Expand and simplify 5)3x+2)-2(4x-1)

Answers

Answer 1

Answer:

It is 7x + 12

Step-by-step explanation:

[tex]5(3x + 2) - 2(4x - 1)[/tex]

open brackets:

[tex] = 15x + 10 - 8x + 2[/tex]

group like terms together:

[tex] = (15x - 8x) + (10 + 2)[/tex]

factorise out x :

[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]


Related Questions

Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =

Answers

Answer:

y = 2x + 2

BRAINLIEST, PLEASE!

Step-by-step explanation:

(-2, -2) (-1, 0)

y = mx + b (m = slope, b = y-intercept)

m = rise/run = change in y / change in x

change in y: +2

change in x: + 1

change in y/change in x = 2/1 = 2

m = 2, y = 2x + b

We can plug -1 in for x, and 0 in for y.

0 = 2(-1) + b

0 = -2 + b

b = 2

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it

Answers

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

How would I prove the congruency of these triangles?

Answers

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

PLS HELP WILL MARK AS BRAINLIEST ​

Answers

Answer:

SEE THE IMAGE FOR SOLUTION .

HAVE A GREAT DAY

Answer:

11. D

12. C

13. D

14. B

15. E

Step-by-step explanation:

11.

1/3 + 1/2 = 2/6 + 3/6 = 5/6

A is 3/4

B is 2/3

C is 9/10

D is 4/5

E is 2/5

the closest to 5/6 is 4/5.

12.

this is totally easy. just simply additions and one subtraction (to see what is left).

8+10+9 = 27

so, he has

60 - 27 = 33 hours left

13.

the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.

so,

(2+5+3+6+4)/5 = 20/5 = 4

14.

a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.

so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.

3×6 = 18

15.

3t - 10 = 8

3t = 18

t = 6

What is the domain in roster notation(numerical order) x= -2,-1,1,3,3 y=3,-3,0-3,3

Answers

Answer:

Domain is {x|x = -2, -1, 1, 3}

Step-by-step explanation:

I. When domain is x.value and renge is y.value

Got more question or something to discuss? leave comment below

If 2 – x > x – 2 then the solution of x is

Answers

[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]

[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]

[tex]\\ \sf\longmapsto 4\gt 2x[/tex]

[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]

[tex]\\ \sf\longmapsto x\lt 2[/tex]

Add x + 2 to both sides
2 + 2 > x + x
2x < 4
x < 2

The square below represents a unit or a whole. What fraction is represented by the

Answers

20/28 or 10/14 or 5/7
You can keep reducing until both sides of the fraction can't be divided by the same number anymore.

MATH GIVING OUT BRAINLY TO CORRECT ANSWER

Answers

Answer:

C

Step-by-step explanation:

Fractions cant be integers

Wait huh I know what O K

b. (x + 3)(x^2 – 3x + 27 )=

Answers

(x+3)(x^2-3x+27)

x^3-3x^2+27x+3x^2-9x+81

x^3+19x+8

-2(-6n-3)-8=82 solve for n

Answers

Answer:

n = 7

Step-by-step explanation:

-2(-6n-3)-8=82,

12n + 6 - 8 = 82,

12n -2 = 82,

12n = 84,

n = 7

Answer:

n=7

Step-by-step explanation:

-2(-6n-3)-8=82

Add 8 to both sides

-2(-6n-3)-8+8=82+8

Simplify

-2(-6n-3)=90

Divided both sides by -2

-2(-6 -3) = 90

2 -2

Simply

-6n-3=-45

Add 3 to both sides

-6n-3+3=-45+3

Divided both side by -6

-6n = -42

-6. -6

Simply

n=7

A 2-pound bag of potatoes costs $0.96. What is the price per ounce?

Answers

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part ​

Answers

Answer:

40 and 60

Step-by-step explanation:

Sum of ratio=2+3

sum of ratio=5

Share of part 2=2/5*100

share of part 2=40

Share of part 3=3/5*100

share of part 3=60

Note:if you need to know any question please let me know.

Calculate the Midpoint M of line segment AB given, A(4,-10) and B(8,4).

Answers

Answer:

(6,-3)

Step-by-step explanation:

Using midpoint formula, we have

x=(4+8)/2=12/2=6

y=(-10+4)/2=-6/2=-3

María va de compras a una tienda departamental y adquiere los siguientes productos: 2 pantalones, 4 blusas, 3 pares de calcetas y 2 pares de tenis. El precio de los artículos por unidad es: pantalones $ 600.00, blusas: $350.00, calcetas: $120.00 y tenis: $ 950.00. Si María contaba con $5000.00, calcula cuánto dinero le sobró después de las compras realizadas.

Answers

Answer:

Pantalones = $600.00 × 2

$ 1,200.00

Blusas = $350.00 × 4

$ 1,400.00

Calcetas = $120.00 × 3

$ 360.00

Par de tenis = $950.00 × 2

$ 1,900.00

Total a pagar = $4,850.00

$5,000.00

- $4,860.00

Sobrante = $140.00

if m<8= 23° find each measure.

