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nalin [4]
2 years ago
6

Simplify the expression: 1/2 (6y – 8) – (12y – 16) + 7

Mathematics
2 answers:
sergejj [24]2 years ago
5 0
Answer: -9y+19

Explanation:

Factor 2 from the expression

When there is a in front of an expression in parentheses, change the sign of each term in the expression

Reduce the numbers with the greatest common factor 2

Remove unnecessary parentheses

Combine like terms

Calculate the sum or difference
Dennis_Churaev [7]2 years ago
3 0

Answer:

-9y+19

Step-by-step explanation:

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Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have left
gregori [183]

Answer:

$527

Step-by-step explanation:

Find how much she has left by subtracting 287 from 814:

814 - 287

= 527

So, she has $527 left in her account

7 0
3 years ago
Find a unit vector that has the same direction as the vector a and the opposite direction of the vector
nasty-shy [4]
The unit vector is given by the following formula:
 a '= (a) / (lal)
 Where,
 a: vector a
 lal: Vector module a
 We are looking for the module:
 lal = root ((- 15) ^ 2 + (8) ^ 2)
 lal = 17
 Same direction:
 a = -15i + 8j
 The unit vector is:
 a '= (1/17) * (- 15i + 8j)
 Opposite direction:
 a = 15i - 8j
 The unit vector is:
 a '= (1/17) * (15i - 8j)
 Answer:
 
a unit vector that has the same direction as the vector a is:
 
a '= (1/17) * (- 15i + 8j)
 
a unit vector that has the opposite direction of the vector a is:
 
a '= (1/17) * (15i - 8j)
5 0
3 years ago
Plz help me with this ASAP
VLD [36.1K]

Answer:

Step-by-step explanation:

plug all in

1) 0 when x=0

2) 1*6-1²=6-1=5

3) 6*2-2²=12-4=8

4)6*3-3²=18-9=9

5) 6*4-4²=24-16=8

6)6*5-5²=30-25=5

7) 6*6-6²=36-36=0

6 0
3 years ago
Factor the following expression using the GCF: 10ab + 20.
Lostsunrise [7]
The first one is 10ab + 20
3 0
3 years ago
Read 2 more answers
Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = -x.
andre [41]

Answer:

90⁰

Step-by-step explanation:

y=cosx

y'= -sinx

eqñ of tangent is y=-x

slope of tangent =-1

we know...

slope of tangent = y' or derivative of y

-sin x = -1

sin x= 1

x = 90⁰

7 0
3 years ago
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