A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using
substitution. The class has suggested four different methods.
Which describes the correct method?
O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two
expressions must be equivalent.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two
expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.
O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.
6:55 PM
5/15/2020
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Answers

Answer 1

Answer:

  Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.

If the expressions have the same value for two different variable values, they are equivalent. (choice D)

_____

Additional comment

One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.


Related Questions

What is the slope of the line

Answers

Answer:

4/5

Step-by-step explanation:

There are so many points on the graph whose coordinates are impossible to estimate. Look for two "nice" points--points with integer coordinates. The line passes through (-2, 0) and (3, 4).

Slope = rise / run. It's the ratio of vertical change to horizontal change as you move from one point on the line to another.

Moving from (-2, 0) to (3, 4), the vertical change is 4 - 0 = 4.

The horizontal change is 3 - (-2) = 5.

The slope is 4/5


How many feet would a 27-inch object measure?

Answers

2 1/4 feet
2ft 3in
_______

Answer:

2 feet 3 inches

Step-by-step explanation:

So we know there are 12 inches in one foot. so 27/3= 2 remainder 3. So the answer is 2 feet 3 inches

What is the classification for this polynomial?
7
Click on the correct answer.
monomial
binomial
trinomial

Answers

Answer:

7 is monomial

Step-by-step explanation:

An expression with only one term is called a monomial

✌️;)

7 !.!!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.

Simplify the expression below.
14a8y3 - 7 Ay5 + 28a12y2
7aty
A.
OB.
2a²y3 - ay5 + 4a3y2
2a4y? - JA + 428 y
2a4y3 – 5 + 428 y?
D. 2012,4 - 2876 +4215,3
C.

Answers

Answer:

14a8y3 - 7 Ay5 + 28a12y2-  7ay2 • (4a11 + 2a7y - y3)

Step-by-step explanation:

Equation at the end of step  1  :

 (((14•(a8))•(y3))-(7a•(y5)))+((22•7a12)•y2)

Step  2  :

Equation at the end of step  2  :

 (((14•(a8))•(y3))-7ay5)+(22•7a12y2)

Step  3  :

Equation at the end of step  3  :

 (((2•7a8) • y3) -  7ay5) +  (22•7a12y2)

Pull out like factors

Answer:   7ay2 • (4a11 + 2a7y - y3)

Hope this helps.

Determine two pairs of polar coordinates for (4,4) when 0° < θ < 360°

a(4√2, 45°), (-4√2, 225°)

b(4√2, 315°), (-4√2, 135°)

c(4√2, 135°), (-4√2, 315°)

d(4√2, 225°), (-4√2, 45°)

Answers

Answer: option a.

Step-by-step explanation:

In polar coordinates we have that:

x = r*cos( θ)

y = r*sin( θ)

we know that x = 4 and y = 4. now let's analyze the options:

a) x = 4√2*cos(45°) = 4 nice.

  y = -4√2*sin(225°) = 4 nice

Option a is correct

b) x = 4√2*cos(315°) = 4 nice

   y = -4√2*sin(135°) = -4 incorrect

option b is not correct

c) x = 4√2*cos(135°) = -4 incorrect

Option c is not correct

d) x = 4√2*cos(225°) = -4 incorrect

option d is not correct

To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,500, and the commission for each new account opened is $5,000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.

(a) Determine the equation for computing Gustin's profit per seminar, given values of the relevant parameters. Profit = (New Accounts Opened × ) –

(b) What type of random variable is the number of new accounts opened? (Hint: Review Appendix 11.1 for descriptions of various types of probability distributions.)

(c) Choose the appropriate spreadsheet simulation model to analyze the profitability of Gustin's seminars. (I) (II) (III) (IV) Would you recommend that Gustin continue running the seminars?

(d) How many attendees (in a multiple of five, i.e., 25, 30, 35, . . .) does Gustin need before a seminar's average expected profit is greater than zero?

Answers

Answer:

a) profit = (new account opened x 5000) -3500

b) Opening account is binomial distribution with n =25 and p = 0.01

c) Probability of loss is 0.77781 --I don't recommend the company that it running the seminar

d) n ≅ 71

Step-by-step explanation:

See attached image

Easy math, but not sure what I did wrong.
Alex took 31 exams during 5 years studying at the MaPhAs University. Each year, he took more exams than the previous year. During his 5th year, he took three times as many exams as in the 1st year. How many exams did Alex take during his 4th year at the university?

Answers

Answer:

8

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year.  So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3.  However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6.  Same problem as before.

