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3 years ago

Explain how a function graph can be used to help verify that a function is factored correctly

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

8 0

By factorising a function, you can find the value of x-intercepts by substituting f(x)=0

By plotting a graph, you can check the values of x-intercepts

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Write the equation of the perpendicular bisector of the segment AB.<br> A (1, 5) and B (7, -1)

timofeeve [1]

Answer:

The equation of the perpendicular bisector of the segment AB is $y = x - 2$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

Equation of the perpendicular bisector of the segment AB.

Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.

Midpoint of segment AB:

Mean of their coordinates x and y. So

(1+7)/2 = 4

(5-1)/2 = 2

So (4,2).

Slope of segment AB:

When we have two points, the slope between them is given by the change in y divided by the change in x.

In segment AB, we have points (1,5) and (7,-1). So

Change in y: -1 - 5 = -6

Change in x: 7 - 1 = 6

Slope: -6/6 = -1

Equation of the perpendicular bisector:

The slope, multiplied with the slope of segment AB, is -1. So

$-1m = -1$

$m = 1$

$y = x + b$

Passes through (4,2), which means that when $x = 4, y = 2$ . So

$y = x + b$

$2 = 4 + b$

$b = -2$

$y = x - 2$

7 0

3 years ago

PLEASE HELP I don't understand at all please help

daser333 [38]

I would use the Law of Sines to solve this problem.
The angle next to the 58 degree angle is 122 degrees. The side opposite this angle is 3.72 km.
The angle we need to find is at the cave. The side opposite this angle is 2.60 km.
(Sin 122/3.72) = (Sin x/2.60)
Cross multiply to solve.
3.72 Sin x = 2.60 Sin 122
Divide both sides by 3.72
Sin x = (2.60 Sin 122)/3.72
Sin^-1 x = (2.60Sin122)/3.72
x = 36 degrees

7 0

3 years ago

The quick ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces.

Volgvan

Complete question :

The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?

A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces

B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60

Answer:

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

Step-by-step explanation:

The shipping rates are :

C(w) = 0.45w

Second rate :

C(w) = 0.35w + 1.6

For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.

However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.

3 0

2 years ago

Can you guys help with these questions??

Lostsunrise [7]

Answer:

Step-by-step explanation:

<3 = 55° ( vertically opposite angles )

<4 = 180 - 105 = 75° ( linear pair )

<5 = 180 - ( 55 + 75 ) ( angle sum property of a triangle )

= 180 - 130

= 50°

<1 = <2 ( angles opposite to equal sides )

let < 1 and < 2 be x

55 + 2x = 180 ( angle sum property of a triangle )

2x = 180 - 55

2x = 125

x = 125 / 2

x = 62.5

therefore, < 1 = <2 = 62.5°

Hope this helps

plz mark as brainliest!!!!!!

4 0

3 years ago

Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss i

defon

A balanced coin will have 50:50 chance of showing either head or tail. In this question, you are asked the probability to find the first head after two tosses. That means the toss result should be:
1. tail = 1/2 probability
2. head = 1/2 probability

Previously you are tossing the coin 10 times and obtain zero head. But this previous 10 tosses result should not influence your probability in the 11th and 12th toss. The chance will always be 50:50 no matter how much the tosses count. So the probability should be: 1/2 * 1/2= 1/4

7 0

3 years ago