Using the slope formula, find the slope of the line through the given points. (4,9) and (6,1)

Answer:

The answer is 72.578 :))

Step-by-step explanation:

I got it right in my exam

Answer:

Given equation is:

x/4 = 16

Multiply both side of equation by 4

4* x/4 = 16*4

x= 64

Step-by-step explanation:

This is called Multiplication property of Equality.

If you multiply equation by a number on both sides, it remain same or balance.

The equation x/4 =16 is solved by multiplying both sides by 4, resulting in x = 64. This action is justified by the Multiplication Property of Equality.

To solve the equation x/4 =16, the action one would use is to multiply both sides of the equation by 4. This operation will isolate the variable 'x'.

Your equation would thus be transformed as: 4 * (x/4) = 16 * 4. This simplifies to x = 64.

The property that justifies this action is the Multiplication Property of Equality, which states that multiplying both sides of an equation by the same non-zero number does not change the equality.

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same here bro, god loves you

Round 56.82 up to 57 divide that by 5 and your answer should be 11.40 per member

Answer:

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

Step-by-step explanation:

Here given that a basketball player that shoots 80% from the free throw line attempts two free throws.

If x is the no of shoots he makes (say) then we find that each throw is independent of the other.

In other words, because he made successful first attempt, his chances for second attempt will not change

Prob for success in each attempt remains the same as 0.80

Hence I throw is independent of II throw.

When A and B are independent,then we have

P(A/B) = P(A)

Hence answer is

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

The probability of spinning a 3 or drawing a king is approximately 0.2769231, or around 27.69%.

The question is asking us the probability that Fred spins a 3 from a spinner numbered 1 to 5 or draws a king from a standard 52-card deck. This involves the concept of probability, which requires us to look at the total possibilities and the outcome we are interested in.

Probability of spinning a 3 from the spinner numbered 1 to 5 is 1/5 or 0.2 because there is one favorable outcome (spinning a 3) out of 5 total outcomes (the numbers 1 to 5).

A standard 52-card deck has four kings (one from each suite; clubs, diamonds, hearts, and spades). So, the probability of drawing a king is 4/52, which also simplifies to 1/13 or approximately 0.0769231.

In this problem, we're looking at Fred spinning a 3 or drawing a king, hence we use the principle of addition in probability. The total probability will be the sum of the two individual probabilities, which is 0.2 + 0.0769231 = 0.2769231.

So, the probability that Fred spins a 3 or draws a king is approximately 0.2769231 or 27.69% when expressed as a percentage.

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Answer:

The correct option is A.

Step-by-step explanation:

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]          ..... (1)

Where, (h,k) is vertex and a is a constant.

From the given graph it is clear that the vertex of the graph is (3,-7) and y-intercept is (0,2).

Substitute h=3 and k=-7 in equation (1).

[tex]y=a(x-3)^2-7[/tex]

The y-intercept is (0,2). So, substitute c=0 and y=2 in the above equation to find the value of a.

[tex]2=a(0-3)^2-7[/tex]

[tex]2+7=a(3)^2[/tex]

[tex]9=9a[/tex]

Divide both sides by 9.

[tex]1=a[/tex]

The value of a is 1.

Substitute a=1, h=3 and k=-7 in equation (1).

[tex]y=1(x-3)^2-7[/tex]

[tex]y=x^2-6x+9-7[/tex]

[tex]y=x^2-6x+2[/tex]

The equation of the parabola is [tex]y=x^2-6x+2[/tex].

Therefore the correct option is A.

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

[tex]0.05n+0.25q=2.85[/tex]    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

[tex]n=q+3[/tex]   ................(2)

Plug in the value of 'n' from (2) in (1)

[tex]0.05(q+3)+0.25q=2.85[/tex]

= [tex]0.05q+0.15+0.25q=2.85[/tex]

[tex]0.30q=2.70[/tex]

[tex]q=9[/tex]

As [tex]n=q+3[/tex] we get, [tex]n=9+3=12[/tex]

Hence, there are 12 nickels and 9 quarters.

To find the cost of each concert ticket for a family of four, divide the total cost, $104, by the number of tickets, which is 4. The resulting cost per ticket is $26.

