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svp [43]
3 years ago
5

Solve the systems of equations. ​

Mathematics
2 answers:
rewona [7]3 years ago
8 0

Answer:

x = -1 and y = -1

Step-by-step explanation:

Solve 3x+3y=−6;−x+y=0

Steps:

I will solve your system by substitution.

−x+y=0;3x+3y=−6

Step: Solve−x+y=0for y:

−x+y+x=0+x(Add x to both sides)

y=x

Step: Substitutexforyin3x+3y=−6:

3x+3y=−6

3x+3x=−6

6x=−6(Simplify both sides of the equation)

6x

6

=

−6

6

(Divide both sides by 6)

x=−1

Step: Substitute−1forxiny=x:

y=x

y=−1

Answer:

x=−1 and y=−1

hodyreva [135]3 years ago
3 0

if you isolate y in the bottom equation youll see that x=y so if you plug in y for x in the top equation youll get 6y=-6 then divide both sides by 6 to get y=-1 and since y=x x=-1

so it would be the last option where x and y both equal -1

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A(1, 3), B(5, 3), and D(1, -2) are three vertices of rectangle ABCD.
tatiyna

Answer:

so whats u r question

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
7. A bag of M&Ms contains the following distribution of colors:
lys-0071 [83]

Answer:

a) 21/1240 = 0.017

b) 9/1240 = 7.26*10^-3

c) 3/2480 = 1.21*10^-3

Step-by-step explanation:

There are total 32 M&Ms in the bag

a) Probability that all three are blue M&Ms (without replacement)

         (9/32)*(8*31)*(7/30) = 21/1240 = 0.017

b)     Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red

         (9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3

c)     Probability that the first two selected are red, and the third one selected is yellow

        (4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3

3 0
3 years ago
the population of a city has decreased by 36% since it was last measured. if the current population is 17600 what was the previo
Savatey [412]

Answer:

23,936

Step-by-step explanation:

so get your 17600 times it by 0.36 which gets you 6,336 then add that to 17,600 =23,936

That's how you get your answer

5 0
2 years ago
Why the output is a zero number ?<br><img src="https://tex.z-dn.net/?f=%28x%20-%203%29%20%5Ctimes%20%28x%20%20%20%2B%204%29%20%3
ELEN [110]

Answer:

see explanation

Step-by-step explanation:

Given

(x - 3) × (x + 4) = 0, that is

(x - 3)(x + 4) = 0

The zero product indicates that (x - 3) = 0 or (x + 4) = 0

x - 3 = 0 ⇒ x = 3

x + 4 = 0 ⇒ x = - 4

Thus if x = 3, then

(3 - 3)(x + 4) = 0 × (x + 4) = 0

Similarly if x = - 4 the output is zero

4 0
2 years ago
The weights of red delicious apples are approximately normally distributed with a mean of 9 Ounces and a standard deviation of 0
Simora [160]

Answer:

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

Step-by-step explanation:

Let X: weight of a red delicious apple, and B: the weight of the box and packing material.

The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.

Applying the property of the mean: E(aX)=aE(X), the mean of W will be:

\mu_W=E(W)=E(5X+B)=5E(X)+E(B)=5*9+10=45+10=55

Applying the property of the variance: V(aX+b)=a^2V(X), the variance of W will be:

\sigma^2_W=V(W)=V(5X+B)=5^2V(X)+V(B)=25*0.75+0=18.75

The mean standard deviation of W will be the squared root of V(W):

\sigma_W=\sqrt{V(W)}=\sqrt{18.75}=4.33

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

3 0
3 years ago
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