The intercepts of the line Y=-2x-21

Answer:

Jackie is 32

Step-by-step explanation:

48 / 3 = 16

16 * 2 = 32

32 years old

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

(b)

Step-by-step explanation:

a=1,500,000

b=3,050,000

Receiving $50,000 initially and $100,000 per day for the next 30 days, would result in the greatest payday at the end of the first month of employment, with a total amount of $3,050,000

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To determine which option would result in the greatest payday at the end of the first month of employment, let's calculate the total amount for each option:

a)

Lump sum of $1,500,000

The total amount is $1,500,000.

b)

$50,000 initially and $100,000 perday for the next 30 days

The total amount is $50,000 (initial) + $100,000/day * 30 days

T = $50,000 + $3,000,000

On simplifying the equation , we get

T = $3,050,000

Hence , receiving $50,000 initially and $100,000 per day for the next 30 days would result in greater payday

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Answer:

Radius = 25.5 units

Diameter = 51 units

Step-by-step explanation:

r = radius of circle

d = Diameter of circle

  = \(2r\)

Circumference of circle = \(2\pi r\)

Substitute the provided value of the circumference:

                               \(51\pi = 2\pi r\)

r is to be isolated and made the subject of the formula:

                                 \(r = \frac{51\pi}{2\pi}\)

\(\pi\) in the numerator and denominator cancel each other outcompletely:

                                 \(r = \frac{51}{2}\)

                          ∴r = radius of circle = 25.5 units

This also means that:

\(d = 2r\)

\(d = 2(25.5)\)

∴d = Diameter of the circle = 51 units

Answer:

y=3(x-9)^2+4

Step-by-step explanation:

To move a parabola horizontally to the right, subtract 9.

To move it upward 4 units, you simply have to add 4.

These do not change the characteristics of the shape. I suggest looking at a set of rules that affect how the parabola moves horizontally and vertically.

Answer:

2x^7 - 2x + 2

Step-by-step explanation:

Answer: 2x^7-2x+2

Step-by-step explanation:

Find the sum of the combinable terms

3x^7 - x^7 = 2x^7

Since there is no other term for -2x to be combined with, it remains the same.

5 - 3 = 2

Take the individual sums and combine them into one polynomial

2x^7 - 2x + 2

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Answer:

\(f^{-1}(x)=\frac{\ln(x+4)}{2}\)

Step-by-step explanation:

\(y=e^{2x}-4\\\\x=e^{2y}-4\\x+4=e^{2y}\\\ln(x+4)=2y\\\frac{\ln(x+4)}{2}=y\\\\f^{-1}(x)=\frac{\ln(x+4)}{2}\)

Just swap x and y in the original function, and then solve for y to get the inverse function.

Answer:

proper I believe if I'm wrong sorry

Answer:

Hi!

Step-by-step explanation:

1234567890987654211234567890......

Step-by-step explanation:

12345678890098764321

1) Given this equation for Pressure, we need to plug into p the pressure of 318 lbs/ft² to get the depth according to the model described by this equation.

2) So, we can write out:

Note that we multiplied both sides by 11 to get rid of the fraction.

Thus this is the depth below the surface that generates such pressure

The smallest positive integer n such that t \($\sqrt[4]{56 \cdot n}$\)  is an integer is 686.

We have to find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer

To find the smallest positive integer n such that  \($\sqrt[4]{56 \cdot n}$\)   is an integer, we need to determine the factors of 56 and find the smallest value of n that, when multiplied by 56, results in a perfect fourth power.

The prime factorization of 56 is:

56 = 2³ × 7

The prime factors of 56 need to be raised to multiples of 4.

Therefore, we need to determine the smallest value of n that includes additional factors of 2 and 7.

To make the expression a perfect fourth power, we need to raise 2 and 7 to the power of 4, which is 2⁴ × 7⁴

The smallest value of n that satisfies this condition is:

n = 2 × 7³ = 2× 343 = 686

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The linear equation that respects the given conditions is:

\(y = \frac{3}{2}x + \)

A linear function is modeled by:

y = mx + b

In which:

When two lines are perpendicular, the multiplication of their slopes is of -1. Hence, considering it is perpendicular to 2x + 3y = 4.

