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Paladinen [302]
2 years ago
13

If f(x) is a linear function, what is the value of n?

Mathematics
2 answers:
lana [24]2 years ago
4 0
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.

To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.

Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.

Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2

Now we can write the equation
f(x) = (1/2)x + 11/2

Plugging in x = 7 we find that f(7) = 9. n = 9
Tju [1.3M]2 years ago
4 0

Answer:

Option C. 13

Step-by-step explanation:

Since f(x) is a linear function then we can rewrite the function in the form of an equation y = mx + c

where m is the slope of a line.

Since line passes through two points (3, 7), (9, 16)

Therefore m = (16 - 7)/(9 - 3) = 9/6 = 3/2

Now we know a point (16, 26.5) also lie on the line so by putting the values of m, x, and y in the equation.

y = 3x/2 + c

26.5 = 3×16/2 + c

c = 26.5 - 24 = 2.5

So the equation is y = 3x/2 + 5/2

y = 1/2(3x + 5)

If a point (7, n) lies on the line then

n = 1/2(3×7 + 5) = 1/2(21 + 5) = 26/2 = 13

Therefore n = 13 is the answer.

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If the scale factor is 5, how many times larger will the scaled copy's area be?
Lady bird [3.3K]

Answer:

25 times

Step-by-step explanation:

Scale factor is the ratio of dimensions of the image and the preimage.

Scale factor = \frac{\text{Side length of image}}{\text{Side length of preimage}}

Since area of a figure is the square of dimensions.

Area = Length × Width

Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.

Area scale factor = \frac{\text{Area of the image}}{\text{Area of the preimage}}

                             = (Scale factor)²

                             = 5²

                             = 25

Therefore, area of the image will be 25 times the area of the preimage.

4 0
3 years ago
How much it must decrease 65432 to reach 100000​
Alisiya [41]

Answer:

165432

Step-by-step explanation:

165432 - 65432 = 100000

8 0
3 years ago
Find the area of the triangle 15 m and 34 m
slava [35]

Answer:

255m^2

Step-by-step explanation:

You multipliy 15 and 34. Then you divide by 2

5 0
3 years ago
Can someone please answer this???? ASAP
timofeeve [1]

Answer:

A. y=-\dfrac{8}{7}x-\dfrac{18}{7}

Step-by-step explanation:

Let y=mx+b be the equation of the perpendicular line.

Two perpendicular lines have slopes with product equal to -1. The slope of the given line is \frac{7}{8} Hence,

\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}

is the slope of needed line.

This line passes through the point (-4,2), so its coordinates satisfy the equation:

2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}

Therefore, the equation of the line is

y=-\dfrac{8}{7}x-\dfrac{18}{7}

7 0
2 years ago
work out the circumference of this circle take pie to be 3.142and give your number to 1 decimal place and the radius is 11.2cm
harina [27]
Circumference is 2*pi*r
2 * 3.142 * 11.2 = 70.3808, to 1 decimal place is 70.4cm^2
6 0
3 years ago
Read 2 more answers
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