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Kisachek [45]
2 years ago
12

Solve y=-x+2 and y=-2x-1 as a graph, substitution, or elimination?

Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

(- 3, 5 )

Step-by-step explanation:

Given the 2 equations

y = - x + 2 → (1)

y = - 2x - 1 → (2)

Using substitution method.

Substitute y = - x + 2 into (2)

- x + 2 = - 2x - 1 ( add 2x to both sides )

x + 2 = - 1 ( subtract 2 from both sides )

x = - 3

Substitute x = - 3 into (1)

y = - (- 3) + 2 = 3 + 2 = 5

Solution is (- 3, 5 )

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Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil
TEA [102]

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

<h3>What is Anna's time?</h3>

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

3 0
1 year ago
Determine whether the following equation defines y as a function of x.
Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x +  y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

3 0
3 years ago
The sum of two numbers is 35. The greater number is 4 less than twice the lesser number. What is the greater number?
zubka84 [21]

Answer: x=13

Step-by-step explanation: ?+?=35

(2x-4)+x=35

3x-4=35

3x=35+4

3x=39

x=13

5 0
3 years ago
Write an expression to represent four more than the problem of three and a number z
kicyunya [14]

Answer:

If the "problem of 3 and a number z" is multiplying: 4+(3z)

If it's about adding: 4+(3+z)

Step-by-step explanation:

Scenario A: If it's 3 and z, then that means it's 3z, and we're adding 4, so it's 4+(3z) (make sure to put () around the 3z!)

Scenario B: If 3 and z is also 3+z, then the equation is 4+(3+z) (also use () on this too!)

8 0
3 years ago
Please help with #49
Anuta_ua [19.1K]

Answer:

A

Step-by-step explanation:

The inverses of functions are basically the Xs and Ys swapped. For example, the inverse of (2,-3) is (-3,2).

Thus, the inverse of (-2,4), (3,2), and (-6,10) will be (4,-2), (2,3), and (10,-6).

the answer is A.

8 0
2 years ago
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