A baseball player gets 18 hits in the first 21 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 28 games?

In the first 28 games, he'll get how many hits.

49. [tex]x = \dfrac{1}{a}[/tex] and [tex]y = 3[/tex]

50. [tex]x = \dfrac{1}{2a}[/tex] and [tex]y = \dfrac{1}{b}[/tex]

Step-by-step explanation:

We are going to solve these systems of equations using the elimination method.

49. Given:

[tex]5ax + 4y = 17[/tex] (1)

[tex]\:\:ax + 7y = 22[/tex] (2)

Multiply Eqn(1) by 7 and multiply Eqn(2) by -4 to get

[tex]\:\:35ax + 28y = 119[/tex]

[tex]-4ax - 28y = -88[/tex]

Adding the two equations above, we get

[tex]31ax = 31 \Rightarrow x = \dfrac{1}{a}[/tex]

Substituting this value for a into Eqn(2), we get

[tex]y = 3[/tex]

50. Given:

[tex]4ax + \:\:by = 3[/tex] (3)

[tex]6ax + 5by = 8[/tex] (4)

Multiplying Eqn(3) by -5, we get

[tex]-20ax - 5by = -15[/tex]

[tex]\:\:\:\:\:\:6ax + 5by = \:\:8[/tex]

Adding the two equations above, we get

[tex]-14ax = -7 \Rightarrow x = \dfrac{1}{2a}[/tex]

Plugging in the value of x into Eqn(3), we get the value for y as

[tex]4a(\frac{1}{2a}) + by = 3[/tex]

or

[tex]2 + by = 3 \Rightarrow y = \dfrac{1}{b}[/tex]

Richard: 12 cookies

Meghan: 10 cookies

If Richard eats 4 cookies, then Meghan would eat half, or 2. So Richard would have 8 cookies, and Meghan would also have 8 cookies.

12 - x = 10 - x/2

If x = 4

12 - 4 = 10 - 4/2

8 = 8

Which confirms that Richard would have to eat 4 cookies for them to have the same amount.

I hope this helps! :)

We need to find distance they travel as a function of time. This simply means that x is the function of time. The destination is 120 miles away, this is irrelevant for the question that is currently being asked. However, we know that they have already travelled 20 miles and are going 50 miles and hour. So lets plug in what we have.

50 is our rate of change, so we match that with the x.

20 is our constant, the distance already travelled.

This means our function is:

f(x) = 50x + 20

This means our answer is D) f(x) = 50x + 20

Lets also plug in 120 to solve how much further they need to travel before arriving.

120 is our f(x) as it is the final distance travelled.

120 = 50x + 20

120-20 = 50x

100 = 50x

100/50 = x

2 = x

This means that they need to travel 2 hours in addition to the 20 miles they have already gone.

I hope I've helped! :)

Answer:

both are c

Step-by-step explanation:

Answer:

70 feet

Step-by-step explanation:

35 x 2 = 70

Answer:

c

Step-by-step explanation:

I think that is the answer

Answer:

c

Step-by-step explanation:

it is equal to.

Check the picture below.

Answer:

C 18

Hope this helps

Answer:

Area= 100 inches square.

Step-by-step explanation:

4(x-1)=36

4x-4=36

4x=40

x=10

10×10=100

Answer:

Terms are the things that are separated by a (+) or a (-).

Step-by-step explanation:

16x^3 - 4x^2 -4x+1

I don't think I'm right...

Answer:

-4[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I hope this helps!

Option D

step by step explanation:

[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]

The inverse of the given function is represented as f' ( x ) = x³ - 10

A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.

Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the function is depicted as f ( x ) = ∛( x + 10 )    

Simplifying results in

The function's inverse is obtained by swapping the x and y variables.

So ,

y = ∛( x + 10 )

x = ∛( y + 10 )

On solving for y , we get

y = x³ - 10

And , the inverse is f' ( x ) = x³ - 10

The function is therefore f' (x) = x³ - 10.

Go here to read more about the function rule.

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Answer:

$76

Step-by-step explanation:

Based on the information given, the value of the two numbers will be 2 and 1 respectively.

The equation to solve the question will be:

7a + 8b = 22 .... i

5a + 8b = 18 ..... ii

Subtract equation ii from I

2a= 4

a = 4/2

a = 2

Therefore, 7a + 8b = 22

7(2) + 8b = 22

14 + 8b = 22

8b = 22 - 14.

8b = 8

b = 8/8 = 1

Therefore, the numbers are 2 and 1.

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Variance is the exact average deviation of data values from the mean in squared units and the Standard deviation of data values from the mean in regular units.

Variance is a statistical measure of the dispersion of numbers in a data collection. Variance estimates how much more each number in the set deviates from the mean, and from each and every other number in the set.

The variance is a measure of the degree of variability. It is determined by averaging the squared deviations out of the mean.

The greater the spread of the data, the greater the variance in proportion to the mean.

The standard deviation is determined as the square root of variance by calculating the departure of each data point from the mean. The standard deviation represents the average level of variation in your dataset. It informs you how far each number deviates from the mean on average.

Learn more about Variance here:

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1. 5

2.2

3.2,5

4.2,5

5.2

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PLS FOLLOW:)

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9514 1404 393

Answer:

  A.  x −3y = 6; 5x −y = 10

Step-by-step explanation:

The first table gives the x- and y-intercepts, so you can write the equation for the line in intercept form as ...

  x/a +y/b = 1 . . . . . . x-intercept = a; y-intercept = b

The x-value with y=0 is a=6; the y-value with x=0 is b=-2. So, the equation of the line for the first table is ...

  x/6 +y/-2 = 1

Multiplying by 6 gives ...

  x -3y = 6

The only matching equation is in answer choice A.

__

You can check that the second given equation in choice A matches the second table:

for (x, y) = (-3, -25), you have ...

  5(-3) -(-25) = -15 +25 = 10 . . . . as required

Answer:

191

Step-by-step explanation:

All you have to do is 127+64 to get the total before the withdrawal.

Answer:

0.2

Step-by-step explanation:

30: 1

6:?

cross multiply

(6*1)/30

ans:0.2cm

The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft

We know that the circumference of a circle of diameter D is given by:

C = 3.14*D

Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:

C = 3.14*10ft = 31.4 ft

You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.

If you want to learn more about circles, you can read:

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Answer:

8

Step-by-step explanation:

Answer:

B minor axis..................:)

Answer:

[tex] \: [/tex]

A. The sales tax will be $ 22.999425

so, the sales tax » $ 23

5.75 % of $ 399.99

B. The Total Purchase will be →

or

Answer:

(-1,-1)A

B (1,-3)

C (-2,-4)

Answer:

5

Step-by-step explanation:

22-2x ... (equation-1)

(x=-5)

Substituting the value of x in equation 1

22-2(x-5)

20(x-5)

20x-100

20x=100

x=100/20

x=5

Hope it helps

Answer: A) y = x + 3

Step-by-step explanation:

Use two points given in the table and plug them into slope-intercept form y = mx + b.

In order to solve for m, the slope, by plugging them into  [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].

(0, 3) (2, 5)

[tex]\frac{5-3}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Use one of the points and plug it into the slope-intercept form y = mx + b.

3 = 1(0) + b

3 = 0 + b

3 = b

The linear equation to the table would be y = x + 3.