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dem82 [27]
2 years ago
6

A classic car is now selling for $2500 less than three times its original price. If the selling price is now $14,000, what was t

he car's original price?
Mathematics
1 answer:
Aneli [31]2 years ago
8 0

Answer:

42000

Step-by-step explanation:

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Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
What’s the vertex of the graph of the function y=x^2-8x+12
myrzilka [38]

Answer:

The vertex is 4

6 0
2 years ago
2 2/5 in kilometers in 3 3/4 minutes unit rate
Mars2501 [29]

Answer:

Step-by-step explanation:

d = r * t     Divide both sides by t

r = d / t

d = distance = 2.25 km

t = time = 3 3/4 minutes = 3.75 minutes

r = 2.25 / 3.75

r = 0.6 km / minute

r = 3/5 km / minute

If the units are different than those given, please state them underneath my answer. I'll get to it as soon as I see your comment.

5 0
2 years ago
John, and bill shared $900 in the ratio 7:3 respectively. how much money did each person get?
S_A_V [24]

John get money $630 and bill get money $270.

Given that John and bill shared $900 in the ratio 7:3 respectively.

The ratio is defined as the comparison of two quantities of equal units, indicating the quantity of one quantity contained in the other quantity.

The total ratio is 7+3=10

For john:

John has money seven out of 10 for the $900, we get

J=900×(7/10)

J=90×7

J=630

For bill:

Bill is three out of ten for $900, we get

B=900×(3/10)

B=90×3

B=270

Hence, john get money $630 and bill get $270 when they both shared $900 in the ratio 7:3 respectively.

Learn more about ratio from here brainly.com/question/2914376

#SPJ4

6 0
1 year ago
A bouquet of flowers contains 10 yellow daisies and 8 white dasies.Seanna bought b bouquets.She purchased a total of 90 flowers.
Alja [10]

Answer: she bought 5 bouquets

explanation:  add the yellow and white daisies together to get 18 then do

90 ÷18=5

7 0
2 years ago
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