Answers

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

m<8 = m< 6 = 23° [ Opposite angles]

m< 4 = m< 2 = 23°

m<8 + m< 5 = 180°

23° + m< 5 = 180°

m<5 = 180 - 23 = 157

m< 5 = m< 7 = 157° [ Opposite angles]

m< 1 = m< 3 = 157° [ Opposite angles]

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

So;

m< 1 = 157m< 2 = 23m< 3 = 157m<4 = 23m< 5 = 157m< 6 = 23m< 7 = 157m< 8 = 23

I hope I helped you^_^

(−2x + 8) + (−8x^2− 8x)

Answers

Answer:

-8x^2 -10x + 8

Step-by-step explanation:

there is no multiplying just adding

FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =

Answers

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1)  and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

please help me will mark braniliest

Answers

Answer:

The correct answer is option A. Line DB

Step-by-step explanation:

When you write that M is a line, the sign for this would be a line with arrows on both of its end like this :  <------------>

Now, due to the fact that lines look like this  <------------>, we can cross out option C and D as they both aren't lines but points. Points go like this: ---->

Option B says, "line EB", this can't be true because E corresponds with the letter F, it can't become a line with B hence why the only option true here is choice A.

Margot draws a shape with one pair of parallel lines that are four centimeter apart she then flips the shape across a horizontal line how many pairs of parallel lines are on the flipped shape?

Answers

Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.

We can define two parallel lines as two lines that never meet.

And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:

(x, - y)

And all the reflections across horizontal lines will only affect the y-value of the points.

Now, particularly, we have two vertical and parallel lines.

Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.

From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.

If you want to learn more, you can read:

https://brainly.com/question/15627170

Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5

Answers

Answer:

It is y = x - 5

Step-by-step explanation:

General equation of a line:

[tex]{ \bf{y = mx + c}}[/tex]

m is the gradient, and c is y-intercept.

For gradient:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]

substitute:

[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]

m = 1

for y-intercept:

consider point (6, 1):

[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]

therefore:

[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]

A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step​

Answers

Answer:

5 years

Step-by-step explanation:

Let x be the unknown numer of years ago when the product of the man and his child's age was 96.

》 x years ago, the man's age = 37 - x

the child's age = 8 - x

(37 - x)(8 - x) = 96

296 - 37x - 8x + x² = 96

x² - 45x - 296 - 96 = 0

x² - 45x - 200 = 0

x² - 5x - 40x - 200 = 0

x(x - 5) -40(x - 5) = 0

(x - 5)(x - 40) = 0

x = 5 years ago or x = 40 years ago

but x = 40 > son's present age.

Thus, x = 5.

Therefore, 5 years ago the product of the ages of the man and his child was 96.

someone help me asap

Answers

Answer:

19/20 cups

Step-by-step explanation:

Add the amounts together

1/4 + 7/10

Get a common denominator of 20

1/4 *5/5   + 7/10 *2/2

5/20 + 14/20

19/20

Answer:

19/20

Step-by-step explanation:

find a common denominator then do the same with the numerator then add.

Find the distance between the points (-16, 10) and (4, 10).
Help plz I pay 5 bucks if you solve this

Answers

Answer:

20

Step-by-step explanation:

The distance formula is just

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2} \\d = \sqrt{(-16-4)^2+(0)^2}\\d = \sqrt{(-20)^2} \\d = \sqrt{400} \\d = 20[/tex]

f(x)= -2x^2 - 5 and f(2)= -13

can someone solve this in steps please?

Answers

This is one way you could write out the steps

f(x) = -2x^2 - 5

f(2) = -2(2)^2 - 5

f(2) = -2(4) - 5

f(2) = -8 - 5

f(2) = -13

Answer:

Step-by-step explanation:

First you have to get the meaning clear.

f(2) means that wherever you see an x on the right side of the equation, you put a 2.

f(2) means -2*(-2)^2 - 5

(-2)^2 = -2 * -2 = 4

f(2) = -2 * 4 - 5

f(2) = - 8 - 5

f(2) = -13

during the movie fundraising event the concession stand at the auditorium sells popcorn fruit and drinks the price of a box of popcorn is 0.50 more than

Answers

Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:

The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.

Solution of the system of equations by the Substitution Method.

Taking into account the information given in the exercise, we can write the next equations:

P = F + 0.502D = 3F - 0.502P + F + 3D = 7.75

Where:

P = The price of a box of popcorn.D = The price of a drink.F = The price of a piece of fruit.

Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.

