Simplify the expression 4(2x - 3y) ASAP

Answers

Answer 1

Answer:

8x - 12y

Step-by-step explanation:

4(2x-3y)

Distribute/multiply the 4 to everything in the parentheses

4 * 2x = 8x      4 * -3y = -12y

8x - 12y

Answer 2

Answer:

[tex]4(2x-3y)=8x-12y[/tex]

Step-by-step explanation:

The given expression is

[tex]4(2x-3y)[/tex]

We expand using the distributive property to obtain;

[tex]4(2x-3y)=4\times2x-4\times3y[/tex]

This implies that;

[tex]4(2x-3y)=8x-12y[/tex]


Related Questions

A bag contains 10 marbles.four of them are red,three blue,two white and one yellow. A marble is drawn at ramdom. What is the probability that it is not a yellow?

Answers

Answer:

90% chance that it's not yellow

Step-by-step explanation:

Since there is 1 yellow that mean that 9/10 marbles are a different color

9/10 as a percentage is 90%

Hope this helps and have a blessed day!

Help me solve this please

Answers

[tex] \cos(42) = \frac{ RS}{3} \\ RS = 3 \times \cos(42) \\ RS = - 1.19[/tex]

1.19

R is a 90 degree angle you can see that by looking for a square where the two live meet and s=42 add 90 to 42 to get your answer

Hope this helped! :)

-8x+4=36 What is the solution to this equation

Answers

Answer:

X= -4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-8x+4=36

-8x=36-4

-8x=32

x=32/(-8)

x=-4

*EASY* WILL MARK BRAINEST! Find the slope of the line in the image below!

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Slope = rise/run

rise=2

run=1

Final answer:

2/1 or 2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

The slope of the line is 4/2, or 2/1, or 2 because if you find the rise over run, you will get either 4/2 or 2/1.

Look at this linear equation. 3x + 5y = 30 Which of the following equations can be used to solve for y in the linear equation above? A. y = - x + 30 B. y = 3x + 6 C. y = - x + 6 D. y = x + 30

Answers

Answer:

[tex]y=-\frac{3}{5} x+6[/tex]

Step-by-step explanation:

Lets solve the equation [tex]3x+5y=30[/tex] for [tex]y[/tex] step-by-step:

Step 1. Subtract [tex]3x[/tex] from both sides of the equation

[tex]3x+5y=30[/tex]

[tex]3x-3x+5y=-3x+30[/tex]

[tex]5y=-3x+30[/tex]

Step 2. Divide both sides of the equation by 5

[tex]\frac{5y}{5} =\frac{-3x+30}{5}[/tex]

[tex]y=\frac{-3x+30}{5}[/tex]

[tex]y=-\frac{3}{5}x+\frac{30}{5}[/tex]

[tex]y=-\frac{3}{5} x+6[/tex]

We can conclude that the equation that can be used for solve for [tex]y[/tex] is [tex]y=-\frac{3}{5} x+6[/tex]

Answer:

y = -3x/5 + 6

Step-by-step explanation:

Given the equation 3x+5y = 30, to find the equation that can be used to solve for y, we will have to make y the subject of the formula from the given linear equation to have;

3x + 5y = 30

First we will subtract 3x from both sides of the equation to have;

3x+5y-3x = 30-3x

5y = 30-3x

Dividing both sides of the equation by the coefficient of y which is 5 we will have;

5y/5 = 30/5-3x/5

y = 6-(3x/5)

y = -3x/5 + 6

Find the value of y.

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

[tex]\sqrt{3^2-1^2}\\2\sqrt{2}[/tex]

gurindas previous checking account balance was $532.14. since then she has written a check for $46.19 and one for 138.32. she also made a $200 deposit into her account. assuming her monthly service charge is $6, how much is her new balance ?

Answers

Answer:

$541.63

Step-by-step explanation:

To find the balance of Gurindas, we need to break down our values.

Checking Balance = $532.14

Checks = $-46.19 + $-138.32 = $-184.51

Deposit =  $200

Service Charge = $-6

Now to find her new balance, we simply add them all together.

New Balance = 532.14 + -184.51 + 200 + -6

New Balance = $541.63

Identify four solutions of the equation y = 2^x

Answers

Answer:

(0,0) (1,2) (2,4) (3,6)

(0,0) (1,2) (2,4) (3,6)

How do I solve this?

Answers

Answer:

Step-by-step explanation:

Order the data from least to greatest

1,2,2,3,3,3,4,4,5,6,

Find the median.

3+3=6/2=2

Calculate the median of both the lower and upper half of the data.

Lower: 2+2=4/2=2. Upper: 4+5=9/2=4.5

The IQR is the difference between the upper and lower medians.

