two hundred and fifty six x^4 minus one thousand two hundred and ninety six y^4

The true statement is option A, They show that the equation represents the same line.

Given,

Two equations:

Equation A : 4y - 3x = 4

Equation B : -2x - 8y = 8

These lines intersect at a single point (-2, -0.5)

We have to find the true statement which satisfies the values x as -2 and y as -0.5.

Lets check

x = -2

y = - 0.5

Equation A:

4y - 3x = 4

4 × (-0.5) - 3 × (-2)

= -2 - (-6)

=  - 2 + 6

= 4

Here, the values satisfies Equation A.

Now,

Equation B:

-2x - 8y = 8

= - 2 × (-2) - 8 × (-0.5)

= 4 + 4

= 8

Here also, the values satisfies the Equation B.

So, the true statement will be,

Option A, They show that the equation represents the same line.

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Answer:

7x + 12

Step-by-step explanation:

(10x - 3x)     + 12

     7x      + 12

Answer:

$15

Step-by-step explanation:

25÷100×40=10

25-10=15

Answer:

Discount is 40 % so Mohamad will pay 60%

25x 60/100

=1 x 60/4

=60/4

=15

60% of $25 is= $15

Mohamad pays $15

PLSS MARK AS BRAINLIEST

Answer:

22/33,2/3 and 6/9=0.66666666666666666 or 0.6(bar) as asked in question

3/5 is equal to 0.6 not 0.66666666

Pls mark as brainliest

Answer: 3x + 6 = 2x - 12

Step-by-step explanation: So, the answer to what x is:- is

3x + 6 = 2x - 12

3x - 2x = -12 - 6

x = - 18

Answer:

The correct equation is 2x + 6 = 24.

Answer:

how i understand this is:

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by

100    

=125%?

(correct me if am wrong)

Answer:

Step-by-step explanation:

so if this = that then this = x plus five 5 into 9

is

6 9 420 = 69x so pls go away 4848]

568393=334-0i34-0 o

Answer:

x=18

Step-by-step explanation:

multiply both sides of the equation by 6/5

simplify

yw

Answer:

Step-by-step explanation:

1)  p - m = n

     p = n + m

p - n = m

p - m = n  ;  p = n + m and p - n = m represents same relationship.

2)

[tex]\sf p =\dfrac{n}{m} \ ; \ m =\dfrac{n}{p} \ and \ pm = n \ represents \ same \ relationship.[/tex]

3)

[tex]\sf \dfrac{m}{p}= n \ ; \dfrac{m}{n}=p \ ; \ and \ pn = m \ represents \ same \ relationship.[/tex]

Answer:

15601 OR 1+100(55+100)+100

Step-by-step explanation:

A=1

B=25

C = 100

D = 55

E = +

F = -

G =()

AECGDECGEC

1+100(55+100)+100

1+100(155)+100

1+15500+100

15601

Answer:

He owes $33556.08 worth of self employment tax.

Explanation:

consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.

in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.

Answer:

[tex]3x^2 - 10x -5[/tex]

Step-by-step explanation:

[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]

Answer:

[tex]g(f(x))=3x^2-10x-5[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]

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Answer:

Step-by-step explanation:

When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].

The expression for the product of 2 and the difference of a number and 5 is 2x - 10

An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants

These expressions also known to be made up of various mathematical or arithmetic operations, such as;

From the information given, we have;

The product of 2 and the difference of a number and 5.

Let the number be x

This can be represented thus;

2(x- 5)

expand the bracket, we have;

2x - 10

Hence, the expression is 2x - 10

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Complete question:

Write the expression for

The number of seconds that the magician hold his breath when he first tried is 90 seconds.

With the new technique, he can hold his breath for 144 seconds and that is 60 percent more than he was able to do when he first tried.

