I need a little help with the second part of b and part c! + can y'all check my explanations please

a. (my answer for context) The system for this word problem is x+y=14; 11.99x+24.99y=245.86 (x is shirts and y is pants)

b. 1. Explain, without solving, which method is most efficient in solving this system: substitution, elimination, graphing, or making a table?
(my answer is substitution, because the solutions to x and y can easily be substituted into the first equation).

b. 2. Explain why the other methods are not as sufficient.
(I need a little help but I'm thinking it's because for this system solving method you basically only have to solve the second equation and then just substitute)

c. How could you simplify the numbers used in this system to simplify the system? Does this new system change your answer to part b? Explain. (What does this mean? How can I answer it?)

Assuming you want the y-intercept of the line through those two points, you can find it a couple of different ways.

The slope of the line is ...

... slope = (change in y)/(change in x) = (6-18)/(6-2) = -12/4 = -3

We are given the y-value for x=2. When x decreases by 2 to x=0, then the y-value changes by (-2)·(-3) = +6, from 18 to 24.

___

You can also write the equation of the line in point-slope form as ...

... y = -3(x -2) +18

Again, when x=0, the y-intercept is ...

... y = -3(0 -2) +18 = 6 +18 = 24

The y-intercept of the line through (2, 18) and (6, 6) is 24.

Curtains:

$24.50 x 3 = $73.50

Bedspread:

$39.95 x 3 = $119.85

Gallon of paint:

$24.96 x 3 = $74.88

Lamp shade:

$9.99 x 3 = $29.97

The cost of all the items:

$73.50 + $119.85 + $74.88 + $29.97 = $298.20

How much money is left:

$325 - $298.20 = $26.80

So the family has $26.80 left.

Hope this Helps!!

D. 5x = 45 because you are trying to find x, the number of tickets that must be sold to earn $45.

Answer:

5x=45

Step-by-step explanation:

Answer:

A) -0.18 rad

Step-by-step explanation:

arcsin(x) = a means that sin(a) = x

For example

arcsin(1) = pi/2.

It means that pi/2 is the value for which the sin is equals to 1.

arcsin(-0.18)

This is the value of x for which sin(x) = -0.18. This happens for x = -0.18 rad.

So the correct answer is:

A) -0.18 rad

i = [tex]\frac{prt}{100}[/tex]

with i = 120 then

p = [tex]\frac{100(120)}{6}[/tex] = $2000

Answer:

120 = p × 6% × 1

Step-by-step explanation:

just put in the answer

then it will be correct

Your sequence has a common difference of -8, so could be considered an arithmetic sequence with first term 79. A formula for the n-th term might be ...

... a[n] = 79 -8(n -1)

or

... a[n] = 87 -8n

yes

area = 18 × 22 = 396 ft²

Since 396 > 350

Caroline has more than enough to fill her garden

The appropriate choice for the interpretation of a correlation coefficient of 0 is ...

... B. There is not a linear relationship between x and y.

Answer:

B.  

There is not a linear relationship between x and y.

Step-by-step explanation:

PLATO fam

Answer:

x+7/8

Step-by-step explanation:

A polynomial has roots at the points where the curve cuts the x axis.

This can also be said as values of x for which the polynomial is 0

Given that when x =a is root means, we have x-a is the factor.

Based on the above, we find when 3/4, -7/8, -3/8 and -1/9 are roots

factors are x-3/4, x+7/8, x+3/8, x+1/9

Hence answer is

B) (x + 3/8)

The other options do not match with the factors only option Bmatches.

Answer: The factor of the polynomial is [tex](x+\frac{3}{8})[/tex]

Step-by-step explanation:

We are given:

4 roots of the polynomial

Root 1: [tex]\frac{3}{4}[/tex]

The factor for this root becomes: [tex](x-\frac{3}{4})[/tex]

Root 2: [tex]\frac{-7}{8}[/tex]

The factor for this root becomes: [tex](x+\frac{7}{8})[/tex]

Root 3: [tex]\frac{-3}{8}[/tex]

The factor for this root becomes: [tex](x+\frac{3}{8})[/tex]

Root 4: [tex]\frac{-1}{9}[/tex]

The factor for this root becomes: [tex](x+\frac{1}{9})[/tex]

Hence, the factor of the polynomial is [tex](x+\frac{3}{8})[/tex]

Graph [tex]f(x) = x^2[/tex]

quadratic function is of the form [tex]f(x) = ax^2 + bx +c[/tex]

In our f(x) there is no x term and constant so we put 0

[tex]f(x) = 1x^2+0x+0[/tex]

The value of a=1 , b=0  and c=0

To find vertex , use formula [tex]x= \frac{-b}{2a}[/tex]

Plug in the values

[tex]x= \frac{-0}{2(1)}[/tex] =0

Now plug in x=0 in f(x) equation

[tex]f(x) = x^2[/tex]

[tex]f(0) = 0^2[/tex]=0

So vertex is (0,0)

Now we pick some number for x below and above 0

Make a table

x            y=x^2

-2           4

0             0

2            4

Now plot all the points (-2,4) (0,0) and (2,4)

The graph is attached below

The answerer is combining terms in x with constants

that is, 13x + 5 ≠ 18x

13x + 5 + 17x - 4.5 + x

= (13x + 17x + x ) + 5 - 4.5 ← collecting like terms

= 31x + 0.5 ← correct simplification

combining terms in x with constants

13x + 5 ≠ 18x

13x + 5 + 17x - 4.5 + x

= (13x + 17x + x ) + 5 - 4.5 <--- collecting like terms

= 31x + 0.5 <--- correct simplification

Its simply just 8 minus 25 to find x but there is no fraction.

