in slope intercept form: y = -1/2x-4 1/2
in standard form: x+2y=-9
Oh you're right! I put a bracket on the back instead of a close paranthesis. Sorry!
Suppose f(x) is a cubic polynomial y = ax^3 + bx^2 + cx + d. Then
d = 47
a + b + c + d = 32
8a + 4b + 2c + d = -13
27a + 9b + 3c + d = 16
==> f(x) = 46/3*x^3 - 57x^2 + 68/3*x + 47.
The sum of the coefficients is 46/3 - 57 + 68/3 = -19.
The smallest possible number of zebras is 6, because it has to be a multiple of 6.
I think it's this ( - infinity, -23/5 )
Yes, you are right. They are EQUAL.
They are ALL multiples of 531,441 x 2^24
I answered the question on the original page. (-:
The answer is 48/5 or 9.6 in decimal form.
HINT(use tangent secant theorem)
you were wrong sorry
Let x be the cost of a kilogram of jelly beans and y the cost of a kilogram of gummy worms. We form two equations:
2x+2y=32
2x+y=25
We have a system of equations now and we solve for x and y.
Subtracting 2x+y=25 from 2x+2y=32, we get y=7. Then we plug the y value into 2x+y=25 to get the value of x.
2x+7=25
2x=18
x=9.
Therefore jelly beans cost $9 per kilogram and gummy worms $7 per kilogram.
We write this equation in slope intercept form using the two given points. With the slope formula, we find that the slope, m is 4/3. We currently have y=4/3x+b. We can plug either given point into this equation to find b. We plug in (6, 10) to get
y=4/3x+b
10=4/3(6)+b
10=8+b
b=2.
We write Line 1 in slope intercept form.
3x+4y=-14
4y=-3y-14
y=-3/4x-14/4
The slope of line 2 must be 4/3. So we currently have y=4/3x+b. We plug in the given point (-5, 7) to find b.
7=4/3(-5)+b
7=-20/3+b
b=41/3.
The equation of line 2 is y=4/3x+41/3. m is 4/3 and b is 41/3. Therefore m+b=4/3+41/3=45/3=15.
That is incorecct sorry. thx anyways.
We write 4x+5y=1 in slope intercept form.
4x+5y=1
5y=-4x+1
y=-4/5x+1/5
The slope of perpendicular line must be 5/4. We know it is y=5/4x+b. We plug in the given point to find b.
y=5/4x+b
-2=5/4(2)+b
=-2=10/4+b
=b=-9/2.
Therefore the equation is y=5/4x-9/2.
-4(x + 4) >= x + 7
-4x - 16 >= x + 7 distribute
-5x - 16 >= 7 subtract x
-5x >= 23 add 16
x <= -23/5 divide by -5; change sense of inequality because you divided by a negative
( - infinity, -23/5 ]
To find the percentage decrease:
1) Subtract the new from the original: 75 - 60 = 15
2) Divide by the original: 15 / 75 = 0.20
3) Turn into a decimal by multiplying by 100: 0.20 x 100 = 20.0%
Sorry young person! I found a few more values for k as follows:
K = 531441, 1062882, 2125764, 4251528, 8503056.
Note: there may more, since I only checked up to 10,000,000 numbers.
i think they are equal since if you simplify,
\(A=4^{5000}\cdot4^{5000}=2^{10000}\cdot2^{10000}=\boxed{2^{20000}}\)
\(B=2^{19999}+2^{19999}=2(2^{19999})=\boxed{2^{20000}}\)
I'm not sure if this is right, so please let me know if it is! :)
Someone please help! I need the answers very soon!
thank you i figured that out! and i got the next simlar question right!
The area of the region is 15/2.
x = 6*sqrt(2).
r = 4*sqrt(3).
By power of a point, AB = 15 - 15/9 = 40/3.
