You rent an apartment that costs \$1200$1200 per month during the first year, but the rent is set to go up \$70 $70 per year. What would be the monthly rent during the 6th year of living in the apartment?

Answer:

k = 12

Step-by-step explanation:

Given:

The equation [tex]Q(x)=2x^2-kx+18[/tex]

To find:

Value of [tex]k = ?[/tex] for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: [tex]ax^{2} +bx+c=0[/tex] to have one distinct solution:

[tex]b^2 - 4ac = 0[/tex]

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

[tex](-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12[/tex]

The equation becomes:

[tex]Q(x)=2x^2-12x+18[/tex]

And the one root is:

[tex]2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3[/tex]

Step-by-step explanation:

A = 6(90-A)-43 Simplify and solve for A.

A = 540-6A-43

A = 497-6A Add 6A to both sides.

7A = 497 Divide both sides by 7.

A = 71 degrees

The complement of A = 90-A = 09-71 = 19

Hope this help :)

Answer:

the square root of 121 is 11

Answer:

ya

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

2 1/2 is the same as 5/2

               (2*2 = 4 +1 = 5, so the mixed number 2 1/2 turns into 5/2)

so 5/2 * 5 = 5/2 * 5/1 = 25/2 = 12.5

Answer: $65.45

Step-by-step explanation:

Cost of Snorkle = $11.00

Cost of goggles = $30.00

Cost for flippered = $36.00

Total cost = $11.00 + $30.00 + $36.00 = $77.00

Since there's a 15% off, the cost of the bundle will be:

= $77 - (15% × $77)

= $77 - (0.15 × $77)

= $77 - $11.55

= $65.45

the answer is the second one

Step-by-step explanation:

y=mx+c where m is the gradient or slope and c is the y intercept I think this is right

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

While dealing with laws of exponents, exponents should be subtracted when splitting exponential formulas with the same base.

Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.

Exponents are added when two powers of the same base are multiplied. Therefore, the exponents are subtracted when two powers of the same base are divided. To put it another way, abac=ab + c is true for all real numbers a, b, and c.

It is so established that any integer or phrase raised to the power of zero always equals 1. To put it another way, the outcome is 1 if the exponent is 0. A 0 = 1 and (a/b) 0 = 1 create the general version of the zero exponent rule.

Learn more about Exponents here:

brainly.com/question/11975096

#SPJ9

Value of   g(ƒ (0)) =18 .

Definitions of f(x) and g(x) -

Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.

The composition (g ° f)(x) means "evaluate f at x, then evaluate g at the result f(x)". The product (g*f)(x) means "evaluate g and f at x and multiply the results".

An algebraic function is a function that involves only algebraic operations. These operations include addition, subtraction, multiplication, division, and exponentiation.

given

f(x) = 3x²+x-6

g(x) = -4x - 3

find the value of g(ƒ (0))

g(ƒ (0)) = ?

g( f(x) ) = 3 ( f(x) )² +( f(x) )−6

Now, replace every  f(x) on the right side with the function you entered in for  f(x)  :

g(f(x)) = 3( f(x) )² +( f(x) )−6

⇓

g(f(x)) = 3( −4x−3 )² +( −4x−3 )−6

Simplify the expression.

g(f(x)) = 3(−4x−3)² +(−4x−3)−6

          = 3(−4x−3)² − 4x−9

So, g(f(x))=3(−4x−3)² −4x−9.

g(ƒ (0)) = 3(−4× 0 −3)² −4× 0−9

g(ƒ (0)) = 3(−3)² −9

g(ƒ (0)) = 3 × 9 −9

g(ƒ (0)) = 27 − 9

g(ƒ (0)) =18 .

Hence, by using the definitions of f(x) and g(x) the value of g(ƒ (0)) =18.

To learn more about Function Composition

visit - https://brainly.com/question/8308119

#SPJ9

Answer:

1/2 = 2/4

Step-by-step explanation:

Answer:

which language it is ?i can't understand it

Step-by-step explanation:

please ask in english language

By using the translation formula, the image point of (- 1, - 3) is equal to the point (2, 1).

In this problem we find the coordinates of a point, whose image must be found by using a translation, a kind of rigid transformation. The formula for the determination of the coordinates of the image is introduced below:

P'(x, y) = P(x, y) + T(x, y)                 (1)

Where:

If we know that P(x, y) = (- 1, - 3) and T(x, y) = (3, 4), then the coordinates of the resulting point according to the transformation rule are:

P'(x, y) = (- 1, - 3) + (3, 4)

P'(x, y) = (2, 1)

The image point of (- 1, - 3) is equal to the point (2, 1).

To learn more on rigid transformations: https://brainly.com/question/1761538

#SPJ1

Answer: x = 40

Step-by-step explanation:

    104 + 2x -4 = 180

104 - 4 + 2x  = 180

100 + 2x = 180

2x = 180 -100

2x = 80

x = 80/2

x = 40

Answer:

6x^2 + 29x + 35

Step-by-step explanation:

(2x+5)(3x+7)

multiply 2x with 3x and 7

multiply 5 with 3x and 7

simplify

6x^2 + 14x + 15x + 35

= 6x^2 + 29x + 35

Answer:

It's the last choice.

Step-by-step explanation:

Convert them to decimal form:-

7 1/3 = 7.333....

221/30 = 7.36666......

⁻⁻⁻⁻⁻

7.36 = 7.36363636,,,

2.4√(3π) = 7.367952297

So, from greatest to least they are:

                               ___

2.4√(3π), 221/30, 7.36,  7 1/3.  

Answer:

-x+7

Step-by-step explanation:

y-5= -1(x-2)

y-5= -1x+2

+5        +5

y= -x+7

Answer:

its c

Step-by-step explanation:

why do I need to explain

3 number of roots exist for the polynomial function.

Step-by-step explanation:

As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.

We can also prove it. Assume there is a polynomial

(x+2)(x+3) =0

Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.

From the given condition,

(9x + 7)(4x + 1)(3x + 4)

we know that the degree of the polynomial is 3 because after expansion it becomes,

108x^3 + 255 x^2 +169x + 28 =0

Since, highest power of the variable is 3. Its degree is 3.

Therefore, possible number of roots that exist for the polynomial function are 3.

You can learn more about number of roots of polynomials from
https://brainly.com/question/10702726
#SPJ4

Answer:

The value of x=17.

Step-by-step explanation:

3(x-1) = 4(x-5)

=3x-3=4x-20

Subtract both sides by 4x.

=3x-3-4x=4x-20-4x

= −x−3=−20

Add 3 to both sides.

=−x−3+3=−20+3

−x=−17

Divide both sides by -1.

−x/-1=−17/-1

x=17

Answer:

-8 and 5

Step-by-step explanation:

Answer:

3p = 1/2

Step-by-step explanation:

I hope this helps!

Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

Answer:

Roy speed is greater

Hope this helps

Answer:

Roy

Step-by-step explanation:

(3/4)/5 = 0.15 so Jared cycles 0.15 miles per minute

2 / 13 = 0.15384... so Roy cycles about 0.154 miles per minute

Roy cycles faster

Answer:

Step-by-step explanation:

You will have less possible solution y is less than or y is greater than so everything touching the line will not be a solution just everything else.

Answer: The answer is <5>

Step-by-step explanation:

Solution Steps

−5×2÷−2

Cancel out −2 and −2.

−5(−1)

Multiply −5 and −1 to get 5.

5

I hope this helps!

Answer:

c. 5/6 = [ g(7) − g(4) ] / (7 − 4)

Step-by-step explanation: