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GenaCL600 [577]
3 years ago
15

Please help it would mean so much!! 4x-3(x-2)=21

Mathematics
2 answers:
GaryK [48]3 years ago
8 0

4x-3(x-2)=21

4x-3x+6=21

4x-3x=21-6

x=15

is this right? let's check

4(15)-3(15-2) = 21? yes

dexar [7]3 years ago
7 0

For this case we have the following expression, we must find the value of the variable "x":

4x-3 (x-2) = 21

We apply distributive property to the terms of the parenthesis taking into account that:

- * + = -\\- * - = +\\4x-3x + 6 = 21

We add similar terms:

x + 6 = 21

We subtract 6 on both sides of the equation:

x = 21-6\\x = 15

Now, the value of x is 15

Answer:

x = 15

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If it takes 5 gallons of gas to drive 115 miles, how many miles can be driven using 7 gallons of gas?
elena-s [515]

Answer: The answer is 161

Step-by-step explanation: First you write 5 and 115 as a proportion, 5/115, (for every 5 gallons you can go 115 miles). Then you find out how much you can go with 1 gallon, divide by 5. Then multiply that by 7, since that is how many gallons you need to find out.

Hope this is helpful!

7 0
3 years ago
Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0
3 years ago
Factor the given quadratic function x2 + 9x = 36.​
Gennadij [26K]

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

{x}^{2}  + 9x = 36 \\  {x}^{2}  + 9x - 36 = 0 \\  {x}^{2}  + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0

4 0
3 years ago
You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.
Romashka-Z-Leto [24]

Answer:

a) T(x)=300x+18x=318x

b) D(x)=318x-(0.1)(318)+10x\\=296.2x

c) Yes.

Step-by-step explanation:

We have that:

Tires=$300\\Tax=0.006\\Discount=0.1\\

And we have $10 free of taxes.

Making x= number of tires to buy, then we have that the total cost of tires is:

Total_{Tires}=300x

So, what we pay for taxes is given by:

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a) Then, according to the above, we can write down the total cost before the discount as:

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b) And the total cost after discounts, is then given by:

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c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.

6 0
3 years ago
Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156D. 0
Semmy [17]
Um A :)
hope this helps :)))))))))))))

8 0
3 years ago
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