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Alisiya [41]
2 years ago
7

Use the graphs to solve the simultaneous linear equations

Mathematics
1 answer:
Delicious77 [7]2 years ago
4 0

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given the simultaneous linear equations

y = 2x + 1 and x + y = 7

We are to find the  value of x and y;

Substitute 1 into 2

From 2;

x+y = 7

x+2x+1 = 7

3x+1 = 7

3x = 7-1

3x = 6

x = 6/3

x = 2

Recall that y = 2x+1

y = 2(2) + 1

y = 4+1

y = 5

Hence the solution from the graph will be the point where the line cuts the x axis and this will be at x = 2 and y = 5

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Question 9 20% of a particular brand of light bulbs fail in one year. What is the probability that three bulbs out of a random c
Delvig [45]

Answer:

The correct answer is 0.15

Step-by-step explanation:

According to the given scenario, the probability is as follows:

X\sim Bin (n,p)

Here

n = 8

p = 0.20 or 20%

Now this is a binomial probability distribution

P(X) = ^nC_x \times p^x \tmes (1 - p)^{n-x}\\\\P(3) = ^8C_3 \tims 0.20^3 \times (1 - 0.20)^5

= 0.15

Hence, the correct answer is 0.15

5 0
2 years ago
Quadrilateral ABCD ​ is inscribed in a circle.
alexdok [17]
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43

Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A

The measure of angle A is 135 degrees.

Hope this helps =)
7 0
3 years ago
X2 + y2 + 6x – 2y+3 = 0?<br> What is the radius of a circle with the equation
ExtremeBDS [4]

Answer:

Step-by-step explanation:

hello : write this expression

X² + y² + 6x – 2y+3 = 0  in the standard form

(x²+6x) +(y²-2y) +3 = 0

(x²+6x+9 -9) +(y²-2y+1 - 1) +3 = 0

(x²+6x+9) -9 +(y²-2y+1) - 1 +3 = 0

(x+3)²+(y-1)² = 7(the standard form)

but : 7 = (√7)²

<h2>the radius is : √7</h2>

5 0
3 years ago
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after 1 month
Slav-nsk [51]

Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

<h3>Relationship between the amount saved and the number of months</h3>

After 1 month, Jane will  saved=$35+$100

After 1 month, Jane has saved=$135

Hence,

Let x represent  the number of months

Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months  is 35x +100.

Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

Learn more about  Relationship between the amount saved and the number of months here:brainly.com/question/13199011

#SPJ1

4 0
1 year ago
Can someone please answer these questions
Leona [35]

Answer:

15 . Undefined

16. undefined

Step-by-step explanation:

3 0
3 years ago
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