Answer:
Step-by-step explanation:
You can us the equation y = m x + c to answer this question.
In ,
y = m x + c
m = slope
c = y - intercept
So, they have already given in the question that,
m = 3/4
c = (-8)
Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.
y = m x + c
y = 3/4x - 8
Hope this helps you.
Let me know if you have any other questions :-)
We want to know the time, <em>t</em>, it takes the ball to reach a height (<em>y</em>) of 0.
We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a <em>t</em>, so we can factor that out as well:
(-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.
Answer:
The sum of two numbers is 14 and their difference is 10
Step-by-step explanation:
"2 numbers (x and y)
x+y = 14
and x-y + 10
If you each equation by positive 2, one gets 2x+2y = 28 and 2x-2y = 20
The 'y-terms' cancel out or equal zero when adding, so 4x = 48, divide by 4 on each side and x or the first number equals 12.
Plug 12 back into the equation for 'x' and subtract 12 on both sides so that y=2
The difference of 12-2=10 and the addition of 12 and 2 equals 14"
hopes this helps
Answer:
m < -
Step-by-step explanation:
8m + 95 < -87m + 5
8m + 87m < 5 - 95
95m < -90
m < -<u>
</u>
Simplifying gives;
m < -
<u>Answer:</u>
Below!
<u>Explanation:</u>
Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.
- 2¹ = 2
- 3⁵ = 3 x 3 x 3 x 3 x 3 = 243
- 4³ = 4 x 4 x 4 = 64
- 6⁴ = 6 x 6 x 6 x 6 = 1256
- 7⁴ = 7 x 7 x 7 x 7 = 2401
- 1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
- 8² = 8 x 8 = 64
- 2³ = 2 x 2 x 2 = 8
- 4⁴ = 4 x 4 x 4 x 4 = 256
- 10³ = 10 x 10 x 10 = 1000
- 12² = 12 x 12 = 144
- 5⁴ = 5 x 5 x 5 x 5 = 625
- 6² = 6 x 6 = 36
- 3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
- 7³ = 7 x 7 x 7 = 343
- 2⁴ = 2 x 2 x 2 x 2 = 16
- 11⁰ = 1
- 4³ = 4 x 4 x 4 = 64
- 1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1
Hoped this helped!
