Answer:
The answer is 3x-27
Step-by-step explanation:
If the angles are vertical from each other it means they are congruent. 2x+30 is 63, you plug in the x, 2(30)+30. You do that to the second one and also get 63, 3(30)-27. Therefore 3x-21 is the answer.
Answer:
see graph of y = 5x - 7
Step-by-step explanation:
If graphing is the task, you should rewrite the equation in a y = ax + b form. All straight lines can be described in this form, only the a and b determine which line it is.
Your equation 5x-y=7 has the 5x on the left side, so lets move it to the right. It will get a negative sign (this is the same as subtracting 5x like you did in your picture)
5x - y = 7
-y = 7 - 5x
Now we still have the -y which should be a +y. So we multiply left and right with -1 and get:
y = -7 + 5x
If we swap the -y and 5x (we can, because they are just an addition), we get:
y = 5x - 7
Now the equation is in its "normal" form. It's like the y = ax + b with a and b chosen as a=5 and b=-7.
The normal form is handy because you can immediately see the slope is 5 and the intersection with the y-axis is at y=-7.
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9
Consider, pls, this solution:
according to the equation y= -3x²+6x+2, where a=-3, b=6 and c=2, and the rule x₀= -b/(2a):
<u>x₀=</u>-6/(-6)<u>=1</u>.
For more info see the attached graph.
Find the probability of rolling a number bigger than 4 and subtract that by 100%;
P(5)= 1/6 <-- 6 possible outcomes, 1, 2, 3, 4, 5 or 6
P(6)= 1/6
You could have rolled a 5 or 6. When the word or is used, the probabilities are added together, when and is used, they are multiplied.
(1/6)+(1/6)=2/6
1-P(5)+P(6)
=1-(2/6)
=(6/6)-(2/6)
=4/6
Therefore the probability of not rolling a number larger than 4 is 4/6 or 2/3.
Hope I helped :)