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gogolik [260]
3 years ago
7

. Simplify: (-4a+ b–2c) –(3a+ 2b–c)

Mathematics
1 answer:
Naily [24]3 years ago
4 0

Answer:

(-4a + b – 2c) – (3a + 2b –c)  

-4a+b-2c-3a-2b+c  

-7a-b-c

Step-by-step explanation:

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What is the inequality of You must be over 12 years old to ride the go-karts.
Valentin [98]

Answer:

x ≥ 12

Hope that helps!

Step-by-step explanation:

6 0
3 years ago
Three times a number x is more than 18.
poizon [28]

Answer:

3x>18

Step-by-step explanation:

Three times the number x will be called 3x. If an expression is more or greater than a number, we use the greater symbol: >

So, we can write,

3x>18

5 0
2 years ago
What are the two missing sides of the triangle ??
igor_vitrenko [27]
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.

Givens
a = x
b = x + 4
c = 20

Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2

Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20  Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0  
2x^2 + 8x - 4 = 0         Divide through by 2
x^2 + 4x - 2 = 0

Use the quadratic formula
a = 1
b = 4
c = - 2

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} 
 
\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} + 4(1)(2) } }{2} 


From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6)  This is an extraneous root. No line can be minus.

x1 = + 0.4495
x2 = x + 4 = 4.4495
6 0
3 years ago
Simplify 3^8 x 3^4/ 3^2 x3^8 . Leaving your answer in index form
Olin [163]

Answer:

ur answer is down here in the photo thing:

Step-by-step explanation:

4 0
3 years ago
Use the given qualitative data to construct the relative frequency distribution.
ikadub [295]

Answer:

Category                         Relative Frequency

male survivors                           17.3%

males who died                          63.7 %

Female survivors                        15.1 %

Females who died                       3.8%

Step-by-step explanation:

  • The relative frequency is the proportion of the number of times the event occurs to the total number of trials.

Given : Total people on ship = 2274

Number of male ​survivors = 394

⇒ Relative Frequency of male ​survivors =\dfrac{394}{2274}

In percent , \dfrac{394}{2274}\times100\approx17.3\%

Number of males who​ died =1449

⇒ Relative Frequency of male ​who​ died =\dfrac{1449}{2274}

In percent , \dfrac{1449}{2274}\times100\approx63.7\%

Number of female​ survivors =344

⇒ Relative Frequency of female​ survivors =\dfrac{344}{2274}

In percent , \dfrac{344}{2274}\times100\approx15.1\%

Number of females who died = 87

⇒ Relative Frequency of females who died =\dfrac{87}{2274}

In percent , \dfrac{87}{2274}\times100\approx3.8\%

Hence, the complete table would be :

Category                         Relative Frequency

male survivors                           17.3%

males who died                          63.7 %

Female survivors                        15.1 %

Females who died                       3.8%

8 0
3 years ago
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