simplify 4y+6x-3(x-2y)​

Answer:

x = 7

Step-by-step explanation:

3x + 2(x - 5) = 25

→ Expand brackets

3x + 2x - 10 = 25

→ Add the 'x's together

5x - 10 = 25

→ Add 10 to both sides to isolate 5x

5x = 35

→ Divide both sides by 5 to isolate x

x = 7

Explanation:

Choice A is discrete because it is a finite set. There aren't infinitely many names in here.

The same goes for choice B as well. We have two items in this set { (3,4), (4,3) }. The set of all possible dice rolls is also discrete as there are 6^2 = 36 different ways to roll two dice.

An example of a set that isn't discrete, and continuous, would be the set of real numbers. In this set, we can pick any two values and find the midpoint. We can do this infinitely many times. So in a way, this set is very dense and we can infinitely zoom into a particular region. We can't do the same for a set of finitely many items.

Answer:

C. 0

Step-by-step explanation:

0 / 7 = 0 ÷ 7

recall that zero divided by any number is zero

hence 0 ÷ 7 = 0

Answer:

B) 8x-1

Step-by-step explanation:

A) 8x-5x  Like terms  = 3x

B) 8x-1   Not like terms  8x-1

C -(8x+3)  Distribute the minus sign  -8x -3

D 8(x-2) Distribute the 8   8x - 16

Answer:

B. 8x - 1

Step-by-step explanation:

Notice that all of these expressions can be simplified except for option B. 8x-1.

Option A has two like terms, 8x and -5x which could be reduced to 3x

Option B has two distinct terms, 8x and -1 which can only be combined into 8x-1

Option C has a leading negative, and can be simplified with the distributive property to be -8x + -3

Option D has a leading 8 that can be distributed to the term (x-2) to form 8x - 16.

Thus, choose option B.

Cheers.

Answer:

y = -2/3x + 2

Step-by-step explanation:

Hey there!

Well since we already got the y-intercept to find slope we'll use the points,

(3,0) and (0,2).

Formula: [tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the given points,

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

Slope = -2/3

Slope-intercept: y = -2/3x + 2

Hope this helps :)

Answer:

y = -2/3x + 2  or

2x + 3y  = 6   (standard form).

Step-by-step explanation:

I am assuming you want the equation of the straight line that passes through these 2 points.

The 2 points are (3, 0 ) and (0, 2).

The slope of the line =  (2 - 0) / (0 - 3)

= -2/3.

The equation is y = -2/3x + 2  ( as 2 is the y-intercept).

In standard form this is :

3y = -2x + 6

2x + 3y  = 6.

Step-by-step explanation:

Combing like terms means that you combine the terms that are alike. So, if you have integers you would combine the integers. If you had a variable like x, you would combine everything with x. For instance, 2x+4+3+7x, to combine like terms add 4+3 and 2x+7x.

Answer:

96.1826

Step-by-step explanation:

to make that decimal numbers in 4 decimal places, then you count the number at the right hand side after the point, when u get to the 4th digit, you stop, then if the 5th digit is more than 4, they you add 1 to the 4th digit and there u have 96.1826

The Round 96.1825899389 to 4 decimal places will be 96.1826

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to Round 96.1825899389 to 4 decimal places.

To make that decimal numbers in 4 decimal places, then we count the number at the right hand side after the point, when u get to the 4th digit.

Therefore, the Round 96.1825899389 to 4 decimal places will be 96.1826

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Answer:

126.4 cm

Step-by-step explanation:

1. 15.8 * 3 = 47.4 (This is the length)

2. Find half of the rectangle

47.4 + 15.8 (width) = 63.2

3. Find the whole perimeter

63.2 * 2 = 126.4

Answer:

126.4

Step-by-step explanation:

If you put three squares that are all 15.8cm together, you get a rectangle that is 47.4cm by 15.8cm. To get 47.4, you multiply 15.8 x 3 because it's three 15.8 squares together. Then to find the perimeter of the rectangle, you add all the sides together to get the answer 126.4.

Answer:

50 inches

Step-by-step explanation:

Given that

5 equal sized square shelves arranged in a column.

Total area of five shelves = 500 sq inches

To find:

Length of shelving unit = ?

Solution:

First of all, let us find the area of each shelving unit.

Area of each shelving unit = Total area of five shelved divided by 5

Area of each shelving unit = 500 [tex]\div[/tex] 5 = 100 sq units.

Each shelving unit is of square shape and area of a square is given as:

Area = [tex]Side^2[/tex]

100 = [tex]Side^2[/tex]

So, side of shelve = 10 inches

Now, there are 5 squares in the shelving unit.

So, length of shelving unit = [tex]10 \times 5 = \bold{50 \ inches}[/tex]

Answer:

Its the "range" of x values, so from -2 to 2.