If a₁ = 3, then a₅ = 9.  This is a possible solution.

If a₁ = 4, then a₅ = 12.  If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year.  So he took 19 exams total in his second, third, and fourth years.

3 < a₂ < a₃ < a₄ < 9

If a₂ = 4, then a₃ = 7 and a₄ = 8.

If a₂ = 5, then a₃ = 6 and a₄ = 8.

If a₂ = 6, then there's no solution.

So Alex must have taken 8 exams in his fourth year.

Find the following trigonometric values.
Express your answers exactly.
cos(315) =
sin(315)=

Answers

Answer:
Cos(315)= .6669156
Sin(315)= .74513326


Explanation:

The value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, cos(315°) and sin(315°).

So, the values are

Simplify the expression.

Exact Form:√2/2

Decimal Form:0.70710678…

sin(315°)

Simplify the expression.

Exact Form: -√2/2

Decimal Form: -0.70710678…

Therefore, the value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ5

What is the next term of the arithmetic sequence?
-2,3, 8, 13, 18,

Answers

Answer:

23

Step-by-step explanation:

difference between number is 5

5n-7 to get to next term

Ammariah has finished 17/20 of her homework. How much more does she have to complete.
A.15/100
B.6/10
C.3/10
D.6/20
EXPLAIN

Answers

Answer: A 15/100

Step-by-step explanation:

1. Convert 17/20 into percents

2. You get 85% Which is how much of her homework she has completed

3. To find what she has left subtract 85 from 100

4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete

a businesswoman sells a bag for $52.32, thereby making a profit of 9% on the cost of her. calculate the selling price the businesswoman should ask in order to make 20% profit​

Answers

Answer: $57.6

Step-by-step explanation:

Given : A businesswoman sells a bag for $52.32.

Let cuurent selling price : SP = $52.32

As they are making 9% profit now.

That means SP= Cp +0.09 CP , where Cp is the cost price of bag.

i..e [tex]52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}[/tex]

[tex]\Rightarrow\ 52.32=Cp(1.09)\Rightarrow\ CP=\dfrac{52.32}{1.09}=48[/tex]

i..e Cost price of bag = 48

Selling price to gain 20% profit = Cp+0.20CP

= CP(1+0.20)

=48 (1.20)

= 57.6

Hence, the  selling price the businesswoman should ask in order to make 20% profit​ = $57.6

Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer: D

Substitute 0 for x and to find the y-intercept.

y-intercept(s): (0,5)

What is the sixth term in the sequence 3, 6, 11, 18

Answers

Answer:

38

Step-by-step explanation:

3 to 6 is an add by 3 then 6 to 11 is an add by 5 then 11 to 18 is an add by 7 each add is increased by 2 so the next add will be 9 giving you 27 then you will add 11 because it's increased by two giving you 38

complete the recursive formula of the geometric sequence 0.2,-1,5,-25

Answers

Answer:

  s[1] = 0.2; s[n] = -5·s[n-1]

Step-by-step explanation:

To write a recursive formula, you need to know how a given term relates to the ones before it. Here, each term is -5 times the one before. So part of the formula is ...

  s[n] = -5·s[n-1]

The other part of a recursive formula is the part that tells the initial values necessary to make this recursive function work. Here, one initial value is needed. We know that the first term is 0.2, so that's what we need to say:

  s[1] = 0.2

__

The recursive formula is ...

s[1] = 0.2s[n] = -5·s[n-1]

Answer:

0.2

-5

Step-by-step explanation:

Can someone answer I barely have any points now :(

Answers

A. True, a rhombus is a parallelogram with equal sides. A rhombus has four congruent sides.

B. True, but there are two other ways to find the area of a rhombus: there is the "diagonals" method and the "trigonometry" method.

C. False, the area of a rhombus is not less than the area of a parallelogram because it will depend on the diagonals.

D. False, a parallelogram is not always a rhombus because the dimensions and other attributes of a parallelogram may vary while the rhombus will remain equal for all aspects.

E. True, if you use the base times height formula but if you used any of the other formulas this would be false.

What is the median of the following set of data ?



