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Artyom0805 [142]
3 years ago
11

Which of the following is the graph of f(x)= |x| reflected on the x-axis, translated 3units left, 4 units up, and dilated by a f

actor of 4?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

Step-by-step explanation:

Reflecting on the x-axis is multiplying the formula by a -1. That is, the resulting form is pointing up. When translated to the left 3 units, the tip of the graph is at the point (-3,0). Then when shifted 4 units up the tip is at (-3,4). Dilated by a factor of 4 will affect the values in x, but not the values in y. So the tip remains at the point (-3,4) which corresponds to the second graph

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John's commute to work is 20kmhr while Sheri's commute is 500mmin. Who has the fastest commute to work in mihrif 1.61km=1mi? A S
Andreyy89

Answer:

A) Sheri has the faster commute by 6.2 miles/hr.

Step-by-step explanation:

Given

John's commute to work =20\ km/hr

Sheri's commute to work  =500\ m/min

1.61\ km = 1\ mile

John's commute to work in miles per hour = \frac{20\ km}{1 hr}\times \frac{1\ mile}{1.61\ km}= 12.42\ miles/hr

Sheri's commute to work in miles per hour =\frac{500\ m}{1\ min}\times \frac{1\ km}{1000\ m}\times \frac{1\ mile}{1.61\ km}\times \frac{60\ min}{1\ hr}= 18.63\ miles/ hr

We can see that Sheri has a faster commute.

Difference between the rates =18.63\ miles/ hr-12.42\ miles/hr=6.21\ miles/hr\approx 6.2\ miles/hr

∴ Sheri has the faster commute by 6.2 miles/hr.

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4 years ago
Use the distributive property to simplify: -7 (3m - 4)
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Answer: -21m+28

Step-by-step explanation:

-7(3m-4)

-7* 3m = -21m

-7*-4= 28

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What is the answer to -10+2x+3(5 -x)=2(x -2)
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Let's solve this equation by step by step.

Layout equation.

−10+2x+3(5−x)=2(x−2)

Step 1: Simplify both sides of the equation.

−10+2x+3(5−x)=2(x−2)

−10+2x+(3)(5)+(3)(−x)=(2)(x)+(2)(−2)(Distribute)

−10+2x+15+−3x=2x+−4

(2x+−3x)+(−10+15)=2x−4(Combine Like Terms)

−x+5=2x−4

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Step 2: Subtract 2x from both sides.

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Step 4: Divide both sides by -3.

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So the answer is x=3.

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