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Reptile [31]
2 years ago
15

Solve for q. 5q + 2p + 4 = 3q – 8​

Mathematics
2 answers:
Sergio039 [100]2 years ago
7 0

q =  - p - 6

5q + 2p + 4 - 3q =  - 8 \\ 2q + 2p + 4 =  - 8 \\ 2q + 4 =  - 8 - 2p \\ 2q =  - 8 - 2p - 4 \\ 2q =  - 12  -  2p \\  \frac{2q}{2}  =  \frac{ - 2p - 12}{2}  \\ q =  \frac{ - 2p - 12}{2}  \\ q =  - p - 6

bulgar [2K]2 years ago
5 0

Answer:

q = -p-6

Step-by-step explanation:

=> 5q+2p+4 = 3q-8

(Combining like terms)

=>5q-3q = -2p-8-4

=> 2q = -2p -12

=> 2q = 2(-p-6)

Dividing both sides by 2

=> q = -p-6

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A line passes through the point (-1,-5) and has a slope of -5.
Anna71 [15]
<h3>hello!</h3>

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

\boxed{y-y1=m(x-x1)}

y1 = -5

m=-5

x1=-1

\boxed{y-(-5)=-5(x-(-1)}

\boxed{y+5=-5(x+1)}

Convert to slope-intercept:-

\boxed{y+5=-5x-5}

\boxed{y=-5x-5-5}

Finally,

\bigstar{\boxed{\pmb{y=-5x-10}}

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

5 0
1 year ago
Solve the following inequality.
Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>

<em><u /></em>\frac{m - 2}{3} < -2 \\

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

\frac{m - 2}{3} < -2 \\

  • Multiply both sides by 3

\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6

  • Add 2 to both sides

m - 2 + 2 < -6 + 2\\\\m < -4

Or

4m + 3 > 15

  • Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

\frac{4m}{4}  > \frac{12}{4} \\\\

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/24434501

8 0
2 years ago
Which of the following statistics about college graduates is not true?
Crazy boy [7]
The statistic about college graduates which is not true is that C. they can earn nearly double the income of high school graduates.
They cannot earn that much really - even though they have a college degree, there are many jobs that don't require a degree which also pay a lot.
6 0
2 years ago
Read 2 more answers
As part of a drug trial, a survey was done to gather information about the participants' experiences with side effects. Here are
Paraphin [41]

The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370

We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :

n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)

271 = 36 + 86 + 23 + x

271 = 145 + x

x = 271 - 145

x = 126

  • n(DnAnF) = 126

<u>Number who has </u><u>atleast one of the three</u><u> side effects can be expressed thus</u> :

n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585

36 + 23 + 62 + 86 + 126 + 93 + n(FnA) only = 585

  • n(FnA only) = 585 - 426 = 159

<u>Number of participants</u><u> who has </u><u>anxiety</u><u> can be calculated thus</u> :

n(DnAnF) + (DnA only) + n(FnA only) + n(A only)

126 + 23 + 159 + 62 = 370 participants

Therefore, 370 of the total participants has Anxiety.

Learn more : brainly.com/question/12570490

8 0
2 years ago
What is the simplified form of the expression k^3(k7/5)^-5
saveliy_v [14]
The expression can be simplified as:

k^3(k7/5)^-5
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(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
4 0
2 years ago
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