You can write it as [-2, 2]

Answer:

Subtract 10

Step-by-step explanation:

The first option, "take the ones digit", is obviously incorrect because the ones digit of 9 is not -1. The second one is incorrect because you are dividing by 2 and then adding 5. Dividing odd numbers by 2 will give you a decimal and a decimal plus an integer (the integer is 5 in this case) will still be a decimal (provided that the decimal is not an integer as well). However, both of the outputs are integers, so we know that the second one is wrong. The third one is wrong as well because 9 / 3 = 3, not -1. The last one is correct because 15 - 10 = 5 and 9 - 10 = -1.

Answer:

I guess they subtracted a 110 from -110 instead of subtracting from 360

Answer:

Grapes and strawberries

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

Answer:

9

Step-by-step explanation:

f(x)=2x+1

f(4)=2 x 4+1

   = 8+1

  = 9

Answer:

Wherever we see an  x , we just input  4  to find  f ( 4 ) :  f ( 4 ) = 2 ( 4 ) − 1 = 8 − 1 = 7  

Hope this helps

Answer:

15. True

16. False

17. True

18. False

19. True

20. False

21. True

Step-by-step explanation:

15. The three points can be taken as being two points on a line adjacent to a point which always forms a plain when the ends of the line are connected to the point

16. The two circles can be on different planes

17. With one line fixed, the other line can be rotated until both lines are in the flat plane

18. The definition of skew lines are lines in different planes that are not parallel and that do not intersect

19. Whereby the angle crosses the circumference of the circle twice, the number of intersections = 4

20. Two distinct circles can only intersect twice

21.  A plane can always be drawn with any three points

Answer:

m = 10

Step-by-step explanation:

Divide both sides of this equation by 6.  We get:

m = 60/6 = 10.

Solution:  m = 10

Answer:

m =10

Step-by-step explanation:

Answer:

333.59375 Euro

Step-by-step explanation:

427 Canadian dollars converted to Euro

rate of exchange: for every 1.28 Canadian dollars=1 Euro

                                              427                              = ?? Euro

427/1.28=333.59375 Euro

Answer:

384

Step-by-step explanation:

The pattern is: the sum of the multiplication of the 2 numbers underneath the blank.

48 * 8 = 384

Hope this helps! Please tell me if I did something wrong, thanks!

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

The fraction 3/15 in simplest form is 1/5.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

In this case, 3 and 15 have a common factor, which is 3. Thus, 3/15 in simplest form will be:

3/15 = 1/5  (divide both numerator and denominator by 3)

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The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.

Step-by-step explanation:

Answer:

The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.

Step-by-step explanation:

Sample Answer

Answer:

when substituting y=y

and multiple x^2+2 by x+2

you get a 3rd degree equation

thus having 3 answers one of which is -1.8

so D is the correct answer

Answer:

I think the answer is

y= 3/4x - 7/4

(Not sure though)

Answer:

Step-by-step explanation:

1 inch = 25.4 millimeters

1 inch = 25.4 millimeters26 inches = ?

26 × 25.4

26 × 25.4= 660.4 millimeters

660.4 millimeters is the answer.

Step-by-step explanation:

p² − r² = 0

(p − r) (p + r) = 0

p = r or -r

Answer:

7

Step-by-step explanation:

By Basic proportionality theorem:

[tex] \frac{10}{8} = \frac{3x - 6}{12} \\ \\ \frac{10 \times 12}{8} = 3x - 6 \\ \\ \frac{120}{8} = 3x - 6 \\ \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\ \frac{21}{3} = x \\ 7 = x \\ \\ \huge \red { \boxed{x = 7}}[/tex]

Answer:

2.29 rads

Step-by-step explanation:

The  length of the arc of a circle of radius r is given by;

l = rθ            ---------------------------(i)

Where;

l = length of the arc

θ = central angle o that intercepts that arc and measured in radians.

From the question:

l = 16ft

r = 7ft

Substitute these values into equation (i) as follows;

16 = 7θ

Make θ subject of the formula

θ = [tex]\frac{16}{7}[/tex]

θ = 2.29    

Therefore, the radian measure of the central angle is 2.29 rads

Answer:

0.4 cm

Step-by-step explanation:

10 mm = 1 cm thus 4mm / 10  = 0.4 cm

Answer:

m=96

Step-by-step explanation:

[tex]\frac{15}{8}m-11=\frac{7}{4}m+1\\\\\frac{15}{8}m -\frac{7*2}{4*2}m=1+11\\\\\frac{15-14}{8}m=12\\\\\frac{1}{8}m=12\\\\m=12*8\\\\m=96[/tex]

Answer:

(x-6)(2x+2)

Step-by-step explanation:

2x^2 + 2x - 12

by using splitting method

2x^2 - 12x + 2x -12

taking separate common from both pairs

2x(x - 6) + 2(x - 6)

(x - 6)(2x + 2)