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agasfer [191]
2 years ago
15

Solve the system of equations. A. (3,2) B. (-2,0) C. (0, -2) D. (-4,2)

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
5 0

Answer:

d. (-4,2)

Step-by-step explanation:

GREYUIT [131]2 years ago
5 0
  • Y = 1/2X + 4 ( Equation – 1)

  • Y = –5/4X – 3 ( Equation – 2)

Here, Y = 1/2X + 4

Or, –5/4X – 3 = 1/2X + 4 (From equation 1 and 2)

Or, –5/4X = 1/2X + 4 + 3

Or, –5/4X = 1/2X + 7

Or, 1/2X + 7 = –5/4X

Or, 7 = –5/4 X – 1/2 X

Or, –5/4X – 2/4 X = 7

Or, –7/4 X = 7

Or, –7 X = 7 × 4

Or, –7X = 28

Or, X = 28/–7

Or, X = – 4

Here, in the fourth option, we can see that X= –4, Hence Option <u>D— (-4,2)</u> Is correct.

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Solve the equation 4*e+2=1 (mod5)
otez555 [7]

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

4 0
3 years ago
A box contains four $1 and six $5 bills. if three bills are selected at random without replacement, find the probability that al
myrzilka [38]

Answer:

C.1/6

Step-by-step explanation:

Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;

(number of $5 bills) / (total number of bills)

= (6)/(4+6) = 3/5

If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (5)/(4+5) = 5/9

The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.

Now, the probability of picking a $5 bill in the third attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (4)/(4+4) = 1/2

Since the three attempts are independent, the probability of picking  all three $5 bills is;

3/5 * 5/9 * 1/2 = 1/6

7 0
2 years ago
Evaluate.
Temka [501]

9514 1404 393

Answer:

  -7/48

Step-by-step explanation:

Put the numbers in place of the corresponding variables and do the arithmetic.

  \dfrac{-\left|1\dfrac{7}{8}+(-1)\right|}{2-(-4)}=\dfrac{-\dfrac{7}{8}}{6}=-\dfrac{7}{8\cdot6}=\boxed{-\dfrac{7}{48}}

8 0
2 years ago
A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How
Anvisha [2.4K]

Answer:

46 feet high!

Step-by-step explanation:

8 0
3 years ago
(Z-6) divided by 3 for z= 15.9
scoray [572]
Simply plug in \sf{z=15.9} into \sf{\frac{z-6}{3}}

So:

\sf{\frac{15.9-6}{3}}

Simplify that more:

\sf{\frac{9.9}{3}}

And that finally becomes 

\sf{3.3}

So when \sf{z=15.9} the answer will be \boxed{\sf{3.3}}
4 0
3 years ago
Read 2 more answers
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