Which graph represents the solution set of the system of inequalities?
Answers
Answer:
D (right-down graph)
Step-by-step explanation:
y = ax+b - linear function,
a>0 - ascending
a<0 - descending
- ascending function, because
, so a>0
- descending function, cause
, so a<0
We refuse both graphs on the left side, these are two ascending functions
is the area above the ascending function
is the area below the descending function
This causes that D (right-down graph) is a correct answer
Related Questions
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A game consists of randomly choosing a bag out of a choice of 100 and then again randomly,picking a ball from it. Each bag has the same total number of balls
Create a set of at least 4 ordered pairs and tell whether or not the relation is a function. Why do you say so?
A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (-9, 5). What is the distance, to the nearest unit, between your house and the subway stop?
x = 39
x = 29
y = 61
y = 29
z = 61
z = 29
Answers
answer:
x = 29
y = 29
z = 61
step-by-step explanation:
all angles in a triangle must equal 180 degrees.
we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.
the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.
so to figure out y,
we must add 61+90 and then subtract the sum of that from 180.
so, 61+90 = 150 and 180-151 = 29
therefore,
we can conclude that y = 29
now, to determine the degrees of x and z we do the same thing.
we already know one angle equals 90 degrees.
180-90 = 90
that concludes that x and z must have a sum of 90.
if we use our choices,
39+61 = 100 (no)
39+29 = 68 (no)
29+61 = 90 (CORRECT)
29+29 = 28 (no)
therefore, x = 29 and z = 61
so, in total :
x = 29
y = 29
z = 61
hope this helps :)
-audrey <3
B. 3y − 6x = 6.5
C. y − 2x = 3
D. -2y − 4x = 3
Answers
If two lines have the same slope, they're parallel and don't intersect.
The slope of the given line is 2.
The slopes of lines A, B and C are also equal to 2, so they are all parallel.
The slope of line D is -2, so it intersects the given line.
The answer is D.
Answers
Answers
Answer:
6 and 4.
Step-by-step explanation:
c. 20 ft
b. 22 ft
d. 18 ft
Answers
The equation goes w + 76 + w = 120 so I'm guessing you're solving for w since that's the only remaining side you haven't discovered so first of all collect like terms:
2w + 76 = 120
Secondly minus 76 from the equation to leave 2w on its own
2w - 76 = 120
BUT whatever you do to one side of the equation you have to do it to the side
2w - 76 = 120 - 76
Which will get you to
2w = 44
To get w on it's own you divide the equation by 2 and like before you must do the same to the other side of the equation to balance it out.
w = 44/2
Therefore w= 22ft
B. 334^x=2/3
C. (3x)^2=324
D. 3x^2=324
Answers
Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.