Answer:
x=1.8
Step-by-step explanation:
To solve this equation, we can use PEMDAS and the various properties.
First, use the distributive property on all parenthesis, since parenthesis come first.
4x-1+6x+6x+24=52
Now we can use the commutative property to add all like terms.
16x+23=52
Now just subtract on both sides.
52-23=29 so our equation is 16x=29
To isolate x, divide both sides by 16.
x=1.8 rounded up
Hope this helps!
To find out if there is point where the graphs intersect simply plug in one equation for another,
y = 4x + 3
Y = -x^2 - 1.
4x + 3 = -x^2 - 1
Then solve
4x + 3 = -x^2 - 1
X^2 + 4x + 3 = -1
X^2 + 4x + 4 = 0.
(X+2)(x+2) = 0.
There is one solution X = -2. To solve for the y coordinate plug X = -2 to any of the above equations, easier for the first one.
Y = 4x + 3
Y = 4(-2) + 3
Y = -8 + 3
Y = -5.
Point - P(-2,-5). Plug these points in both original equations and if in each the left side is equal to the right, then that is the point of intersection. Basically the graph intersects once.
All you do is multiply 22 times 8 which is 176 then you multiply 8*4
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
5/11*5/11=25/121
Area=wide times long
area=40
4=wide
40=4 times long
divide both sides by 4
10=long
10 yd long
