Determine the correct answer to the following
system of equations:
=
3x – y = 2
-2x + 4y = -8

Answer:

[tex]tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}[/tex]

Step-by-step explanation:

[tex]tan(theta)=\frac{Opp}{Adj}[/tex]

Unless you want to solve for A and B plug that into inverse calculator.

A = tan^-1 ( 12/20 ) = 31°

A = 31.0°

B = tan^-1 ( 20/12 ) = 59.0°

B = 59.0°

(receipt one)

burger = 9

18% tip = 2.16

total with tip = 14.16

(receipt two)

salad = 8

total = 11

total with tip = 12.98

(receipt three)

salad = 8

water = 1.5

total = 9.50

18% tip = 1.71

Step-by-step explanation:

calculator

Answer:

5) A - slope is positive, b = 0

6) D - slope is negative, b = 1, function is linear

7) D - b = 0

8) C - slope is negative, b = negative

Step-by-step explanation:

Hope this helps!

Answer:

B

Step-by-step explanation:

3/20x3/20=

15/100x15/100

Answer:

  A/(x+7) +B/(x+4)

Step-by-step explanation:

The denominators of the partial fraction expansion are the factors of the denominator of the rational function.

__

Here, the rational function's denominator can be factored as ...

  x² +11x +28 = (x +7)(x +4)

Then the form of the decomposition is ...

  [tex]\dfrac{x-2}{x^2+11x+28}=\boxed{\dfrac{A}{x+7}+\dfrac{B}{x+4}}[/tex]

_____

Additional comment

Here, A=3. B=-2.

If the factors of the denominator have multiplicity greater than 1, then there is a fraction with each power of that factor up to the multiplicity. For example, if there is a factor (x+4)³, then the decomposition would include fractions A/(x+4) +B/(x+4)² +C/(x+4)³.

Answer:

D; y=125.3x2+257.8x+183.3

Step-by-step explanation:

I just took the test

have a good day! :)

Answer:

i dont understand i need pic

Answer:

0.45

3.25

Step-by-step explanation:

16.25 ÷ 5 = 3.25

15.25 - 3.25 × 4 = 2.25

2.25 ÷ 5 = 0.45

Check Answer:

3.25 × 5 = 16.25

0.45 × 4 = 2.25

3.25 - 2.25 = 1

16.25 - 1 = 15.25

~lenvy~

If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.

A fraction represents a part of a whole.

Given that rena divides a square into 8 equal part.

A division is a process of splitting a specific amount into equal parts.

Let the whole square is divided into eight equal parts.

Which can be represented by 1/8.

Where the numerator 1 represents the whole and eight represents the parts.

The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.

This means each part is one eighth of the whole.

Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.

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Let

[tex]S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n[/tex]

where we assume |r| < 1. Multiplying on both sides by r gives

[tex]r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}[/tex]

and subtracting this from [tex]S_n[/tex] gives

[tex](1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}[/tex]

As n → ∞, the exponential term will converge to 0, and the partial sums [tex]S_n[/tex] will converge to

[tex]\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}[/tex]

Now, we're given

[tex]a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a[/tex]

[tex]a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}[/tex]

We must have |r| < 1 since both sums converge, so

[tex]\dfrac{15}a = \dfrac1{1-r}[/tex]

[tex]\dfrac{150}{a^2} = \dfrac1{1-r^2}[/tex]

Solving for r by substitution, we have

[tex]\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)[/tex]

[tex]\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}[/tex]

Recalling the difference of squares identity, we have

[tex]\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}[/tex]

We've already confirmed r ≠ 1, so we can simplify this to

[tex]\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15[/tex]

It follows that

[tex]\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12[/tex]

and so the sum we want is

[tex]ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}[/tex]

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

Answer:

zero (0)

Step-by-step explanation:

The degree of the polynomial -57 is zero (0).

Hope it helps you in your learning process.

[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]

Step-by-step explanation:

y - x = 4x (vertically opposite angles)

y = 5x

4x+ y+x = 180

5x+5x = 180

x = 18

y = 90

Answer: 26 sales

Step-by-step explanation:

If you plug in 26 you will get exactly $1,000

Martin needs to sale 8 pieces to make it $1000.

Martin has to save $1000.

He is using an app to manage all the sales, but if keeps fraction of every sales.

The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]

We have to solve the given quadratic equation.

Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a

⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2

⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2

⇒ x= -10±[tex]\sqrt{296}[/tex]

⇒ x= -10±17.2

We habe to take the maximum value of x. So we neglect the negative sign.

Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.

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Answer:

8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)

Step-by-step explanation:

The correct option regarding the operation of cancellation in a fraction is given by:

A. reducing fractions to make multiplying easier.

It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:

[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]

The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.

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Answer:

I think so none

answer to the following steps below:-

I hope my answer helps.

The statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

A function assigns the value of each element of one set to the other specific element of another set.

Function g is represented by the table.

The line plotted with these data is shown below where y represent the g(x).

In this line,

Thus, the statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

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Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage to the trees.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Given, The ranger parks at the side of the road and chooses 100 trees near the road to assess for damage hence, trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.

So, Consequently, the results can exaggerate the total amount of tree damage.

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Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.

Step-by-step explanation:

Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

960 cm²

Answer:

Revenue=$6000

Step-by-step explanation:

A = PRT

100

A= (10,000×4×15)/100

= (10,000×60)/100

= 600,000/100

=$6000

Hideki recognizes a $17,490.06 revenue.

Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.

Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,

To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:

x = 10000 x 1.15^4

x = 10000 x 1.749

x = 17490.06

Therefore, Hideki recognizes a $17,490.06 revenue.

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Answer:

4/3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]

Convert to the form above:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]

Therefore, the solution is 4/3