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masya89 [10]
3 years ago
8

If the product of a number and -4 is subtracted from the number, the result is 3 more than the number. Find the number

Mathematics
2 answers:
masha68 [24]3 years ago
6 0

Answer: 0.75 or 3/4

   

lesya [120]3 years ago
3 0

Answer: The number is 0.75 or 3/4

Step-by-step explanation:

let x = the number.

Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x.     x-(-4x)

Then, that equals 3 more than the number (x) = x+3

So the equation is x-(-4x)=x+3.

Then, solve the equation!

x-(-4x)=x+3

x+4x=x+3  (Distribute the negative to the parentheses)

5x=x+3  (Combine like terms)

4x=3  (Get the Xs on one side by subtracting x from both sides)

x=0.75 or 3/4  (divide by the coefficiant, 4, on both sides)

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What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)
IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3

5 0
2 years ago
1. )The function f(x)=12,500(0.87)^x models the value of a car x years after it is purchased.
sweet-ann [11.9K]
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
 rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15  is about 1/4  the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%

7 0
3 years ago
Is 225/15/3 equal to 225/(15/3)?
Andrej [43]
No, because if they were equal the second equation should be 225/(15x3), not (15/3). 
8 0
3 years ago
Read 2 more answers
Molly painted a line around the entire perimeter of the basketball court. The length of the court was 32 meters and the width wa
xz_007 [3.2K]
The answer is 98 meters :)
5 0
3 years ago
16w+2 simplified<br><br> Factor the expression by the greatest common factor
MatroZZZ [7]

Answer:

2(8w + 1)

Step-by-step explanation:

Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.

2 appears on both sides of the plus sign.

2(16w/2 + 2/2)

4 0
2 years ago
Read 2 more answers
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