Find the X-intercept and Y-Intercept of the line. Write your answer as exact values. do not write your answer as order pairs

First let's write down the batting averages of the first player in ascending order:-

0.248, 0.248, 0.295, 0.302, 0,307, 0,369

The difference between the largest value and the minimum value will give us the range:-

So range for the first player will be = 0.369 - 0.248 = 0.121

Now let;s calculate the mean of the first palyer's batting averages

Now let's write down the batting averages of the second player in ascending order

0.231, 0.263, 0.272, 0.275, 0.349, 0.384

So the range for second player will be:-

0.384-0.231= 0.153

Now let;s calculate the mean of the second palyer's batting averages

The mean for second player is 0.296 (approx)

And the mean for the first player is 0.295 (approx)

Since the mean avarage of both the players is almost same but the range of second player is more than that of first player, so the second player has good batting skills as compared to the first player.

Solution

For this case we can see from the image given that the value for BC is:

4x units

since that represent the lenght of the side

Equation of a Line

The equation of a line that passes through the point (h, k) and has a slope m, is given by:

This is known as the point-slope form of the line.

We already know the coordinates of the point (1, 1) but we don't know the value of the slope m. We will find it out by using the rest of the data.

Our line is perpendicular to the function:

At the given point. To find the slope of the tangent line, we use derivatives:

Substitute x = 1:

Now we know the slope of the tangent line, but our line is perpendicular to that line, so we find the perpendicular slope with the formula:

We're ready to find the required equation. Substituting the coordinates of the point and the just-found slope:

This is the point-slope form, but maybe it's required to find the slope-intercept form. Multiply by 4:

This is the answer is slope-intercept form

To the nearest tenth, the area of triangle XYZ is approximately 14.7 units².

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.

There are three sides and three angles in every triangle, some of which may be the same.

Triangles can be divided into three groups based on the lengths of their sides, and these groups are as follows: Scalene, Isosceles, and Equilateral.

So, the area of the triangle is:

We know that:

<YXZ = 102°

Length of XY = z = 3

Length of YZ = x = 11

Length of XZ = y = ?

The perimeter of the triangle:

x+y+z = 24 units

Length XZ = y:
11+y+3 = 24

14+y = 24

y = 24 - 14

Therefore, y = 0.

Area of triangle XYZ:

The formula for trigonometric area is area of XYZ = 12(yz)sin X.

Putting values of x, y, and z as follows:

Area of ∆ XYZ = ½×10×3×sin 102

= ½×30×0.9782

= 15 × 0.9782

= 14.673

Therefore, to the nearest tenth, the area of triangle XYZ is approximately 14.7 units².

Know more about triangles here:

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Correct question:

What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units

We have the following:

We have a solution pair is (x, y), in this case then x = 3, replacing we have

The answer is: (3, 3)

We have the expression:

We have to evaluate it for p = 4 and q = 8.

To do that, we replace the variables p and q with the given values and calculate:

Answer: The value of the expression when p = 4 and q = 8 is -12 [Second option]

SOLUTION:

The graph of g(x) is the graph of f(x) translated 5 units to the left.

Thus, the equation is;

The eqaution of a line between two points is given by:

Plugging our points we have:

Therefore the equation is:

The area of the fabric can be determined as,

Thus, the required area of the fabric is 19 square inch.

A right triangle is made, with measure:

From definition:

sin(α) = opposite/hypotenuse

From the picture: opposite to α is side of 52 long and the hypotenuse is 200 ft long. Then:

sin(α) = 52/200

sin(α) = 0.26

α = arcsin(0.26)

α = 15°

We are given the following information

Number of shares = 3,000

Buying price of a share = $1.75

Selling price of a share = $2.25

Capital Gains tax = 25% = 0.25

We are asked to calculate the amount of tax that Sally must pay.

Let us first calculate the profit.

Profit is given by

Profit = Selling price - Buying price

The buying price is given by

Buying price = (Number of shares)×(Buying price of a share)

Buying price = 3,000×1.75

Buying price = $5,250

The selling price is given by

Selling price = (Number of shares)×(Selling price of a share)

Selling price = 3,000×2.25

Selling price = $6,750

Profit = Selling price - Buying price

Profit = $6,750 - $5,250

Profit = $1,500

Finally, the amount of tax is given by

Amount of tax = profit × Capital Gains tax

Amount of tax = 1500 × 0.25

Amount of tax = $375

Therefore, Sally is required to pay a tax of $375

Answer:

Explanation:

Given the domain of the function as;

Note that the range of the inverse of a function is the same as the domain of a function is the original function.

So the range of the inverse of the function will be;

As per given diagram:

Take two points on the line (1,1) and (0,4)

For the slope of the line:

Now put the values in the formula:

So the slopw of the given line is -3.

ANSWER:

5/4 and 2

STEP-BY-STEP EXPLANATION:

If we look closely, we notice that the pattern is that 1 is added to the numerator and one is subtracted from the denominator, as follows:

The average cost is given by the next equation:

The graph of the function is

As we can see the parabola opens upwards therefore the minim will be located in the vertex

in our case

b=-0.5

a=0.1

2.5 hundred

Then

Therefore, the shop should build 250 bicycles

When the ball hits the ground, the height of the ball to the ground is h(t) = 0.

Therefore, we can now substitute h(t), and solve the function using quadratic formula.

Using the quadratic formula, substitute the following values a,b, and c.

We have two solutions, t = -4.52494, and t = 5.52494. However, we will disregard the negative time value.

