The graph below shows the solution to an inequality
Which inequality matches this graph?
A. 2y−5 x
C. 2x−5 y
Answers
The inequality that matches the graph shown above is 2x - 5y ≤ 10. This inequality represents all the points on or below the boundary line of the graph. The line passes through the points (0, -2) and (5, 0) and has a slope of 2/5.
To verify this, we can select a point not on the line, like (0, 0), and substitute its coordinates into the inequality. We get: 2(0) - 5(0) ≤ 10, which simplifies to 0 ≤ 10. Since this is true, all the points on or below the line satisfy the inequality.
The given graph shows the shaded region below the line 2x - 5y = 10, and on the line itself.
To find the inequality that matches the graph, we can identify the slope and intercept of the line and write it in slope-intercept form, y = mx + b. The slope is found by dividing the change in y by the change in x between two points on the line.
Taking the two points (0, -2) and (5, 0), we get a slope of (0 - (-2))/(5 - 0) = 2/5.The y-intercept is where the line crosses the y-axis, which is the point (0, -2).
Using this information, we can write the line in slope-intercept form as y = (2/5)x - 2. The inequality that matches the graph is the one that includes all the points on or below this line. Since the line itself is included, we use the less than or equal to sign, giving us the inequality 2x - 5y ≤ 10.
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Related Questions
The polynomial x2+ 3x - 1 is a factor of x3 + 2x2 - 5x-6 true or false
Answers
Answer:
it's false
Step-by-step explanation:
I hope it helps
Which equation represents a line parallel to 3x − 8y = 12?
Answers
Slope-intercept form: y = mx + b
Solving:
3x - 8y = 12
-8y = -3x + 12
y = 3/8x - 1 1/2
The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given equation,
3x − 8y = 12
3x - 12 = 8y
y = (3/8)x - 12/8
By comparing y = mx + c
Slope m = 3/8
The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.
Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".
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The complete question is below,
Which equation represents a line parallel to 3x-8y=12
A. y=3/8x-4
B. y=-3/8x-4
C. y=8/3x-4
D. y=-8/3x-4
The successor of -18
Answers
Answer:
-17
Step-by-step explanation:
−18 + 1 = −17
What is the slope passing through the points (11,-5) and (1,20)
Answers
Answer:
-2.5 or -5/2
Step-by-step explanation:
To find the slope we need to find the change in y and divide it by the change in x:
m = change in y ÷ change in x
m = (-5 - 20) ÷ (11 - 1)
m = 25 ÷ -10
m = -2.5 or -5/2
Hope this helps!
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
Answers
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
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identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = Start Root negative 11x End Root, for x greater-than-or-equal 0.
Answers
solving for the inverse of y = x² + 12x
Line 1: x = y² + 12 x.
Line 2 y² = x - 12 x.
Line 3 is y²= - 11 x.
Line 4 is y = √(- 11x) for x ≥ 0.
The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.
As such Line 1 should be x = y² + 12y NOT (x = y² + 12 x)
Since Line one is wrong, it messes with all the other lines.
PLEASEEE HELP ME WITH THIS QUESTION!!! I WILL MARK THE BEST ANSWER BRAINLIEST AND GIVE EXTRA POINTS!!
Answers
Answer:
Umm... I'd love to help but... you didnt post a question. Was that an accident?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The absolute value measures the distance from zero on a number line. A negative number will have the sign change,
A paint store sells exterior
paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in
standard form for the number of gallons x of paint and rollers y that a customer could buy with $190.
Answers
Identify the type of function represented by f(x)= (4).
A. Quadratic
B. Exponential growth
C. Linear
D. Exponential decay
Answers
This is an exponential growth function.
If we look at the number that is raised to the power of x, it is greater than 1. Though there is a fraction within this equation, it is not affected by the exponential.
Hope this helps!! :)
Answer: A
Step-by-step explanation:
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answers
Answer:
F=36
Step-by-step explanation:
F= 12 times 9 divided 3 = 36
The question requires calculating the objects mass in kilogram (kg)
The mass in kg of the objects is 4 kg
Given:
F = ma
Where,
F = Force (N)
M = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
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evaluate 2/6 + 1/3 + 1/2 = ?
Answers
Answer:
2/6 + ⅓ + ½
= (2+2+3)/6
= 7 / 6
= 1⅙
Step-by-step explanation:
brainliest plz
Answer:
1 1/6
Step-by-step explanation:
Find the common denominator for 6, 3, 2
6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.
Convert all the fractions into sixths.
The first fraction is already done.
1/3..... the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.
1/3 x 2/2 = 2/6
1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.
1/2 x 3/3 = 3/6
Now you have
2/6 + 2/6 + 3/6 = 7/6
Simplify the answer
6/6 = 1 so remove 6/6 from 7/6 and you are left with just 1/6
So your answer will be 1 and 1/6 or 1 1/6
I need help please can anyone help.
