You are visiting baltimore, MD and a taxi company charges a flat fee of 3.00 for using the taxi and 0.75 per mile. How much woks a taxi ride for 8 miles cost

Answers

Answer 1

Answer:

Answer: the cost of riding the taxi for 8 miles is $9

Step-by-step explanation:

The taxi company charges a flat fee of 3.00 for using the taxi and 0.75 per mile. This means that the total cost of using the taxi and travelling x miles would be

3 + 0.75x

This is the equation representing the situation.

To find the cost of riding the taxi for 8 miles, we would substitute x = 8 in our equation. It becomes

Therefore, the total cost of riding the taxi for 8 miles would be

3 + 0.75 × 8

= 3 + 6 = $9

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(04.07)Which of the following exponential functions goes through the points (1, 6) and (2, 12)? (2 points) f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)−x f(x) = 2(3)−x

Find the midpoint of the segment with the following endpoints. (6, 4) and (9,9)

Answers

Answer:

15/2, 13/2.

Step-by-step explanation:

Here's a graph as well.

Answer in fraction form = (15/2, 13/2)

Answer in decimal form = (7.5, 6.5)

========================================================

Explanation:

To get the midpoint, we average the two endpoint values. We handle the x and y coordinates separately.

The x coordinates of each point are 6 and 9. They average to (6+9)/2 = 15/2 = 7.5; so you add up the x coordinates and divide by 2.

The y coordinates are handled the same way. Add them to get 4+9 = 13 and then divide by 2 to get 13/2 = 6.5

The midpoint is (15/2, 13/2) = (7.5, 6.5)

Write en rquation for the line passing through point (3,3) and parallel to the line whose equation is y=-(1)/(6)x+7

Answers

Answer:

y = - $(1)/(6)$ x + $(7)/(2)$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = - $(1)/(6)$ x + 7 ← in slope- intercept form

with slope m = - $(1)/(6)$

• Parallel lines have equal slopes , then

y = - $(1)/(6)$ x + c ← is the partial equation of the parallel line

to find c, substitute the point (3, 3 ) for x/ y into the partial equation

3 = - $(1)/(6)$ (3) + c = - $(1)/(2)$ + c ( add $(1)/(2)$ to both sides )

$(6)/(2)$ + $(1)/(2)$ = c , that is

c = $(7)/(2)$

y = - $(1)/(6)$ x + $(7)/(2)$ ← equation of parallel line

Final answer:

The equation of the line passing through point (3,3) and parallel to y = -(1/6)x + 7 is y = -(1/6)x + 3.5, which is achieved by knowing that parallel lines have the same slope and substituting the coordinates of the given point into the y = mx + b (slope-intercept form) and solving for the y-intercept 'b'.

Explanation:

The question asks for an equation of a line that is parallel to the equation y = -(1/6)x + 7 and also passes through the point (3,3). First, it's significant to understand that parallel lines share the same slope. Looking at the equation y = -(1/6)x + 7, we can see that the slope, or 'm' value, is -1/6. Therefore, the slope of our new line will also be -1/6. The conventional form of the equation for a line is y = mx + b where m is the slope and b is the y-intercept. Since we know the slope and have a point that lies on the line, we can substitute these values into this formula to solve for 'b'.

Here's how we do it:

First, substitute the point's coordinates into the equation for the line: 3 = (-1/6)*3 + b

This simplifies to: 3 = -1/2 + b

Then solving for 'b', we get: b = 3 + 1/2 = 3.5

Therefore, the equation of our new line that is parallel to the original line and passes through the point (3,3) is y = -(1/6)x + 3.5.

Learn more about Equation of a parallel line here:

brainly.com/question/402319

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Is sec (11 pi/6) equal to (2 sqrt 3/3)?

Answers

$sec (11 \pi )/(6)= (1)/(cos (11 \pi )/(6) )$
Than: $cos (11 \pi )/(6)= ( √(3) )/(2)$
$(1)/( ( √(3) )/(2) ) = (2)/( √(3) ) = (2 √(3) )/(3)$
Answer:Yes, it is equal.

Yeap. sec (11pi/6) = 1/cos(11pi/6), verifying by calculator, you will get 1.1547, which is the value of 2 sqrt3/3

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdashfinish line is d feet. Express the horizontal distance h as a function of d.