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N76 [4]
3 years ago
7

a person can purchase a particular model of a new car with a choice of 10 colors, with or without automatic transmission, with o

r without 4 wheel drive, with or without air conditioning, and with 2,3 or 4 radio cd speakers. how many different options are there for this model of the car?
Mathematics
2 answers:
ch4aika [34]3 years ago
8 0
Im not good at math
stiks02 [169]3 years ago
4 0
There is 6 different options for this car model
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What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
3 years ago
Find the inverse function of F(x) = 1/2x-6​
DIA [1.3K]
F^-1 (x) = 2x + 12 hope it help
5 0
3 years ago
Read 2 more answers
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
Vlad [161]

Answer:

-15/2 or -7.5 or -7½

Negative StartFraction 15 Over 2 EndFraction

Step-by-step explanation:

Slope or gradient of a line is the ratio of change in y co-ordinates to the change in x co-ordinates.

Therefore;

M=∆y÷∆x

The change in y co-ordinates is given by

∆y=y2-y1

Similarly, change in x co-ordinates is given by

∆x=x2-x1

Given the two points as (5, 80) and (7, 65)

X1=5 Y1=80

X2=7 Y2=65

∆y=65-80=-15

∆x=7-5=2

Hence ∆y÷∆x will be -15÷2=-7.5 or -7½

Negative StartFraction 15 Over 2 EndFraction

4 0
3 years ago
Read 2 more answers
Please help ASAP!!!!
Karo-lina-s [1.5K]
The answer is 60. 

4x + 12 + x + x =180

solve for x. solve for d. Now you can find angle c. 
7 0
2 years ago
If Rachel were to paint her living room alone it would take five hours her sister Barbara could do the job in eight hours how ma
viva [34]

Answer:

40/13 hours

Step-by-step explanation:

Let 1 represent the room being painted.

1/5 would represent 1/5 of a room painted in 1 hour.

1/8 would represent 1/8 of a room being painted in 1 hour

But they are are working together so

(1/5)x + (1/8)x = 1

The lowest common denominator is 5 * 8 = 40

[(1/5)x * 40 + (1/8)x * 40] = 1

8x + 5x = 40

13x = 40

x = 40/13

x = 3.077 hours

But you want a fraction as your answer so it is 3 1/13 or 40/13

You should notice that 3.077 is smaller than the lowest amount of time both of them use. That always happens with these questions.

8 0
3 years ago
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