\(2x + 3y = 4\)

\(3y = -2x + 4\)

\(y = -\frac{2x}{3} + \frac{4}{3}\)

Then:

\(-\frac{2}{3}m = -1\)

\(m = \frac{3}{2}\)

Hence:

\(y = \frac{3}{2}x + b\)

It passes through (−2, 15), that is, when x = -2, y = 15, hence:

\(y = \frac{3}{2}x + b\)

\(15 = \frac{3}{2}(-2) + b\)

15 = -3 + b

b = 18.

So the equation is:

\(y = \frac{3}{2}x + \)

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Answer:

zero

Step-by-step explanation:

This flat horizontal line is Y=1 has a slope (rate of change) of zero.

Answer:

B

Step-by-step explanation:

x^2 - 12 x - 5 = 7

then

(x^2 - 2•6x + 6^2 ) - 5 = 7 + 6^2

( x-6 )^2 = 7+36 + 5 = 48

THEN answer is

Option B) (x-6)^2 = 48

Total amount given by father = $500

He gave an amount of $x to his first son

then father will left with $500- $x amount

So, He will pay an amount of (500-x) to his other son

Answer : d) 500 - x

Answer:

The slope of the line is m=29≈0.222222222222222.

The y-intercept is (0,4).

The equation of the line in the slope-intercept form is y=4+2x9≈4.0+0.222222222222222x.

Step-by-step explanation:

Hope this helps.

Answer:

2/9

Step-by-step explanation:

First you add 40 +10=50 then you multiply 50 x 20=1000/100 which equals 10 then you subtract 10-50= 40 the final price is $40

Step-by-step explanation:

Answer:

Part A-4.6 miles.

Part B-2.1

Step-by-step explanation:

1.7^2 + 4.3^2 = c

c=4.6

Part A) The length of a straight line between the school and the Fire Station is  4.6

Part B) The length of a straight line between the school and the hospital is 2.1

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Dividing 4x³ + x² - 27x + 18 by 4x - 3 will result to a quotient of x² + x - 6 and a remainder of 0

The long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder.

We shall divide the 4x³ + x² - 27x + 18 by 4x - 3 as follows;

4x³ divided by 4x equals x²

4x - 3 multiplied by x² equals 4x³ - 3x²

subtract 4x³ - 3x² from 4x³ + x² - 27x + 18 will result to 4x² - 27x + 18

4x² divided by 4x equals x

4x - 3 multiplied by x equals 4x² - 3x

subtract 4x² - 3x from 4x² - 27x + 18 will result to - 24x + 18

-24x divided by 4x equals -6

4x - 3 multiplied by -6 equals - 24x + 18

subtract - 24x + 18 from - 24x + 18 will result to a remainder of 0

Therefore by the long division method, 4x³ + x² - 27x + 18 by 4x - 3 gives a quotient x² + x - 6 and a remainder of 0.

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Based on the annuity payment that Marie will make and the number of years, the nt value that she will use in her formula is 360 months.

The nt value is the number of periods that Marie will need to pay her annuity payment. This value can be yearly, monthly, weekly and even daily.

As the mortgage compounds monthly in this instance, the nt value will need to be monthly as well.

To find the nt value, the formula is:
= Number of years x number of compounding periods per year

= 30 x 12 times a year

= 360 months

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Answer:

360

Step-by-step explanation:

i did that and i got it right

Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

Answer:

we need the full question to answer

The given statement "a divide of the collection of integers is the positive integer set and the negative integer set" is FALSE.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

The inverse additives of the equivalent positive numbers are the negative numbers.

The Z symbol is a common way for mathematicians to refer to an integer set.

The set of integers is not divided into the set of positive integers and the set of negative integers.

The lowest group and ring of the natural numbers are formed by the integers.

To distinguish them from the more generic algebraic integers, the integers in algebraic number theory are occasionally designated as rational integers.

In actuality, (rational) integers are rational numbers that are also algebraic integers.

Therefore, the given statement "a divide of the collection of integers is the positive integer set and the negative integer set" is FALSE.

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The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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