Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
We want to find the graph of a system of inequalities. We want to select the correct option, but sadly is really hard to interpret the given text, so I will add a graph of the system at the end.
The system is:
y ≤ -3x + 1y ≤ (1/2)*x+ 3To graph these we first need to graph the two lines:
y =-3x + 1
Is a line with a negative slope that passes through the y-axis at y = 1.
Because here we have y ≤ -3x + 1 we know that y must be equal or smaller than the line, thus we need to shade below the line, and because y can be equal to any value in the line we need to use a solid line.
For the other equation:
y = (1/2)*x+ 3
We have a positive slope and this line intercepts the y-axis at y = 3.
Similar as before, here we have y ≤ (1/2)*x+ 3 so the shaded area will be below the line and the line must be solid.
With this in mind, we can graph the system, and you can see it below:
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I need help please. Also check out my other question
Answer:
8 Km.Explanation:
I'm going to turn the fractions into decimals2 ½: 2.5
3 ⅕: 3.2
Formula for the area of a parallelogram: A = b(h)Base: 3.2
Height: 2.5
3.2 · 2.5 = 8
The area of the parallelogram is 8 Km.HELPP due at 11:20!!
Answer:
try B if not maybe C
Step-by-step explanation:
ILL GIVE BRAINLIEST PLEAS EHELP
Step-by-step explanation:
THIS ISNT HOMEWORK BUT MY FRIEND GOT ME FACEMASKS ON SUNDAY AND IVE USED IT FIVE/SIX TIMES THIS WEEK(ITS NOW WEDNESDAY) AND SHE TOLD ME THATS NOT GOOD- WHAT DO I DO TO PREVENT BAD THINGS
Answer:
eat ice cream it will make the pain go away
Step-by-step explanation:
Write down the exact value of:
a) cos 0
b) sin 30°
c) tan 0°
Answer:
cos0 = 1
sin30= 1/2
tan0 = 0
Answer:
[tex]a) cos0^o = 1\\b) sin30^o = \frac{1}{2} \\c) tan0^o =0[/tex]
What is the slope of a vertical line
Help quick pllzzz :((
Answer:
15,000
Step-by-step explanation:
please help me, i’m super confused one what to do since my teacher did not explain well
Find the equation of the linear function represented by the table below in
slope-intercept form.
V
5
-10
8
A linear function in slope intercept form is
y = mx + c
To find the equation, you need m and c. This can be found by substituting the points you have.
For example, 5 = -1(m) + c and -7 = 2(m) + c
From here, do simultaneous equations
c = m + 5
-7 = 2(m) + m + 5
3m = -7 -5
m = -4
c = m + 5
c = 1
Rewrite the equation: (This is your answer)
y = -4x + 1
answer all question pls
Step-by-step explanation:
3. Between √9 and √16 or 3 nd 4
5. D
6. 7cubic inches
7. 8/45
8. 0.5 m
9. 4/25
What is the best way to study Geometry?
Answer:
diagramming, knowing your properties well, understand and know the angles, and have a good math understanding
Step-by-step explanation:
hope this helps
it literally means "harmonious sounding together".
a. sonare
b. sonaire
c. sinfonia
d. sinfona
Answer:
b sonaire
Step-by-step explanation:
Hope that helps
12 decreased by some number h
Answer:
12 - h
Step-by-step explanation:
helpppppp do i plug 7 in or still one? WILL MARK BRAINLIST
Answer:
154
Step-by-step explanation:
The expression is [tex]f(x)=4x^2-7x+7[/tex] and we know that [tex]f(x)=f(7)[/tex]. Therefore, you will have to substitute x with 7.
Calculations:
[tex]f(x)=4x^2-7x+7[/tex]
[tex]f(7)=4(7)^2-7(7)+7[/tex]
[tex]4(49)-49+7= 154[/tex]
Answer:
I think that you need to plug 7 in to the x's
Step-by-step explanation:
Yes it looks very weird, but if you don't think that is right, Use the 7 for the F's.
One of them should come out right. :3
C) What is the area of the shape in Step n?
Answer:
i think 6 or 12 let me know which is correct
Step-by-step explanation:
The area of the shape in Step n is (n+1)²-2.
What is pattern?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
From the given pattern,
Area of the shape in step 1 is 2 square centimeter
Area of the shape in step 2 is 7 square centimeter
Area of the shape in step 3 is 14 square centimeter
Here, the pattern is 2²-2=2
3²-2=7
4²-2=14
so, the general form is (n+1)²-2
Therefore, the area of the shape in Step n is (n+1)²-2.
Learn more about the pattern here:
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3/4 - 1/6 = ? (simplfy it )
Answer:
0.58333333333
Simplify is 0.6
Step-by-step explanation:
i think
Answer:
7/12
Step-by-step explanation:
the least common denominator is 12
4 goes into 12 three times so you multiply both numbers in 3/4 by three
3/4 = 9/12
6 goes into 12 twice so multiply both the 1 and 6 by two
1/6 = 2/12
so the equation becomes 9/12 - 2/12
subtract the numerators
9-2= 7
7/12 can't be simplified any farther so that's the final answer
help pls
3n-18-2n+10+n
Answer:
Assuming that you're being asked to simplify the expression. If you are, then the answer is 2n - 8
Step-by-step explanation:
Can someone plz help me!!!!
Answer:
The answer is 3.16
Answer:
8
Step-by-step explanation:
Use Pythagorean theorem a^2 + b^2= c^2.
6^2 + x^2 = 10^2 or 36 + x^2 = 100. Solve for x by subtracting 36 from both sides. X^2 = 64, then take the square root of both sides. X =8
Raja sold a purse for £ 180; he suffered a loss of £ 40 in his deal, what was the cost price of the purse.
