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ad-work [718]
3 years ago
13

if y= 3x + 7 and the slope was multiplied by -1/2 would it become steeper become less steep or slope downward

Mathematics
1 answer:
amid [387]3 years ago
5 0
By saying the slope was multiplied by -1/2, I assume you actually mean multiply and not decreased. In the equation, the slope of the equation is 3. Therefore, if it were to be multiplied by -1/2, the new slope would be -3/2. Because the slope is now negative, the slow would be downward. I hope this helps :-)
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The number of employees for a certain company has been decreasing each year by 2%. If the company currently has 690 employees an
solmaris [256]

Answer:

511 employees

Step-by-step explanation:

Given data

P=690

rate= 2%

time = 13 years

let us apply the simple interest formula

A=P(1-rt)

Note the  negative sign (since we are dealing with decrease)

A= 690(1-0.02*13)

A=690(1-0.26)

A=690*0.74

A=510.6

A= 511 approx

Hence the population will reduce to 511 employees

8 0
3 years ago
How to write 8,409,120 in words form
Yakvenalex [24]

eight million four hundred nine thousand one hundred twenty

3 0
3 years ago
Read 2 more answers
-7/6 ? -6/7<br> I need to finish my hw. It’s using &lt; or &gt; please help thanks
FinnZ [79.3K]
-7/6< -6/7
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-1 1/6< -6/7
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5 0
3 years ago
If (fog)(x)=7x-1/3 and f(x)=3x+5,find g(x),where g(x)is linear<br>​
Svetach [21]

Answer: g(x) = \dfrac73x-\dfrac{16}{9}

Step-by-step explanation:

Given: (fog)(x)=7x-\dfrac13

f(x)=3x+5

and g(x) is linear.

A linear function is of the form : y= mx+c

Let g(x)= mx+c

Then, (fog)(x)=f(g(x))= f(mx+c)

= 3(mx+c)+5\\\\=3mx+3c+5

Comparing it with the original (fog)(x), we get

3mx+3c+5=7x-\dfrac{1}{3}

Comparing coefficient of x and constants separately

3m=7,\ \ \ \ 3c+5=-\dfrac13\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{1}{3}-5\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{16}{3}\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ c =-\dfrac{16}{9}

So, g(x) = \dfrac73x-\dfrac{16}{9}

3 0
3 years ago
Use the properties of logarithms to expand the following expression.log(z3)/√x5y)Each logarithm should involve only one variable
jek_recluse [69]

Answer:

3 log (z) -  1/2log (x) - 1/2 log (5) -1/2 log y

Step-by-step explanation:

log(z3)/√x5y)

= log (z3)   - log (√x5y)   [division being subtracted]

= 3 log (z) - {log (√x) + log (√5y)}    [ multiplication being added in the denominator]

= 3 log (z) - {log (x)^1/2 + log (5)^1/2+ log (y)^1/2}  

= 3 log (z) -  1/2{log (x) + log (5)+ log y }

 We can solve inside the curly bracket and then multiply with 1/2 or we can solve it separately

= 3 log (z) -  1/2log (x) - 1/2 log (5) -1/2 log y

How does this work?

1) any two terms being multiplied in logarithms are added with the log of each.

2) the exponent becomes the co- efficient.

3)  any two terms being divided in logarithms are subtracted with the log of each

8 0
3 years ago
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