-2x^2-3x-9+-3x^2-4+6

Answer:

f(a)=2a

Step-by-step explanation:

The formula of the expression -3a + 6b= a + 4b in terms of a will be f(a) = 2a.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

-3a + 6b= a + 4b

-3a -a = -6b + 4b

-4a = -2b

b = 2a

f(a) = 2a

Therefore, the formula of the expression -3a + 6b= a + 4b in terms of a will be f(a) = 2a.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

Associative property of addition

Step-by-step explanation:

Answer:

The associative property of addition

Step-by-step explanation:

In an equation with 3 or more number numbers being added the placement of parentheses does not change the answer.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Solve for the y-intercept.

9 = 2(7) + b

9 = 14 + b

9 - 14 = 14 + b - 14

-5 = b

y = 2x - 5

______

Best Regards,

Wolfyy :)

Final answer:

The equation of the line with a slope of 2 that passes through the point (7,9) in slope-intercept form is y = 2x - 5, where 2 is the slope and -5 is the y-intercept.

Explanation:

To find the equation of a line with a slope of 2 that passes through the point (7,9), we can use the point-slope form of a line equation, which is:

[tex]y - y_1 = m(x - x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is the point the line passes through. Plugging in our values we get: y - 9 = 2(x - 7).

To convert this to slope-intercept form (y = mx + b), expand the right side to get y - 9 = 2x - 14 and then add 9 to both sides to isolate y, resulting in y = 2x - 5. Here, the m value is 2 (the slope) and the b value is -5 (the y-intercept).

Answer:

25 can.                            

Step-by-step explanation:

Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix  1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

Given: Ratio to make juice with concentrate:water is 1:3.

As required we need to prepare 200 6 ounce serving of Orange juice.

∴ [tex]200\times 6= 1200\ ounce[/tex]

Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.

Now, [tex]x+3x= 1200[/tex]

∴ x= 300 ounce

Next, lets find out how many cans of 12 ounce is required.

[tex]\frac{300}{12} = 25\ cans[/tex]

∴ 25 cans is required to make 1200 ounce of orange juice.

Answer:

42

Step-by-step explanation:

Because she is moving from a 65 degree pool into a 107 degree hot tub so there is a 42 degree difference when she moves to the hot tub from the pool.

Final answer:

To find the value of n² + 5 when n = 3, you substitute 3 for n in the expression to get 3² + 5, which simplifies to 9 + 5, resulting in a final value of 14.

Explanation:

To evaluate the expression n² + 5 when n = 3, we simply substitute the value of n into the expression
1. Substitute 3 for n: (3)² + 5
2. Calculate the square of 3: 3² = 9
3. Add 5 to the result: 9 + 5 = 14
Therefore, the evaluated expression n² + 5 when n = 3 is equal to 14.

Answer:

Part a) [tex]-16t^{2}+35t+1.5=0[/tex]

Part b)

[tex]a=-16\\b=35\\c=1.5[/tex]

Part c) The soccer ball will take 2.23 seconds to reach the ground

Step-by-step explanation:

we have

[tex]h(t)=-16t^{2}+35t+1.5[/tex]

where

t  is the time the ball has been in the air, in seconds

h(t) is the height, in feet, of the  soccer ball

Part a) Write an equation that could be used to determine the time the ball traveled before it hit the ground

we know that

When the ball hit the ground, the value of h(t) is equal to zero

so

For h(t)=0

[tex]-16t^{2}+35t+1.5=0[/tex]

This equation can be used to determine the time the ball traveled before it hit the ground

Part b) Determine the values of a, b, and c

we know that

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^{2}+35t+1.5=0[/tex]

so

[tex]a=-16\\b=35\\c=1.5[/tex]

Part c)  How long will it take for the soccer ball to reach the ground after it was kicked?

Solve the quadratic equation by the formula

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

we have

[tex]a=-16\\b=35\\c=1.5[/tex]

substitute the values

[tex]x=\frac{-35(+/-)\sqrt{35^{2}-4(-16)(1.5)}} {2(-16)}[/tex]

[tex]x=\frac{-35(+/-)\sqrt{1,321}} {-32}[/tex]

[tex]x_1=\frac{-35(+)\sqrt{1,321}} {-32}=-0.04[/tex]  ---> cannot be a solution (is negative)

[tex]x_2=\frac{-35(-)\sqrt{1,321}} {-32}=2.23[/tex]

therefore

The soccer ball will take 2.23 seconds to reach the ground

Answer:

111.15754585272 or 2√3089

Step-by-step explanation:

Here I will show you two methods that you can use to simplify the square root of 12356. In other words, I will show you how to find the square root of 12356 in its simplest radical form using two different methods.

