Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Options:
1. y= -3/4x+1
2. 3x-4y=-4
3.4x-3y=-3
4. y-2=-3/4(x-4)
5. y+ 2 = 3/4(x + 4)

Please help ASAP thank you ! :)

Answer:

Step-by-step explanation:

Carrying out the indicated multiplication, we get

3y - 6 + 6x + 6 - 2 = 0.

Combining like terms, we get 3y = -6x + 2.

Solving for y:  y = -2x + 2/3.

The slope is -2 and the y-inercept is 2/3.

The slope will be -2 and y-intercept will be 8/3.

Slope and y-intercept are key elements of a linear equation. The slope, denoted by b, describes the steepness of a line, while the y-intercept, denoted by a, is where the line crosses the y-axis.

The equation 3(y - 2) + 6(x + 1) - 2 = 0 can be rewritten as 3y + 6x - 12 + 6 - 2 = 0, which simplifies to 3y + 6x - 8 = 0.

To find the slope-intercept form, we can rearrange the equation to y = -2x + 8/3, where the slope is -2 and the y-intercept is 8/3.

Answer: -2z+2

Step-by-step explanation:

Simplify brackets

-3z + z + 2

Collect like terms

(-3z + z) + 2

Simplify

-2z + 2

Answer:

Step-by-step explanation:

[tex](-)(-)=(+)\\\\-3z-(-z-2)=-3z+z+2\qquad\text{combine like terms}\\\\=(-3z+z)+2=-2z+2[/tex]

Answer:

142°

Step-by-step explanation:

The angles of 38° and m<7 both make supplementary angles which equal to 180. Subtract 180 by 38.

Answer:

142

Step-by-step explanation:

Line M is a straight line. All straight lines have an angle measurement of 180 degrees.

m<7 + 38 = 180                 Subtract 38 from both sides.

m<7 + 38 - 38 = 180 - 38

m<7 = 142

ANSWER

d.

[tex]y = \frac{2}{x} [/tex]

EXPLANATION

A rational function is of the form:

[tex]r(x) = \frac{p(x)}{q(x)} [/tex]

where p(x) and q(x) are polynomial functions and q(x)≠0.

The first option contains the exponential function

[tex] {3}^{x} [/tex]

This disqualifies it from being a rational function.

The second and third options are polynomial functions.

By definition, all polynomials are rational functions.

The last option is a typical rational function because it has at least an asymptote.

The most correct choice is

[tex]y = \frac{2}{x} [/tex]

Answer:

The distance between 2 points is √97 or 9.84

Step-by-step explanation:

The distance between two points can be found using distance formula:

[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2

Putting values:

[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]

So, the distance between 2 points is √97 or 9.84

Answer:

  =sqrt(97)

Step-by-step explanation:

The distance between the two points is found by

d = sqrt(( x2-x1)^2 + (y2-y1)^2)

   = sqrt( ( 5--4)^2 + (2--2)^2)

   = sqrt( ( 5+4)^2 + (2+2)^2)

   = sqrt( ( 9)^2 + (4)^2)

  = sqrt( 81 + 16)

  =sqrt(97)

Answer:

A) a = 1050 and b = 0.81

B) 3.3

Step-by-step explanation:

Original price of the computer = $ 1050

Rate of decrease in price = r = 19%

This means, every year the price of the computer will be 19% lesser than the previous year. In other words we can say that after a year, the price of the computer will be 81% of the price of the previous year.

Part A)

The exponential model is:

[tex]v(t)=a(b)^{t}[/tex]

Here, a indicates the original price of the computer i.e. the price at time t = 0. So for the given case the value of a will be 1050

b represents the multiplicative rate of change i.e. the percentage that would be multiplied to the price of previous year to get the new price. For this case b would be 81% or 0.81

So, a = 1050 and b = 0.81

The exponential model would be:

[tex]v(t)=1050(0.81)^{t}[/tex]

Part B)

We have to find after how many years, the worth of the computer will be reduced to half. This means we have the value of v which is 1050/2 = $ 525

Using the exponential model, we get:

[tex]525=1050(0.81)^{t}\\\\ 0.5=(0.81)^{t}\\[/tex]

Taking log of both sides:

[tex]log(0.5)=log(0.81)^{t}\\\\ log(0.5)=t \times log(0.81)\\\\ t = \frac{log(0.5)}{log(0.81)}\\\\ t = 3.3[/tex]

Thus, after 3.3 years the worth of computer will be half of its original price.

