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Nataly [62]
3 years ago
7

SHORT ANSWER

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0
Gradient of the line formed;
m=\frac{change in y}{change in x}
m=\frac{-2-1}{6--5}
m=\frac{-3}{11}
y=mx+c
y=\frac{-3}{11} x+c
Replacing for x and y;
1=-3/11*(-5)+c
1=15/11+c
c=1-15/11
c=-4/11
y=\frac{-3}{11} x- \frac{4}{11}

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Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
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Answer:
A=the outcome is odd, B=the outcome is even
Is mutually exclusive because you can't have a number that is even and odd at the same time.
Hope this helps :)
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Solve for x. 6-2^4x = 21<br> OA. 0.24<br> OB. 0.53<br> OC. 0.45<br> OD. 0.06
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5 0
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Is 2 a solution to 4x - 3​
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Answer:

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8 0
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Evaluate the following expression for w=4. w^-3 =
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W^-3
(4)^-3 = 1/(4)^3
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6 0
3 years ago
What is the sum of the expressions (2/3x −7)+(1/3 x+5)?
Anit [1.1K]
The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
6 0
2 years ago
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