18a+15
making a subject of formular
a=18-15
=3
Answer:
x=1
Step-by-step explanation:
12x -3 + x =5x - 4 +8x +1
13x-3=13x - 3
+3 +3
____________-
13x=13x
÷13x ÷13x
_________
x=1
Hope this helps :D (idk if its right srry if not)
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.
y = 2x3 – x2 – 4x + 5 should be written <span>y = 2^x3 – x^2 – 4^x + 5. The
" ^ " symbol denotes exponentiation.
I see you're apparently in middle school. Is that so? If so, are you taking calculus already? If so, nice!
Case 1: You do not yet know calculus and have not differentiated or found critical values. Sketch the function </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5). Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?
Case 2: You do know differentiation, critical values and the first derivative test. Differentiate y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:
dy/dx = 6x^2 - 2x - 4 = 0. Reduce this by dividing all terms by 2:
dy/dx = 3x^2 - x - 2 = 0 I used synthetic div. to determine that one root is x = 2/3. Try it yourself. This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1. Again, you should check this.
Now we have 2 roots: -1 and 2/3
Draw a number line. Locate the origin (0,0). Plot the points (-1, 0) and (2/3, 0). This subdivides the number line into 3 subintervals:
(-infinity, -1), (-1, 2/3) and (2/3, infinity).
Choose a test number from each interval and subst. it for x in the derivative formula above. If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.
Ask all the questions you want, if this explanation is not sufficiently clear.
Large sphere's radius = R,
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
Answer:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
