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2 years ago

15

Find the domain and range

1 answer:

atroni [7]2 years ago

6 0

Answer:To find the domain and range, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain. To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).

Step-by-step explanation:sorry if i'm wrong

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-3 (5-x) > -4x-7+10x

Anastaziya [24]

Answer:

-8/3

Step-by-step explanation:

8 0

3 years ago

3. Solve using substitution.<br> x - y = 4<br> 3x - 2y = -5

Vedmedyk [2.9K]

<u>Given</u>:

The system of linear equations are $x-y=4$ and $3x-2y=-5$

We need to determine the solution to the system of equations using substitution method.

<u>Solution</u>:

The solution can be determined using the substitution method.

Let us substitute $x=4+y$ in the equation $3x-2y=-5$

Thus, we have;

$3(4+y)-2y=-5$

$12+3y-2y=-5$

$12+y=-5$

$y=-17$

Thus, the value of y is -17.

Substituting $y=-17$ in the equation $x-y=4$ , we get;

$x+17=4$

$x=-13$

Thus, the value of x is -13.

Hence, the solution to the system of equations is (-13,-17)

6 0

3 years ago

How to completely factor 4x²-2x

schepotkina [342]

Answer:

2x(2x-1)

Step-by-step explanation:

$4 {x}^{2} - 2x \\ \\ = 2x(2x - 1) \\$

8 0

2 years ago

The heights of men in the United States are approximately normally distributed with mean 69.1 inches and standard deviation 2.9

Gre4nikov [31]

Answer:

Step-by-step explanation:

Let M be the heights of men in the United States and W be the heights of women in the United States

Given that M is N(69.1, 2.9) and W (63.7, 2.7)

For a husband and wife we have average height as

$\frac{x+y}{2}$ =Z (say)

$Mean =E(z) = \frac{1}{2} [E(M)+E(W)] = 66.4 inches$

Var (Z) = $Var (\frac{x+y}{2} )=\frac{1}{4}[Var(x)+ Var(y)+2 cov (x,y)]\\$

= $0.25[2.9^2+2.7^2+2*r*sx*sy]\\= 0.25(20.398)\\=5.0995$

Mean = 66.4" and std dev = 2.258

7 0

2 years ago

Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the sam

Travka [436]

Answer:

2 hours 15 minutes

Step-by-step explanation:

Given that :

Ben's speed = 3 mi/hr

One and half hours after Ben leaves = 1.5 hours

Ben's distance = 3 mi/hr * 1.5 = 4.5 miles

Amanda's speed = 5 mi/hr

Time taken before Amanda catches up:

Let time taken = x

Distance = speed * time

Ben's distance = Amanda's distance

4.5 mi + (3 * x) = 5 * x

4.5 + 3x = 5x

4.5 = 5x - 3x

4.5 = 2x

x = 4.5 / 2

x = 2.25 hours

Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes

7 0

2 years ago