To be more specific, I have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

√12356 = A√B

Greatest Perfect Square Factor Method

The Greatest Perfect Square Factor Method uses the greatest perfect square factor of 12356 to simplify the square root of 12356. This is how to calculate A and B using this method:

A = Calculate the square root of the greatest perfect square from the list of all factors of 12356. The factors of 12356 are 1, 2, 4, 3089, 6178, and 12356. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Calculate 12356 divided by the greatest perfect square from the list of all factors of 12356. We determined above that the greatest perfect square from the list of all factors of 12356 is 4. Furthermore, 12356 divided by 4 is 3089, therefore B equals 3089.

Now we have A and B and can get our answer to 12356 in its simplest radical form as follows:

√12356 = A√B

√12356 = 2√3089

Double Prime Factor Method

The Double Prime Factor Method uses the prime factors of 12356 to simplify the square root of 12356 to its simplest form possible. This is how to calculate A and B using this method:

A = Multiply all the double prime factors (pairs) of 12356 and then take the square root of that product. The prime factors that multiply together to make 12356 are 2 x 2 x 3089. When we strip out the pairs only, we get 2 x 2 = 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Divide 12356 by the number (A) squared. 2 squared is 4 and 12356 divided by 4 is 3089. Therefore, B equals 3089.

Once again we have A and B and can get our answer to 12356 in its simplest radical form as follows:

√12356 = A√B

√12356 = 2√3089

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have the following equation:

[tex]6x + 5y = -5\\5y = -6x-5\\y = - \frac {6} {5} x- \frac {5} {5}\\y = - \frac {6} {5} -1[/tex]

Thus, the slope is: [tex]m = - \frac {6} {5}[/tex]

By definition, if two lines are parallel then their slopes are equal.

Thus, a line parallel to the given line will have a slope: [tex]m = - \frac {6} {5}.[/tex]Therefore, the equation will be of the form:

[tex]y = - \frac {6} {5} x + b[/tex]

We substitute the given point and find "b":

[tex]-4 = - \frac {6} {5} (5) + b\\-4 = -6 + b\\-4 + 6 = b\\b = 2[/tex]

Finally, the equation is:

[tex]y = - \frac {6} {5} x + 2[/tex]

Answer:

[tex]y = - \frac {6} {5} x + 2[/tex]

Answer:

6/60 is 1/10

Step-by-step explanation:

i hour is 6o min so 6/60 is 1/10 that is the fraction of the hour

or these would work too:

10% .1 or 1/10

Answer: 0.100

Step-by-step explanation:

So, you start by 1, 6 divided by 0.1 is 60.

I got to one hundred. 60 times 0.100 is 6.

Therefor your answer is 0.100

Answer:

The value of x is 6 and The value of y is - 4

Step-by-step explanation:

Given as :

The Two linear equation is

- 3 x - 9 y = 18

4 x + 3 y = 12

Now,

4 × ( - 3 x - 9 y ) = 4 × 18

Or, - 12 x - 36 y = 72      ......1

And 3 × ( 4 x + 3 y ) =  3 × 12

or, 12 x + 9 y = 36        .....2

Solving eq 1 and 2

( 12 x + 9 y ) + (  - 12 x - 36 y ) = 72 + 36

Or, 9 y - 36 y = 108

or , 27 y = - 108

∴ y = - [tex]\frac{108}{27}[/tex]

I.e y = - 4

Put the value of y to get x value

So, 12 x + 9 (-4) = 36

Or, 12 x = 36 + 36

or, 12 x = 72

∴  x = [tex]\frac{72}{12}[/tex]

I.e x = 6

Hence The value of x is 6 and The value of y is - 4    Answer

Answer:

 What we are going to do for this case is find the cost for each case:

 Cost to run the car before the mechanic worked on it:

 Cost to run the car after the mechanic worked on it:

 The difference between both cases is:

 Answer:

 It cost to run the car after the mechanic worked on it 0.01 $ / mile less than before the mechanic worked on it.

