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3 years ago

What are the domain and range of the function fx)=-3(x-5)^2 + 4?

2 answers:

7 0

Domain has to do with x, the domain is - infinity to + infinity... for range, the highest value this function can take is 4, when x equals 5

Sholpan [36]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

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the sum of three number is 202, the second is three more than the first number, the third number is three times the second numbe

sertanlavr [38]

Answer:

x = 38

y = 41

z = 123

Step-by-step explanation:

x + y + z = =202

y = x + 3

z = 3y = 3(x + 3) = 3x + 9

x + y + z = x + x + 3 + 3x + 9 = 5x + 12 = 202

5x + 12 = 202

5x = 190

x = 38

y = x + 3 = 41

z = 3y = 123

4 0

3 years ago

Rowan reads at a constant rate of 1.5 pages per minute and has already

saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

A linear function is modeled by:

$y = ax + b$

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

He has already read 20 pages, hence the y-intercept is $b = 20$ .

He reads 1.5 pages per minute, hence the slope is $a = 1.5$

Then:

$y_R = 1.5x + 20$

For Kennedy, we have that:

He has already read 25 pages, hence the y-intercept is $b = 25$ .

He reads 1 page per minute, hence the slope is $a = 1$

Then:

$y_K = x + 25$

They will have read the same number of pages after x minutes, for which:

$y_R = y_K$

Then:

$1.5x + 20 = x + 25$

$0.5x = 5$

$x = \frac{5}{0.5}$

$x = 10$

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0

3 years ago

Find the area of the shaded triangle

Ivanshal [37]

Answer:

18 square units

Step-by-step explanation:

The square shows you the width and height of the triangle.

The area of any triangle if equal to 0.5 * width * height, so:

0.5 * 6 * 6 = 3 * 6 = 18 square units.

6 0

3 years ago

Square root of 3x+7=x-1

padilas [110]

Answer:

you can't find the square root of a negative

Step-by-step explanation:

7 0

3 years ago

Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.) 13x^2 +1 = -10

12345 [234]

Step-by-step explanation:

The given quadratic equation is :

$13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0$

The formula to solve a quadratic equation is :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Put a = 13, b = 10 and c = 1

So,

$x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651$

Hence, this is the required solution.

3 0

3 years ago