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Alex17521 [72]
2 years ago
13

Solve the system by graphing.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
4 0

Answer:

(-4,2)

Step-by-step explanation:

See attachment

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What is the slope of the line through (-3,0) and (-4,-2)?
rodikova [14]

AnswerY=-10/3x+11:

Step-by-step explanation:

M=0--2/-3-4= -10/3

Y-1=-10/3(x-3)

-10/3x+10+1

Y=-10/3x+11

4 0
3 years ago
Find the total surface area of cube whose volume is 27000cm^2
Furkat [3]
5400 is ur answer .

ans: 5400 is the surface area
4 0
3 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
3 years ago
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, what is the equation of the new function
AleksAgata [21]

Answer:

y=3*2^{x}

Step-by-step explanation:

A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form

y=ab^{2}.

If our equation is f(x)=2^x, then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.

y=3*2^{x}


7 0
3 years ago
-3y-2=7 what is the value of y
tiny-mole [99]

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

6 0
2 years ago
Read 2 more answers
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