In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:

2D = 3F - 0.50D = (3F - 0.50) / 2D = 1.5F - 0.25

We proceed to substitute the first and second equations in the third equation:

2P + F + 3D = 7.752 (F + 0.50) + F + 3 (1.5F - 0.25) = 7.75

And we solve for the variable F:

2F + 1 + F + 4.5F - 0.75 = 7.757.5F + 0.25 = 7.757.5F = 7.75 - 0.257.5F = 7.5F = 7.5 / 7.5F = 1

Now, we can solve for the variable D with the second equation:

2D = 3F - 0.502D = 3 * (1) - 0.502D = 3 - 0.502D = 2.5D = 2.5 / 2D = 1.25

Finally, we can solve for the variable P with the first equation:

P = F + 0.50P = 1 + 0.50P = 1.50

So, we have the price of each item:

Popcorn = 1.50Drink = 1.25Fruit = 1

If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults

let h (x)= -x-18 find h (3)

Answers

Answer:

-21

Step-by-step explanation:

h(x) = -x-18

h(3) = -(3)-18 = -21

Answer:

[tex]h(3)=-21[/tex]

Step-by-step explanation:

One is given the following:

[tex]h(x) = -x - 18[/tex]

One is asked to find the value of ([tex]h(3)[/tex]). Substitute ([tex]3[/tex]) in place of ([tex]x[/tex]) and simplify to evaluate,

[tex]h(x)=-x-18\\\\h(3)=-(3)-18\\\\h(3)=-3-18\\\\h(3)=-21[/tex]

Two-thirds a numberx plus 4 is 8.

Answers

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

[tex]\frac{2}{3} n+4=8\\\\[/tex]

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

[tex]\frac{2}{3}n=4[/tex]

So now we divide both sides by 2/3.

This now equals:

[tex]n=6[/tex]

Pls answer this It will help me understand this question

Answers

r:-

[tex]\\ \rm\hookrightarrow r+60+50=180[/tex](Supplementary)

[tex]\\ \rm\hookrightarrow r+110=180[/tex]

[tex]\\ \rm\hookrightarrow r=180-110[/tex]

[tex]\\ \rm\hookrightarrow r=70[/tex]

p:-

[tex]\\ \rm\hookrightarrow p=50(Opposite\: angles)[/tex]

q:-

[tex]\\ \rm\hookrightarrow q=70+60(Opposite \:angles)[/tex]

[tex]\\ \rm\hookrightarrow q=130[/tex]

Answer:

[tex]{ \sf{60 \degree + r + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{r + 110\degree = 180\degree}} \\ { \underline{ \sf{r = 70\degree}}}[/tex]

[tex]{ \sf{q + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{q = 180\degree - 50\degree}} \\ { \underline{ \sf{q = 130\degree}}}[/tex]

[tex]{ \sf{p + q = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{p + 130\degree = 180\degree}} \\ { \sf{ \underline{p = 50\degree}}}[/tex]

or:

[tex]{ \underline{ \sf{p = 50\degree \: \{alternate \: angles \}}}}[/tex]

Find the minimum value of the function:
f(x) = x2 + 9x – 16.

Answers

complete the square by halving the x coefficient and putting that in a squared bracket with x:

(x + 4.5)^2

This will give us an extra 20.25 we don’t want, so takeaway 20.25:

(x + 4.5)^2 — 20.25

Takeaway the 16 in the question:

(x + 4.5)^2 - 20.25 - 16 = (x + 4.5)^2 - 36.25

The minimum x coordinate is the number in the bracket with the opposite sign, thus the answer is -4.5 (the minimum y coordinate is the number outside the bracket with the same sign, -36.25)

2(k + 1) = -4(k - 2)​

Answers

Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

Other Questions
Which equation represents a line which is perpendicular to the line y == -x - 726x - 5y = 30Oby - 52 = 18Submit AnswerO 6x + 5y = 20O 5x + 6y = 42PLS HELP ASAP what did europeans discover would happen if they planted potatoes instead of grain? In a pyramid of numbers, what will be the largest trophic level?A. Primary ConsumersB. Secondary ConsumersC. DecomposersD. Producers what was the narrator former job in the Albany Marquis wants to create his own boy band in an effort to become famous. He wants to model his group after the famous boy bands of the1990s. What should he do to MOST accurately imitate these groups? Should the United States government increase the amount of taxes it collects? Yes or no? Explain what is the radius of a circle with the end points (-1,-2) and (5,3) what is the difference between the two reactions that can occur during radioactive decay? Help please hurry I dont have much time!!! 42% of the people of the people are ahead of me and 56% of them are behind me how many people are in the line? Find the value of x (trig) How does the Declaration also place considerable blame on the British Parliament? I enjoy cooking I like to go out to eat sometimes, too. Which of the revisions corrects the sentence? I enjoy cooking, but I like to go out to eat sometimes, too. I enjoy cooking: I like to go out to eat sometimes, too. I enjoy cooking, I like to go out to eat sometimes, too. I enjoy cooking; and I like to go out to eat sometimes, too. 8.Thesquare of a number is always greater than the number. What prezygotic reproductive isolating mechanisms best explains why salamanders that mate in May do not successfully mate with salamanders that mate in July? Which term defines a well tested,scientifically supported statement that describes how something happens , | what are gamma rays and what are its uses?? define the plate tectonics This was NOT a subject the Mayans used in their artworks.O godsOlegendsO seascapes