What is the simplest form of (4x^3 + 6x - 7) + (3x^3 - 5x^2 - 5x + 9)

Answer:

  (a) more

  (b) less

  (c) more

  (d) greater

  (e) Left to right: Susan, George, Antonio, Maria

Step-by-step explanation:

When a point total is lower, more points are needed to stay in the game.

__

(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.

__

(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.

__

(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.

__

(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.

__

(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.

_____

* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.

The problem is poorly worded. The answer choices above are consistent with the problem statement overall.

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

Answer:

r =

Step-by-step explanation:

r=30√12,−30√12

Answer:

r=2/5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.

Answer:

C - with explanation

Step-by-step explanation:

First, when you graph an inequality that uses a < or > it's plotted with a dashed line to show the line isn't included in the region.

Inequalities with a [tex]\leq or \geq[/tex] are plotted with a solid line to show the line is included in the region.

You can eliminate B and D because they are showing a graph using < or >

Now we know it's either A or C.

To figure out each, let's pick 4 random points, one in each quadrant and color.

Let's pick (3,3) (3, -3) (-3,3) (-3,-3) For an easier visual they would be

                              |                              

            (-3,3)          |    (3,3)                              

      ___________|____________                                                                                                                                

                              |                                  

           (-3,-3)          |     (3,-3)                          

                              |                            

Plus in the values for each inequality:

(3,3)          x + 2y [tex]\leq[/tex] 4                          3x - y [tex]\geq[/tex] 2

                 3 +[tex]\geq[/tex] 2(3)                              3(3) - 3

                 3 + 6 = 9                            9 - 3 = 6

                 9 is not [tex]\leq[/tex] to 4                    6 is [tex]\geq[/tex] 2

So this is a valid point because it works in the 2nd equation.

We got lucky and the first point we chose eliminates option A because (3,3) is a point that works and option A shows that area as being "out of bounds."

To test option C let's pick a point in the undefined area. Let's choose (-1,3)

(-1,3)          x + 2y [tex]\leq[/tex] 4                          3x - y [tex]\geq[/tex] 2

                 -1 +[tex]\geq[/tex] 2(3)                           3(-1) - 3

                 -1 + 6 = 5                            -3 - 3 = - 6

                 5 is not [tex]\leq[/tex] to 4                    -6 is not  [tex]\geq[/tex] 2

So this point in the white area is not valid for either inequality.

Now we know for sure the correct option is C.

Answer:

17 1/4 lb = 17.25 pounds

Step-by-step explanation:

Karl bought

Beef=8 17/25 lb

Pork= 17 1/4 lb

Express the number of pounds of pork he bought using a decimal

Pork= 17 1/4 lb

1 lbs to pound = 1 pound

17 1/4

= 69/4

=17.25 pounds

Alternatively

17 whole number

1/4=one quarter=0.25

Now 17 + 0.25

=17.25 pounds

Beef=8 17/25 lb

Beef to pound in decimal

8 whole number

17/25=0.68

8+0.68 = 8.68 pounds

Beef= 8.68 pounds

Pork=17.25 pounds

Answer:

She needs to eat 5 ounces of cheese and 1 ounce of yogurt

Step-by-step explanation:

Rachel should have 15 ounces of  yogurt and 14 ounces of cheese.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. let Rachel have x ounces of cheese and y ounces of yogurt. Then we have the following equations

3x+y=57

0.012x+0.044y=0.84

Solving these two equations we get y=15.3 or 15 ounces (approx)

and x= 13.9 or 14 ounces(approx) respectively.

Hence, Rachel should have 15 ounces of  yogurt and 14 ounces of cheese.

Learn more about the solutions of linear equations here:

https://brainly.com/question/545403

#SPJ2

Answer:

37.5%

Step-by-step explanation:

3/8 = 37.5%

Answer:

p= -80

Step-by-step explanation:

DON'T FORGET TO INCLUDE THE NEGATIVE

1. Isolate the p

2. Bring the .6 to the other side by doing the opposite. In this case adding.

3. You now should have -0.07=5.6

4. You are going to continue to isolate the variable.

5. You are going to do the opposite of multiplication to the -0.07. (Didn't know how to word this part)

6. You are going to divide both sides by -0.07. Which would give you -80.    

DON'T FORGET TO INCLUDE THE NEGATIVE

Answer:

Area of both triangles = 8*5 = 40

Rectangle Area = 8*18 = 144

Semi Circle Area = Pi*r^2 / 2 = (3.14159*81)/2 = 127.34

40 + 144 + 127.34 = 311.34 square feet

answer is B

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.

However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.

-7+52=45

45-4=41

The answer is 41!

Hope this helps!

Answer:

D

Step-by-step explanation:

So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.

To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:

[tex]x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.

Plugging in all into the equation, we have:

[tex]x_n=-7+4(d-1)[/tex]

So, to find the 13th term, use 13 for n:

[tex]x_{13}=-7+4(13-1)\\x_{13}=-7+4(12)[/tex]

Simplify:

[tex]x_{13}=-7+48\\x_{13}=41[/tex]

So, the 13th term is 41.

The answer is D.

Answer:

4-40-15=-21

Step-by-step explanation:

you just replace x and y for the given numbers in this problem

Answer: 24th

7-14-21

3-6-9-12-15-18-21

plus the three extra days gets you the 24th

Answer:

C AND D

Step-by-step explanation:

KHAN ACADEMY.

