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Given a piece wise<br> function f(x)={2x,x<1 5, x=1

bulgar [2K]

Pretty sure it’s 16TXI, hope this helps!

5 0

3 years ago

About 245 out of 500 students prefer walking instead of riding the bus to school. About what percent of the students prefer walk

nasty-shy [4]

Answer:

49 percent

Step-by-step explanation:

So convert the fraction into a percentage

245/500= 49%

7 0

3 years ago

What is the exact value of cos (67.5° )?

Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite

67.5

as an angle where the values of the six trigonometric functions are known divided by 2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

Change the

±

to

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify

√

1

+

cos

(

135

)

2

√

2

−

√

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

Decimal Form:

0.38268343

…

6 0

4 years ago

What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2

Oliga [24]

Answer:

The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)

<u>Solution:</u>

Given, equation is $y-9=-6(x-1)^{2}$

We have to find the vertex of the given equation.

When we observe the equation, it is a parabolic equation,

We know that, general form of a parabolic equation is $y-9=-6(x-1)^{2}$

Where, h and k are x, y co ordinates of the vertex of the parabola.

$\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9$

By comparing the above equation with general form of the parabola, we can conclude that,

a = -6, h = 1 and k = 9

Hence, the vertex of the parabola is (1, 9).

7 0

3 years ago

A carpenter has less than 120 min. to spend painting furniture each day. Today, he has spent 30.5 min. painting a desk. Now he w

FinnZ [79.3K]

Answer:

Hence, a carpenter can paint a maximum of 7 chairs.

Hence, option A is correct.

Step-by-step explanation:

A carpenter has less than 120 min. to spend painting furniture each day.

Today, he has spent 30.5 min. painting a desk.

Now he will paint x chairs, each of which takes 12.5 min.

i.e. he will take a total of 12.5x minutes in painting 'x' chairs.

Also total time spent on painting furniture each day will be equal to time spent on painting a desk and all of the chairs.

Hence,

30.5+12.5x<120 (since the total time he spends on painting is less than 120 mins.)

⇒ 12.5 x<120-30.5

⇒ 12.5 x<89.5

⇒ x<7.16 ( on dividing both side of the inequality with 12.5)

Hence, a carpenter can paint a maximum of 7 chairs.

6 0

3 years ago

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