Therefore, the ball will hit the ground after 5.52494 seconds.

y = a b^x

Substitute the first set of points into the equation

-3 = a * b^0

-3 = a * (1)

-3 = a

y = (-3)* b^ x

Now using the second point

-3/2 = -3 * ( b)^1

-3/2 = -3 *b

Divide each side by -3

1/2 = b

y = -3 ( 1/2) ^x

Given that the total money Elise had, was $30.

Since she spent $18 on gifts and the rest on 3 corn dogs.

Let the cost of a corn god be 'x' dollars. Then the cost of 3 corn dogs will be,

So it is found that Elise spent $(3x) on corn dogs.

Since she had spent all the money in buying these two things, the total exprense must be equal to the total money Elise had in the beginning,

Thus, the required equation is obtained.

Therefore, option (a) is the correct choice.

Explanation:

Given that;

In a 60 minute boxing class Abby burns 480 calories.

The rate at which calories are burn during boxing is;

Also;

on a 40 minute run,Abby burns 440 calories,

The rate at which calories are burn during cycling is;

while cycling for 30 minutes,

From the above rate the most efficient exercise at burning calories is the exercise with the highest rate of burning calories.

distance= 112 miles apart

time = 4 hours

Speed of a = 3 *speed of b

Distance covered by a = 3 * distance covered by b

Speed = distance / time

3b+b = 112

4b = 112

b= 112/4

b= 28 miles

a = 3b

a = 3 *28

a= 84 miles

Since both travelled for 4 hours:

Speed of A = 84 /4 = 21 mph

Speed of b= 28 /4 = 7 mph

Speed of the faster cyclist : 21 mph

Answer:

The width of the rectangle is 5

The length of the rectangle is 13

Explanation:

Let's call x the length of the rectangle and y the width of the rectangle.

The length is 2 less than 3 times the width, so

x = 3y - 2

And the area is 65 square meters. Since the area is length times width, we get:

xy = 65

Now, we can replace the first equation x = 3y - 2 on the second one to get

(3y - 2)y = 65

3y(y) - 2y = 65

3y² - 2y = 65

3y² - 2y - 65 = 0

So, using the quadratic equation, we get that the solutions to 3y² - 2y - 65 = 0 are

The solution is y = 5 because the width can't have a negative length.

Then, replacing y = 5 on the first equation, we get:

x = 3y - 2

x = 3(5) - 2

x = 15 - 2

x = 13

Therefore, the length of the rectangle is 13 meters and the width of the rectangle is 5 meters

The situation can be represented by a linear function, which is represented by the following expression:

Since he increased the number of cards by a constant amount each week, that means we have proportionality:

Then, by the slope-point form of the line, we can find the equation and then substitute x=0.

Substituting, x=0.

At the beginning of the collection, he has 150 cards.

Step-by-step explanation:

come on !

the vertex is typically a corner or a (general or local) extreme value or turning point of the curve.

so, what can that point be ?

there is only one candidate : (4, 1).

that means x = 4, y = 1.

that is the 4th answer option.

Given:

To find the vertex, use the vertex formula below:

Where the vertex is: (h, k)

Thus, we have:

Factorize:

EXPLANATION

Considering the addition

Write the numbers one under the other, line up the decimal points.

Add trailing zeroes so the numbers have the same length.

1. 7 9

+ 0. 1 6

+ 1 9. 9 0

----------------

Add each columns of digits, starting on the right and working left.

If the sum of a column is more than ten, 'carry' digits to the net column on the left.

Add the digits of the bolded column: 9 + 6 + 0 = 15

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

Carry 1 to the column on the left and write 5 in the bolded column:

1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

5

Add the digits of the bolded column: 1 + 7 + 1 + 9 = 18

1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

8 5

Carry 1 on the colum to the left and write 8 in the bolded column:

1 1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

8 5

Place the decimal point in the answer directly below the decimal points in the term:

1 1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

.8 5

Add the digits of the bolded column : 1 + 1 + 0 + 9 = 11

1 1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

.8 5

Carry 1 to the column on the left and write 1 in the bolded column:

1 1 1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

1 .8 5

Add the digits of the bolded column: 1 + 0 + 0 + 1 = 2

1 1 1

0 1. 7 9

+ 0 0. 1 6

+ 1 9. 9 0

----------------

2 1 .8 5

The answer is 21.85

Given

When you divide two exponents with the same base number, to simplify the expression you have to calculate the difference between the index from the numberator and the index from the denominator.

In this case the base number is "7"

The index of the numerator is "8"

The index of the denominator is "5"

You can simplify the expression as follows

The solution is

The equation for this polynomial is:

So that's the equation we're asking for.

Both could be the answers. However, this is the final one:

Step 1:

Graphs are essentially a visual display of quantitative information along two axes. Visuals are used as a way for our brains to quickly understand information, which is a powerful tool if used correctly. Graphs can show a large amount of data quickly in a way that is easy to process, without distracting people with a bunch of numbers.

We need to reflect the given figure across the y-axis. Then, we need to write the coordinates of the original and the reflected large dot.

When we reflect a point across the y-axis, its y-coordinate remains the same, and its x-coordinate changes the sign:

The original coordinates of the large dot is: (5,3).

Thus, the coordinates after the reflection will be: (-5,3).

Doing the same with the coordinates of the other vertices and joining them, we obtain the reflected figure, as shown below:

the price before taxes is:

$210 is the price before taxes