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3 years ago

The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f. f(x+2)

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

The value of $f(x+2)=2.1x+2.5$

Step-by-step explanation:

Given: The function $f(x)=2.1x-1.7$

Using this formula, we need to find the value of $f(x+2)$

Hence, we need to substitute $x$ by $x+2$ to find the value of $f(x+2)$

$f(x+2)=2.1(x+2)-1.7$

Multiplying the term $(x+2)$ by $2.1$ , we get,

$f(x+2)=2.1x+4.2-1.7$

Adding the constant term,

$f(x+2)=2.1x+2.5$

Thus, the value of $f(x+2)$ is $f(x+2)=2.1x+2.5$

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Answer:

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3 years ago

During the day,Sam spent $4.85 on lunch.he also bought 2 books for $7.95 each. At the end of the day we had $8.20 left how much

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3 years ago

Write an equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the l

mamaluj [8]

The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is $y = \frac{3}{4}x - \frac{5}{4}$

<em><u>Solution:</u></em>

<em><u>The slope intercept form is given as:</u></em>

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5

Given line is perpendicular to − 4 x − 3 y = − 5

− 4 x − 3 y = − 5

-3y = 4x - 5

3y = -4x + 5

$y = \frac{-4x}{3} + \frac{5}{3}$

On comparing the above equation with eqn 1, we get,

$m = \frac{-4}{3}$

We know that product of slope of a line and slope of line perpendicular to it is -1

$\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}$

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope $m = \frac{3}{4}$

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

$-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}$

$\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}$

$y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}$

Thus the required equation of line is found

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3 years ago

It took Michala 4 hours to sew 9 scarfs. How many scarfs could she make in 24 hours

aksik [14]

<h2>4 hours → 9 scarfs</h2><h2>8 hours → 18 scarfs</h2><h2>12 hours → 27 scarfs</h2><h2>16 hours → 36 scarfs</h2><h2>20 hours → 45 scarfs</h2><h2><u>24 hours → 54 scarfs</u></h2><h2><u /></h2><h3>Therefore, Michala can sew 54 scarfs in 1 day.</h3>

3 0

3 years ago

Please I’m struggling

insens350 [35]

Answer:

1080cm²

Step-by-step explanation:

surface area=sum of the area of all the shapes

area of triangle=1/2*base*height

1/2*24*10=120*2(because there are two triangles)=240cm²

10*14=140cm²

24*14=336cm²

Area of slanting figure=26*14=364cm²

add all the results

240+140+336+364=1080cm²

6 0

3 years ago

Read 2 more answers