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3 years ago

Terry was doing research for a report

Mathematics

1 answer:

Travka [436]3 years ago

7 0

Answer:

1,900

Step-by-step explanation:

You have to do 1.9 times 10 to the power of three but first figure out the number to ten to the power of three which is 1,000. So 1,000 time 1.9 equal 1,900.

:) hope it helps

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HELP PLEASE !!! Place each expression under the equivalent expression in the table.

tino4ka555 [31]

Answer:

Option 3,5 are under first expression and Option 1,2 are under second expression.

Step-by-step explanation:

1). $\frac{(x-4)(x+2)}{x^{2}+5x+6}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{(x-4)(x+2)}{(x+3)(x+2)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$ $=\frac{(x-4)}{(x+3)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{(x-4)(4x-5)-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{4x^{2}-5x-16x+20-3x^{2}+24x-20}{(x+3)(4x-5)}$ $=\frac{x^{2}+3x}{(x+3)(4x-5)}$

$=\frac{x(x+3)}{(x+3)(4x-5)}=\frac{x}{4x-5}$

2). $\frac{3x}{4x-5}-\frac{4x^{2}}{8x^{2}-10x}=\frac{3x}{4x-5}-\frac{4x}{8x-10}$ $=\frac{3x(8x-10)-4x(4x-5)}{(4x-5)(8x-10)}$

$=\frac{24x^{2}-30x-16x^{2}+20x}{(4x-5)(8x-10)}$

$=\frac{8x^{2}-10x}{(4x-5)(8x-10)}$ $=\frac{x(8x-10)}{(4x-5)(8x-10)}=\frac{x}{4x-5}$

3). $\frac{6x^{2}}{x^{2}-7x+10}\div \frac{2x}{x-5}$

$=\frac{6x^{2}}{x^{2}-7x+10}\times \frac{x-5}{2x}$

$=\frac{3x(x-5)}{x^{2}-7x+10}$

$=\frac{3x(x-5)}{(x-5)(x-2)}=\frac{3x}{x-2}$

4). $\frac{-x}{4x-5}-\frac{4x^{2}}{16x^{2}-22x}$

$=\frac{-x}{4x-5}-\frac{2x}{8x-11}$

$=\frac{-x(8x-11)-2x(4x-5)}{(4x-5)(8x-11)}$

$=\frac{-8x^{2}+11x-8x^{2}+10x}{(4x-5)(8x-11)}$

$=\frac{-16x^{2}+21x}{(4x-5)(8x-11)}=\frac{-x(16x-21)}{(4x-5)(8x-11)}$

5). $\frac{3x^{2}}{x+3}\times \frac{2(x+3)}{2x^{2}-4x}$

$=\frac{6x^{2}(x+3)}{2x(x+3)(x-2)}=\frac{3x}{x-2}$

6). $\frac{5x^{2}}{x-2}\times \frac{2x+6}{8x^{2}-4x}$

$=\frac{10x^{2}(x+3)}{4x(x-2)(2x-1)}$

4 0

3 years ago

Read 2 more answers

Erika can walk 1/4 of a mile in 2/3 of an hour. At this rate, how many miles does she walk in 1 hour?

Nataliya [291]

Answer: 3/8 miles

hope this helps

6 0

3 years ago

I need help plzzz!!!! Sorry for inconvenience

mylen [45]

A i think it could be wrong

6 0

3 years ago

Explain how to use a number line to compare two integers

Alex787 [66]

Smaller numbers are to the left and larger numbers are to the right on number line. For example numbers 5 and 9! 5 is to the left of 9 so 5 is smaller than 9 or 9 is larger than 5! So graph the number on a number line to see which is greater or smaller! I hope that helps

3 0

4 years ago

If the sixth term of a sequence is 128 and the common ratio is 2, then what is the first term?

Lady bird [3.3K]

Geometric progresión:
we can calculate any term, using this rule:

an=a₁*r^(n-1)
a₁=the first term
r=the common ratio

a₆=128
r=2

an=a₁ * r^(n-1)
128=a₁ * 2⁶⁻¹
128=a₁ * 2⁵
128=a₁ * 32
a₁=128/32=4

Solution: a₁=4

3 0

3 years ago