
Jorge has 24 ounces of baking powder to use for baking loaves of bread. if each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?
Answers
Answer:
96 loaves of bread
Step-by-step explanation:
Total baking powder = 24 ounces
Baking powder used per loaf of bread = 1/4 of an ounce
loaves of bread will Jorge be able to bake = Total baking powder / Baking powder used per loaf of bread
= 24 ÷ 1/4
= 24 × 4/1
= 96 loaves of bread
loaves of bread will Jorge be able to bake = 96 loaves of bread
the points (3,48) and 5,768) lie on the graph of an exponential function. write the equation in exponential form. Must explain or I'll report! answer asap!
Answers
Answer:
y = 3/4*4ˣStep-by-step explanation:
The function is:
y = abˣSubstitute the values from the given points and solve for b:
48 = ab³768 = ab⁵Divide the second equation by the first one:
768/48 = ab⁵/ab³b² = 16b = 4Find a using the first equation:
48 = a*4³a = 48/64a = 3/4The function is:
y = 3/4*4ˣWhat is the positive solution to this equation?
4x²+12x=135
Answers
Answer:
4.5
Step-by-step explanation:
Please help me ASAP I need this done please! (Giving brainliest)
Answers
Answer:
Step-by-step explanation:
a 2x-2+6x+10=120
b x=14
c l=47 w=13
-2(x+1)+4x<-10 what’s the solution
Answers
Equation/Question:
-2(x+1)+4x<-10 What’s the solution?
Answer/Way I did it:
1. Expand.
-2x-2+4x<-10
2. Simplify -2x-2+4x to 2x-2.
2x-2<-10
3. Add 2 to both sides.
2x<-10+2
4. Simplify -10+2 to −8.
2x<-8
5. Divide both sides by 2.
x<-8/2
6. Simplify 8/2 to 4.
x<−4
Done by NeighborhoodDealer
Ill give brainliest,
The fastest train on Earth, the TGV from France can travel at faster speeds than most any other train. During a test, the train travel 800 miles in 2.5 hours. What is its speed?
Answers
Answer:
The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.
Step-by-step explanation:
The speed of the train is 320 miles per hour.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values is given using this formula.
We have,
The speed of the TGV train can be calculated using the formula:
Speed = distance/time
where distance is given in miles and time is given in hours.
In this case,
The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.
Substituting these values into the formula, we get:
Speed = 800 miles / 2.5 hours
Simplifying the expression on the right-hand side, we get.
Speed = 320 miles per hour
Therefore,
The speed is 320 miles per hour.
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PLEASEE I WANNA PASS PLEASE HELP!!!!
Which of the following functions represents f(n), the number of small squares in figure n?
A. f(n) = (n + 1)^2 – 1
B. f(n) = 2n^2 + 1
C. f(n) = n^2 – 1
D. f(n) = (n + 1)^2 + 1
Answers
Answer: i think its D or A.... :)
Step-by-step explanation:
A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answers
Answer:
72ft²
Step-by-step explanation:
A = ½ (12*12)
A = ½ * 144
A = 72ft²
There are 780 registered voters in Cloud County. In the last election, 40% of the registered voters actually voted. How many people in Cloud County voted in the last election?
Answers
pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Answers
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5
Answers
Answer:
d
Step-by-step explanation:
Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points
Answers
Given:
Jake bought 3 drawing pens for $8.07.
Each pen costs the same amount.
To find:
How much did he spend for one pen?
Solution:
Let x be the cost of each pen. Then
Cost of three pens = 3x
Jake bought 3 drawing pens for $8.07.
[tex]3x=8.07[/tex]
Divide both sides by 3.
[tex]x=\dfrac{8.07}{3}[/tex]
[tex]x=2.69[/tex]
Therefore, he spend $2.69 for one pen.
To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain
To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.
Answers
Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet
Step-by-step explanation:
Suppose you are facing north, each time you turn, you are going to turn 90 degrees. If you turn 2 times to the right, 1 time to the left, 3 times to the right, 2 times to the right, and 1 time to the left, which way are you now facing?
