Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less used cars than twice the number of new cars. In the smae month, they serviced fifty more than twelve times the number of new cars sold. If the dealership either sold or services a total of 335 cars that month, how many new cars were sold that month? How many use? How many serviced?

Answer:

x=2

Step-by-step explanation:

To solve this, you must isolate x. To do this, divide both sides by 425 because that is what x is being multiplied by (and dividing is its opposite). Then, you get the answer, x=2.

ANSWER

[tex]x=\sqrt{3}-1[/tex] or [tex]x=-\sqrt{3}-1[/tex]

EXPLANATION

To complete the square for [tex]x^2+2x-2=0[/tex].

We rewrite the equation to get

[tex]x^2+2x=2[/tex].

We now add [tex](1)^2[/tex] to both sides to get

[tex]x^2+2x+1^2=2+1^2[/tex].

The expression on the Left Hand Side of the equation is a perfect square.

So our equation becomes

[tex](x+1)^2=2+1[/tex]

This gives us,

[tex](x+1)^2=3[/tex]

We take square root of both sides to obtain,

[tex]x+1=\pm \sqrt{3}[/tex]

[tex]x=-1\pm \sqrt{3}[/tex]

We split the [tex]\pm[/tex] to obtain,

[tex]x=\sqrt{3}-1[/tex]

or

[tex]x=-\sqrt{3}-1[/tex]

Answer:

x = √3 - 1 and x = -√3 - 1

Step-by-step explanation:

x^2  +2x - 2 = 0

To solve this equation, keep the variables on one side and constants on the other

x^2 + 2x = 2

Now to complete the square, divide the coefficient of x by 2:

2x ---> coefficient of x is 2

so 2/2 = 1

Now add the square of 1 to both the sides of the equation:

x^2 + 2x + (1)^2 = 2 + (1)^2

which makes it

(x + 1)^2 = 3

To solve it, take square root of both sides which gives

x = √3 - 1 and x = -√3 - 1

Answer:

The polynomial function [tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

To determine the multiplicity of 0, -2, -4, 5.

The multiplicity of a root is the number of times the root appears.

First find the root of the equation, set the function equals to zero.

[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]

therefore, the root of this function are, x=0,-2, -4, 5

To find the multiplicity of the roots:

A factor of x would have a root at x=0 with multiplicity of 1

similarly,  x=-2 with multiplicity of 3

x=-4 with multiplicity of 2

x=5 with multiplicity of 4.

Answer:

0 has multiplicity 1

−2 has multiplicity 3

−4 has multiplicity 2

5 has multiplicity 4

slope = - [tex]\frac{2}{3}[/tex]

calculate the slope m using the gradient formula

m= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-4}{-3-0}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]

answer: [tex]-\frac{2}{3}[/tex]

work:

subtract the y values over the x values to solve, you can use this formula:

[tex]\frac{y_{1} - y_{2}  } {x_{1} - x_{2}  }[/tex]

so, enter your values into the equation:

[tex]\frac{6}{-3} - \frac{4}{0}[/tex]

now, simplify.

[tex]\frac{2}{-3}[/tex]

so, the slope is [tex]-\frac{2}{3}[/tex].

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

I would say that the answer that best describes the distributive property is "a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value". Distributive property says that when you have a(b+c), you can add b and c together and then multiply by a or multiply b and c by a separately and then add them together after. It does not matter what order you choose to add and multiply in.

I hope this helps :)

Answer:

I would say you lifeGuarding

Step-by-step explanation:

Answer:

Its lifegaurding doing the quiz rn

Step-by-step explanation:

The number of full servings of bibimbap can you make is dividing the total cups of rice by cups of rice per serving.

You can make 6 whole servings remainder 1 cup of rice

Given:

Total cups of rice = 5 cups

Cups of rice per servings = 4/5 cup

Number of servings of bibimbap can you make = Total cups of rice ÷ Cups of rice per servings

= 5 cups ÷ 4/5 cup

= 5 × 5/4

= (5 × 5) / 4

= 25 /4

= 6 whole servings remainder 1 cup of rice

Therefore, you can make 6 whole servings remainder 1 cup of rice

Read more:

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The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.

