How do i identify the slope,y intercept,x intercept, and zero on a graph

Answers

Answer 1
Answer:

To find the slope of a line, you need to find the change in x over the change in y, or rise over run. You can do this by taking two points and using the formula (y_(2) -y_(1))/(x_(2) -x_(1)).

To find the y-intercept, find where the graph touches the y-axis.

To find the x-intercept, find where the graph touches the x-axis.

Zeroes on a graph are the same as its x-intercepts.


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Francine Flicka found a bargain when she bought a lawn mower. She paid the store's clerk three $20 bills and received him $7.45 in change. If the sales tax is 7.3%, what was the selling price of the mower before taxes? $56.39

$53.55

$52.55

$48.97

Answers

Answer:

  $48.97

Step-by-step explanation:

Let p represent the marked price of the mower. Then the price with tax is ...

  with tax = p + 7.3%×p = 1.073p

The amount Flicka paid is the amount tendered less the change she received, so is ...

  3×$20 - 7.45 = with tax = 1.073p

To find p, we can divide by its coefficient:

  (3 × $20 - 7.45)/1.073 = p ≈ $48.97

The selling price before taxes was $48.97.

_____

Comment on the problem

If you check the answer, you find the amount with tax is ...

  $48.97 × 1.073 ≈ $52.54481 ≈ $52.54

so the change Flicka would have received would have been $7.46, not $7.45. If the price were $48.98, then the change would have been $7.44. There is no price at which the mower can be marked that will make the total with tax come to $52.55. There is no solution to this problem.

Answer:

$48.97

Step-by-step explanation:

She paid three $20 bills

3 × 20 = $60

She received $7.45 change

60 - 7.45 = $52.55

The mower was for $52.55 with sales tax.

The sales tax is 7.3%.

Before the sales tax (reduce tax).

52.55 × (1-7.3%)

= $48.97

Although Dan's psychology class is sometimes longer or shorter than usual, on average each class is 50 minutes. If the lengths of these classes form a normal curve, which statistic would enable Dan to estimate the probability that any single class will last somewhere between 47 and 53 minutes?

Answers

Answer:

the sample standard deviation

Step-by-step explanation:

The statistic that would enable Dan to estimate the probability that any single class will last somewhere between 47 and 53 minutes is the sample standard deviation. If we have the mean and the standard deviation and we know that the lenghts of the classes form a normal curve, we can compute probabilities either with the empirical rule or using a table of probabilities from a book. The normal distribution is completely determined with the mean and the standard deviation.

1. Find the surface area of the sphere 40 feet​

Answers

Answer:

r≈1.78

Step-by-step explanation:

This question was on the most recent SAT Mathematics Level 2 test. If two spheres with unequal diameters intersect, what could be the intersection?a. a point
b. a circle
c. a sphere
d. a point or a sphere
e. a circle or a sphere

99 points. Please provide a detailed and explanative answer.

Answers

It could be a point or a circle.

If the two spheres are tangent, then the intersection is by definition a point.

Since the two spheres are of unequal diameter, their intersection can't be a sphere (that can only happen if the spheres are of the same diameter and at the same point, then they overlap everywhere).

Now what happens if the two spheres are drawn close to each other a random way ? Well, they will intersect along a circle [see the image attached].

If you want more explanations/..., feel free to ask.

A Circle or point is your answer

See attached pictures

On the map of an amusement park on a coordinate grid, the skating rink is at (−1.5, −1).Coordinate grid shown from negative 3 to positive 3 on x-axis and negative 3 to positive 3 on y-axis. There are increments of 1 over 2 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis.

Which of these shows how to plot the point to mark the skating rink?

From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.
From the origin, move 1 unit to the left along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1 unit to the right along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1.5 units to the right along the x-axis and 1 unit vertically down, and place the point.

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the skating rink is at (−1.5, −1).

Here, x-coordinate is -1.5 and y-coordinate is -1.

In a point P(a,b),

If a>0, then the point P is a units right from the origin and if a<0, then the point P is a units left from the origin.

If b>0, then the point P is b units up from the origin and if b<0, then the point P is b units down from the origin.

It the given point (-1.5, -1), a=-1.5 and b=-1 both are negative.

From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.

Therefore the correct option is 1.

The first option is correct.

Moving 1.5 units to the left (or -1.5 units to the right).
Moving 1 unit down (or -1 unit up).

Therefore you get the result of (-1.5, 1) as is the location of the rink.

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2f(x) = x3 – x2 – 4x + 4
f(x) = x4 – 3x2 – 4
f(x) = x4 + 3x2 – 4
f(x) = x3 + x2 – 4x – 4

Answers

Hello,

ANSWER B (x^4-3x²-4) [roots are i,-i,2,-2]

Your answer is f(x) = x4 – 3x2 – 4

Hope this helps.