Answer:
For question 3, the slope would be -5
Step-by-step explanation:
If you wanted to graph this you would have to plot one of the points that is already given. Then from that point, you would move 5 units down and 1 unit to the right. If you run out of space, you can go to the other direction by going 5 units up and 1 to the left.
Hope this helps :)
Answer:
The given set of equation are: x+ (-45) ≤ 35 , x - (-45) ≥ 35
For the given equality to be true, x ≤ 35
Step-by-step explanation:
Here, given the first number = x
Second number = -45
Now, Sum of x and - 45 is at most 35.
⇒ x+ (-45) ≤ 35
Also, The difference of x and -45 is at least 35.
⇒ x - (-45) ≥ 35
Now, simplifying the given set of equations:
x - 45 ≤ 35 ⇒ -x - (-45) > - 35 ( as 3 < 4 ⇒ -3 > -4)
or, -x + 45 > - 35
and second equation is x + 45 ≥ 35
Now, solving both the equations by not taking sign of inequality in to the consideration, we get
x - 45 = 35
x + 45 = 35
Adding both equations,we get: ⇒ 2x = 70
or x = 35
Hence for the given equality to be true, x ≤ 35
Answer:
The answer is the last option, D.
Step-by-step explanation:
A function with one solution can be added and have a variable and a constant leftover. The variables in the other three options cancel each other out, so none of them have one solution. The first and third equations have no solutions, and the second has infinitely many solutions. The fourth option has only one variable cancel out and still has a constant on the other side of the equation. The fourth option is correct.
A=l*w
A=0.35 km*0.3=0.05 km^2
we transform in meters
0.05 km^=50m^2
Answer:
In the 6% account, 13,000 was deposited
In the 10% account, 20,000 was deposited
Step-by-step explanation:
Here, we are interested in calculating how much invested in each account
.
Let the amount invested be $x and $y
Mathematically;
x + y = 33,000 ••••(i)
Now let’s work with interest
6% of x + 10% of y = 2780
6/100 * x + 10/100 * y = 2780
Multiply through by 100
6x + 10y = 278000 •••••••••(ii)
From i, x = 33,000 -y
Put this into ii
6(33,000 -y) + 10y = 278000
198,000-6y + 10y = 278000
4y = 80000
y = 80,000/4 = 20,000
But x = 33,000 -y = 33,000 -20,000 = 13,000