It's asking "what number can we add to both sides of this equation so that we isolate x?"

Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)

So we really have this equation: x+20 = 25

We can add -20 to both sides to cancel out the +20 on the left side

x+20 = 25

x+20+(-20) = 25+(-20) ...... add -20 to both sides

x = 5

This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25

f(5) = 4(5) - 11

f(5) = 20 - 11

f(5) = 9

The answer is 9 :)

Please give BRAINIEST :)

Thanks

By assigning the value of X to the function, we have:

f( x ) = 4 x - 11

f ( 5 ) = 4 * 5 - 11

f ( 5 ) = 20 - 11

f(5 ) =  9

therefore f ( 5 ) = 9

For this case we have:

The division given by:

102 ÷ 3 = 34

To verify its result we use multiplication as a reverse operation, that is:

We multiply the quotient by the divisor and its result must be the dividend.

So:

[tex](34) (3) = 102\\[/tex]

Answer:

Multiplication, [tex](34) (3) = 102[/tex]

Determine the slope - down 1, right 3. This is -1/3.

Determine the y-intercept. Up 3 from the origin.

Use this information to form an equation:

[tex]y = -1/3x + 3[/tex]

Answer:

Insert a number into the x,

the middle column, you just substitute,

and the last column, you enter what x and y is.

Step-by-step explanation:

For example,

if x was 5, I would write 5 under the column,

under the y=2x+5 column, you would write y=2*5+5,

and under the last column you would write (5, 15)

Final answer:

The domain of the function f(x)=5ˣ-3+1 is all real numbers (-∞, +∞), and the range is all real numbers greater than -2 (-2, +∞).

Explanation:

For the given function f(x) = 5ˣ - 3 + 1, the domain and range can be determined by understanding the behavior of the function's formula. The domain refers to all possible x-values that can be input into the function, and the range refers to all possible y-values that the function can output.

The domain of any exponential function like 5ˣ is all real numbers because you can raise 5 to any power, whether it's positive, negative, or zero. Therefore, the domain of f(x) is (-∞, +∞).

To find the range of the function, we look at the output values. Since exponential functions grow without bound as x increases and approach zero as x decreases (but never actually reaches zero), 5^x will do the same. When we subtract 3 and then add 1, we're simply moving the graph down by 2 units. Thus, where the original function 5ˣ would never be less than 0, after the transformation, the function will never be less than -2. So, the range of f(x) is (-2, +∞).

[tex]2\pi\approx6.28\\.38=0.38\\\\2\pi >.38[/tex]

75+65w≥635

This is the inequality because you already saved 75 so you just add it to the amount you save after a certain amount of weeks. It needs to be more than 635 for the the trip.

Fifty Cent = 50 cents

Quarter = 25 cents

Dime = 10 cents

Nickel = 5 cents

__________________________________________________________________

15 Fifty Cent coins = 7.50 dollars

19 Quarters = 4.75 dollars

24 Dimes = 2.40 dollars

36 Nickels = 1.80 dollars

__________________________________________________________________

Total: $16.45

Hope that helps!

Here we are given the formula for compound interest as :

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Here

A= Amount

P=Principal

r=rate of interest

n=number of times interest is compounded per year

t=time(years)

So we are given

P= $400

r=4% or 0.04

t= 11 years

n= 12

Plugging these values in the formula for compound interest we have,

[tex]A=400(1+\frac{0.04}{12})^{12*11}[/tex]

A= $620.6286

Amount = $620.6

Answer: The final amount after 11 years will be $620.6 .

To find the value of $400 invested at 4% interest compounded monthly for 11 years, use the compound interest formula A(t) = P(1 + r/n)^(nt) and solve for A(t). After calculations, the amount comes to approximately $660.44 when rounded to the nearest cent.