The initial value of the computer (a) is $1,050 and the depreciation rate (b) is 0.81. After approximately 4.1 years, the computer's value will reduce to half its original price.

In this question, we have an exponential decay problem. In the formula v(t) = a*b^t, a is the initial value of the computer, and b is the rate of depreciation per year.

(A) In this problem, a = $1,050 (the initial cost of the computer), and b = 0.81 (1 - 0.19, since the computer loses 19% of its value per year), so the equation becomes v(t) = 1050 * (0.81)^t.

(B) To find when the computer will be worth half its original value, we can set up the equation 1050 * (0.81)^t = 525. Solving this equation for t (using a logarithm), we find that t ≈ 4.1 years.

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Answer:

6 3/5 , 3 4/5, 4/5

Step-by-step explanation:

1) -8 2/5 + 9 1/5 =

-42/5 + 46/5 = 4/5

2) 9 2/5 + (-5 3/5) =

47/5 + -28/5 = 19/5 = 3 4/5

3). 2 1/5 + 2 2/5 =

11/5 + 22/5 = 33/5 = 6 3/5

answer is tile 3 then tile 2 then tile 1

6 3/5 , 3 4/5, 4/5

The expression are arranged in the descending order, that is from largest to smallest as follows:

33/5 > 19/5 > 4/5

The expressions are the combination of various constants numbers and mathematical symbols. They form a meaningful context that is in accordance to the mathematical rules and theories.

The expressions are computed as follows:

Given:

-8 2/5 + 9 1/5

Computation:

={(-8*5)+2}/5 + {(-9*5)+1}/5

=-42/5 + 46/5

= 4/5

Given:

9 2/5 + (-5 3/5)

Computation:

={(9*5)+2}/5 + {(-5*5)+3}/5

=47/5 + -28/5

= 19/5

Given:

2 1/5 + 2 2/5

Computation:

={(2*5)+1}/5 + {(2*5)+2}/5

=11/5 + 22/5

= 33/5

Therefore, the expressions will be arranged in the order; largest to smallest: 33/5 > 19/5 > 4/5

Learn more about expressions, here:

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Answer:

Option C Geometric space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Answer:

Geometric Space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Answer:

The correct answer is "The ratio of language arts fans to science fans is 1:3. "

Step-by-step explanation:

The ratio is the amount of students with a favorite subject per (compare with) the amount of students that prefer other subject.

We are going to analyze every statement

Science fans are 21 (Earth Science  +Life Science ). This ratio is 21:7 or 3:1.

This ratio is 7:21,  we can divide this numbers so that is the same of 1:3

This ratio is 35:7

This ratio is 7:35 or 1:5

Answer:

b :) hope this doesn't help

Step-by-step explanation:

i mean its the right answer but maby the wrong question you were looking for like what happens to me i put in the questions it goes voo doo magic to brainly i open it and its the wrong  question i hate when it does that so then i have to copy and paste the question to put it on here just to find the wrong answer.

P(2 or H) = P(2) + P(H) - P(2 and H)  

What is the probability of getting a 2 P(2)?  = 1/6

What is the probability of getting heads P(H)?  = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)  

P(2 or H) = 1/6 + 1/2  - 1/12 = 7/12

Answer:

C

Step-by-step explanation:

Try to plug in the first pair of numbers to eliminate some equations, all but C fail to satisfy the equation. So C is the answer.

Answer:

Step-by-step explanation:

Notice that the table doesn't have an exponential behaviour. Because an exponential function has the point (0,1), because all powers with a null exponent are equal to 1.

Also, notice that the table doesn't show a linear relation, because y-variable has all values positive.

Therefore, the only relation that follows the values of the table is

[tex]y=2.5x^{2}[/tex]

Let's evalue each x-value

[tex]y=2.5(-2)^{2} =2.5(4)=10\\y=2.5(-1)^{2}=2.5(1)=2.5\\ y=2.5(0)^{2}=2.5(0)=0\\y=2.5(1)^{2}=2.5\\y=2.5(2)^{2}=10[/tex]

Therefore, the right answer is C. The given values show a quadratic relation.

A faster way to deduct the quadratic pattern is observing that y-values are symmetric no matter if x-values are positive or negative, that meanst he function is pair, or quadratic.

