which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)

Answers

Answer 1
[tex]\text{Use the distributive property:}\\\\a(b+c)=ab+ac[/tex]

[tex]2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49[/tex]


Related Questions

Write each ratio as a fraction in simplest form. Then explain its meaning. 4 flutes and two drums

Answers

The ratio would be 4:2. In simplest form, it would be 2:1. The meaning is that since there are 4 flutes, the first ratio number would be 4. Same with the 2 drums. How you would simplify it is that you have to minus it down. Since 2 can go into 4, the logical answer would have to be 2:1

The ratio as a fraction in its simplest form for the Number of drums and flutes is 1:2.

What is a Ratio?

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six.

A ratio shows us the number of times a number contains another number. Given the following details:

Number of drums = 2

Number of flutes = 4

The ratio for the number of drums to the number of flutes in its simplest form can be written as,

Number of drums / Number of flutes = 2 / 4

Dividing both the numerator and the denominator of the fraction by 2, we will get,

Number of drums / Number of flutes = 1/2

Hence, the ratio as a fraction in its simplest form for the Number of drums and flutes is 1:2.

Learn more about Ratios here:

https://brainly.com/question/1504221

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Is the equation True, False, or Open?
1. (12+8)÷-10=-12÷6
2. 3(-6)+5=26-3
3. 8x+3=10x-1

Answers

1. True
Explanation: (12+8) = 20 . . . 20/10 =and 12/6 = 2

2. False
Explanation: 3(-6) = -18+5 = -13 . . . 26-3 = 23

3. I'm not quite sure about this one, but here's what I got:
Explanation: 8x-3 /8 = x=3/8 . . . 10x-1 /10 = x=-1/10

Also with the "open" option I've never heard of that option before so I'm not sure about that  answer choice.



In 2009, Usain Bolt set the world record for sprinting 100 m, in approximately 9 3/5, seconds. Find his average speed in meters per second.

Answers

Answer:

Step-by-step explanation:

10 5/12 is the answer I just saw it on Khan Academy It told me the answer

Hope this helps

Regards Jaygtgajm11

what is the answer and how did you figure it out??

Answers

The answer is A, I figured this out by process of elimination.

On Tuesday , a local hamburger shop sold a combined total of 423 hamburgers and cheeseburgers . The number of a cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday ?

Answers

141 hamburgers were sold on Tuesday. 

Answer:

Step-by-step explanation:  A total of 517 tickets were sold for the school

play. They were either adult tickets or students' tickets There were 67 students' tickets    than adult tickets. How many adult tickets were sold?

Plz help... Which set of ordered pairs represents y as a function of x?

A)
{(-9, 2), (0, 6), (1, -2), (-3, 6)}


B)
{(-1, 0), (4, 3), (-7, -3), (-1, -8)}


C)
{(3, 2), (-4, -2), (3, 1), (-4, 1)}


D)
{(5, 4), (2, 3), (1, 1), (2, 4)}

Answers

it is a cuz to  be a function the x (domain) can only have one y (range)  in d it is the number 2 in the 2nd and fourth set of ordered pairs in c it is 3 the first one and the 3rd in b it is -1 its the first and the last one 
hope i helped you if u dont mind can i have brainlest 

Jerri needs 3/4 cup of oil and 1 cup of vinegar to make salad dressings. If he only has 2/3 cup of vinegar, how much oil should he use?

Answers

(3/4) / 1 = x / (2/3).....3/4 oil to 1 cup vinegar = x oil to 2/3 cups of vinegar
cross multiply because this is a proportion
(1)(x) = (3/4)(2/3)
x = 6/12 reduces to 1/2 cup of oil <===
if he has 2/3 cup of vinegar he must put 0.4 cup of oil

Jeremy has 144 marbles. He gives half to Marsha. Then he gives half of what he has left to Sam. He shares in the same way with two more friends. Write the terms that shows the number of marbles Jeremy has.

