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spin [16.1K]
3 years ago
15

Expand and simplify (3y - 2)(y + 3)

Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0

Answer:

(3y-2)(y+3)

Step-by-step explanation:

3y(y + 3) - 2(y + 3) \\ 3y {}^{2}  + 9y - 2y - 6 \\ 3y {}^{2}  + 7y - 6

OR

Vedmedyk [2.9K]3 years ago
5 0

Step-by-step explanation:

3y^2 + 7y - 6

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Can someone explain ?
Vika [28.1K]

Answer:

see below

Step-by-step explanation:

sqrt(90)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9*10)

sqrt(9) sqrt(10)

3*sqrt(10)

8 0
3 years ago
Amy bought a diamond ring for $6,000. If the value
Temka [501]

Answer: $13,308

5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308

Step-by-step explanation: amy likes cheap rings LOL

3 0
2 years ago
Read 2 more answers
A 6-foot tall man is standing in front of a school and notices his shadow measures 10 feet. At the same time, he notices the fla
irga5000 [103]

Answer:

The tall of the flag pole is 51 ft answer (A)

Step-by-step explanation:

∵ The tall of the man = 6 ft

∵ The his shadow = 10 ft

∵ The shadow of the flag pole = 85 ft

∵ Tall of the man/tall of the flag = shadow of the man/shadow

   of the flag

∴ 6/x = 10/85 ⇒ where x is the tall of the flag

∴ x = (6 × 85) ÷ 10 = 510 ÷ 10 = 51 ft

∴ The tall of the flag pole is 51 ft

4 0
3 years ago
Read 2 more answers
Solve, show all four steps.
Eva8 [605]
3x-6+10x+15=35
10x+3x=35-15+6
13x=26
x=2
4 0
2 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
2 years ago
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