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Mekhanik [1.2K]
3 years ago
6

Is d=45t a linear function

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

There is a direct relationship between d and t.

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Alisiya [41]
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3 0
3 years ago
Can someone plz help me with this
slava [35]

Answer:

Step-by-step explanation:

2a. f(-3) = (-3)^2-4(-3)+6 = 9+12+6 = 27

2b. f(-2) = 3(-2)^2-(-2)^3 -2 +1 = 3(4) - (-8) -2 +1

= 12+8-1 = 19

8 0
2 years ago
Select the correct answer.
EleoNora [17]

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = \frac{y_2-y_1}{x_2-x_1}

                           = \frac{3-1}{-2+3}

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-1}{-1-0}

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = -\frac{6}{5}

x = -1\frac{1}{5}

From equation (1),

y = 2x + 7

y = -\frac{12}{5}+7

  = \frac{-12+35}{5}

  = \frac{23}{5}

  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

5 0
3 years ago
What is the volume of this pyramid?<br><br> • 7560 cm³<br> • 5040 cm³<br> • 2520 cm³<br> • 1728 cm³
gavmur [86]

Answer:

Volume = 2520 cm^3.

Step-by-step explanation:

The volume of a pyramid = 1/3 * area of the base * height.

The base of this pyramid is a triangle and its area

= 1/2 * 18 * 24 cm^2 so the volume of the pyramid is:

1/3 * 1/2 * 18 * 24 * 35

= 2520 cm^3.

6 0
3 years ago
There is 1/3 gallon of water in a 3-gallon container. What fraction of the container is filled?​
mina [271]

Answer:

ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH

Step-by-step explanation:=1/9

6 0
2 years ago
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