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2 years ago

Expand and simplify2(2y + 1) + 2(5y - 3)

Mathematics

1 answer:

GarryVolchara [31]2 years ago

7 0

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

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3b-14/3b = 5b+2/3b <br> b= ?

WINSTONCH [101]

First of all, observe that all fractions exist as long as b is not zero.

Multiply both numerator and denominator of the first fraction by 3:

$\dfrac{3b-15}{3b}+\dfrac{1}{3b}=\dfrac{5b+2}{3b}$

Now all fractions have the same denominator. Under the assumption that b is not zero, multiply both sides by 3b:

$3b-15+1=5b+2 \iff 3b-14=5b+2$

Subtract 3b from both sides:

$-14=2b+2$

Subtract 2 from both sides:

$-16=2b$

Divide both sides by 2:

$b=-8$

5 0

2 years ago

Read 2 more answers

Solve the inequality |x| < 5. {x|-5 < x < 5} {x|x < -5 ∪ x > 5} {x|x -5 ∪ x < 5}

sesenic [268]

ANSWER

The correct answer is A

{ $x|-5$ }

<u>EXPLANATION</u>

$|x|$

This implies that

$x$

We solve the compound inequality to obtain,

$x-5$

Remember that, dividing through by negative 1 reverses the inequality sign

The solution set is

{ $x|-5$ }

8 0

3 years ago

Awsner this with step by step (can use calculator)

ss7ja [257]

Answer:

$x = 9.2$

$x =22.0$

$x = 8.7$

Step-by-step explanation:

Required

Find x

(a)

x is calculated using tangent formula

$\tan(57) = \frac{x}{6}$

Make x the subject

$x = 6 * \tan(57)$

$x = 6 * 1.5399$

$x = 9.2394$

$x = 9.2$ --- approximated

(b):

x is calculated using cosine formula

$\cos(60) = \frac{11}{x}$

Make x the subject

$x = \frac{11}{\cos(60)}$

$x = \frac{11}{0.5}$

$x =22.0$

(c):

x is calculated using sine formula

$\sin(60) = \frac{x}{10}$

Make x the subject

$x = 10 * \sin(60)$

$x = 10 * 0.8660$

$x = 8.660$

$x = 8.7$ --- approximated

3 0

2 years ago

seal had a balance of negative $4 in his saving account after making a deposit he has $25 in his account what is the overall cha

siniylev [52]

He deposited $29, so a $29 dollar difference

6 0

3 years ago

Question 1(Multiple Choice Worth 1 points)

REY [17]

The correct answer is d15

3 0

3 years ago

Expand and simplify2(2y + 1) + 2(5y - 3)​

Expand and simplify2(2y + 1) + 2(5y - 3)