Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)

Answers

Answer 1

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 6

2.

4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17
Answer 2

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

[tex]\sf 8x-6+4x[/tex]

Combine like terms:

[tex]\sf (8x+4x)[/tex]

[tex]\sf 12x[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

[tex]\sf (4x+(-6x))[/tex]

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

→ [tex]\sf (5+12)[/tex]

[tex]\sf 17[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________


Related Questions

Helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

m = - 1

Step-by-step explanation:

9m + 13 = 4

subtract 13 from both sides

9m = 4 - 13

9m = - 9

divide both sides by 9

m = - 1  (negative 1)

Johan and Rahul shared a chocolate bar. Johan took 3\7
and Rahul took 4\9
of
the chocolate bar. Who took the biggest part of the chocolate bar? And by
how much?

Answers

Answer:

Rahul by 1

Step-by-step explanation:

Johan - 3/7

Rahul - 4/9

1. Convert fractions

3/7 -> 27/63

4/9 -> 28/63

28/63 > 27/63

Rahul took more by 1/63

From the graph, write the linear equation in slope-intercept form

Answers

Answer:

1.y=1/2+2

2.y=-2+1

3.y=3/2+3

4.y=-2/3-2

Step-by-step explanation:

Please put into slope intercept form and please SHOW THE WORK
4-2y=-2x

-y+6=x

6x-y-3=0

3y+15x=-15

Answers

5x+y= -5 , i hope I help you

Answer:

[tex]4 - 2y = -2x [/tex]

subtract the 4 from one side

[tex] - 2y = - 2x - 4[/tex]

divide the -2 from the y and the-2x and 4

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

-y + 6 = x

subtract the 6 and add -6 after the x

[tex] - y = x - 6[/tex]

6x - y - 3 = 0

add the y so it cancels out

y = 6x - 3

3y + 15x = -15

subtract the 15x

3y = -15x - 15

divide the 3

y = -5x -5



In comparing two distributions, which attribute would you not compare?

A. Joint frequency

B. Shape

C. Spread

D. Center

Answers

A. Joint frequency, it’s right I checked it myself

Answer:

If joint frequency isn't an option it is Marginal frequency

help with this question

Answers

Answer:

option D is correct

x=O and x=-8

D is right. X is 0 and 8

Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?

Answers

Answer:

$9.89

Step-by-step explanation:

1. Divide 15 from 100, which leaves you with 0.15%.

2. Multiply 8.60 and .15; that will get you 1.29.

3. Finally, add 1.29 to 8.60 to get your answer!  

Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.

Answers

Answer:

f'(x)=6x+8

Step-by-step explanation:

60% of all bald eagles survived their first flight. If 25 randomly selected bald eagles are observed, what is the probability that at least 15 of them will survive their first flight.

a) Use the binomial distribution to approximate the probability.

Answers

Answer:

[tex]100%[/tex][tex]\%[/tex]

Write an

exponential function in the form y = ab^x

that goes through points (0,13) and (3,832).

Answers

Answer:

y = 13 × [tex]4^{x}[/tex]

Step-by-step explanation:

Substitute the given values into the exponential

Using (0, 13 ) , then

13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so

a = 13

y = 13 [tex]b^{x}[/tex]

Using (3, 832 )

832 = 13 b³ ( divide both sides by 13 )

64 = b³ ( take cube root of both sides )

b = [tex]\sqrt[3]{64}[/tex] = 4

The exponential function is

y = 13 [tex](4)^{x}[/tex]

I was not taught this lesson in class today.

Answers

Answer:

C

Step-by-step explanation:

No slope is given so your slope is 0. Since both have no slope, they are both flat and therefore parallel

PLEASE HELP

A. identify the vertex


B. Identify the intercept


C. Write the equation of the graph above


D. Fill in the end behavior:


As x , y ____


As x 3, y ____


E. Identify the domain and range:

Answers

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

   x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4  =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

https://brainly.com/question/21685473

R.
Y.
12 cm
20 cm
13 cm

-
Find volume

Answers

Answer:

3120

Step-by-step explanation:

v=lxbxh

...........

Step-by-step explanation:

The volume = 12 × 13 × 20 = 3120

please give me a brainliest answer

Buffalo Bart’s Endless Wings charges $5.60 for sides and a drink, and then $0.40 per chicken wing. The Spicy Chicken charges $10 for sides and a drink, and then $0.20 per chicken wing. About how many chicken wings must be purchased so that the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken is the same?

Answers

Answer:

22.

Step-by-step explanation:

About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

Let's represent the number of chicken wings as "x".

