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1 year ago

75 Points!

Mathematics

2 answers:

9966 [12]1 year ago

5 0

Answer:

50mph

Step-by-step explanation:

Say for example car A increases by 10 miles per hour and car B decreases by 10 miles per hour. If car A2 = car B3 then by eliminating a few numbers and finally get to 50 you get the following equation.

A = 50+10

b = 50-10

A = 60

B = 40

A2 = 120

B3 = 120

120 = 120

mixer [17]1 year ago

5 0

Answer

120km

Step-by-step explanation:

let s = the original speed

Write a distance equation; dist = time * speed

3(s-10) = 2(s+10)

3s - 30 = 2s + 20

3s - 2s = 20 + 30

s = 50 km/hr is the original speed

confirm this, find the distances

3(50-10) = 120 km

2(50+10) = 120 km

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Using Cramer's rule to solve linear systems.

Rzqust [24]

Answer: Last Option

$x=2,\ y=-5$

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

$y =\frac{Det(A_Y)}{Det(A)}$

For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

$|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200$

Finally

$x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2$

$y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5$

4 0

2 years ago

I need help with this question , 17 - q = 6

Dovator [93]

The answer is 11!! :-)

5 0

1 year ago

17. What expression is equivalent to log(200) - log (2)? Calculate the answer.

IRINA_888 [86]

Answer: 2

Step-by-step explanation:

Recall from the laws of Logarithms:

Log a - Log b = Log ( a/b )

That means

Log 200 - Log 2 = Log ( 200/2)

= Log 100 , which could be written as

Log $10^{2}$

Recall from laws of Logarithms:

Log $a^{b}$ = b Log a

Therefore:

Log $10^{2}$ = 2 Log 10

Also from law of Logarithm

Log 10 = 1

Therefore 2 Log 10 = 2 x 1

= 2

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2 years ago

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kati45 [8]

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5 0

2 years ago

Read 2 more answers

Identify the number types that describe a bar over 7

Morgarella [4.7K]

Answer:Type of Number Example

Prime Number P=2,3,5,7,11,13,17,…

Composite Number 4,6,8,9,10,12,...

Whole Numbers W=0,1,2,3,4,…

Integers Z=…,−3,−2,−1,0,1,2,3,…

Step-by-step explanation:

8 0

1 year ago