Let the number of seconds for the first try be represented by x. Therefore, based on the information, this will be illustrated as:

= x + (60% × x) = 144

x + 0.6x = 144

1.6x = 144

Divide

x = 144 / 1.6

x = 90

Therefore, the first try is 90 seconds.

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Step-by-step explanation:

I hope it will be helpful for you.

Step-by-step explanation:

hope this helps:)

Answer: x+-3

Step-by-step explanation: So you can make the number a variable so I put x and you add -3 so your answer would be x+-3

Hope this helped!!!!

Answer:

30/75 = 2/5 or 2:5

Hope this helps!!!

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

[tex]6n-6=-9n+54[/tex]

Shifting the like terms:

[tex]6n+9n=54+6[/tex]

Simplify the equation:

[tex]15n=60[/tex]

Solve for n:

[tex]n=\frac{60}{15}[/tex]

The final answer is:

[tex]n=4[/tex]

The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)

The point slope equation can be represented as follows:

y - y₁ = m(x - x₁)

where

The line passes through (1, 0) and (6, -3).

Therefore, the point slope equation can be represented as follows:

m = y₂ - y₁ / x₂ - x₁

Hence,

m = -3 - 0 / 6 - 1

m = -3 / 5

m  = - 3 / 5

Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)

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Answer:

[tex]\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}[/tex]

[tex]\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}[/tex]

Step-by-step explanation:

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a negative leading coefficient, the parabola opens downwards.   Therefore, the interval on which y > 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is positive is:

The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a positive leading coefficient, the parabola opens upwards.   Therefore, the interval on which y < 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is negative is:

The answer in hours is 8.91 hours.

Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.

Given: 8 hours 20 minutes and 36 seconds

20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours

because as mentioned above 1 hour = 60 min

and 36 seconds in hours can be written as 36/ 60X60  = 1/ 100 hours or 0.01 hours .

because 1 min = 60 seconds and 1 hour = 60 min

thus 1 hour = 60 X 60 seconds

Thus the final answer is 8+0.9+0.01 hours = 8.91 hours

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Step-by-step explanation:

a. f(x) = 6x+5 and g(x) = x--5/6

f(g(x)) = 6x + 5

Now, let x = g(x) (remember f(x) = 6x+5 so we got the x from f(x))

f(g(x)) = 6(x--5/6) + 5

Open bracket

f(g(x)) = 6(x -- 5/6) + 5

f(g(x)) = x -- 5 + 5

f(g(x) = x

b. g(f(x) = x--5/6

g(f(x) = (6x+5) -- 5/6

g(f(x)) = 6x + 5 -- 5/6

g(f(x)) = 6x/6

g(f(x)) = x...

To check for inverse

1/g(f(x) = 1/x

1/f(g(x) = 1/x

Meaning 1/f(g(x) = 1/g(f(x) inverse of each other

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Answer:

54.6

Step-by-step explanation:

Answer:

54.6

Step-by-step explanation:

Multiply 4.55 by 12 to get 54.6.

Then divide it by 12 to get 4.55

Answer:

2. NP is the longest side

Step-by-step explanation:

I assume the messages of N and A are degrees if the angles there.

angle A = 70°

angle N = 45°

that means

angle P = 180 - 70 - 45 = 65°

because the sum of all angles in a triangle is always 180°.

and that means A is the largest angle, and its opposite side is therefore the longest in the triangle.

the side opposite of A is NP.

[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.

If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.

Remember that a2 + b2 = c2.

[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .

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Answer:

All of them

Step-by-step explanation:

The ratios equivalent to 6:8 would be:

21:28

9:12

36:48

All of these answer choices would be correct because they are all multiples of 6

There are 200 fishes estimated.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

captures 20 fish out of a small lake behind his college.

Now,

He again catches 20 fishes out of which 2 have markers

let the estimated fish are x.

So,

2/ 20 = 20 /x

20 x 20 = 2x

400 = 2x

x= 400/ 2

x= 200

Hence, there are 200 fishes estimated.

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