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alexgriva [62]
3 years ago
9

HELP ME!!! ITS DUE TOMMOROW!! Find the largest value of $r$ such that $6r^2+7r+8=6$.

Mathematics
2 answers:
lozanna [386]3 years ago
6 0
6r^{2}+7r+8=6\\\\6r^{2}+7r+2=0\\\\(3x+2)(2x+1)=0\\\\ 3x+2=0\\\\3x=-2\\\\x=\frac{-2}{3}\\\\2x+1=0\\\\2x=-1\\\\x=\frac{-1}{2}

Since r = -2/3 and r = -1/2, the answer is -1/2 because it is larger than -2/3.
Alex787 [66]3 years ago
4 0
First you need to see that this is a quadratic. I need.to put all of the values on one side of equation to see what I got.
6r^2 + 7r + 8 = 6
6r^2 + 7r + 2 = 0

Now this one is difficult to factor so i will use quadratic equation:
[-b (+-) sqrt (b^2 - 4ac)] / (2a)

we know that a b and c are in a quadratic at these positions.
ax^2 + bx + c

so
[-7 (+-) sqrt (7^2 -(4)(6)(2)] / (2) (6)
[-7 (+-) sqrt (49 - 48)] / 12
[-7 (+-) 1] /12

split into the + and - for 2 answers
(-7 + 1) / 12
-6/12
-1/2

And
(-7 -1) /12
-8 / 12
-2/3

those are.the 2 answers

But but it says largest so -1/2
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Pls <br> helppp<br><br><br> thanks!!!
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Answer:

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3 0
2 years ago
Which pair of numbers is relatively prime
Anna007 [38]
Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).

A.
57=3\cdot19\\&#10;96=2^5\cdot3
Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.

143=11\cdot13\\&#10;323=17\cdot19

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5 0
3 years ago
Read 2 more answers
What is the graph of linear inequality 2y&gt;x-2
pickupchik [31]

Answer:

Please refer to the attached graph for the graph of linear inequality:

2y>x-2

Step-by-step explanation:

Method to draw graph of inequality:

<u>1. First of all replace the inequality sign with equality.</u>

Now the equation is:

2y=x-2

Now, find point and plot them.

Let us put x = 0, we get y = -1. So one point is <em>(0, -1)</em>

Let us put y = 0, we get x = 2. So one point is <em>(2,0)</em>

Now, plot both the point and join with straight line on xy coordinate axis.

2. Now, try to find a random point and put in the inequality.

If the point satisfies the inequality shade the region moving from the line towards that point.

For example:

Taking a point (4, 2)

Putting in the inequality:

8 > 2-2 \\8>0

So, (4, 2) satisfies the inequality.

Now, shade the region moving from the line towards the point (4,2).

We get the shaded region as shown in the attached figure in the answer area.

3 0
3 years ago
2 PUIHS
tatiyna

Answer:

45%

Step-by-step explanation:

3 0
3 years ago
Find the next three terms in the sequence.
Lynna [10]
It would be OD because it is going down by 8 each time and you can see that D goes down by 8 each time
5 0
3 years ago
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