Answers

Hey!

So, If you want to figure out how much marbles Marsha gets, you first divide 144 by 2. And that equals 72. So Marsha gets 72. THEN, Halve goes to Sam so Sam gets halve of 72. And halve of 72 is 36. 

SO MARSHA GETS 72 MARBLES JEREMY GETS 36 AND SAM GETS
36.


Yeah Marsha gets 72 marbles and Jeremy gets 36 and Sam gets 36

If x=4 evaluate -x.

Answers

the answer is -4 hope I helped
The negative symbol in Algebra means "the opposite of".

If x equals 4, then -x equals -4.

there are 5 dogs, 8 cats, and 2 birds for sale at the pet store. what is the ratio in simplest form of birds to cats?

Answers

2:8 and simplest form is 1:4


Consider the graph of the linear function h(x) = –2/3x + 5. Which could you change to move the graph down 3 units?


the value of b to –3

the value of m to –3

the value of b to 2

the value of m to 2

Answers

Since the graph went down two units...

The value of b to 2 because you start with 5 as your y-intercept

One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?

Answers

Write and solve the equation of 2 ratios:

   60 teeth       50 rev
-------------- = -------------
   40 teeth          x

x= 3000/40 = 75

The smaller (40 tooth) gear will make 75 rev in a min.
60/50= 1.2 

1.2= 40x
x=40/1.2 
x=33.3

solve for x
12x>9(2x-3)-15

Answers

12x > 18x - 27 - 15
12x > 18x - 42
18x - 12x > 42
6x > 42
x > 42 ÷ 6
x > 7

Antonio owes $15 less than Maria owes. This means that Antonio's balance is _________ than Maria's balance. (Maria owes more than $30)

Answers

greater is the answer for the blank space
Antonio's balance would be greater than Maria's balance because Maria owed more money.

How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes? Only Answer If You Know Please!!!

Answers

This means that the object is miving at 6 miles per hour. Saying so it will take 6 hours to go 36 miles
It will take 6 hours because the person is traveling at 3 miles per 30 minutes. In other words, he/she is traveling 6 miles per hour. 

This question doesnt make sense, can you help me?

Answers

Greetings!

[tex]- \frac{1}{3}k=9[/tex]
Divide both sides by -1/3.
[tex](- \frac{1}{3}k)/- \frac{1}{3}=9/- \frac{1}{3}[/tex]
[tex]k=9/1*- \frac{3}{1}[/tex]
The Answer Is:
[tex]k=-\frac{27}{1}[/tex]
or...
[tex]k=-27[/tex]

Hope this helps.
-Benjamin

I WILL GIVE BRAINLIEST to who answers this question right

Answers

Answer:

  41 2/3 feet

Step-by-step explanation:

The sum of wall lengths (in feet) is ...

  (12 1/4) + (10) + (12 1/4) + (10 -2 5/6)

  = (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)

  = 42 + (3/12 + 3/12 -10/12)

  = 42 - 4/12 = 42 - 1/3

  = 41 2/3 . . . feet

What is the distance between points (4,-3) and (9,-3)

Answers

If l remember right, (l haven't done this in a long time) the answer is (5, 0)
it is 5,0 because 9,-3  - 4,-3 = 5.0

Answer this question but I need you to show work

Answers

just add the 2 numbers together,

 the less expensive player cost $238 and it is $98 less than the more expensive one

 more expensive one cost 238 + 98 = $336

x = less expensive one. y = most expensive one

x = y - 98
x = 238

238 = y - 98
238 + 98 = y
336 = y <== the expensive one


4x-3(x-2)-x
I have 6. Is that correct?
4x-3x-x=0
And -3*-2=6
0+6=6

Answers

4x - 3(x - 2) - x
4x - 3x + 6 - x
4x - 4x + 6
6....u r correct because ur x's cancel out

if 40% of the pieces of cheese on a cheese platter are chedar and there are 50 pieces of cheddar cheese on the platter, how many total pieces of cheese are on the platter?

