Answer:
will it be b
Step-by-step explanation:
Answer:
do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.
so it'll basically be 6x - 24 = 7x + 21.
then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.
then add 21 + 24 and that will be 45.
so 6x = 7x + 45
then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x
that'll be -x = 7x + 45 - 7x
combine like terms (7x - 7x) = 0
so -x = 45
and since x can't be negative, do the opposite signs
so instead of -x = 45, make it x = -45
Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)
Answer:
slope(m)= (9/4) and y intercept =5
Step-by-step explanation:
Answer:
other root: x = 9
p = 7
Step-by-step explanation:
first, find p:
(8)² - (3p - 4)8 + 11p -5 = 0
64 - (24p - 32) + 11p - 5 = 0 –––––> 64 - 24p + 32 + 11p - 5 = 0
91 - 13p = 0
-13p = -91
p = 7
<u>plug in p to find the polynomial:</u>
x² - (3(7) - 4)x + 11(7) - 5 = 0
x² - (21 - 4)x + 77 - 5 = 0
x² - 17x + 72
<u>find the roots:</u>
we know that 8 is one of the roots, so one factor is (x - 8)
the other number needs to be something that equals -17 when added with -8 and 72 when multiplied by -8
that number is -9
so the poly nomial factors to be: (x-8)(x-9)
so the roots are x = 8 and x = 9
Answer:
0.33
Step-by-step explanation:
We would like to find the probability that both beads are aqua.
There are 6 aqua beads. Let's calculate the number of ways we can select 2 aqua beads from these 6. We use combinations, which is , where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.
The value of the expression is:
So there are 15 ways to choose 2 aqua beads.
Now let's calculate the number of ways we can select any 2 beads. There are 6 + 4 = 10 beads in total, so we do the same thing as before using combinations:
Our fraction is thus:
15 / 45 = 1/3 ≈ 0.33
The answer is thus 0.33.
<em>~ an aesthetics lover</em>