Please tell me and quick!!!!
Answer:
220 £
Step-by-step explanation:
The measure of angle R is 3 degrees less than twice the measure of angle S. If the sum of the measures of the two angles is 72 degrees, find the measure of each angle.
Measures of the given angles:
∠S = 25° and ∠R = 47°
What is an angle?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.
There are two main parts related to an angle - the arms and the vertex.
Given,
Measure of angle R is 3 degrees less than twice the measure of angle S
⇒ 2∠S - ∠R = 3°
⇒ ∠R = 2∠S - 3° ------(a)
Sum of R and S
⇒ ∠R + ∠S = 72°
Substituting ∠R in terms of ∠S in above equation from equation (a)
2∠S - 3° + ∠S = 72°
3∠S - 3° = 72°
3∠S = 72° + 3°
3∠S = 75°
∠S = 75°/3
∠S = 25°
Substituting value of ∠S in equation (a)
∠R = 2 × 25° - 3°
∠R = 50° - 3°
∠R = 47°
Hence, ∠S = 25° and ∠R = 47° are the measures of given angles.
Learn more about angles here:
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Consider U = {x|x is a negative real number}. Which is an empty set? {x|x ∈ U and x has a negative cube root} {x|x ∈ U and x has a negative square root} {x|x ∈ U and x is equal to the product of a positive number and –1} {x|x ∈ U and x is equal to the sum of one negative and one positive number}
Answer:
{x\ x e U and x has a negative square root} is an empty set.
Step-by-step explanation:
If x e U, x is a negative real number, and they don't have a square root (they don't have even roots). Their square roots are complex numbers, not real ones.
The set that will give an empty set will be {x|x ∈ U and x has a negative square root}
What is a set?A set is a collection of numbers or objects. They are not necessarily arranged in pattern.
Given the following sets
r U = {x|x is a negative real number}
We are to determine the set that is empty. This means we need the set of numbers that are not real numbers.
The square root of a negative number will give a complex number. Hence the set that will give an empty set will be {x|x ∈ U and x has a negative square root}
Learn more on set here: https://brainly.com/question/2166579
The measures of the three angles whose sum is 160 are in the extended ratio 2:5:9. Find the exact angle measures.
Answer: 20°, 50° and 90°
Step-by-step explanation:
From the question, we are informed that the measures of the three angles whose sum is 160 are in the extended ratio 2:5:9.
The exact angle measures will then be:
= 2/(2+5+9) × 160°
= 2/16 × 160°
= 20°
= 5/(2+5+9) × 160°
= 5/16 × 160°
= 50°
= 9/(2+5+9) × 160°
= 9/16 × 160°
= 90°
Steven is making burgers that are approximately 1/3 of a pound each. If he has 6.02 pounds of meet, approximately how many burgers on Steven make
Answer:
20
Step-by-step explanation:
A motarcar is running at the rate of 66 km per hour. Each other its wheels makes 500 revolutios per minute. find the radius of the wheel.
Answer:
simple
Step-by-step explanation:
The radius of the wheel can be solved from its given speed and RPM.
Converting km/h to m/min
speed = 66 km / h = 66000 m / 60 min
speed = 1100 m / min
Converting one revolution to meters
1100 m / min = 500 revolution / min ... (given)
500 revolutions = 1100 m
1 revolution = 2.2 m
Solving for the radius of the wheels in meters
1 revolution = 2.2 m
2 * pi * radius = 2.2 m
radius = 2.2 m / 2 * pi
radius = 1.1 m / pi
radius = 0.3501 m
2 Which of the following fractions are equivalent to 2/4?
Answer:
1/2=2/4
Step-by-step explanation:
Homework please help
Answer:
I think B is the right one.
Step-by-step explanation:
Hope this helped
Hi! need help asap xx
Answer:
C
Step-by-step explanation:
The 3 triangles are all similar.
Using the 2 inside then the ratios of corresponding sides are equal, that is
[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
Answer:
C) x = 6
because this is a right triangle
=> we have:
(12² + x²)(3² + x²) = (15x)²
<=> 1296 + 153x² + x⁴ = 225x²
<=> x⁴ - 72x² + 1296 = 0
<=> (x² - 36)² = 0
<=> x² = 36
=> x = 6
PLEASE HELP!!!! EASY 50 POINTS!! WILL MARK BRAINLIEST!!
1. Which graph has the y-intercept -2?
2. Which statement describes the y-intercept of the graph of aproportional relationship?
A: It is equal to the x-intercept of the line.
B: It is greater than the x-intercept of the line.
C: The line intersects the y-axis of the graph at the origin.
D: The line intersects the y-axis of the graph above the origin.
Answer:
For 1 it is D
For 2 it is A
Hope this helps :)
Step-by-step explanation:
Answer:
#1
Option D
Y intercept-2 means line passes through the downward y-axis.#2
As
[tex]\\ \sf\longmapsto x\propto y[/tex]
It is equal to the x-intercept of the line.
Option A is correct
What are these as equalivalent equations
Answer:
6x - 2(x - 3) and x + 3(x - 2) - 6
The two expresaions that are quivalent are 6x - 2(x - 3) and x + 3(x - 2) - 6.
Step-by-step explanation:
First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.
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A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2 + 40t + 1.5
Answer:
26.5 units
Step-by-step explanation:
The height of the ball at any time t is given by :
[tex]h(t)= -16t^2 + 40t + 1.5[/tex] ...(1)
We need to find the maximum height of the ball.
For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
i.e.
[tex]\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s[/tex]
Put t = 1.25 in equation (1) to find the maximum height.
So,
[tex]h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units[/tex]
So, the maximum height reached by the ball is 26.5 units.