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julia-pushkina [17]
3 years ago
8

Identify the effect on the graph of replacing f(x) by f(x - h)

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Given:

Replace f(x) by f(x - h).

To find:

The effect on the graph of replacing f(x) by f(x - h).

Solution:

Horizontal shift is defined as:

If the graph f(x) shifts h units left, then f(x+h).

If the graph f(x) shifts h units right, then f(x-h).

Where, h is a constant that represents the horizontal shift.

In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.

Here, we have x-h in place of x.

Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).

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A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
serg [7]

Answer:

(B)\dfrac{dA}{dt}=8-0.004A

Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

Initial Amount of Salt in the tank, A(0)= 30 pounds

Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}

Therefore:

The rate of change of amount of salt in the tank,

\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A

5 0
4 years ago
If a cylinder has a height of 21 cm and a volume of 11,144 cm^3.
nataly862011 [7]
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius\\
----------\\
h=21\\
V=11,144
\end{cases}\implies 11,144=\pi \cdot  r^2\cdot 21

solve for "r"
7 0
3 years ago
30 divide by 6 equal what
Lady bird [3.3K]
30 divided by 6 is 5
5 0
3 years ago
MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

7 0
3 years ago
Supposed you buy two shares of a stock worth $100. It goes up by 50% .how much did you make
alexira [117]

Answer:

The answer is $150

Step-by-step explanation:

hope that helps

Solutions: $100x.50=50

$100+$50= $150

6 0
3 years ago
Read 2 more answers
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