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2 years ago

What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

6 0

Answer:

Step-by-step explanation:

Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.

original function x.

1. (x-7): horizontal shift of 7 units to the right.

2. 1/3(x-7): Horizontal stretching by factor 1/3.

3.-1/3(x-7): Reflection with respect the x-axis

4.-1/3(x-7)+2: Vertical shift of two units up.

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Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the

Gala2k [10]

Answer:

$9\dfrac{1}{2}$

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = $4\dfrac{2}{3}$

Friend = $5\dfrac{5}{6}$

We add them together to find out how many pounds of apples they currently have.

Total Pounds = $4\dfrac{2}{3}+5\dfrac{5}{6}$

Just to make the equation clearer, we separate the whole numbers from the fractions.

$=4+5+\dfrac{2}{3}+\dfrac{5}{6}$

$=9+\dfrac{2}{3}+\dfrac{5}{6}$

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the $/dfrac{2}{3}$ into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

$\dfrac{2*2}{3*2}=\dfrac{4}{6}$

So now we have:

$=9+\dfrac{4}{6}+\dfrac{5}{6}$

$=9+\dfrac{9}{6}or1\dfrac{1}{2}$

$Total Pounds = 10\dfrac{1}{2}$

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

$20-10\dfrac{1}{2}$

$=9\dfrac{1}{2}$

So Kimane and his friend still need to get $9\dfrac{1}{2}$ more pounds of apples to get 20 pounds of apples.

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2 years ago

- Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?

katovenus [111]

Answer:

Step-by-step explanation:

4.56 $

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3 years ago

Read 2 more answers

Pls answer clearly thank you will be marking smartest correct answer!

balandron [24]

Number 9 is no because if you were to divide that it be a decimal and a decimal is an irrational number.

Number 10 is yes. When divide 2 by 5 you get 0.4 which is a terminating number because it never ends

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2 years ago

Which are rational and irrational? Thanks in advance :)

DochEvi [55]

Answer:

$3\frac{1}{2}-rational$

$\pi -irrational$

$-\frac{2}{3}-rational$

$\sqrt{16} -rational$

$\sqrt{3} -irrational$

$18-rational$

$0.625-rational$

$0.987987987...-rational$

Step-by-step explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers $\frac{a}{b}$ , $b\neq 0$

-include terminating decimals. For example, $\frac{1}{8}=0.125$

-include repeating decimals. For example, $\frac{1}{3} =0.33333....$

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example, $\sqrt{2}=1.414213....$

-cannot be written as quotients of integers

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3 years ago

Please help me find the measure of the arc or angle indicated. (Angles on circles)

nata0808 [166]

Answer: 9. 54; 10. 220; 11. 71; 12. 262

Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure

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2 years ago