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Varvara68 [4.7K]
3 years ago
7

What is the value of the y coordinate of the solution to the systems of equations x+2y=9 and x-y=3

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Answer:

y = 2

Step-by-step explanation:

(1) x  + 2y = 9

(2) x  -   y = 3

Subtract (2) from (1)

3y = 6

 y = 2

The y-coordinate is y = 2.

The graphs of the two equations intersect at (5, 2).

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Can someone help me pls
VLD [36.1K]

Answer:

-12

Step-by-step explanation:

Since a = -6,we have to multiply 2 and -6,and you get -12 bc we have to put the sign of the bigger digit which is -6 in this problem,so you have to write -12

4 0
2 years ago
What’s the correct answer for this?
otez555 [7]

Answer:

0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Let's denote the probabilities as following:

The probability that the show had animals is

P(A) = 0.7

The probability that the show aired more than 10 times is

P(B) = 0.4

The probability that the show had animals and aired more than 10 times is

P(A⋂B) = 0.2

The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)

The correct form of  addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:

P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9

=> Option B is correct

Hope this helps!

7 0
2 years ago
What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?
Ainat [17]

Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function f(x)=-3x+79 over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function f(x)=-3x+79 over [2,4]

The rate of change is the slope of the line,

So, \text{Rate of change}=\frac{f(4)-f(2)}{4-2}

f(4)=-3(4)+79

f(4)=-12+79

f(4)=67

f(2)=-3(2)+79

f(2)=-6+79

f(2)=73

Substitute,

\text{Rate of change}=\frac{67-73}{4-2}

\text{Rate of change}=\frac{-6}{2}

\text{Rate of change}=-3

Therefore, The average rate of change is -3.

8 0
3 years ago
Read 2 more answers
Are 2/3 and 6/8 equivalent?
miskamm [114]
No they are not, 6/8 could also be represented as 3/4. Therefore they are not equivalent. You would divide each side by the factor they have in common such as 2.
7 0
3 years ago
Please help! Find the missing
Veronika [31]

Answer:

x = 13

Step-by-step explanation:

Here, we want to get the missing side

from what we have, the triangle is a right angled triangle

In this kind of triangle, the Pythagoras’ theorem works

The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides

We have this as;

x^2 = 5^2 + 12^2

x^2 = 25 + 144

x^2 = 169

x = √169

x = 13

7 0
3 years ago
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