If the total price for two cars at a dealership is $98,000​, where one car’s price is $13,000​ less than twice the other, what is the price of the cheaper vehicle?

Answer:

[tex](f \cdot g)(x)=18x^3+15x^2[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=6x^2+5x \\ g(x)=3x\end{cases}[/tex]

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

The composite function (f · g)(x) means to multiply function f(x) by function g(x):

[tex]\begin{aligned}\implies(f \cdot g)(x) & = f(x) \cdot g(x)\\& = (6x^2+5x)(3x)\\& = 6x^2 \cdot 3x+5x\cdot 3x\\& = 18x^3+15x^2\end{aligned}[/tex]

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The transformation in reflection is that triangle may have identical aspect lengths and perspective measure.

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Answer:

b

Step-by-step explanation:

The actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.

Let the actual length of the pool be x m.

According to the given question.

Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters.

⇒ The scale is 7cm : 3m.

Also, the length of the pool in the drawing is 105cm.

Therefore, the actual length of the swimming pool is given by

7cm : 3m  = 105cm : x          (by proportion fromula)

⇒ 7x = 105

⇒ x = 15m

Hence, the actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.

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The probability is  [tex]\frac{1}{2}[/tex].

To solve this problem we need to recognize the idea of probability.

To calculate the probability we need to divide the desired final results with the aid of the overall number of consequences.

here, it is asked to locate the chance of having all even numbers earlier than getting an strange variety.

We know that the whole number of results when we roll a dice is 6.

We realize there are three odds and three even in the cube. So, the required

probability of getting even = [tex]\frac{3}{6}[/tex]

                                             = [tex]\frac{1}{2}[/tex]

The required probability is equals to [tex]\frac{1}{2}[/tex].

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Answer: 3/7

Step-by-step explanation:

You would divide this by the number 8.

8*3 = 24

8*7 = 56

Therefore the answer is 3/7

Hey there!

24/56

= 24 ÷ 8 / 56 ÷ 8

= 3/7

Therefore, your answer should be:

3/7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The LCM of 34 using prime factorisation method is 2 and 17

hello! please read the instructions in the picture :)))

made just for you <3

Answer:

x =52

Step-by-step explanation:

The angles shown are same side interior angles, and when the lines are parallel, same side interior angles add to 180 degrees

< 1 + <2 = 180

x+23    + x+53   = 180

Combine like terms

2x+ 76 = 180

Subtract 76 from each side

2x+76-76 = 180 -76

2x = 104

Divide by 2

2x/2 = 104/2

x =52

Answer:

x = 52

Step-by-step explanation:

Angle 1 and angle 2 are on the same side, and on the inside of the interior. This means that when added together they = 180

We can set up an equation

x+23+x+53 = 180

Simplify: 2x + 76 = 180

Subtract 76 from both sides

2x = 104

Now divide by 2

x = 52

The ending number is related to the starting number by n + 9.

To start with this magic number puzzle, let us take a positive number and a negative number. After that we have to perform some simple mathematical operations,

Taking positive number as 10 and negative number as -8.

Now, performing the mathematical operations as described in the next steps.

First starting with positive number which is 10.

Step-1. Add 10

So, 10+10 = 20

Step-2. Multiply by 2

So, 20×2 = 40

Step-3. Subtract 2,

So, 40 - 2 = 38

Step-4. Divide by 2,

So, 38/2= 19

Number chosen in the starting was 10 and at the end it became 19. The number 9 got added to 10.

Now, performing the steps on our negative number which is -8,

Step-1. Add 10

So, 10-8=2

Step-2. Multiply by 2

So, 2×2 = 4

Step-3. Subtract 2

So, 4-2 = 2

Step-4. Divide by 2

So, 2/2 = 1.

Number chosen in the starting was -8 and after performing the steps it became 1.

Now, for any number 'n',

Step-1. Adding 10

So, n+10

Step-2. Multiply by 2

So, 2(n-10) = 2n+20

Step-3. Subtract 2

So, 2n+20-2 = 2n+18

Step-4. Divide by 2.

So, (2n+18)/2 = n+9

The number taken in the starting was n and now it became n+9.

So the ending number becomes 9 times more in the end then the starting number.

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The speed of the plane and wind in km/hr is 187.5 and 37.5 respectively.

A linear equation has highest degree of 1.

According to the given question a small plane flies for 3 hours to an airport 450 kilo meters away against a strong headwind. the plane then returns to its starting location flying with the wind, taking 2 hours.

Form these we can form two linear equations in two variables.

Assuming speed of the plane to be x km/hr and speed of wind to be y km/hr.

