Answer:y= -9x-25
Step-by-step explanation: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7).
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Form:: y = mx + b
Solve for "b"::
-7 = -9*-2 + b
-7 = 18 + b
b = -25
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Equation:
y = -9x - 25
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Cheers,
Stan H.
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point slope formula
y-y1=m(x-x1)
y+7= -9(x+2). Notice that we are subtracting a negative, so we have to add.
y+7=-9x-18
y= -9x-25
Answer:
Find out the how much does each pair of socks cost when bought individually .
To prove
Let us assume that the original price of one pair of shoes be x.
Than cost for three pair of shoes be 3x.
As given
Maritza is buying a multipack of 3 pairs is socks for $25.98.
She will save $6.39 by buying multipack instead of buying 3 individual pairs of the same socks.
Than the equation becomes
3x - 25.98 = 6.39
3x = 25.98 + 6.39
3x = 32.37
x = $10.79
Therefore each pair of socks cost when bought individually is $10.79 .
Answer:
6.10%
Step-by-step explanation:
For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2
Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)
Now on the 17th trial, an empty bag is chosen
Therefore the required probability will be;
16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
Answer:
x=length
x-12=width
you techinally have to count 2 lengths and 2 widths.
2x + 2x - 24= 64
4x = 88
x = 22
so the length is 22 and the width is 10