The student is asking for help with a simple division problem. A family purchased concert tickets for a total of $104, and we know there are four tickets purchased since it's a family of four. To find the cost of each ticket, we have to divide the total cost ($104) by the number of tickets (4).

Step-by-Step Solution:

Determine the total spent: $104.

Determine the number of tickets: 4.

Calculate the cost per ticket: $104 ÷ 4 = $26.

Therefore, the cost of each concert ticket was $26.

he will be 55 in 1999

Answer:

The answer would be D.) $70.00

Step-by-step explanation: First multiply $3.00 by 10, so 3*10=30. Then you multiply $2.00 by 20, so 2*20=40. Then add those together 40+30=$70.

Answer:

A) x + 0

Step-by-step explanation:

In triangle ABC, the coordinates are: A(1, -1), B(1, -5) and C(4, -5)

In triangle A'B'C', the coordinates are: A(1, -5), B(1, 1) and C(4, 1)

Look at the x-coordinates in both the triangles remains the same because the triangles are reflected over x-axis, therefore, only the y-coordinate changes.

Therefore, the rule for x-coordinates = x + 0

Answer: A) x + 0

Hope this will helpful.

Thank you.

Answer:a

Step-by-step explanation:

Answer:

6:8, 9:12

Step-by-step explanation:

Answer:

6:8 9:12

Step-by-step explanation:

ANSWERS

Find out the how many weeks will it take for Mary and Joe to have the same amount saved.

To proof

Let us assume that the number of week take for Mary and Joe to have the same amount saved be x.

As given

Mary start with $10 and earns $10 each week mowing lawn.

Joe already has $20 from birthday gifts and earns five dollars a week pulling weeds.

than the equation

10 + 10x = 20 +5x

5x = 10

x = 2 weeks

therefore 2 weeks will it take for Mary and Joe to have the same amount saved.

Hence proved

I know that i had it on a test its -2.11 Hope you ace it!

-2.11 hope this helps

Final answer:

A division equation that has a solution of -20 can be written by dividing a negative number by a positive number, such as -100 divided by 5.

Explanation:

To write a division equation with a solution of -20, you can choose any two numbers such that the division of one number by the other equals -20. For example, if we take -100 and divide it by 5, we get -20 as the solution. Thus, a sample division equation could be:

-100 / 5 = -20.

This is because when you divide a negative number by a positive number, the result is negative, and -100 \/ 5 leads to the desired solution of -20.

Answer: C

Step-by-step explanation:

A) not completely factored because 2 can be factored out of 2x + 4

B)  not completely factored because 3 can be factored out of 3x - 9

C) CORRECT

D) not factors because the terms are added instead of multiplied

Thus, (x - 2) + (x + 3) is not a quadratic equation. Then A, B, and C are the quadratic equation.

It is a polynomial of maximum power 2. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A.  (2x + 4)(x - 3)

On multiplying

2x² - 2x -12

B.  (x - 1)(3x - 9)

On multiplying

3x² -12x + 9

C.  (x + 4)(x - 3)

On multiplying

x² + x - 12

D.  (x - 2) + (x + 3)

On multiplying

2x + 1

Thus, (x - 2) + (x + 3) is not a quadratic equation. Then A, B, and C are the quadratic equation.

More about the quadratic equation link is given below.

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Answer: 3x - 5

Step-by-step explanation:

1. Expand:

7x - 14 - 4x + 9

2. Collect like terms:

(7x - 4x) + (-14 + 9)

3. Simplify:

3x - 5

Hope this helps! :)

The answer is 3x-5.

Hope this helps!

40 mins is the answer

10 mins-4

20mins-8

30mins-12

40mins-16

answer=2X8+3X5=16+15=31

Answer:

a)  8x^2 + 4x + 9

Step-by-step explanation:

To find the total number of red and pink geranium pots, we need to add the two expressions given for the number of pots for red and pink respectively.

x (7x - 2) + (x + 3)^2

Expanding x (7x - 2) gives (7x^2 - 2x)

Expanding (x + 3)^2 gives (x^2 + 6x + 9)

Adding the like terms in these two expanded expressions:

(7x^2 - 2x) + (x^2 + 6x + 9)

= 7x^2 + x^2 + 6x - 2x +9

8x^2 + 4x + 9

Answer:

A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.

There are x(7x − 2) pots of red geraniums and (x + 3)^2 pots of pink geraniums in a section with x sprinklers.

Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)

a

8x^2 + 4x + 9

b

8x^2 + 6x + 9

c

8x^2 + 6x + 7

d

8x^4 + 4x^2 + 9

Is that what you mean,  Jalenschaefer12? The way you had it made it confusing. If you want to do an exponent just do the carat sign (^), then a number, for example 4^22.

Answer:

Refer below

Step-by-step explanation:

a) a and b are the lower and higher values of the interval for which uniform distribution is defined.

Here a= 6 and b =10

b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8

Or int x (1/4) dx = x^2/8 = 8

c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12

= 36/12 =3

Std dev = sq rt of 3 = 1.732

d) To find total area

PDF of the distribution = 1/(b-a) = 1/4, 6<x<10

Area = \int 6 to 10 of 1/4 dx

= x/4

Subtitute limits

= (10-6)/4 =1

So total area = 1

d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4

e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2

Probabilities are used to determine the chances of events

The values of a and b

The interval is given as 6 to 10.

So, the values of a and b are 6 and 10, respectively.

The mean

For a uniform distribution, the mean is:

[tex]\bar x = \frac{a + b}{2}[/tex]

So, we have:

[tex]\bar x = \frac{6 + 10}{2}[/tex]

[tex]\bar x = 8[/tex]

Hence, the mean is 8

The standard deviation

For a uniform distribution, the standard deviation is:

[tex]\sigma = \sqrt{\frac{b^2 - a^2}{12}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{10^2 - 6^2}{12}}[/tex]

[tex]\sigma = 2.31[/tex]

Hence, the standard deviation is 2.31

The total area

This is calculated as:

[tex]A = \int\limits^b_a \frac{1}{b - a}\ dx[/tex]

So, we have:

[tex]A = \int\limits^{10}_6 \frac{1}{10 - 6}\ dx[/tex]

[tex]A = \int\limits^{10}_6 \frac{1}{4}\ dx[/tex]

Factor out 1/4

[tex]A = \frac{1}{4}\int\limits^{10}_6 \ dx[/tex]

Integrate

[tex]A = \frac{1}{4} * x|\limits^{10}_6[/tex]

Expand

[tex]A = \frac{1}{4} * (10 - 6)[/tex]

[tex]A = 1[/tex]

Hence, the total area of the distribution is 1.00

The probability of a value more than 7

This is calculated as:

[tex]P(x > 7) = \frac{1}{4} * x|\limits^{10}_7[/tex]

Expand

[tex]P(x > 7) = \frac{1}{4} * (10 - 7)[/tex]

[tex]P(x > 7) = 0.75[/tex]

Hence, the probability of a value more than 7 is 0.75

The probability of a value between 7 and 9

This is calculated as:

[tex]P(7 < x < 9) = \frac{1}{4} * x|\limits^9_7[/tex]

Expand

[tex]P(7 < x < 9) = \frac{1}{4} * (9 - 7)[/tex]

[tex]P(7 < x < 9) = 0.50[/tex]

Hence, the probability of a value between 7 and 9 is 0.50

Read more about probability at:

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Given function is

[tex]f(x)=\sqrt{5x-5}+1[/tex]

Now we have to find which inequality can be used to find the domain.

Given function is a square root function. We know that square root function is defined only for the positive values including 0. In other words expression inside the square root must be greater than or equal to 0.

In given problem, expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

[tex]5x-5\geq 0[/tex]

which is same as your answer.

Hence your answer is correct.

Answer:

Step-by-step explanation:

answer is D

The vertex of the function corresponds to the maximum velocity of the particle.

The vertex of a function corresponds to the maximum or minimum value of the function. In this case, the vertex corresponds to the maximum velocity of the particle. The maximum velocity occurs when the slope of the velocity function is zero, which is the point where the acceleration function crosses the x-axis.

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x^2 - 3(x^2 + 3x - 1)

Distributive property.

x^4 + 3x^3 - x^2 - 3x^2 - 9x + 3

Combine like terms.

x^4 + 3x^3 - 4x^2 - 9x + 3

First answer is  DE≅ EF

Second answer is DE=EF by the ''segment congruence postulate''

Third answer is DE * EF + DF by the ''segment addition postulate''

The fourth answer is  DE + DE = DF

Good luck!!!