The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):

Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x

The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):

Total cost at The Spicy Chicken = $10 + $0.20x

To find the number of chicken wings where the total costs are the same, we'll set up an equation:

$5.60 + $0.40x = $10 + $0.20x

Now, solve for "x":

$0.40x - $0.20x = $10 - $5.60

$0.20x = $4.40

Divide both sides by $0.20:

x = $4.40 / $0.20

x = 22

So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

y=rx 1/4/5/5/5

Step-by-step explanation:

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The proportional equation is

y = rx ( divide both sides by x )

[tex]\frac{y}{x}[/tex] = r

Substitute any ordered pair from the table

Using (14, 7 ) , then

r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]

2. A line passes through the points (4,7) and
(8, 6). The line also passes through the point
(a, 3.5) for what value of a? ​

Answers

Answer:

a = 18

Step-by-step explanation:

Slope = (7-6)/(4-8) = -1/4

y-intercept = 7 - (-1/4)(4) = 8

Equation of the line: y = - 1/4x + 8

(Substitute y for 3.5. When y is 3.5, what is x)

3.5 = - 1/4x + 8

3.5 - 8 = - 1/4x

(-4.5) / (- 1/4) = x

x = 18

M is the midpoint of segment AB.


AM=13x


BM=8x+10


AB=

Answers

13x = 8x + 10
5x = 10
x = 2

AM = 13(2) = 26

Since AM is half of AB,
AB = 26+26 = 52

AB = 52

Find the GCF for the pair of numbers. ​9,4

Answers

The GCF of numbers is the greatest common factor of the numbers.

The numbers are given as: 4 and 9.

Factorize both:

[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]

[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]

The common factor between  both is 1.

So, we have:

[tex]\mathbf{GCF = 1 }[/tex]

Hence, the GCF of 4 and 9 is 1

Read more about GCFs at:

https://brainly.com/question/20061154

The number of 90° angles formed by the intersections of and the two parallel lines and is

Answers

Answer:

is there supposed to be a picture that goes with this

Step-by-step explanation:

: 0

help please! no links!
-
-
-
-

Answers

Answer:

A

2,3     3,4.5    5,7.5

B

every 1:1.5

C

3,4.5   4,6   5,7.5

Step-by-step explanation:

because this is eqauling to all of the numbers

U= 1 A solution to the inequality below??

10>u

Answers

Answer:

Yes

Step-by-step explanation:

10>1

Hello 100 point Question with Explaining please

Answers

Answer: C

Explanation: When you graph each of them, answer c is the only one that has that slope and point.

maths .....................​

Answers

Answer:

in simplify this is- 9a2i+42ab+49b2

Step-by-step explanation:

Select all statements that are true about the triangles.

Answers

Answer:

D and E

Step-by-step explanation:

D) Δ ABC  , ΔDCB

AB = DC

BC = CB

AC =  DB

Side Side Side congruent.

E)Δ ABC  , ΔDCB

AB = DC

∠D = ∠A

AC = DB

Side Angle Side congruent.

Answer:

E

Step-by-step explanation:

When we write that 2 triangles are congruent we have to write the letters in order of their corresponding sides so ΔABC has the sides in order

AB, then BC, and then CA

the corresponding sides of the other triangle are

DC, then CB, then BD so the other triangle should be Δ DCB

because (AB≅DC, BC≅CB, CA≅BD)

In this case we eliminate the A,B,C answers.

D is also not correct because we do not know if <ABC is congruent with <DCB

E is correct because we are given the sides AB≅DC, and  CA≅BD and we know that  BC≅CB because of the reflexive property (a line segment is congruent with itself).

We have 3 ≅sides so we can use the Side-Side-Side Congruence Theorem

F is not correct because we have enough information.

A 56-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.​

Answers

Answer:

14-inch

Step-by-step explanation:

let the length of shorter piece be x

x+3x=56

4x=56

x=56/4

x=14

Please help me solve this

Answers

The answer is x = -18

Find the value of GM If DM = 35

Answers

GM=4r-28 GM. Substitute the given values into
the expression. DM=r+ 5+ 3r - 14. Collect the like terms.

Please help me in this!

Answers

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?

Answers

Answer:

82,000+7500+1,386=168,136

Step-by-step explanation:

You have to do Addition

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
A. The percent decrease was approximately 25%.
B. The percent decrease was approximately 33%.
C. The percent decrease was approximately 50%.
D. The percent decrease was approximately 66%.

Answers

IT'S D

HOPE THIS HELP MARK ME BRAINLIST

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