Answer:

log₁₀ (10¹²)

Step-by-step explanation:

First you should find the solution to the given equation

x-4=2³

x-4=8

x=8+4=12

Now observe the behavior of logarithmic equations with the base 10

log₁₀ 100=2

log₁₀ 10000=4

log₁₀ 1000000=6

To get the answer to

log₁₀ y=12

Then y=10¹².........................how?

check for the first case

log₁₀ 100=2 this can be written as

10²=100

This means to get y in log₁₀y=12  you should rise the base to power 12

y=10¹²

This is to say that

log₁₀ (10¹²) = 12

Answer:

Slope is 20

y-intercept is 50

Step-by-step explanation:

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept where x and y are the variables.

For your equation the slope is 20 and the y-intercept is 50 where m and y are variables.

The y-intercept is what you initially start with and here that is 50.   The slope is a rate.  So you are getting 20 dollars added per month.

Answer:

1500(1.02)^x  +   600x is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year.  12(50)=600.  

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

1500(1.02)^x  +   600x

Answer:

The tea's actual cost is $116.25

Step-by-step explanation:

* Lets revise how to find the z-score

- The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

* Lets solve the problem

- The average cost of a glass of iced tea is $1.25

- The standard deviation of it is 7 cents

- A new restaurant charges a price for iced tea that has a

 z-value of -1.25

* Lets change the average cost to cent

∵ $1 = 100 cents

∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents

∵ z = (x - μ)/σ

∵ z = -1.25

∵ μ = 125

∵ σ = 7

∴ -1.25 = (x - 125)/7 ⇒ multiply both sides by 7

∴ -8.75 = x - 125 ⇒ add 125 to both sides

∴ 116.25 = x

* The tea's actual cost is $116.25

Answer: It is actually 1.16$ (The guy below accidentally added an extra 1)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The Rational root theorem states that the possible roots ( zeros) of a polynomial are of the form

( plus or minus ) factors of the constant term divided by the factors of the leading coefficient.

For x³ - 3x² + 27x - 8

The factors of constant term (- 8) are ± 1, 2, 4, 8

The coefficient of the leading term x³ is 1

Hence possible zeros are

± ([tex]\frac{1,2,4,8}{1}[/tex]) = ± 1, ± 2, ± 4, ± 8 → D

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

Taking left hand side:

[tex]\frac{1+tan\ x}{sin\ x+cos\ x}\\=\frac{1+\frac{sin\ x}{cos\ x} }{sin\ x+cos\ x}\\=\frac{\frac{cos\ x+sin\ x}{cos\ x} }{sin\ x+cos\ x}\\=\frac{cos\ x+sin\ x}{cos\ x} * \frac{1}{sin\ x+cos\ x}\\=\frac{1}{cos\ x}[/tex]

1/cos x is equal to sec x.

So,

[tex]\frac{1}{cos\ x} = sec\ x[/tex]

Hence proved ..

Answer:

C

Step-by-step explanation:

85+92+78+93=348

348/4=87

Answer:

.the answer is 93

Step-by-step explanation:

85 + 92 + 78 + 93= 348

348/4= 87 average

Answer: k=−1,452

Step-by-step explanation:

k/22 x 22 = −66 x22

The value of 'k' can be determined by isolating 'k' in the equation. This results in k = 22 * -66, simplifying to k = -1452.

The equation conveyed in the question can be written as k/22 = -66. To find the variable k's value, we need to isolate k in the equation. This can be done by keeping the inverse operation on both sides of the equation balanced. Since k is currently divided by 22, we must multiply both sides of the equation by 22 to get k independently.

When we do this, the equation becomes k = 22 * -66. Then, solve for k by multiplying 22 and -66 together. So, k equals -1452.

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Answer:

(5x2)6=60

60

Step-by-step explanation:

Answer:

Let s stand for the amount of money saved.

[tex]2*5(6)=s[/tex]

He saved $60.

[tex]s=2*5(6)=10*6=60[/tex]

Answer:

A) 6x2-2x-10

B) 2m+1n-6

C) 170c-68

Step-by-step explanation:

4x2 + 2x2 = 6x2     5x -7x = -2x     -7 + -3 = -10

8m - 6m = 2m     -2n + 3n = 1n     -4 - 2 = -6

34 x 5c = 170     34 x -2 = -68

Answer:

Step-by-step explanation:

a) (4x2 + 5x - 7) + (2x2 - 7x - 3)

This is an addition question. We have to perform addition

The first step is open the parenthesis/brackets.

