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Mashcka [7]
3 years ago
7

If f(x) = 7 + 4x and g(x)= 7x, what is the value of (f/g)(5)

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

The value of (\frac{f}{g})(5) is \frac{27}{35}

Explanation:

Given that f(x)=7+4x and g(x)=7x

<u>The value of </u>(\frac{f}{g})(5)<u>:</u>

The value of (\frac{f}{g})(5) can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of (\frac{f}{g})(5)

Thus, we have,

(\frac{f}{g})(5)=\frac{f(5)}{g(5)}

Substituting the value of x = 5 in the functions f(x) and g(x), we get,

(\frac{f}{g})(5)=\frac{7+4(5)}{7(5)}

Simplifying the terms, we have,

(\frac{f}{g})(5)=\frac{7+20}{35}

Adding the terms in numerator, we have,

(\frac{f}{g})(5)=\frac{27}{35}

Thus, the value of (\frac{f}{g})(5) is \frac{27}{35}

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A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​
pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

6 0
2 years ago
For which value of x is the row in the table of values incorrect? the function is the quadratic function y=-1/2x^2
liberstina [14]

Answer:

D. x = 5

Step-by-step explanation:

At x = 5

y = -½(5)²

y = -½ × 25 = -25/2 = -12½

8 0
3 years ago
How can you tell when a pattern shows counting on by tens?
velikii [3]
<span><u><em>Answer:</em></u>
The difference between successive terms is 10

<u><em>Explanation:</em></u>
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

<u>Examples:</u>
<u>10, 20, 30, 40, 50, .....</u>
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

<u>37, 47, 57 , .....</u>
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)</span>
7 0
3 years ago
Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
3 years ago
Find the equation of the circle with center at the origin that contains the point (-8,6)
Katena32 [7]
The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10

The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2

Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore

(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
3 0
3 years ago
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