Step-by-step explanation:

Since we have given that

Amount of pay rate =$21

If she marked up by 78.7% , so it becomes

[tex]78.7\%\text{ of}\$21\\\\=\frac{78.7}{100}\times \$21\\\\=\$16.527[/tex]

So, our amount for pay rate becomes

[tex]21+16.527\\\\=\$37.527[/tex]

Now, he said he made a profit of 10%,so it becomes

[tex]10\%\text{ of }37.527\\\\=\frac{10}{100}\times 32.527\\\\=\$3.7527[/tex]

So, our new pay rate becomes

[tex]37.527+3.7527\\\\=\$41.2797[/tex]

This is the step through which we can get $41.28.

a) The sum of your ages is F + (F+B) = 2F+B.

b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.

c) The difference of your ages at any time is B.

Answer:

a) The sum of your ages is F + (F+B) = 2F+B.

b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.

c) The difference of your ages at any time is B.

D

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (0, - 5 )

m = [tex]\frac{-5-0}{0-3}[/tex] = [tex]\frac{5}{3}[/tex]

line crosses y-axis at (0, - 5 ) hence c = - 5

y = [tex]\frac{5}{3}[/tex] x - 5 ← in slope-intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange slope-intercept form into standard form

multiply all terms by 3

3y = 5x - 15 ( subtract 3y and add 15 to both sides )

5x - 3y = 15 ← in standard form → D

Answer:

its d on edgunity

Step-by-step explanation:

8m + 13g - 8 + 3m - g

8m + 3m = 11m

13g - g = 12g

11m + 12g - 8 ⇒ Your simplified expression

There you go! I really hope this helped, if there's anything just let me know! :)

Answer:

11m+12g-8

Step-by-step explanation:

8m+13g-8+3m-g

8m+3m+13g-g-8

11m+12g-8

There are several issues with this English description, as there often are.

We assume you mean you want to divide 10 into two equal parts, then subtract one of those parts from 50.

... (10/2) is half of 10

When that is subtracted from 50, the result is

... 50 - (10/2)

We assume you want one fifth of this result. Other interpretations are that you are subtracting 10/2 from (50/5), or that you are using the difference as the denominator with 1/5 or some other number of fifths as the numerator (dividing <the difference> into 1/5).

Then your expression might be ...

... (1/5)(50 -10/2)

_____

There are ways to write math expressions in English so they are unambiguous. This isn't one of them. It must be done very carefully, as English is often intentionally vague and subject to a variety of interpretations (as most human languages are). Good punctuation helps.

{362- {6x3+(48/2) x2]}+3(9+4)

{362- {6x3+24 x2]}+3(9+4)

{362- 66+3(9+4)

{362- 66+3(9+4)

{296+3(13)}

(296+39)

335

The Answer is 335.

To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations. After simplifying each part of the expression and performing the necessary operations, the final result is 287.

To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations, also known as PEMDAS. This acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, let's simplify the expression inside the parentheses: [6×3+(48÷2)×2].

Now, we add the results of the two evaluated expressions: 248+39. This gives us a final result of 287.

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Let the number of counties in state B be n, then the number of counties in state A is n+2 (the next even integer number after n). The sum of these two consecutive integers is 142, then

n+n+2=142,

2n=142-2,

2n=140,

n=70.

In state B there are 70 counties, and in state A there are 72 counties.

Answer:

The answer is C

Step-by-step explanation:

Your welcome :)

In order for the equation to work, x must be odd. Trying different values of x, we find 5 solutions:

(x, y, z) = (1, 4, 6), (3, 5, 7), (5, 6, 8), (7, 5, 2), (9, 6, 3)

Then the product xyz could be any of 24, 105, 240, 70, or 162.

This can be "unfolded" to ...

... -1 < x+3 < 1

Subtracting 3 gives the solution:

... -4 < x < -2

The point-slope form:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-1, 6) and (7, -2). Substitute:

[tex]m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}[/tex]

c is right answer because 54.15 is bigger than 54.05

In comparing decimal numbers using inequalities, choice C (54.15 > 54.05) is correct. The other three options incorrectly compare the numbers.

The question is asking us to compare two different decimal numbers using inequalities. Inequalities in mathematics are used to show the order of numbers, illustrating which is greater or less than the other.

Let's look at each option:

Therefore, the choice C correctly compares the two decimal numbers using inequalities.

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Policy value over 20 years = 125000

Per year, 125000/20=$6250

Look up premium table for age 40 and 45, the difference in total premium is C. $12,875.

To find the difference in total premium costs over 20 years for a whole life insurance policy at two age levels, calculate and subtract the total premium at each age.

To find the difference in total premium costs over 20 years for the whole life insurance policy at the two age levels, we need to calculate the total premium at each age and then subtract the two values.

Therefore, the difference in total premium costs over 20 years for this policy at the two age levels is 20 * x - 15 * y.

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There are the following numbers for which that holds:

{-4, -2, -1, 0, 1, 2, 4}

See table below. For larger than 5 it can be proved that the number of digits will never be the same.

x   x^2  x^3

0 0 0

1 1 1

2  4  8

4  16  64

Answer:

the answer if 4 numbers

(sorry i dont have an explenation i litterally guessed it when I entered it in the RSM portal.)

Step-by-step explanation:

Try this solution (see the attachment; the given series is an geometric series).

Answer is marked by red colour.