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ohaa [14]
3 years ago
13

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

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Which rules define the function graphed below?
NemiM [27]

Answer:

y=x+2; y=5

Step-by-step explanation:

5 0
3 years ago
The sum of 5 consecutive integers is 120. What is the third number in this sequence?
aliina [53]
Ok so

x - the smallest
The other 4 are : x+1, x+2, x+3, x+4
We know that sum is 120
So
x+x+1+x+2+x+3+x+4=120
Combine like terms
5x+10=120
Subtract 10 on both sides
5x=120-10
5x=110
Divide by 5 on both sides
X=22
The third number is x+2 = 22+2=24

3 0
3 years ago
Larry Thomas's charge account statement shows an unpaid balance of $800. The monthly finance charge is 1.5% of the unpaid balanc
lilavasa [31]

Answer:

The new account balance is <u>$812</u>.

Step-by-step explanation:

Given:

Larry Thomas's charge account statement shows an unpaid balance of $800.

The monthly finance charge is 1.5% of the unpaid balance.

Now, to find the new account balance.

Unpaid balance = $800.

Monthly finance charge of the unpaid balance = 1.5%.

Now, to get the new account balance:

$800 + 1.5% of $800.

=800+\frac{1.5}{100} \times 800.

=800+0.015\times 800.

=800+12.

=\$812.

Therefore, the new account balance is $812.

5 0
4 years ago
Which set of ordered pairs could be generated by an exponential function?
klemol [59]

Answer: Third option.

Step-by-step explanation:

By definition, Exponential functions have the following form:

y = ab^x

Where "b" is the base (b > 0 and b\neq 1), "a" is a coefficient (a\neq 0) and "x" is the exponent.

 It is importat to remember that the "Zero exponent rule" states that  any base with an exponent of 0 is equal to 1.

Then, for an input value 0 (x=0) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (y=1).

You can observe in the Third option shown in the image that when x=0, y=1

 Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.

4 0
3 years ago
Read 2 more answers
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a
iragen [17]
Number of friends - x

50-3x=2
-3x=-48
3x=48
x=16

Jack has 16 friends.
3 0
4 years ago
Read 2 more answers
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