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3 years ago

Liner systems of equations

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

8 years

Step-by-step explanation:

x years later type A and type B will have the same height

Type A = Type B: 10 + (8/12)*X = 6 + (14/12)*X

multiply 12 each side

120 + 8x = 72 + 14x

14x - 8x = 120 - 72

6x = 48

x = 8

check: A: 10 x 12 + 8 x 8 = 184

B: 6 x 12 + 14 x 8 = 184

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HELP ASAP PLZ. This is vital to my math grade, This is the first of three questions I have. It is interval notation. The answer

katen-ka-za [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

3 0

3 years ago

20 points Help Of the 30 girls who tried out for the basketball team at SMS, 12 were

Kisachek [45]

Answer:

yes

Step-by-step explanation:

Girls:

12 girls out of 30

12/30

Divide the top and bottom by 6

2/5

Boys

16 out of 40

Divide the top and bottom by 8

2/5

8 0

3 years ago

Which of the following is a pair of vertical angles? *

erastovalidia [21]

Answer:

1 and 3, 2 and 4, 5 and 7, and 8 and 65

Step-by-step explanation:

Vertical Angles Congruence Theorem

6 0

3 years ago

HELP PLEASE!! THANK YOU!

dmitriy555 [2]

Answer: choice B, 40.5 degrees

The triangle is isosceles based on the fact that AC = BC (the tick marks are the same). The angles opposite the congruent sides are also congruent

angle A = angle B = x for some unknown number x

The three angles A,B,C add to 180, so,

A+B+C = 180

x+x+99 = 180

2x+99 = 180

2x = 180-99

2x = 81

x = 81/2

x = 40.5

So angle A and angle B are both 40.5 degrees

Check:

A+B+C = 180

40.5+40.5+99 = 180

180 = 180 answer is confirmed

==============================

Edit

The sides with the two tick marks are the same length, so 7x-4 is the same as length as 31

7x-4 = 31

7x = 31+4

7x = 35

x = 35/7

x = 5

Answer is choice B) 5

3 0

4 years ago