Read more on Brainly.com - https://brainly.com/question/2528459#readmoreStep-by-step explanation:

Answer:

The manufacturer should decrease the level of unskilled labor by 2 for the total output to stay the same.

Step-by-step explanation:

Q(x,y) = 60 x^⅓ y^⅔

Take the partial derivatives with respect to x and y.

∂Q/∂x = 20 x^-⅔ y^⅔

∂Q/∂y = 40 x^⅓ y^-⅓

So the total differential is:

dQ = ∂Q/∂x dx + ∂Q/∂y dy

dQ = 20 x^-⅔ y^⅔ dx + 40 x^⅓ y^-⅓ dy

If dQ = 0:

0 = 20 x^-⅔ y^⅔ dx + 40 x^⅓ y^-⅓ dy

If x = 10, y = 40, and dx = 1:

0 = 20 (10)^-⅔ (40)^⅔ (1) + 40 (10)^⅓ (40)^-⅓ dy

0 = 20 (4)^⅔ + 40 (1/4)^⅓ dy

-20 (4)^⅔ = 40 (1/4)^⅓ dy

-20 (4)^⅔ (1/4)^⅔ = 40 (1/4)^⅓ (1/4)^⅔ dy

-20 = 40 (1/4) dy

-20 = 10 dy

dy = -2

The manufacturer should decrease the level of unskilled labor by 2 for the total output to stay the same.

To maintain the same level of production when adding one skilled worker, we use calculus to find the necessary change in the number of unskilled workers based on the manufacturer's production function.

The question deals with partial derivatives and their application in the context of production functions. Using calculus, specifically the concept of partial derivatives, we can estimate the change in the number of unskilled workers required to maintain the same level of production when there is an increase in the number of skilled workers. Given the manufacturer's production function Q(x, y) = 60x1/3y2/3, where x is the number of skilled workers and y is the number of unskilled workers, we first calculate the partial derivative of Q with respect to x, Qx, and then find the partial derivative with respect to y, Qy. We then use these derivatives to form an equation that represents the change in y needed to offset the change in x. With x initially at 10 and increasing by 1, and y initially at 40, we can solve for the change in y that keeps the total output constant.

The statement H(30) = H(25) + 5 means that when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old.

The function H(t) tells us Amelia's height in centimeters when she was t months old. So H(30) tells us Amelia's height when she was 30 months old, and H(25) tells us Amelia's height when she was 25 months old.

The equation H(30) = H(25) + 5 tells us that these two values are equal, which means that Amelia was 5 centimeters taller when she was 30 months old than when she was 25 months old.

Learn more about function here : brainly.com/question/29631554

#SPJ3

Answer:

The correct answer is D. 15 squared centimeters.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Base one = 10 centimeters

Base two = 5 centimeters

Height = 2 centimeters

2. Let's find out the area of the trapezoid, using the following formula:

Area = 1/2 (Base one + Base two) * Height

Replacing with real values:

Area = 1/2 (10 + 5) * 2

Area = 1/2 (15 * 2) = 1/2 (30)

Area = 15 centimeters ²

The correct answer is D. 15 squared centimeters.

Note: Same answer provided to question 14021584, answered by me.

Answer:

8:50 A.M

Step-by-step explanation:

You have to add all the numbers.

Example:

5+15+25=45

45 Minutes + 5 Minutes= 50 Minutes=

8:50 A.M

Answer: 8:55AM

Step-by-step explanation:

8:05 AM - 8:10 AM : gather the ingredients

8:10 AM - 8:25 AM: mix the ingredients

8:25 AM - 8:50 AM: bake the cake

5+15+25=45 minutes + 8:05 AM = 8:50 AM

This would be C. 60$

This is because if she got the bag for 50% off, 30 divided by 2 is 15$, 45 divided by 2 is 22.5, 60 divided by 2 is 30$ so option C. Would be your answer.

Answer:

See explanation

Step-by-step explanation:

Which situation can be modeled by the inequality [tex]65-8x\ge 9?[/tex]

Suppose you have $65.

Each day you spend $8.

You want to have at least $9 left.

If x is the number of days you are spending money, what is the maximum number of days you can spend money?

