Help for question 1 and 2

Mathematics

1 answer:

AnnyKZ [126]2 years ago

4 0

Answer:

(1). $5^{4}$ × $13^{7}$ ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( $13^{-2}$ · $13^{9}$ ) = $(-5)^{3+1}$ × $(13)^{-2+9}$ = $(-5)^{4}$ × $13^{7}$ = $5^{4}$ × $13^{7}$

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

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Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle

notka56 [123]

Answer:

Let x represent the smaller number and y represent the larger number

For the first equation 

Four times a number added to 3 times a larger number is 31 is written as

4x + 3y = 31

Making y the subject we have

3y = - 4x + 31

Divide both sides by 3

That's

$y = - \frac{4}{3} x + \frac{31}{3}$

For the second equation

Seven subtracted from the larger number is equal to twice the smaller number is written as

y - 7 = 2x

Making y the subject

We have

Hope this helps you

7 0

3 years ago

2. Find the cosine function that is represented in the graph.

Diano4ka-milaya [45]

Answer:

$f(x) = cos(x - \frac{\pi }{4} ) -1$

Step-by-step explanation:

In this graph, we have the coordinate point ( $\frac{\pi }{4} , 0$ ). Without translations, cos(0) = 0, which means that the graph is shifted to the right by $\frac{\pi }{4}$ . We also know that the graph is shifted down by 1 because we have the point

( $\frac{5\pi }{4} , -2$ ), but accounting for the right shift, this point should really by ( $\pi , -2$ ). cos( $\pi$ ) = -1, but on the graph it is -2, meaning that it is shifted down by 1.