To calculate the future value of $400 invested at 4% interest compounded monthly over 11 years, we can use the compound interest formula provided: A(t) = P(1 + r/n)^(nt). In this formula, P represents the principal amount ($400), r is the annual interest rate (0.04), n is the number of times interest is compounded per year (12 for monthly compounding), t is the number of years the money is invested (11 years), and A(t) is the amount of money accumulated after t years, including interest.

Using the formula:

The calculation is as follows:

A(t) = $400(1 + 0.003333...)¹³²

A(t) = $400(1.003333...)¹³²

A(t) = $400(1.6511)

A(t) = $660.44

After rounding to the nearest cent, $400 invested at 4% interest compounded monthly for 11 years would be worth approximately $660.44.

A. 0.370

B. 0.44

C. 0.1

D. 2.75

Answer: a) 0.370 b) 0.440 c) 0.1 d) 2.75

Step-by-step explanation:

Since we have given that

a. 0.370, 0.307, 0.037, 0.3007

First we write it in the ascending order :

0.037<0.3007<0.307<0.370

So, the largest decimal = 0.370

b. 0.404, 0.044, 0.44

We write it in ascending order :

0.044<0.404<0.440

So, the largest decimal = 0.440

c. 0.05, 0.049, 0.009, 0.1

Ascending order :

0.009<0.049<0.05<0.1

So, the largest decimal = 0.1

d. 2.7, 2.5, 2.75

Ascending order :

2.5<2.7<2.75

So, the largest decimal = 2.75

x=10 hope this helps

answer:  [tex]x = -10[/tex]

work:

[tex]-57=-6x+3[/tex]  | subtract 3 and move it over to the 53, and solve.

[tex]-60 = 6x[/tex]  | divide by 6 to -60, and solve.

[tex]-10 = x[/tex]  | final answer.

hope this helps! ❤ from peachimin

[tex]a=\dfrac{2d}{t^2}\ \ \ \ \ |\text{solve for t} \\ \\\\\dfrac{2d}{t^2}=\dfrac{a}{1}\ \ \ \ \ |\text{cross multiply}\\\\at^2=2d\ \ \ \ \ |:a\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}\\\\\text{We have}\\ \\a=2\dfrac{m}{s^2},\ d=10m\\\\\text{substitute}\\\\t=\sqrt{\dfrac{2\cdot10m}{2\frac{m}{s^2}}}=\sqrt{10m\cdot\dfrac{s^2}{m}}=\sqrt{10s^2}=\sqrt{10}\ s\\\\Answer:\ C.\ \sqrt{10}\ seconds[/tex]

In this flowchart proof, we utilised the Corresponding Angles Postulate to conclude that line c is parallel to line d. Given that line a is parallel to line b, and angle 7 is congruent to angle 10, we can say that corresponding angles on line c and line d are also congruent, hence proving line c is parallel to line d.

For this flowchart proof, we will use the idea of corresponding angles and the postulate that if a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.

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#SPJ12

it is true!!!! hope this helps

Answer:

Step-by-step explanation:

9 *10= 90 feet

90+ 46= 136 square feet

The product of the functions f(x) and g(x), (f • g)(x), is found by multiplying the two functions together. The resulting function is 2x^3 + 5x^2 - x - 6.

The question is asking for the product of functions f(x) and g(x), denoted as (f • g)(x). To find (f • g)(x), we simply have to multiply function f(x), which is 2x^2 + x - 3, and function g(x), which is x + 2, together.

Let's do it: (2x^2 + x - 3) * (x + 2). Multiplying these two functions out, we get: 2x^3 + 4x^2 + x^2 + 2x - 3x - 6. Simplifying these, we arrive at 2x^3 + 5x^2 - x - 6.

So, (f • g)(x) = 2x^3 + 5x^2 - x - 6.

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#SPJ3

It would be 4(12 + 6). The answer to this is 7.

Hope that helps :)

Equals to 54...

Hope this helps....