Plot the following points on the grid and calculate the slope of the line that passes through them (-2, -3) and (4, 5): a) 1 b) 2 c) 3 d) 4"

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I need help with this question! Will mark brainliest :)

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Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

Solve the inequality
2(3x-2)>_22

Answers

2(3x - 2) > 22

Expand (eliminate parentheses on) the left side:

6x - 4 > 22

Add 4 to each side:

6x > 26

Divide each side by 6 :

x > 13/3

$2(3x-2) \geq22\ \ \ \ /:2\n\n3x-2\geq11\ \ \ /+2\n\n3x\geq13\ \ \ \ /:3\n\nx\geq4(1)/(3)\n\nx\in\left<4(1)/(3);\ \infty\left)$

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$2(3x-2) > 22\ \ \ \ /:2\n\n3x-2 > 11\ \ \ /+2\n\n3x > 13\ \ \ \ /:3\n\nx > 4(1)/(3)\n\nx\in\left(4(1)/(3);\ \infty\left)$

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$2(3x-2) > -22\ \ \ \ /:2\n\n3x-2 > -11\ \ \ \ /+2\n\n3x > -9\ \ \ \ /:3\n\nx > -3\n\nx\in(-3;\ \infty)$

Which of these numbers is between 1 and 5/6?
A. 6/7
B. 4/5
C. 4/7
D. 11/6

Answers

The number that lies between the points 1 and 5/6 is 4/5

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The proper fraction 5/6=0.83

Now 4/5=0.8

6/7=0.85

11/6=1.83

4/7=0.57

Thus 4/5 must lie between 5/6 & 1

Hence, The correct option is B) 1/5 as no other option lies in the required interval.

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A) 6/7. hope this helps ya

What is an explicit equation?

Answers

An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.

Hope this made sense.

Which sequence is geometric and has 14 as its fifth term and 12 as the common ratio?

Answers

geometric sequence is
an=a1(r)^(n-1)
an=nth erm
a1=first term
r=common ratio

5th term=14
a5=a1(12)^(5-1)=15

a1(12)^4=15
a1(20736)=15
divide both sides by 20736
a1=15/20736=5/6912
geometric sequence is
an=(5/6912)(12)^(n-1)

What is the sum of the geometric series in which a1 = −2, r = 3, and an = −1,458?Sn = −2,186
Sn = −728
Sn = 2,186
Sn = 728

Answers

Sn= -2186
Detailed solution is attached

Final answer:

The sum of a geometric series is calculated using the relevant formula from a1, r, and an. The unknown n can be calculated from the given an, a1 and r. These are then substituted into the sum formula.

Explanation:

The given is a geometric series where first term a1 = -2, common ratio r = 3, and last term an = -1458. The sum of a geometric series, Sn, can be calculated using the formula $Sn = a1 * (1 - r^n) / (1 - r)$ , where n is the number of terms in the series. However, in this case, we don't know n directly, but we do know the nth term (an) using the formula $an = a1 * r^(n-1)$ , you can rearrange to solve for n: n = log((an/a1))/log(r) + 1. Plug this value of n and the given a1, r into the sum formula to get the sum.

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PLEASE HELP ME WITH MY MATHS HOMEWORK BELOWif you answer it correctly i will rate you 5 stars and brainiest