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Karolina [17]
2 years ago
5

What are the solutions to the equation (2x – 5)(3x – 1) = 0? x= 5 or x + 1

Mathematics
1 answer:
Temka [501]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

(2x - 5)(3x - 1) = 0

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = \frac{1}{3}

Solutions are x = \frac{5}{2} or x = \frac{1}{3}

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Use a calculator to determine if the statement is true or false.
pishuonlain [190]

Answer:

False

Step-by-step explanation:

I'm not 100% sure if this is tru but i think it's right

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2 years ago
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Three men went into a second-hand shop to buy a
olga nikolaevna [1]

Step-by-step explanation:

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum can be expressed in this manner:

7 0
2 years ago
Solve the system<br> 4x + 2y = 10<br> x = y + 13
Maslowich

Answer:

x = 6

y = -7

Step-by-step explanation:

We have the system of equations:

4x+2y=10\\x=y+13

Let's solve by substituting. We know that x=y+13, so we can substitute y+13 in as x in the equation 4x+2y=10.

4(y+13) + 2y = 10

Simplify this down so that we have y on one side of the equation:

4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7

Now that we know the value of y, we can substitute it in to the equation x = y+13 to find x.

x = -7+13\\\\x = 6

Hope this helped!

3 0
3 years ago
Read 2 more answers
the length of a rectangle is 7 yd less than three times the width, and the area of the rectangle is 66 yd(squared). find the dim
Alex_Xolod [135]
So legnt=l
width=w
l=-7+3w
l=3w-7

area=66
area=legnth times width or
area=lw

subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))

(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this

w-6=0
add 6
w=6

width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11


width=6
legnth=11

7 0
3 years ago
A restaurant that specializes in pizza providA restaurant that specializes in pizza provides the following pricing table for a l
Mrac [35]

Answer:it’s b

Step-by-step explanation:

6 0
3 years ago
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