Solution:

Let x be the number of days you are spending money, each day you spend $8, so in x days you spend $8x. Initially, you have $65, so after x days, $(65 - 8x). This amount of money must be no less than $9, so

[tex]65-8x\ge 9[/tex]

The number 64 can be expressed in the form of base powers as 64=8^2, 64=4^3, and 64=2^6.

The number 64 can be expressed as powers of different bases in several ways. The most common notations are as follows: 64 = 8^2, which means that 8 multiplied by itself results in 64. 64 = 4^3, which means 4 multiplied by itself three times equals to 64, and finally, 64 = 2^6, where 2 is multiplied by itself six times to produce 64. Each of these forms express the number 64 in a different base.

https://brainly.com/question/33216070

#SPJ2

Answer:

12%

Step-by-step explanation:

So we know the ratio of left-handed men to men is 3:25. We also know that percent is out of one hundred, so we can do (ratios are essentially fractions) 3/25*4/4+ 12/100. Converting 12/100 to a percent should be simple and you get an answer of 12%

Please let me know if this was correct

Answer:

[tex]76\frac{7}{8}\ lb[/tex]

Step-by-step explanation:

we know that

One box of 12'' weighs 3 3/4 lb

so

To find out the weight of 20 1/2 boxes, multiply the weight of one box by the total number of boxes

[tex]3\frac{3}{4}(20\frac{1}{2})[/tex]

Convert mixed number to an improper fraction

[tex]3\frac{3}{4}\ lb=\frac{3*4+3}{4}=\frac{15}{4}\ lb[/tex]

[tex]20\frac{1}{2}\ boxes=\frac{20*2+1}{2}=\frac{41}{2}\ boxes[/tex]

substitute

[tex]\frac{15}{4}(\frac{41}{2})=\frac{615}{8}\ lb[/tex]

Convert to mixed number

[tex]\frac{615}{8}\ lb=\frac{608}{8}+\frac{7}{8}=76\frac{7}{8}\ lb[/tex]

Answer:10times

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

x^2+24x=17

b=24

(b/2)^2=(24/2)^2=12^2=144

Answer: 14

Step-by-step explanation: hope this helps u :)

Answer:

14 tons

Step-by-step explanation:

divide the mass value by 32000

448,000 divided by 32000 = 14 tons

Answer:

A) Irrational

Step-by-step explanation:

The square root of 27 is an irrational number since it's not a rational number. We identify rational numbers because they can be expressed as fractions

If we take the value of [tex]\sqrt{27}[/tex] we get

5.1961524227066318805823390245176...

There is no way to transform that number into a fraction because

* It has no decimal limit

* It has no decimal pattern (or period)

Examples of rationals are

5.44444...

[tex]0.\overline{32}[/tex]

2.375

The last one has limited decimals, the first two have repetitive patterns or a period.

Answer:

Option C: 0.04 is the correct answer.

Step-by-step explanation:

Given that:

cups of sugar used = 7.5

cookies = 14 dozen

As we know that 1 dozen cookies equal 12 cookies so,

14 dozen cookies = 14* 12 = 168 cookies

Now,

we have to find the rate of cups of sugar per cookie, So:

Rate = cups of sugar / total cookies

By putting values:

Rate = 7.5/ 168

By simplifying we get

Rate = 0.04464

By rounding it off to nearest hundred:

Rate = 0.04

Hence the rate of cups of sugar per cookie is 0.04

i hope it will help you!

Answer: c

Step-by-step explanation:

Answer:

It is the same answer.

Step-by-step explanation:

579.8 X 0.001= 0.5798

579.8/10^3 (or 1000)=0.5798

If you use a calculator it's easy.

Hope this helped. :D

Following are the calculation to the given expression:

Given:

[tex]\bold{579.8 \times 0.001= 579.8 \div 10^3}[/tex]

To find:

Prove=?

Solution:

[tex]\to \bold{579.8 \times 0.001= 579.8 \div 10^3}[/tex]

Solve L.H.S part:

[tex]\to \bold{579.8 \times 0.001}\\\\\to \bold{0.5798}[/tex]

Solve R.H.S part:

[tex]\to \bold{ 579.8 \div 10^3}\\\\\to \bold{ \frac{579.8}{ 10^3}}\\\\\to \bold{ \frac{579.8}{ 1000}}\\\\\to \bold{ 0.5798}\\[/tex]

Therefore, the L.H.S= R.H.S, so, the answer is the same.

Learn more:

brainly.com/question/9429183