56.2 112.8 90.4 95.5 103.7 87.6 99.1 112.4 59.7

Answers

Answer: 95.5

Step-by-step explanation:

If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5

The height of a triangle is 18 inches. Find the length of the base if the area of the triangle is 63 square inches

Answers

Answer:

7 inches

Step-by-step explanation:

The area of a triangle is found by

A = 1/2 bh

We know the height is 18 and the area is 63

63 = 1/2 (b)(18)

63 = 9b

Divide each side by 9

63/9 = 9b/9

7 = b

The base is 7 inches

Answer:

7 inches

Step-by-step explanation:

Area = ½ base × height

63 = ½ × base × 18

63 = 9 × base

base = 7 inches

29. Find the circumference.
11
a. 3.14
b. 69.08
c. 121

Answers

Answer:

b.69.08

Step-by-step explanation:

formula:

c=2(pi)r

c=2(pi)11

Answer:b

Step-by-step explanation:

radius=r=11

π=3.14

Circumference=2 x π x r

Circumference=2 x 3.14 x 11

Circumference=69.08

What if f(x)=(1/7)(7x), what is f(3)

Answers

Answer:

  3

Step-by-step explanation:

f(x) = (1/7)(7x) can be simplified to ...

f(x) = x

Then for x=3, ...

  f(3) = 3

What’s the correct answer for this?

Answers

I’m pretty sure it’s B.

Need help on this assignment it is due VERY SOON

All have something to do with area of composite figures. Please help. I'd be very greatful.

Answers

Answer

the first photo answer is 174 (2nd photo is A) Answer to 3rd photo is 72. The last photo is 8100 ft²

Step-by-step explanation:

1st Photo

12 x 12 is 144

5 times 12 divided by 6 - (5 x 6) 30

144 plus 30 is 174

2nd Photo

3 x 5 15

15 is A

3rd Photo

6 x 12 is 72

72 for 3rd Photo

4th Photo

90 x 90 is

8,100

Ellis is 6 feet tall. If she currently has a 4 foot shadow, what angle are the sunrays making with the ground? Round decimal to the nearest hundredth.

Answers

Answer:

19.70

Step-by-step explanation:

For this case we have the following trigonometric relationship:

Tan (x) = (4/6)

Clearing the angle we have:

x = Atan (4/6)

x = 19.77

Rounding off we have:

x = 19.70 degrees

Needing help can’t seem to find the answers? ‍♀️

Answers

Step-by-step explanation:

19. Kim's Path = √240² + 100²

= √57600 + 10000

= √67600

= 260 ft.

Answer:

17 question: we are going to use Pythagorean Theorem :

33^2 + 56^2 = x^2

1089+3165 = x^2

4225=x^2

x=-65

x=65

the answer is c)65

18 question i dont know :((

19 question : we are going to use same method as the first question : the answer is 260 ft

that's all that i can do for you

Step-by-step explanation:

hope this helps you :)

when multiplying two negative intergers what is the sign of the product

Answers

Answer:

A Positive

Step-by-step explanation:

Two negatives cancel out and make a positive.

For example: -5  x -6 = 30

Find the slope, if it exists, of the line containing the points (-1,-15) and (-17,-20)
The slope is _____________________

Answers

y=.3125x - 14.6875 or y=5/16x - 235/16

Please help ASAP! giving BRAINLIEST if correct! What is the factorization of the polynomial below?

Answers

Answer:

2(x+6)(x+6)

Step-by-step explanation:

splitting the middle term:

2x²+12x+12x+72

then2x(x+6)+12(x+6)

=(2x+12)(x+6)

=2(x+6)(x+6)(by takin common factor out)

plzz mark me brainliest

Select the three side lengths, in centimeters (cm) that form a right triangle.

5 cm

6 cm

8 cm

10 cm

11 cm

12 cm

Answers

A right triangle can be made using the side lengths 3,4 5, so we can find multiples of those numbers. If you multiply 3,4 and 5 by 2 you get 6,8,10

The answer would be 6cm, 8cm, 10cm

Answer:

ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

Step-by-step explanation:

1 min to fill 16.50 gallons what is the constant

Answers

Answer:constant is 2/33

Step-by-step explanation:

1 min to fill 16.50 gallons

Time(t) varies directly as volume(v)

t α v

t =k x v Where k is constant

1=k x 16.50

k=1/16.50

k=2/33

Constant is 2/33

What point appears to be the solution to the system of
equations shown in the graph?

Answers

Answer:

x = -2

y= -5

is the solution of the system of equations

help ASAP! giving BRAINLIEST if awnsered correctly!​

Answers

Answer:

C. (5x + 6) (5x - 6)

Step-by-step explanation:

25 is a perfect square, meaning its two factors are identical (5), and 36 is also a perfect square with two identical factors (6). With this information, we can split the expression below like this:

[tex]25x^2 - 36\\(5x ) (5x )[/tex]

Since 36 is negative, we have to have a positive 6 and a negative 6:

(5x - 6) (5x + 6)

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