4.5 - 2= 2.5

The point-slope form of the equation of the line that passes through (-5,-1) and (10,-7) 157Wt is the ), What is the standard form of the equation for this line?

Answers

Answer:

[tex]y + 1 = -\frac{2}{5}(x+5)[/tex]

and

2x + 15y = -15

Step-by-step explanation:

To write the point slope form, a point and a slope is required. Find the slope using the two points given and the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{-1 --7}{-5-10}= \frac{6}{-15} = -\frac{2}{5}[/tex]

Substitute -2/5 and the point (-5,-1) into the form. Then convert to make the standard form of the equation.

[tex]y - y_1 = m(x-x_1)\\y --1=-\frac{2}{5}(x--5)\\y + 1 = -\frac{2}{5}(x+5)[/tex]

Now convert to standard form by applying the distributive property and moving terms.

[tex]y + 1 = -\frac{2}{5}(x+5)\\y + 1 = -\frac{2}{5}x - 2\\y + 3 = -\frac{2}{5}x\\\frac{2}{5}x + y +3=0\\2x + 5y + 15 = 0\\2x + 15y = -15[/tex]

A bakery gave out coupons to celebrate its grand opening. Each coupon was worth either $1, $3, or $5. Twice as many $1 coupons were given out as $3 coupons, and 3 times as many $3 coupons were given as $5 coupons. The total value of all the coupons given out was $360. How many $3 coupons were given out? ​

Answers

Answer:

54

$3 dollar coupons were given

Step-by-step explanation:

We can represent this question as a system of equations

Let

x = number of $1 dollar coupons

y = number of $3 dollar coupons

z = number of $5 dollar coupons

Twice as many $1 coupons were given out as $3 coupons,

x = 2*y

3 times as many $3 coupons were given as $5 coupons.

y = 3*z

The total value of all the coupons given out was $360

x*$1 + y*$3 + z*$5 = $ 360

The system results

x   -   2y   +  0    =  0         (1)

0   +  y     -  3z    = 0         (2)

x    + 3*y      +5*z =   $ 360    (3)

We substitute  equation (2) and (1) into (3)

(2y)   + 3*y    + 5*(y/3) =   $ 360

20*y/3  = 360

y = 54

To determine the number of $3 coupons given out by the bakery, we solved the equation 5x + 3(3x) + 1(2(3x)) = $360, where x represents the number of $5 coupons. We found that x = 18, and since there are three times as many $3 coupons as $5 coupons, the bakery gave out 54 $3 coupons.

The question involves solving a system of linear equations to determine how many $3 coupons were given out by the bakery. Let's define the variables first:

x = number of $5 coupons3x = number of $3 coupons2(3x) = number of $1 coupons

Based on the given information, we can set up the following equations:

5x + 3(3x) + 1(2(3x)) = $360

Now let's solve the equation:

5x + 9x + 6x = $36020x = $360x = 18

Once we have x, we know that the number of $3 coupons is 3 times x, so:

3x = 3(18) = 54

Therefore, 54 $3 coupons were given out by the bakery.

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 feet. Find the length of the rectangle.

Answers

Answer:

length = 21

Step-by-step explanation:

P = 2L + 2W,   L = 3W

P = 2(3W) + 2W = 56

8W = 56

W = 7

L = 3W = 3(7) = 21

Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.

Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:

Let P represent the perimeter of the rectangle and let L represent the unknown length of the rectangle.

Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.

Step 2. Substitute L into 3W that looks in the equation form like this: [tex]P = 2(3W) + 2W = 56.[/tex]

Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: [tex]8W = 56.[/tex]

Step 4. Divide both sides by 8 that looks in the equation form like this: [tex]W = 7.[/tex]

Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: [tex]L = 3W = 3(7) = 21.[/tex]

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Orlando bought some groceries that cost a total of $22.68. He used a $20 bill and a $10 bill to pay for the groceries. What are two different ways he could receive his change? What is his change?

Answers

Step-by-step explanation:  20+10=30

30-22.68 =7.22

1 way to receive his change: 1 five dollar bill, 2 one dollar bills, 6 dimes and 8 pennies.

1 different way to receive his change : 7 one dollar bills, 13 nickels and 3 pennies.

his change would be exactly $7.32. he could get all 1’s or a five and 2 ones

Arrange the numbers in decreasing order of their values.

Answers

Answer:

The numbers in decreasing order of their values are:

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is [tex]\sqrt{37}[/tex], we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

[tex]\sqrt{37}=6.0828[/tex]

The second number is a fraction, in decimal form will be:

[tex]\cfrac{19}{3}= 6.3333[/tex]

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

[tex]6.3333... > 6.0828...>6.08171...>6.012[/tex]

Lastly we can write the decreasing order using the numbers on their original form.

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Identify the center and intercepts if the conic section. then find the domain and range. i’ll post the answers below

Answers

The conic section is Parabola. It intersects at point (0,5) on the y-axis. The domain of the parabola is all real numbers. The range of the parabola is [tex]y\ |y \ge 5[/tex].

The image appears to be a graph of a parabola. Here's the information:

Type of conic section: Parabola

Center: This parabola doesn't have a center, as parabolas are not symmetrical across both axes.

Intercepts: The parabola intersects the y-axis at the point [tex]$(0, 5)$[/tex]. It doesn't intersect the x-axis.

Domain: The domain of the parabola is all real numbers, as it extends infinitely in both directions to the left and right.

Range: The range of the parabola is all real numbers greater than or equal to 5, as it starts at the point [tex]$(0, 5)$[/tex] and extends infinitely upwards.

Final answer:

The center and intercepts of a conic section vary depending on the specific type. The domain and range also differ based on the nature of the conic section, with some having a limited set of x or y values, while others span all real numbers with exceptions.

Explanation:

To identify the center and intercepts of a conic section, we first need the specific equation of the conic section (circle, ellipse, parabola, or hyperbola). The intercepts are the points where the graph intersects the x-axis and y-axis. The center of a conic section (for circles and ellipses) is the point inside the conic section that is equidistant from all points on the curve. For parabolas, the center does not exist since they are open-ended curves, and for hyperbolas, the center is the midpoint between the vertices of the two branches of the curve.

The domain and range are the set of possible x-values and y-values respectively that the function (conic section) can take. For circles and ellipses, the domain and range are limited to the values within the bounds of those shapes. Parabolas have an infinite domain when the axis of symmetry is vertical and an infinite range when the axis of symmetry is horizontal, except if there is a horizontal directrix, which restricts the range. Hyperbolas have a domain and range all real numbers except for values that fall within the 'gap' created by the asymptotes.

In Spencer's garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is .

Answers

Answer:

1.5c-7=n

Step-by-step explanation:

Answer:

The required expression is 1.5c-7

Step-by-step explanation:

Here, c represents the number of carnation bushes,

Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,

That is, the number of roses = 1.5c - 7

Hence, the required expression that represents the number of roses is 1.5c - 7.

How do I solve system of equations by substitution
3x-7y=41
x=-2y-21

Answers

Answer:

(-5;-8)

Step-by-step explanation:

-6y-63-7y=41

-13y=104

y=-8

x=-2*-8-21=-5

The solution is

The value of x = -5

The value of y = -8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation A is

3x - 7y = 41   be equation (1)

x = -2y - 21   be equation (2)

Now , substitute the value of equation (2) in equation (1) , we get

3x - 7y = 41

3 ( -2y - 21 ) - 7y = 41

On simplifying the equation , we get

-6y - 63 - 7y = 41

Adding 63 on both sides of the equation , we get

-13y = 104

Divide by -13 on both sides of the equation , we get

y = -8

So , the value of y = -8

Substitute the value of y in equation (2) , we get

x = -2y - 21

x = - 2 ( -8 ) - 21

x = 16 - 21

x = -5

So , the value of x = -5

Therefore , the value of x is -5 and y is -8

Hence ,

The value of x = -5

The value of y = -8

To learn more about equations click :

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The equation of a circle is x^2 + y^2 -4x + 2y - 11 = 0. What are the center and the radius of the circle? Show your work.

Answers

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Answer:

Center at (-2, -1) and radius = 4

Step-by-step explanation:

We are given the following equation of a circle which we want to convert into the standard form:

[tex]x^2+y^2-4x+2y-11=0[/tex]

Note that

(x + a)² = x² + 2ax + a²

so that

x² + 2ax = (x + a)² - a²

So [tex]x^2+y^2-4x+2y-11=0[/tex]

[tex]x^2-4x+y^2+2y=11[/tex]

[tex](x-2)^2-2^2+(y+1)^2+1^2=11[/tex]

[tex](x-2)^2+(y+1)^2-5=11[/tex]

[tex](x-2)^2+(y+1)^2=16[/tex]

Therefore, this equation represents a circle with center at (-2, -1) and radius √16 = 4, as shown below.

the price p of a new house minus 20% down payment ​

Answers

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

write the equation of a circle with center of (5,-3) and a radius of 4​

Answers

Answer:

[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 4. Substitute:

[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]

what coordinates are 7 units away from (2,−7)

Answers

One coordinate that is 7 units away from (2,-7) is (2,0). (2,0) is 7 units to the right of (2,-7)

Another coordinate is (9,-7). This one also works.

Answer:

(-5,0) & (9-14)

Step-by-step explanation:

and or subtract seven from both and... BOOM you got your answer

Which numbers are irrational?

