Use the formula y=kx for this equation.
so considering that Y equals -24 then X and K must also equal that number
we already know that X is -4 but we dont know what K is.
so we divide -24 by -4 and get an answer of a positive 6 but the answer is not proven yet.
-4 times 6 is -24 meaning that the answer is 6
Answer:
(1,-5)
Step-by-step explanation:
Answer:
1.1 : C - x^2 + x - 2
1.2 : A - 4a^2 - 6b^2 + 12
Step-by-step explanation:
When we have the expression p(x) - q(x), we can substitute those functions in:
(x^2 + 2x - 5) - (x - 3)
We can distribute:
x^2 + 2x - 5 - x + 3
and then combine like terms(2x & -x, -5 & 3)
x^2 + x - 2
This is the same as C.
We can start by distributing:
a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4
Now, we can combine all the a^2 terms(a^2 & 3a^2):
4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4
Then, we can combine the b^2 terms(-2b^2 & -4b^2):
4a^2 - 6b^2 + 3 + 4 + 5
and lastly, all the constants:
4a^2 - 6b^2 + 12
This aligns with option A
Answer:
The probability is 0.933
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD
x = 4
mean = 5.5
SD = 1
z-score = (4-5.5)/1 = -1.5
So we proceed to get the probability
This is;
P( z > -1.5)
we can get this from the standard normal distribution table
That will be
P(z > -1.5) = 0.93319
To the nearest thousandth, this is 0.933
<span>Two possible answers are 7/10 and 13/20.
Explanation:
We can use common denominators to convert these fractions and find ones between them. Any multiple of 5 can be used, so the first one I chose was 10. You multiply 5 by 2 to make 10, so multiplying the numerator by 2, we get 6/10.
Doing the same thing to the other fraction, we multiply 4 by 2 and get 8/10. A fraction between 6/10 and 8/10 would be 7/10.
Now I will use 20. You multiply 5 by 4 to get 20, so 4*3 in the numerator would give you 12/20.
For the second fraction, 4*4 on the numerator would give us 16/20. One fraction between these two would be 13/20.</span>