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Butoxors [25]
3 years ago
8

F(x) = 2x and g(x) = 2x - 7 Find (f - g)(x).

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

(f-g)(x)=7

Step-by-step explanation:

f(x)=2x

g(x)=2x-7

(f-g)(x)=f(x)-g(x)=2x-(2x-7)=7

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Use logarithms to solve each equation 2x9/8=111
Illusion [34]
<span>We have this equation:
</span>
2x^{\frac{9}{8}} = 111

and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:

x^{\frac{9}{8}}=\frac{111}{2}
 
Next step we must do is to apply <span>logarithms:
</span>
logx^{\frac{9}{8}} = log(\frac{111}{2})

Next, we have to apply identities and then to solve the equation:

\frac{9}{8}logx = log(\frac{111}{2})
logx =  \frac{8}{9}log(\frac{111}{2})
logx = 1.5504
10^{logx} =  10^{1.5504}

Finally, we have the value of x which was our goal. This is the answer for the question above:

x= 35.5140

7 0
3 years ago
The distance on a map between the entrance of the park in waterfall inside the park is 4 1/2 inches if 3 inches is 2 1/2 miles w
aleksandrvk [35]
5 3/4 divided by 4 1/2       23/4 divided by 9/2     23/4 times 2/9      46/36 = 1 and 10/36  (reduced) = 1 and 5/18 inches

5 0
4 years ago
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
DanielleElmas [232]

Answer:

C 18 x minus 9 = 72

D 3 (6 x minus 3) = 72

E   x = 4.5

Step-by-step explanation:

Hope this helped

6 0
3 years ago
Read 2 more answers
The lakeside marina charges a $35 rental fee for a boat in addition to charging $15 per hour. Part D:what information does the i
STALIN [3.7K]

Answer: B.The cost of rental fee only

Step-by-step explanation:

The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.

Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.

7 0
2 years ago
Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!
kupik [55]

Answer:

The equation of required line is: \mathbf{5x-8y+34=0}

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to 5x-8y+12=0 and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line  5x-8y+12=0 to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: y=mx+b where m is slope.

5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}

So, the slope m = 5/8

The slope of required line is m=\frac{5}{8}

Now finding y-intercept using slope m=\frac{5}{8} and point(-2,3)

y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}

So, the equation of required line having slope m=\frac{5}{8}  and y-intercept b=\frac{17}{4}

y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8}  \\8y=5x+34\\5x-8y+34=0

So, The equation of required line is: \mathbf{5x-8y+34=0}

3 0
2 years ago
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