Answer:
x = 2
Step-by-step explanation:
To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".
f(x) = 2x + 1
g(x) = -x + 7
f(x) = g(x) <----- Given equation
2x + 1 = -x + 7 <----- Insert functions
3x + 1 = 7 <----- Add "x" to both sides
3x = 6 <----- Subtract 1 from both sides
x = 2 <----- Divide both sides by 3
Based on the chart on the left, you can see there are 2 dragonflies with the lengths of 3 1/4 inches. Therefore, 2 marks should be made over the 3 1/4 inches spot on the line plot.
Hope this helps
Brainliest would be appreciated
-AaronWiseIsBae
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Answer:
d = |-9-4| = 13
Step-by-step explanation:
The y-values are the same for the two points, so the distance between them on that horizontal line is the difference of x-values.
d = |(-9) -(4)|
d = |-13| = 13
The distance between the points is 13 units.
Answer:
3600!!!
Step-by-step explanation:
6000 divided by 5= 1200
1/5= 1200
1200 x 3= 3600
Answer:
The number of skateboards of each color is 11 and 4
Step-by-step explanation:
Let x represent blue skateboards and
y represent red skateboards.
From the question, the total number of skateboards is 15, that is,
x + y = 15 ...... (1)
and their product is 44, that is,
xy = 44 ...... (2)
From equation (1),
x + y = 15
We can write that
x = 15 - y ...... (3)
Substitute this into equation (2)
xy = 44
(15-y)y = 44
15y -y² = 44
Then,
y² - 15y + 44 = 0
Solve quadratically
y² -4y -11y + 44 = 0
y(y-4) -11(y-4) = 0
(y-11)(y-4) = 0
y-11 = 0 OR y-4 = 0
y = 11 OR y = 4
Put the values of y into equation (3) for x
x = 15 - y
When y = 11
x = 15 - 11
x = 4
and when y = 4
x = 15 -4
x = 11
(4,11) and (11,4)
It is either 4 blue and 11 red skateboards OR 11 blue and 4 red skateboards.
Hence, the number of skateboards of each color is 11 and 4.