Answers
Answer:
What do you need help on there’s nothing??
Help ASAP!!! ILL GOVE BRAINLIEST IF YOU GET IT RIGHT!
Answers
Step-by-step explanation:
I am not sure but i think it is D or E (last 2 choices)
Sorry if wrong
My friend needs help!
Answers
[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]
So, option (c) will be correct
Cheerio :)
Needing help thanks!
erica recorded the number of sales she made during each of the first 4 months when she began her new career erica plottedthe data on a coordinate grid and she noted that the data correlate to an exponential equation as shown (image attached)
What is the domain of the function shown in the graph?
Answers
The domain of the function from the graph.
{10, 20, 40, 80}.
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The coordinates from the graph:
(1, 10), (2, 20), (3, 40), (4, 80)
The domain of the function from the graph.
= 10, 20, 40, 80
Thus,
From the graph, the domain of the function
{10, 20, 40, 80}.
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Need help asap pls pls pls
Answers
Answer:
I would say the answer is A) y = x + 3
Step-by-step explanation:
Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.
For example:
x-value
⬇
(5) = (2) + 3
⬆
y-value
Hope this helps :)
4.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).
Answers
Answer:
D. The relationship is linear; y + 9= -4/5(x + 2).
Step-by-step explanation:
yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.
one general form for a linear equation is
y - y1 = m(x - x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (-7-(-2)) / (-5-(-9) = -5 / 4
so using the point (3, -17):-
y - (-17) = (-5/4) ( x - 3)
y + 17 = -5x/4 + 15/4
4y + 68 = -5x + 15
4y = -5x - 53
thats the equation of the line
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answers
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)
Answers
Answer:
2q-1
Step-by-step explanation:
Add:
Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.
Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q
5/4q-1/4q is q
q+q is 2q
Now do the same thing with the numbers that doesn't have variables
1-4+2=-1
So the answer is 2q-1
Hope this helps!
Answer:
2q -1
Step-by-step explanation:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
5/4q + 1 + q - 4 - 1/4q + 2
5/4q + q - 1/4q + 1 - 4 + 2
2q -1
The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.
2
3
7
21
19
8
S
12
6
5
7
2
Find the mean waiting time. Round your answer to one decimal place.
8.0 min
7.2 min
7.5 min
6.8 min
Answers
The answer is 6.8 minutes
do 12,16, and 20 make a right triangle
Answers
Answer:
so yes it does :)
Step-by-step explanation:
There is a fourth category of triangles in which one of interior angles is of 90∘ . It is called right triangle. 1) 12,16,20 : 202=162+122 : True, hence right triangle
In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)
∘
, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)
∘
, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)
∘
. What is the value of x?x?
Answers
Answer:
x = 16
Step-by-step explanation:
m<B+m<C+m<D = 180°
5x + 14 + x + 19 + 2x + 19 = 180
8x + 52 = 180
8x = 180 - 52
x = 128/8
x = 16
solve for x
a) 30
b)45
c) 60
d) 90
Answers
pi/6=180/6
=30
guys pls help me!!!!!!
Answers
Answer:
X would also be 59° due to the Corresponding property.
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answers
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answers
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?
Answers
Answer:
$27.72
Step-by-step explanation:
The information that we have its
The cost gas its $3.60 per gallon
Irene's car had 5.3 gallons
Irene's car tank is 13 gallons
so now for the know, How much did Irene spend on gas?
First
The gas that its necessary for filled de tank its
13gallons-5.3gallons=7.7 gallons
The cost for 7.7 its
7.7g*$3.60/g= $27.72
Can someone tell me the answer to this please I got this wrong on my first attempt .-.
Answers
Answer:
B
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio
[tex]\dfrac{CV}{CE}=\dfrac{CU}{CD}\\\\\\\dfrac{CV}{54}=\dfrac{14}{98}\\\\CV=\dfrac{14}{98}*84\\\\CV = \dfrac{1}{7}*84\\\\CV = 12[/tex]
Answer:
B) 12
Step-by-step explanation:
CD - 98
CE - 84
~
CU - 14
CV = 12
-
You set up a proportion: 98/84 = 14/x
x=12
What is 15 percent of 120
Answers
Answer:
18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
15% is [tex]\frac{15}{100}[/tex] which is equal to 0.15
Multiply 0.15 times 120 and you will get the answer below:
0.15 × 120 = 18
can someone please help me with this
Answers
Answer:
∠ R = 58° , ∠ Q = 32°
Step-by-step explanation:
Complementary angles sum to 90°
∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then
∠ Q + ∠ R = 90° , that is
∠ R - 26° + ∠ R = 90°
2 ∠ R - 26° = 90° ( add 26° to both sides )
2 ∠ R = 116° ( divide both sides by 2 )
∠ R = 58°
∠ Q = 58° - 26° = 32°
