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2 years ago

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?

Mathematics

2 answers:

vfiekz [6]2 years ago

8 0

Answer:

B) Shifts the line 7 units down

Step-by-step explanation:

Translations are transformations that change the position of the graph of a function. The general form of the graph of a function is translated up, down, to the right, or to the left. The translations are considered rigid transformations.

You can check the answer simply by evaluating the function at x=0:

$f(0-7)=f(-7)=(-7)$

Also, I attached you the graph.

marin [14]2 years ago

7 0

Shifts the line 7 units down

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Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale

valkas [14]

Answer:

The specific weight is $1.5\frac{g}{cm^{3}}$

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=255\pi\ cm^{2}$

$l=17\ cm$

substitute the values

$255\pi=\pi r(17)$

Simplify

$255=r(17)$

$r=255/(17)=15\ cm$

step 2

Find the height of the cone

Applying the Pythagoras Theorem

$l^{2} =r^{2} +h^{2}$

substitute the values and solve for h

$17^{2} =15^{2} +h^{2}$

$h^{2}=17^{2}-15^{2}$

$h^{2}=64$

$h=8\ cm$

step 3

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

substitute the values

$V=\frac{1}{3}\pi (15)^{2}(8)$

$V=600\pi\ cm^{3}$

step 4

Find the specific weight

Divide the mass by the volume

$\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}$

4 0

3 years ago

-8x - 2y = -24 Find the slope

Anon25 [30]

-8x-2y=-24
-2y=-24+8x
2y=24-8x
Y=12-4x
Y=-4x+12

5 0

2 years ago

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A culture started with 4,000 bacteria. After 2 hours it grew to 4400 bacteria. Predict how many bacteria will be present after 1

Art [367]

idk why they want the dratted "k" . it is so simple w/o it !
in the form y = ab^x, a = 4000, b = 4400/4000 = 1.1, x = t/2
N = 4000*1.1^(13/2) = 7432 <------
-----------------
now you won't be satisfied with simplicity, so
4400 = 4000e^2k
e^2k = 1.1
k = ln 1.1/2 = .0477 to 4 dp
N(13) = 4000e^(13*.0477) = 7436 <------

note that apart from a roundabout way, you get a less accurate ans !

5 0

2 years ago

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Work out area of a triangle base 9cm height 4cm

insens350 [35]

Area = 1/2 x base x height

Area = 1/2 x 9 x 4

Area = 9 x 2

Area = 18 cm^2

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3 years ago

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Michel read 18 books this was 4 books than twice the number of books that Jeff read how many books did Jeff read

Ludmilka [50]

Answer:Jeff read 11 books I believe