We know Distance = speed × time.

3( x - y) = 450. and 2( x + y) = 450.

3x - 3y = 450...(i) and 2x + 2y = 450...(ii)

multiplying eqn (i) by 2 and eqn (ii) by 3 and solving we get

x = 187.5 km/hr and y = 37.5 km/hr.

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Answer:

Salena is incorrect. I would advise her to try reversing the question to check her work. Please see below to check it.

Step-by-step explanation:

38 ÷ 5 = 7

Try reversing to check.

7*5=35

38 divided by 5 does not equal to 7.

Hope this helps!

Please mark as brainliest if correct!

the probability is pinapple 53/58

lemon 2/58

watermelon 3/58

The given values are

A pineapple chew was selected 53 Times

A lemon chew was selected 2 times

A watermelon chew was selected 3 times

The probability that you Bella remove from the bag is pineapple chew.

Probability is which we can't predict actual it is usually about the prediction

As we know

Probability - expected outcome/total outcome

The question Bela perform experiment 58 times then the total outcome will be 58 if you pineapple was selected 53 times the probability of the chew Bella pick of pineapple is 53/58

The probability of Bella pick chew of lemon -2/58

The probability of Bella pick watermelon is - 3/58

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The pair of angles from the given options that are a pair of alternate exterior angles is:

C. ∠2 and ∠8

What are Alternate Exterior Angles?

Alternate exterior angles are pairs of exterior angles that lie alternate to each other along a transversal that cuts across two parallel lines.

Thus, in the image given, we have the following alternate exterior angles:

∠2 and ∠8

∠1 and ∠7

Therefore, the pair of angles from the given options that are a pair of alternate exterior angles is:

C. ∠2 and ∠8

the complete question is

Which angle are a pair of alternate exterior angles

A. Angle 4 and angle 6

B. Angle 3 and angle 6

C. Angle 2 and angle 8

D. Angle 1 and angle 5

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Answer:

7, 28, 63, 112, 175, 252, 343, ...

Step-by-step explanation:

Step-by-step explanation:

7, 28, 63, 112, 175

7*1, 7*4, 7*9, 7*16, 7*25, ...

7*1², 7*2², 7*3^2, 7*4², 7*5²

Hence, 7n², n=1, 2, 3, 4, ...

7*6²=

7*6*6=

252

7*7²=

7*7*7=

343

Thus,

7, 28, 63, 112, 175, 252, 343, ...

Step-by-step explanation:

the second equation gives us right away

y = 4 - 3x

we can use that now in the 3rd equation :

-2(4 - 3x) + 2z = 4

-8 + 6x + 2z = 4

6x + 2z = 12

3x + z = 6

z = 6 - 3x

now we use both in the 1st equation :

-2x + 3(4 - 3x) - (6 - 3x) = -2

-2x + 12 - 9x - 6 + 3x = -2

-8x + 6 = -2

-8x = -8

x = 1

y = 4 - 3x = 4 - 3×1 = 4 - 3 = 1

z = 6 - 3x = 6 - 3×1 = 6 - 3 = 3

so,

(1, 1, 3)

Using the ratio given in the question,

The relation between the quantities of two or more objects—referred to as a ratio—indicates how much of one object is contained in the other. The ratio formula can be used to represent a ratio as a fraction. The ratio formula is given as, for any two quantities, let's assume a and b.

a:b = a/b

Given that James, Fay and Sal share 160 apples.

Total number of apples =  160

Hence, apples received by James = 1/4(160)

= 40 apples

Remaining apples = 160 - 40 = 120 apples

It is also given that the remainder is shared by Fay and Sal in the ratio 3:2.

Hence, the total share will be 3+2=5

So, we can write that Fay's share will be 3/5 of total apples and Sal's share will be 2/5 of the total apples.

Fay's share = 3/5(120)

=3(24)

=72 apples

Sal's share = 2/5(120)

=2(24)

=48 apples

Therefore, the number of apples with Fay is 72.

The number of apples with Sal is 48.

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The required code for the pedometer is illustrated below:

steps_per_mile=2000

def steps_to_miles(steps, inches_per_step):

   distance = steps * inches_per_step

   miles = distance / (steps_per_mile * inches_per_step)

   return miles

if __name__ == '__main__':

   steps = int(input())

   inches_per_step=float(input())

   miles_in_pedometer = steps_to_miles(steps,inches_per_step)

   print(f"You walked {steps} steps which are about {miles_in_pedometer:.2f} miles.")

what is a pedometer?

