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3 years ago

The function f(x)=2x−5 is a linear function. Let g(x) represent f(x) after a horizontal translation 3 units to the right.

2 answers:

Nadusha1986 [10]3 years ago

8 0

Moving c units to the right means minus c from every x
f(x)=2x-5
move 3 to right
g(x)=2(x-3)-5
g(x)=2x-6-5
g(x)=2x-11

last one is answer

trapecia [35]3 years ago

4 0

G. (x)=2x-11

how u get the answer is:
$\frac{x}{y} \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right.$

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LekaFEV [45]

Answer:

x=0

x=6

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Step-by-step explanation:

x(x^2-5x-6)

x(x-6)(x+1)

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x=6

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3 years ago

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A yardstick placed perpendicular to the ground casts a 4 foot shadow. At the same time, a grain silo casts a 34 foot shadow. Wri

kobusy [5.1K]

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3 years ago

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

f. If a salesperson receives a commission of 12% of sales, what is the salesperson's commission on $250,000 of sales?

Gala2k [10]

Answer:

30,000

Step-by-step explanation:

250,000 * .12 = 30,000

in real life the commission would be split between the owner, broker and salesperson

salespeople often do not keep the entire commission

8 0

2 years ago

Can somebody help me find the slope of this problem ??

andreev551 [17]

Answer:

The slope is 3/4

Please correct me if I am wrong please and thank you

Step-by-step explanation:

I use the slope formula $\frac{y2-y1}{x2-x1}$

Plug in (2,1) and (-2,-2)

1-(-2)/2-2

= 3/4

7 0

2 years ago

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