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aleksklad [387]
2 years ago
11

At what point do the lines y=x-4 and 2x+y=2 intersect?

Mathematics
1 answer:
earnstyle [38]2 years ago
6 0

Answer:

  • (2, -2)

Step-by-step explanation:

<u>Given</u>

  • y = x - 4
  • 2x + y = 2

<u>Solving by substitution</u>

  • 2x + (x - 4) = 2
  • 3x - 4 = 2
  • 3x = 6
  • x = 2

<u>Then finding y</u>

  • y = x - 4
  • y = 2 - 4
  • y = -2

Intersection point is (2, -2)

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Can anyone please help me with this???
ira [324]

Answer:

x=8a

Step-by-step explanation:

(3/a) x - 4 = 20

add 4 to both sides

(3/a) x = 24

Divide by 3/a

x = 24 / (3/a)

Use KCF (keep change flip)

x = (24/1) x (a/3)

x = 24a / 3

simplify

x = 8a

3 0
3 years ago
You are told that the average rate of change of a particular function is always negative. What can you conclude about the graph
ira [324]
A negative average rate of change means that as x increases, y decreases. That means that the graph goes down to the right.
6 0
3 years ago
A baker purchases flour each week from a wholesale warehouse. The chart shows the quantities and prices available this week. If
scZoUnD [109]

The chart showing the quantities and prices is;

Best Deal 1

Quantity of Flour Price

3 pounds $5.25

5 pounds $9.75

7 pounds $12.60

10 pounds $14.20

12 pounds $18.24

Answer:

difference between last weeks best deal = $0.3

Step-by-step explanation:

Let's calculate the unit price for each of the quantities in the chart.

For quantity of 3 pounds;

We have; unit price = 5.25/3 = $1.75

For 5 pounds;. Unit price = 9.75/5 = $1.95

For 7 pounds; unit price = 12.6/7 = $1.8

For 10 pounds; unit price = 14.2/10 = $1.42

For 12 pounds; unit price = 18.24/14 = $1.3

Thus, last weeks best deal is the lowest = $1.3

Thus; difference between last weeks best deal is given as;

= this weeks best deal - last weeks best deal

This gives;

$1.6 - $1.3 = $0.3

6 0
2 years ago
Find the Gcf of 28 and 42
Oksana_A [137]

28 = 2 * 2 * 7

and

42  = 2 * 3 * 7

GCF =  2 * 7 = 14

4 0
3 years ago
Denali, North America's highest peak, is 20,310 feet above sea level. Death Valley is 282 feet below
Artyom0805 [142]

Answer:

The difference between the two position = 20,028 feet

Step-by-step explanation:

North America highest peak distance above sea level = 20,310 feet

Death valley distance below the sea level  = 282 feet

Let the sea level be = X

Highest peak point = Y

Death valley point = Z

So As per question

Distance from X to Y = 20,310 feet

Distance from X to Z = 282 feet

So, difference between two points = (X + Y )  - (X + Z ) = Y - Z

So , Y - Z = (20,310) - (282) = 20,028 feet

Hence the difference between the two position = 20,028 feet  Answer

8 0
3 years ago
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