Answers

125 I think double check

Answer:

125

Step-by-step explanation:

what is the constant of variation of y=3x

Answers

y=kx so 3 would be the constant

Describe a real world situation that does match the situation y=5x + 100

Answers

Your school is having a play. Each student (each student that attended represents x) much pay 5$ for a ticket. You got 100$ in donations but how much total money (total money earned represents y) did you raise?

For each handmade card Jacquie sells, she makes a profit of $0.35. In one week she made a profit of $42. she sells the cards for $0.75 Part 1 : about how many greeting cards do she sell that week? Part 2 : about how much did she earn before paying expenses?

Answers

Answer:

A) 120 cards; and

B) $90.

Explanation: Let x be the number of greeting cards sold that week. She earns $0.35 per card and earned $42; this gives us the equation 0.35x = 42 Divide both sides by 0.35: 0.35x/0.35 = 42/0.35 x = 120 She sold 120 cards. She sells each card for $0.75. This means she earned 0.75(120) = $90.  

Solve the compound inequality 6x-4 <-34 or 3x +10>10

Answers

6x-4<-34
6x>-30
x>-5

3x+10>10
3x>0
x>o
6x-4 < - 34
6x  > -34 + 4
6x > -30
x > -5

3x + 10 > 10
3x > 10 - 10
3x > 0
x > 0

a recipe calls for 1 1/2 cups of flour, 3/4 cups of white sugar, and 1/3 cup of brown sugar the recipe makes 6 servings.

(a) how many total cups of flour are there per serving? show your work

(b) how many total cups of sugar (white and brown) are there per serving?show your work

(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work

Answers

Answer:

(a) 0.25 cups of flour

(b) 0.18 cups of sugar

(c) 0.5 cups of flour

Step-by-step explanation:

The recipe requires 3 amounts of ingredients to make 6 servings. The following is needed:

1. 1 1/2 cups of flour

2. 3/4 cups of white sugar

3. 1/3 cups of brown suger

a) The total cups of flour per serving can be determined by dividing the flour needed for 6 servings by 6:

[tex]=1.5/6=0.25[/tex]

0.25 cups of flour is needed per serving

b) The total cups of brown and white sugar can be determined by divided both quantites by 6 servings.

For brown sugar = 0.75/6 = 0.125 cups of brown sugar

For white sugar = 0.333/6= 0.0555≈0.055 cups of white sugar

Total amount of sugar = brown sugar + white sugar = 0.125+0.055=0.18 cups of sugar

c) If we can make 9 servings we can determine the the percentage of more servings and the amount of flour for the modified recipe.

The percentage change of recipes = ((9-6)/9)*100=33.33%

Therefore the new amount of flour needed is:

[tex]1.5*0.3333+1.5=2[/tex]

Therefore we need 2-1.5=0.5 cups more flour than the original recipe

When graphing slopes or inequalities, if the x is negative does the line look like this: \
and the positive like this? /

Answers

if the slope is negative, the line would look like this: \

Solve for 9c + 4 = -23

A. -3
B. 3
C. -2.1
D. 4

Answers

9c +4 = -23

subtract 4 from each side

9c = -27

 divide both sides by 9

c = -27 /9 = -3

c = -3

when five is added to three more than a certain number,the result is 19.what is the number?

Answers

when 5 is added to 3 more then a certain number, the result is 19

x + 3 + 5 = 19
x + 8 = 19
x = 19 - 8
x = 11 <== ur number

Five is added to three more than a certain number, resulting in 19

5 + 3 + (x) = 19

8 + x = 19

x = 19 - 8 = 11


Thus, the certain number is 11.

Which value of a would make the following statement true -4(2x - a) = -8x + 16?

A. -16

B. -4

C. 4

D. 16

Answers

The answer would be B. -4
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