Select each correct answer.


A. 6.25−−−−√

B. 3√

C. −1√

D. 32−−√

Answers

The first one I believe

Answer: A

Step-by-step explanation: rational numbers \can be turned into a fraction so yea.

A chef uses 4.5
cups of tomatoes to make each batch of pasta sauce. If
represents the number of cups of sauce, which equation models this situation?

A.=4.5, where is the number of batches

B.=4.5 where is 1 batch of sauce

C.=4.5 where is the number of batches

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answers

Answer:

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

PLZ HELP ASAP NEED HELP
What are the zeros of the function f, where f (x) = 6 x2 – 9 x – 6?

Answers

Answer: [tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:

- You must rewrite it as following:

[tex]6x^2-9x-6=0[/tex]

-You can apply the Quadratic formula, which is shown below:

[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]

In this case:

[tex]a=6\\b=-9\\c=-6[/tex]

- Therefore, when you substitute values, you obtain:

[tex]x=\frac{-(-9)\±\sqrt{(-9)^2-4(6)(-6)}}{2(6)}[/tex]

[tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

use the graph of y=e^x to evaluate the expression e^-1.5

round to the nearest tenth if necessary.

Answers

Answer:

0.25

Step-by-step explanation:

Locate the x value -1.5 along the x-axis. It has a matching output or y value on the curve. Draw a vertical line at x = -1.5. Where the line and curve intersect it the output value. Here it estimates as 0.25.

Answer:

0.223 is the answer

Step-by-step explanation:

Here first we draw the graph of y =[tex]y =e^x[/tex]

and in order to find the value of [tex]e^{-1.5}[/tex]

we draw a line x =-1.5

and the point where this line x =-1.5 intersects with given

graph is the required value

which is y =0.223 at  x =-1.5

Below is the graph given

Which of the following is not equivalent to 15!/10!5!

P(15, 10)

C(15, 10)

C(15, 5)

Answers

Answer:

P(15, 10)

Step-by-step explanation:

By definition;

[tex]nC_r=\binom{n}{r}=\frac{n!}{(n-r)!r!}[/tex]

and

[tex]nP_r=\binom{n}{r}=\frac{n!}{(n-r)!}[/tex]

This implies that;

[tex]15P_{10}=\binom{15}{10}=\frac{15!}{(15-10)!}=\frac{15!}{5!}[/tex]

[tex]15C_{10}=\binom{15}{10}=\frac{15!}{(15-10)!10!}=\frac{15!}{5!10!}[/tex]

[tex]15C_{5}=\binom{15}{5}=\frac{15!}{(15-5)!5!}=\frac{15!}{5!10!}[/tex]

Given the line of best fit for a data set of data points with the equation y=5x-2.5,what is the residual for the point (4,13)

Answers

Final answer:

The residual for the data point (4,13) given the line of best fit y=5x-2.5 is -4.5, indicating the line overestimates the value of y by 4.5 units.

Explanation:

The student is asking about finding the residual for a data point (4,13) given the line of best fit with the equation y=5x-2.5. To find the residual, you calculate the difference between the actual y value of the data point and the predicted y value from the line of best fit. For the given point, the predicted y value is calculated by substituting x=4 into the line equation, yielding y = 5(4) - 2.5 = 17.5. The residual is the actual y value minus the predicted y value: 13 - 17.5 = -4.5. Therefore, the residual for the point (4,13) is -4.5, indicating that the line of best fit overestimates the actual data value for y by 4.5 units.

Solve the exponential function

Answers

Answer:

See below.

Step-by-step explanation:

Just like 18, continue with 19-21. Solve for x by rewriting each equation in log form.

[tex]e^x = 4.9\\\\x = ln 4.9\\\\x = 1.59[/tex]

When rewriting the form, the base of the exponent becomes the base of the log.

Identify the domain of the function

Answers

The answer is C. is right

Answer:

C) (-4, 4]

Step-by-step explanation:

We have been given a graph of the function as shown in the picture. Now using that graph, we need to find the domain of the function and match with the given choices to find the correct domain.

Where given choices are :

A) [-4, 4)

B) [-4, 4]

C) (-4, 4]

D) (-4, 4)

Remember that we use ( or ) for open circle. and [ or ] for close circle.

Hence correct domain is

C) (-4, 4]

A square painted has a side length of 18 inches what is the area of the painting

Answers

To find the area of a square, you multiply the side length by itself. So, multiply 18 feet by 18 feet to get 324 square feet.
Since it is a square, all side lengths will be equal. Thus, we can assume that since the equation to find area is wl or width*length, we can simply multiply 18 by 18.
18*18=324
The area of the painting is 324 inches.
Hope this helps!
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