The required code for the pedometer is illustrated below:

steps_per_mile=2000

def steps_to_miles(steps, inches_per_step):

   distance = steps * inches_per_step

   miles = distance / (steps_per_mile * inches_per_step)

   return miles

if __name__ == '__main__':

   steps = int(input())

   inches_per_step=float(input())

   miles_in_pedometer = steps_to_miles(steps,inches_per_step)

   print(f"You walked {steps} steps which are about {miles_in_pedometer:.2f} miles.")

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13. 9,000 feet

14. 4,500 feet

15. descended 4,500 feet because 9000-4500=4500

16. base camp is 1,000 feet in elevation

17. during 3-4 pm he was descending the fastest because the slope between those two points is the greatest.

18. No because the graph is not linear.

Answer:

y=-5/6x-8

Step-by-step explanation:

Slope intercept form: y=mx+b

5x+6y=-48

6y=-5x-48  

y=-5/6x-8

Step-by-step explanation:

THE POINT OF INTERSECTION IS WHERE F(x) = G(x)

[tex](x + 3)(x - 1) = (x + 1)(x - 3) \\ {x}^{2} + 2x - 3 = {x}^{2} - 2x - 3 \\ \\ {x}^{2} - {x}^{2} + 2x + 2x - 3 + 3 = 0 \\ 4x = 0 \\ \frac{4x}{4} = \frac{0}{4} \\ x = 0[/tex]

find the y coordinate by plugging in the value of c in any of the function.You will get thw same value

[tex]g(0) = (0 + 1)(0 - 3) \\ g(0) = 1( - 3) \\ g(0) = y = - 3[/tex]

The point of intersection is (0,-3)

Answer:

Choice 1: ∠CFG = ∠FCB

Step-by-step explanation:

∠CFG and  ∠FCB are interior alternate angles and equal only if ABCD||EFG

Answer:

3⁹

Step-by-step explanation:

you can use a calculater and it will give 19683 and 3⁹ gives 19683

Answer:

3/64

Step-by-step explanation:

12/156

DIvide both numbers by two

6/78

Divide both numbers by two

3/64

Answer: 1/13

Step-by-step explanation:

[tex]\displaystyle\\\frac{12}{156}=\\\\ \frac{3*4}{3*52}=\\\\ \frac{4}{52}=\\\\ \frac{4}{4*13}=\\\\ \frac{1}{13}[/tex]

Answer:

No solution

Step-by-step explanation:

On the left side we have one half x plus one half x  which equals x.  On the right side we have x + 1.  So the equation becomes x = x + 1.  Subtracting x from both sides we get 0 = 1, which is false.  Therefore there is no solution to this problem.  

Using proportions, it is found that Kurt spent $22.68 a month on movie streaming services.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division.

These operations are used from the unit rates, as for example, when we have an amount over a period of time, the amount per unit of time is the total amount divided by the total time.

For this problem, we have that the important parameters are found as follows:

Hence his monthly spending is given by the unit rate as follows:

96.39/4.25 = $22.68 a month.

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The expression two less than four times a number is represented as 4x - 2

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as the addition, subtraction, division and multiplication.

According to the question, we are to transform two less than four times a number into expression

Let the unknown number be x such that

four times a number = 4x

two less than four times a number = 4x - 2

Hence the expression two less than four times a number is represented as 4x - 2

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The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

The equation of a line is represented as,

y = mx + c                                       equation1

x and y are the coordinates of the point from where the line is passing and m is the slope of the line.

As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).

The slope of the line through the point (-1,6) can also be written as   (y - 6)/(x - (-1))  =  (y-6)/(x+1).

i.e., m = (y-6)/(x+1)

On equating both the values of m, we will get

(y-6)/(x+1) = 1/2

On simplifying, we get

2y - 12 = x +1

or  2y - x = 13

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

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for the equation is, x = -4 - 5i

The  solution will be, x = -4 + 5i

for the equation is, x = 4 + 5i

The  solution will be, x = 4 - 5i

for the equation is, x = 5 - 4i

The  solution will be, x = 5 - 4i

Any equation in algebra that can be written in proper format as where x stands for an unknown, where a, b, and c stand for known numbers, and where a 0

If (a + bi) is a complex number and a quadratic equation has one solution,

The second solution to the equation will be the conjugate of the first.

Consequently, the alternative solution will take the form of (a - bi).

for the equation is, x = -4 - 5i

The  solution will be, x = -4 + 5i

for the equation is, x = 4 + 5i

The  solution will be, x = 4 - 5i

for the equation is, x = 5 - 4i

The  solution will be, x = 5 - 4i

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