Please help ill mark

Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -

Readme [11.4K]

Answer:

y = 3/4x - 6 1/4

Step-by-step explanation:

I hope that the slope 3 4 - - means 3/4

Slope = 3/4

Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"

y = mx + b

-7 = 3/4(-1) + b

-7 = -3/4 + b

-7 + 3/4 = b 3/4 as a decimal = .75

-7 + .75 = b

-6.25 = b

The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4

8 0

3 years ago

Helpppppp plsssssssss

WINSTONCH [101]

Answer:

Option D The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values is correct option.

Step-by-step explanation:

At x-axis we have number of hours worked and y-axis represents earnings in dollars.

We can make the table:

Number of hours worked (x) earnings in dollars (y)

1 12

2 24

3 36

4 48

5 60

Now, we need to find the pattern.

If we add 1+ 11 we get 12, but if we add 2+ 11 we get 13 and not 24 so, the pattern is not additive.

Now, if we multiply 1 by 12 (1 x 12) we get 12,

then 2 x 12 = 24

3 x 12 = 36

4 x 12 = 48

and 5 x 12 = 60

The same number if multiplied with x-axis we get y-axis.

So, the pattern is multiplicative. and we are multiplying 12 with the number of hours worked, so the correct option is option D.

Option D The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values is correct option.

5 0

3 years ago

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

How many four-digit whole numbers contain the digit pair "17" without other intervening digits? (Note that 2017 is one such exam

Elina [12.6K]

Answer:

There are 209 4-digit nu numbers with 17 as consecutive digits

Step-by-step explanation:

17xx xx represent 00 through 99, a set of {100} members.

y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}

ww17 which includes 10 thru 99, a set of {90}

Add 100+90+10+9 to get 209 possible combinations.

5 0

3 years ago

What's 9 + (28 − 2) ÷ 0.2

tekilochka [14]

Answer:i think is ((((139)))))

Step-by-step explanation:

I hope it helps you

6 0

3 years ago