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2 years ago

What is the equation of the line shown in this graph?

Mathematics

2 answers:

UNO [17]2 years ago

6 0

Answer:

y = -4x + 1

Step-by-step explanation:

→ First as the gradient is sloping downwards, we can eliminate 2 options

B and C

→ Then substitute x = 1 into $y=-\frac{1}{4}x+1$ and $y=-4x+1\\$ and see if you get 3 as the answer

y = -4x + 1

lara [203]2 years ago

3 0

The correct answer is a

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Solve the system of equations alphabetically. Verify your answer using the graph. y = 4x -5, y =-3

vazorg [7]

So, since both equate to y, we can solve for x by equating the equations to each other.
4x - 5 = -3
So: 4x = 2
So: x = 1/2, or 0.5
Now, y = -3, so the solution is (0.5, -3)
You can graph the two equations, and the point where they meet will be (0.5, -3).

8 0

4 years ago

F(x)=2x^2-5 how do I graph this and how do I solve this

Marysya12 [62]

Answer:

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Step-by-step explanation:

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4 years ago

Please help!! This is urgent.

skad [1K]

Answers:

Upper Limit = 2.55 cc

Lower Limit = 2.25 cc

cc stands for "cubic centimeters".

==========================================

Explanation:

The tolerance tells us how much we can go over or under our target. It's our margin of error. We add and subtract the tolerance (0.15) from the target we're trying to aim for (2.4)

So the lowest dosage allowed is 2.4-0.15 = 2.25 cc

The highest dosage allowed is 2.4+0.15 = 2.55 cc

The upper limit is 2.55 cc while the lower limit is 2.25 cc

On a number line, we would find that 2.4 is at the midpoint of 2.25 and 2.55; so its at the center of those lower and upper bounds. The distance from the center to each endpoint is the same. That distance would be the tolerance 0.15

3 0

3 years ago

There is a rumor that Daddy Warbucks is starting a new airline. He plans to serve six cities: San Francisco, Los Angeles, Dallas

alexandr1967 [171]

There is a rumor that Daddy Warbucks is starting a new airline. He plans to serve six cities: San Francisco, Los Angeles, Dallas, Chicago, New York, and Miami. There will be direct flights between each pair of cities. How many different routes will this create?

Answer: There will be $15(5+4+3+2+1+0=15)$ different routes.

The 15 different routes are:

1. San Francisco ------------ Los Angeles

2. San Francisco ------------ Dallas

3. San Francisco ------------ Chicago

4. San Francisco ------------ New York

5. San Francisco ------------ Miami

6. Los Angeles ------------ Dallas

7. Los Angeles ------------ Chicago

8. Los Angeles ------------ New York

9. Los Angeles ------------ Miami

10. Dallas ------------ Chicago

11. Dallas ------------ New York

12. Dallas ------------ Miami

13. Chicago ------------ New York

14. Chicago ------------ Miami

15. New York ------------ Miami

4 0

3 years ago

Read 2 more answers

Use the unique factorization theorem to write the integer in standard factored form.<br><br> 1.5400

mash [69]

Answer:

Standard factor form of the integer : 15400 = 2³ × 5² × 7 × 11

Step-by-step explanation:

According to the unique factorization theorem, a given integer n (where, n>1), either is a prime number or can be represented as the product of the prime numbers.

Firstly, it is checked that the given integer is divisible by the smallest prime number 2 . If the integer is not divisible by 2, then the integer is checked for the next prime number 3 and then checked for 5 and so on until the remaining integers are prime numbers.

So, the standard factored form of the integer:

15400 = 2 × 770

15400 = 2 × 2 × 3850

15400 = 2 × 2 × 2 × 1925

15400 = 2 × 2 × 2 × 5 × 385

15400 = 2 × 2 × 2 × 5 × 5 × 77

15400 = 2 × 2 × 2 × 5 × 5 × 7 × 11

or,

15400 = 2³ × 5² × 7 × 11

Therefore, the standard factor form of the integer: 15400 = 2³ × 5² × 7 ×11

6 0

3 years ago