So to solve for an inequality, you must isolate the variable, in this case x, to one side.
Starting with 3.5x - 10 > -3, firstly add both sides by 10:
3.5x > 7
Next, divide both sides by 3.5 and your first half is:
x > 2
Next with 8x - 9 < 39, firstly add both sides by 9:
8x < 48
Next, divide both sides by 8 and your second half is:
x < 6
<u>Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.</u>
We can do this problem using two ways....
Let me show you both methods.
<u>Method 1: "Without using logs"</u>
Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents.
After equaling the exponents, we get,
Now,
<u>Method 2: "Using Logs"</u>
<u>So, either way we get x= 6</u>
Answer:
Quadrilateral ABCD is a <u>parallelogram</u>
if the vertex C( 11, -1 ) we’re shifted to the point C ( 11, 1 ), quadrilateral ABCD would be a <u>kite</u>
Step-by-step explanation:
without solving, im guessing that quad ABCD is a paralellogram (//gram)
lets test this theory
see if the slope of AB and CD, and BC and AD is the same
slope AB and CD
AB:
-7--4/11-9
=-3/2
CD:
-1--4/11-13
=3/-2
=-3/2
slope is the same
slope BC and AD
BC:
-4--1/9-11
=-3/-2
=3/2
AD:
-7--4/11-13
=-3/-2
=3/2
slope is same
because 2 pairs // sides ---> //gram
if the vertex C( 11, -1 ) we’re shifted to the point C ( 11, 1 ), quadrilateral ABCD would be a kite
hope this helps!
please mark brainliest thank you !
I believe the answer to this question is A
For this case, the first thing we must do is define variables.
We have then:
x: number of rides
y: total cost
We now write the equations for each park.
For The Thrill amusement park:
y = 5x + 40
For The Splash water park:
y = 3x + 60
Answer:
A system of equations that could be used to determine the solution where the cost per ride of the two amusement parks, and, is the same is:
y = 5x + 40
y = 3x + 60