Answers
Answer:
East
Step-by-step explanation:
Starting position = North
Condition = each time you turn, you are going to turn 90 degrees
Using the image attached as a guide;
If you turn 2 times to the right
- Turning the first time to the right changes the direction to East
- Turning the second time to the right changes the direction to South
1 time to the left
- Turning once to the left changes the direction to East
3 times to the right
- Turning the first time to the right changes the direction to South
- Turning the second time to the right changes the direction to West
- Turning the second time to the right changes the direction to North
2 times to the right
- Turning the first time to the right changes the direction to East
- Turning the second time to the right changes the direction to South
1 time to the left
- Turning once to the left changes the direction to East
3 3/4 yd = how many feet please help it has to be a fraction
Answers
Hope this Helps!
The equations 3x-2y=-14 and 3x+y=-11 are plotted on the same set of axes. what are the coordinates of a point that's common to both equations? how do you know?
Answers
Answer:
14
Step-by-step explanation:
Answer:
(-4, 1)
Step-by-step explanation:
Solve it as a system of equations:
[tex]3x-2y=-14\\3x+y=-11[/tex]
subtract the two equations
[tex]-3y = -3[/tex]
divide both sides by -3
[tex]y=1[/tex]
Plug this into the equation 3x + y = -11 to solve for x
[tex]3x + 1 = -11\\[/tex]
subtract 1 from both sides
[tex]3x = -12[/tex]
divide both sides by 3
[tex]x = -4[/tex]
So the answer is (-4, 1)
A construction company is fencing the triangular plot shown. 50 it What is the exact length of fencing that the company will need?
A.50 + 50√2 Ft
B.100 + 50√2ft
C .50√2 ft
D. 150√2 ft
Answers
Answer:
b
Step-by-step explanation:
the awnser was c for me on my test but i guess it and got it right.
55% of what number is 33%?
Answers
Answer:
33% is 55% of 0.6
Step-by-step explanation:
yUH
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the
exponential equation?
Answers
Sorry for tje late answer but it is 150 * 0.08^x
The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
What is depreciation?Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,
[tex]A = P(1-\dfrac{r}{100})^t[/tex]
where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.
We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,
[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]
Hence, the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
Learn more about Depreciation:
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Calculate angle y
Can somebody work this out?
Answers
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:
(Choice A)
A
25 6425⋅6425, dot, 64
(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25
⋅64start fraction, 25, divided by, 100, end fraction, dot, 64
(Choice C)
C
0.25\cdot 640.25⋅640, point, 25, dot, 64
(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25
64, divided by, start fraction, 25, divided by, 100, end fraction
(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64
Answers
Answer: 96/100⋅25 and 0.96⋅25
Step-by-step explanation: i did it on khan academy :D
Answer:
choice A
choice c
Step-by-step explanation:
24-10x=9
What does x equal to?
Answers
the school nurse is packing first aid kits. the ratio of bandages to gloves is 9:2. if she has 48 gloves, how many bandages will she need to make it complete kits
A. 216
B. 11
C. 3
D.96
Answers
Answer:
A
Step-by-step explanation:
48*9 =432
432/2=216
Pls help! I think this is do today.
Answers
Donovan has 5 times as many red fish as he does blue fish and half as many gray fish as blue fish. How many total fish (F) does Donovan hav
Answers
c/- 4 = 16
please help
Answers
Multiple the equation by -4
Workout 2/7+1/5 and then simplyfy it
Answers
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
Math club has 18 members. Each member pays
$16.40 each month. 11 members have already
paid. How much money needs to be collected?
Answers
$114.80
Step by step explanation
Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answers
Answer:
$348.82
Step-by-step explanation:
240 +86=326
326× 7%= 22.82
326+22.82= $348.82
Answer:
$348.82
Step-by-step explanation:
If you have a jumbo pack of gum and 4 friends ask for 8 How much gum do you have left?
(random questions)
Answers
Answer:
5
Step-by-step explanation:
37 - 4(8)
37 - 32
5
Hope this helps! May I please have brainliest? :)
Answer:
solution given:
total pack of gum=x gums
If 4 friends ask for 8=8×4gum= 32gums
Remaining gums=x-32gums