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2 years ago

I only need help with #23

Mathematics

1 answer:

Anton [14]2 years ago

6 0

Answer:

23. y = 2x - 3

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

Using coordiates (2,1) and and (1, -1)

m = (-1 - 1)/(1 - 2) = (-2)/(-1) = 2

then y = mx + b

Using coordinates (1, -1) then

-1 = 2(1) + b

-1 = 2 + b

b = - 3

so y = 2x - 3

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Which one is the right answer

Jobisdone [24]

Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.

Step-by-step explanation:

A function g is the inverse of function f if

f(g(x)) = g(f(x))=x

Given: f(x)= x+4 , g(x) = x-4

f(g(x)) = f(x+4) = (x-4)+4

= x-4+4 = x

i.e. f(g(x)) =x

g(f(x))= g(x-4) = (x-4)+4 =x

i.e. g(f(x))=x

Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.

8 0

3 years ago

156 is what percent of 60

sweet-ann [11.9K]

156 is 260% of 60.
I hope this helps! :)

8 0

4 years ago

Degree 3 polynomial with zeros -7, 3i, and -3i

d1i1m1o1n [39]

A polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

In this question, we need to find the polynomial whose degree is 3 polynomial and zeros are -7, 3i, and -3i

The zeros of the required polynomial = -7, 3i, and -3i

This means, the roots of the polynomial = (x + 7), (x - 3i) and (x + 3i)

We know that in complex numbers, i = √-1

So, 3i = 3√-1

= √-9

i.e., the roots of the polynomial are (x + 7), (x - √-9) and (x + √-9)

And the polynomial would be,

(x + 7)(x - √-9)(x + √-9)

= (x + 7)(x² - (√-9)²)

= (x + 7)(x² - (-9))

= (x + 7)(x² + 9)

= x³+ 7x² - 9x - 63

Therefore, a polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

Learn more about the polynomial here:

brainly.com/question/14344049

#SPJ1

4 0

1 year ago

Please help. I’ll mark you as brainliest if correct!

tatyana61 [14]

Answer:

Dave worked 60 hours.

Step-by-step explanation:

Let's assume that Dave worked a total of $x$ hours.

Since Kate worked 5 hours less than Dave: $x-5$

And Sarah worked 10 more hours than Dave: $x+10$

Combined, the three siblings worked 185 hours.

$(x)+(x+10)+(x-5) = 185\\x+x+10+x-5 = 185\\3x + 5 =185\\3x = 185 - 5\\3x = 180\\x = 180 \div 3\\x = 60$

Dave worked 60 hours,

Kate worked 55 hours and Sarah worked 70 hours.

To check:

55 + 60 + 70 = 185 hours

6 0

3 years ago

What is the range of the shoe sizes?

maria [59]

Answer:

The answer will be 9 and the frequency will be 18

3 0

3 years ago