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Eddi Din [679]
3 years ago
11

For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4

Mathematics
2 answers:
VashaNatasha [74]3 years ago
5 0

Answer:

y>0.375

Step-by-step explanation:

Daniel [21]3 years ago
3 0

Answer:

For the values of y greater than \frac{3}{17}

Step-by-step explanation:

Suppose 5y-1 greater than the value of the fraction \frac{3y-1}{4}

That is,

5y - 1 > \frac{3y-1}{4}

4(5y - 1) > 3y - 1

20y - 4 > 3y - 1

20y - 3y > -1 + 4

17y > 3

\implies y>\frac{3}{17}    ( a > b ⇒ \frac{a}{d} > \frac{b}{d} where, d > 0 )

Hence, for the values of y greater than \frac{3}{17} the value of the binomial 5y-1 greater than the value of the fraction \frac{3y-1}{4}.

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Lady bird [3.3K]

Before combining the real parts and the imaginary parts, line them up vertically as follows:

 4   +   4i

-13   -  17i

--------------            Now add up each column.

 -9 - 13i   (Answer A)

6 0
3 years ago
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A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.
Arisa [49]

Answer:

G. 32

Step-by-step explanation:

32 x 335 = 10720

16,100 - 10720 = 5380/190 = 28.3157894737

275 x 32 = 8800

18,800 - 8800 = 10,000/400 = 25 (This is the closer).

30 x 335 = 10,050

16,100 - 10,050 = 6050/190  = 31.8421052632

30 x 275 = 8250

18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)

25 x 335 = 8375

16,100 - 8375 = 7725/190 = 40.6578947368

25 x 275 = 6875

18,800 - 6875 = 11925/400 = 29.8125

24 x 335 = 8040

16,100 - 8040 = 8060/190 = 42.4210526316

24 x 275 = 6600

18,800 - 6600 = 12200/400 = 30.5

8 0
2 years ago
Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take
scoundrel [369]

Answer:

Joe: 3 hrs

Janet: 6hrs

Step-by-step explanation:

joe takes x hours

so in 1 hr he does 1/x of the garden

janet takes 2x hours

so in 1 hr she does 1/(2x) of the garden

In one hour together they do 1/2 of the garden

1/x + 1/(2x) = 1/2

2/(2x) + 1/(2x) = 1/2

3/(2x) = 1/2

Cross multiply

6 = 2x

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Joe: 3 hrs

Janet: 6hrs

4 0
3 years ago
One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
Scilla [17]

Answer:

The measure of the two supplementary angles are 65 degrees and 115 degrees.

Step-by-step explanation:

The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

x+y=180\ ....(1)

According to given condition,

One supplementary angle is 15 degrees less than twice the other, it means,

x=2y-15\ .....(2)

Putting the value of x from above equation in equation (1),

2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}

Now put the value of y in equation (1), so,

x+65=180\\\\x=115^{\circ}

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.

3 0
3 years ago
Convert the equation from intercept form to standard form.<br> y= 3(x-1)(x-4)
Sergeu [11.5K]

Answer:

I think the answer is y = 3x + 12.

Step-by-step explanation:

y = 3 (x - 1) (x - 4)

y = 3x -3 (x - 4)

y = 3x + 12

7 0
3 years ago
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