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3 years ago

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A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3

/4 y=-6x-3/4

1 answer:

Andre45 [30]3 years ago

8 0

use photomath it helps alot

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Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be

8090 [49]

Answer:

x + 3 < 12

Hope this helps :)

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3 years ago

The numbers 2/1/3,h,k,7/7/8 firm a geometric progression. find the value of h and of k

taurus [48]

$\text{We have }\ 2\dfrac{1}{3},\ h,\ k,\ 7\dfrac{7}{8}.\\\\\text{Convert the mixed numbers to the improper fractions}\\\\2\dfrac{1}{3}=\dfrac{2\cdot3+1}{3}=\dfrac{7}{3}\\\\7\dfrac{7}{8}=\dfrac{7\cdot8+7}{8}=\dfrac{63}{8}\\\\\text{If}\ a_1,\ a_2,\ a_3,\ a_4\ \text{is a geometric seqence, then:}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=r\\\\a_2=a_1r\\\\\text{and}\ \dfrac{a_4}{a_1}=r^3\\\\\text{Substitute:}$

$r^3=\dfrac{\frac{63}{8}}{\frac{7}{3}}\\\\r^3=\dfrac{63}{8}\cdot\dfrac{3}{7}\\\\r^3=\dfrac{9\cdot3}{8\cdot1}\\\\r^3=\dfrac{27}{8}\to r=\sqrt[3]{\dfrac{27}{8}}\\\\r=\dfrac{3}{2}\\\\h=2\dfrac{1}{3}\cdot\dfrac{3}{2}=\dfrac{7}{3}\cdot\dfrac{3}{2}=\dfrac{7}{2}\\\\k=\dfrac{7}{2}\cdot\dfrac{3}{2}=\dfrac{21}{4}\\\\Answer:\ \boxed{h=\dfrac{7}{2}=3\dfrac{1}{2}\ and\ k=\dfrac{21}{4}=5\dfrac{1}{4}}$

8 0

3 years ago

Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter

galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

$x*0,04+(100000-x-y)*0,05+y*0,06=5250$

From the equation it is found that:

$y=25000+x$

Instead of y, if we put 25000+x the equation will be as following:

$x*0,04+75000*0,05+(25000+x)*0,06=5250$

From the equation it is found that:

$x=5000$

Short-Term investment is 5000$

$x+25000=y$

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

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3 years ago

The sum of three numbers is 7. One of the numbers is one more than the sum of the other two numbers. It is also four times the d

Sedaia [141]

The only numbers I could think of would be 1, 2, and 4 because 4 is greater than 3 (2+1) and four times greater than 1 (2-1)

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3 years ago

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olasank [31]

Not sure what simp lies firm is

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3 years ago