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2 years ago

Determine whether the equation 2x + y = 8 is linear. If so, graph the function.

1 answer:

3 0

It is linear because both variables have an exponent of 1. (FYI: one of the exponents can be 0 and still be a linear equation).

2x + y = 8

y = -2x + 8 ⇒ slope (m) = -2 and y-intercept (b) = 8

plot the y-intercept (0, 8). then plot the next point by counting the rise over run from the y-intercept. <em>count 2 units down and 1 unit to the right </em>= (1, 6).

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2 years ago

After a 12% increase the cost of a new cooker is £190.40

Svetllana [295]

Answer:

X+.12*x=190.40

X(1+.12)=190.40

X=190.40/1.12=170

X+x+25=100

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X=37.5%

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4 0

2 years ago

3 over 4 x minus 3 +1 over 4x= 2 1over2 minus 1 over 4

Dima020 [189]

It should be $x=5\frac{1}{4}$ .

8 0

2 years ago

PLEASE HELP!!!

Svetllana [295]

Answer:

Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...

Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

6 0

2 years ago

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

LUCKY_DIMON [66]

Answer:

3- False,
4- True

Step-by-step explanation:

<h3>Garden A</h3>

<u>Rectangle with sides</u>

Width ⇒ 2x - 3 feet
Length ⇒ 5(2x - 3) = 10x - 15

<u>Perimeter is</u>

2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36

<h3>Garden B</h3>

<u>Triangle with sides</u>

5x + 5, 4x + 2, 8x - 8

<u>Perimeter is</u>

5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

<h3>Statement 3</h3>

<u>The difference in perimeters is the difference is fencing:</u>

24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

<h3>Statement 4</h3>

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

<u>So the perimeter is going to be:</u>

24x - 36 + 20 =
24x - 16

This statement is TRUE

7 0

2 years ago