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12345 [234]
3 years ago
9

Evaluate the following expression using the values given: Find 2x - 3y - z if x = -2, y = 3, and z = -2

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
<span>2x - 3y - z
Substitute the variables for the numbers provided for them
</span><span>2(-2) - 3(3) - (-2)
Multiply 2 by -2
-4 - 3(3) - (-2)
Multiply -3 by 3
-4 - 9 - (-2)
Subtract 9 from -4
-13 - (-2)
Convert Subtract -2 from -13. It would be the same as adding 2 to -13.
Final Answer: -11</span>
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The length of the hypotenuse of a right triangle is 16 inches. If the length of one leg is 5 inches, what is the approximate len
Musya8 [376]

Answer:

15.2 inches

Step-by-step explanation:

a^2 + b ^2= c^2

5^2 + b ^2=16^2

b ^2=256 - 25

√b ^2=√231

b= 15.2 inches

7 0
3 years ago
A common factor of 2x+10 and 4x+8
OverLord2011 [107]

Answer:

2

Step-by-step explanation:

2(x+5) this is the most you can simplify it

2(2x+4) but you can factor out another 2 so it is 4(x+2)

5 0
4 years ago
HELP ME PLEASE WITH 1,2 AND 3 PLEASE DON'T TAKE LONG TO RESPOND !!​
soldi70 [24.7K]

Answer:

1. -19x

3. 23 -  8x

5. -18x + 2y

Step-by-step explanation:

first: 3x - x = 2x

2x - 22x = -20x

-20x + x = -19x

second one:

8 - (-15) = 23

12x - 20x = -8 x

23 - 8x

third:

-10x - 8x = -18x

3y - y = 2y

-18x + 2y

6 0
3 years ago
Read 2 more answers
Solve for p: -9 + p &lt; 15 <br> A. p &gt; 24 B. -p &gt; 6 C. p &lt; 24 D. -p &lt; -6
Soloha48 [4]

Answer:

C.  In the given expression -9 + p < 15 , the value of p <  24.

Step-by-step explanation:

Here, the given expression is :

-9 + p < 15

Now, solving for the value of p.

If equals are added to both sides of inequality, the inequality remains unchanged.

Now, -9 + p < 15

⇒  -9 + p  + 9 < 15  + 9                                  (adding +9 on both sides)

or,  p <  24

Hence, in the given expression -9 + p < 15  the value of  p <  24.

5 0
3 years ago
Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound
Simora [160]

Answer:

t=2.5\ years  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045  

substitute in the formula above   and solve for t

14,000=12,500(e)^{0.045t}  

Simplify

14,000/12,500=(e)^{0.045t}  

1.12=(e)^{0.045t}  

Apply ln both sides

ln(1.12)=ln[(e)^{0.045t}]  

ln(1.12)=(0.045t)ln(e)  

Remember that

ln(e)=1  

so

ln(1.12)=(0.045t)  

t=ln(1.12)/(0.045)  

t=2.5\ years  

3 0
4 years ago
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