4x^2+5x-7 + 2x^2 -7x-3

Arrange the terms according to the exponents:

4x^2+2x^2-7x+5x-7-3

Combine the like terms:

6x^2-2x-10

Thus the answer is 6x^2-2x-10

b)  (8m - 2n - 4) - (6m - 3n + 2)

We have to perform subtraction:

There is a rule in the subtraction that when you open the brackets then the signs of 2nd bracket will be multiplied by the negative sign:

Open the brackets:

8m - 2n - 4 - 6m+3n-2

Arrange the terms:

8m-6m+3n-2n-4-2

Combine the like terms:

2m+n-6

Thus the answer is 2m+n-6

c) (30+4) (5c-2)

This expression shows the operation of multiplication:

Solve the first parenthesis.

(34)(5c-2)

Now multiply 34 by each term of 2nd bracket:

=170c-68

Thus the answer is 170c-68....

ANSWER

(Choice A)

-4(3e+4)

EXPLANATION

The given expression is

[tex] - 7 + 3( - 4e - 3)[/tex]

We expand to get:

[tex] - 7 - 12e - 9[/tex]

We regroup the terms to get:

[tex] - 12e - 9 - 7[/tex]

Simplify now to get:

[tex] - 12e - 16[/tex]

We now factor -4 to obtain:

[tex] - 4(3e + 4)[/tex]

The correct choice is A.

The expression simplifies to -16 - 12e. None of the given choices match this expression. Therefore, the correct answer is (C) None of the above.

To determine which expressions are equivalent to -7+3(-4e-3), let's simplify the given expression step-by-step:

Start by distributing the 3:

-7 + 3(-4e - 3) = -7 + (3 * -4e) + (3 * -3)

= -7 - 12e - 9

Now, combine the constants:

-7 - 12e - 9 = -16 - 12e

None of the provided choices are equivalent to -16 - 12e:

Answer:

remainder = 0

Step-by-step explanation:

Using the Remainder Theorem

Given f(x) divided by (x + h) then the remainder is found by evaluating f(- h)

Here the divisor is (x + 2), hence evaluate at h = - 2

Let f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 24, then

f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 24

        = 3(16) + 2(- 8) - 4 - 4 - 24

       = 48 - 16 - 4 - 4 - 24 = 0 ← Remainder

Remainder = 0 , hence (x + 2) is a factor of f(x)

Answer:

Step-by-step explanation:

[tex]\lim\limits_{x\to0}\dfrac{1+3x}{x}\\\\\lim\limits_{x\to0^+}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(+)}=\dfrac{1}{(+)}=+\infty\\\\\lim\limits_{x\to0^-}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(-)}=\dfrac{1}{(-)}=-\infty[/tex]

Answer:

See below.

Step-by-step explanation:

The two sided limit does not exist.

As x approaches 0 from negative values the limit is -∞.

As x approaches 0 from positive values the limit is ∞.

Answer:

this should be right if not comment and I'll relook it.

FOIL Method.

You will get the same answer x^2+ 7x- 18

Answer:

X²+7x-18

Step-by-step explanation:

=X(x+9)-2(x+9)

=X²+9x-2x-18

=x²+7x-18

Answer:

The inequality that represent the problem is [tex]80x+60y \geq 6,800[/tex]

The solution in the attached figure

Step-by-step explanation:

Let

x ----> the number of laptops sold

y ----> the number of smartphones sold

we know that

The inequality that represent the problem is equal to

[tex]80x+60y \geq 6,800[/tex]

The solution of the inequality is the shaded area

Remember that the number of laptops or the number of smartphones must be  a whole positive number

The graph in the attached figure

Answer:

the 2nd one isss x+y< 100

Step-by-step explanation:

the quote for usd/jpy is listed as 119.68/75 as shown. how many japanese yes does it cost to buy 1 U.S. dollar?

Answer:

the correct answer is 119.75

Answer:

the guy above is right

Step-by-step explanation: i took the test and it was

Answer:

TRUE

Step-by-step explanation:

An even function is a function that satisfies that f(x) = f(-x). Also, we know that cosine is an even function, therefore cos(theta) equals cos(-theta).