C: c(n)= 64(1/2)^n for n greater than or equal to 3

D: d(n)= 128(1/2)^n for n greater than or equal to 4

The correct series is being generated by options B and D

A geometric series is a series for which the ratio of each two consecutive terms is a constant term called the common ratio.

The given series is 8 , 4 , 2 , 1......

Here, we should check the options one by one

So, option A is wrong.

So, option B is correct.

Hence option C is wrong.

So, option D is correct.

Find more about "Geometric Series" here: https://brainly.com/question/24643676

#SPJ2

Answer:

Use a graphing calculator.

Step-by-step explanation:

I don't get it, what are you suppose to do?

Answer:each sister get will get $525

Step-by-step explanation:

1st step

Eric and his sisters shared amount x in the ratio 2:7

total ratio = 2+7 = 9

2nd step ;

Total amount of money shared since Eric received $300

(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric

2/9 x X= 300

X=(300 x 9) / 2 = $1,350

Total money = $1,350

3rd step:

two sisters will receive

(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters

7/9 x $1,350 =  9,450/9 = 1,050

share of two sisters= $1050

if they share equally , each will receive  $1050/2 = $525

Answer:

24420.5

Step-by-step explanation:

Multiply all the numbers together to get the length of the cubiod

221*8.5*13= 24420.5

Hope this helped!

Answer:

[tex]\Huge \boxed{\mathrm{2 \ cm }}[/tex]

Step-by-step explanation:

[tex]\sf Volume \ of \ cuboid= length \cdot width \cdot height[/tex]

The width is 8.5 cm.

The height is 13 cm.

The volume is 221 cm³.

[tex]221 = l \cdot 8.5 \cdot 13[/tex]

Solving for [tex]l[/tex]

[tex]221=l \cdot 110.5[/tex]

Dividing both sides by 110.5

[tex]2=l[/tex]

The length is 2 cm.

Answer:

x≤−3 or x>−1

Step-by-step explanation:

Combine like terms

Isolate your variable x

Answer:

x<-3 or x>1

Step-by-step explanation:

you would just subtract 1 from both sides on the first one so you get 5x<-15 which can be x<-3 and for the second one -4x+6<10 subtract 6 so you get -4x<4 and divide by -4 which is x>1

X= -4, so when you plug it in and solve the problem you'll get x= -17 Reason: 3(-4)= -12+ -5 Which equals -17.

Answer:

15.11 lb

Step-by-step explanation:

At a butcher​ shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal

so Hilda bought ? lb of pork

Beef = 4 17/20 lb

Pork = x lb

Total Meat = 19 24/25 lb

Using decimal to express the pound of pork she bought, convert the pounds of beef and total meat she bought into decimal

Beef = 4 17/20 lb = 4.85 lb

Total Meat = 19 24/25 lb = 19.96 lb

Total meat = Beef + pork

19.96 lb = 4.85 lb + x lb

Subtract 4.85 from both sides

19.96 - 4.85 = 4.85 + x - 4.85

15.11 = x

x= 15.11 lb

Therefore, pounds of pork she bought = 15.11 lb

Answer: y=-2/3x+3

hope this helped

Answer:

x is 49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

i just took the test

Answer: C: Expression B and D

Step-by-step explanation:

Say the item is $100. 20% of 100 is equal to 100 (20/100)

When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.

So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.

Now plug in 100 for p in each equation. The equation that equals 80 is the answer.

Only equation B and D equals 80 when 100 is plugged in.

Answer:

A.20_ 3=17..

option A is the answer

Answer:

A) 20 - 3

Step-by-step explanation:

20 - 9÷3

Use PEMDAS.

First Division should be done

So, 20 - 9÷3 = 20 - 3

Answer:

Step-by-step explanation:

[tex]8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x[/tex]

Answer:

7x

Step-by-step explanation:

it is quite clear and also very easy look...

8x -1x = 7x

                 whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations

so easy hope you found it helpful

plz rate and mark the brainliest if you found it helpful....

Answer:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

Step-by-step explanation:

Given the function to represent the distance traveled by the object in [tex]t[/tex] seconds:

[tex]y = 4.9t^2[/tex]

To find:

Object's average speed during the first 4 seconds ?

Instantaneous speed at t = 4 seconds

Solution:

Average speed of a moving object is given by, Total Distance covered divided by Total time taken.

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

Let us find the distance traveled in 4 seconds by putting t = 4 in the equation [tex]y = 4.9t^2[/tex]

[tex]y = 4.9\times 4^2 = 78.4\ m[/tex]

Now, let us put the values in the formula:

[tex]\text{Average Speed = }\dfrac{78.4}{4} = \bold{19.6\ m/s}[/tex]

For instantaneous speed, we need to differentiate y w.r.to t:

[tex]Speed = \dfrac{d}{dt}y = 4 \times 4.9 t^{2-1}\\\Rightarrow Speed = \dfrac{d}{dt}y = 4 \times 4.9 t[/tex]

Now, let us put t = 4 seconds

Speed = [tex]4\times 4.9\times 4[/tex] = 39.2 m/s

The answers are:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

Answer:

$0.10 less

Step-by-step explanation:

First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand y