Answer:
the line crosses the parabola at (-2,4) and (3,9)
Step-by-step explanation:
y=x^2
y=x+6
set them equal to each other
x^2=x+6, now set it equal to zero
x^2-x-6=0, now find the root
(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept
at x= -2, y=(-2)^2=4, so one point is (-2,4)
at x=3, y=(3)^2=9, so other point is (3,9)
the line crosses the parabola at (-2,4) and (3,9)
Answer:
325 mph and 420 mph
Step-by-step explanation:
If the speed of the slower plane is x, then the speed of the faster plane is x + 95.
The distance traveled by the slower plane is 3x.
The distance traveled by the faster plane is 3(x + 95).
The total distance is 2235 miles.
3x + 3(x + 95) = 2235
3x + 3x + 285 = 2235
6x = 1950
x = 325
x + 95 = 420
The speed of the planes is 325 mph and 420 mph.
Answer:
The apple is definitely equal to 7 each apple.
Step-by-step explanation:
Not sure about the tomato and pear.
By defining how exponents work, we conclude that 4^3 = 64, so the correct option is A.
<h3>
How to find the cube of 4?</h3>
Let's remember how exponents work.
If we have a number a to the exponent n:
a^n
It means that we need to multiply the number a by itself n times.
Then, in this case:
4^3
Can be rewritten to.
4*4*4
Now we can solve that product:
4*4*4 = (4*4)*4 = 16*4 = 64
Then we conclude that the correct option is A
4^3 = 64
If you want to learn more about exponents:
brainly.com/question/847241
#SPJ1
Answer:






Step-by-step explanation:
Given

See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:

We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:



When the frequency is to be calculated, we use:


For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:


For roll of 1 where the frequency and the probability are not known, we use:

So:
Frequency(1) added to others must equal 125
This gives:


Collect like terms


The probability is then calculated as:


So, the complete table is:





