MATHEMATICS HIGH SCHOOL

Factor completely 10xy + 3y + 20ax + 6a.(10x − 3)(y − 2a)

(10x − 3)(y + 2a)

(10x + 3)(y + 2a)

(10x + 3)(y − 2a)

Answers

Answer 1

Answer:

Answer:

Option 3 is correct.

Step-by-step explanation:

The given expression is

$10xy+3y+20ax+6a$

This expression can be written as

$(10xy+3y)+(20ax+6a)$

Take out the common factors from each parenthesis.

$y(10x+3)+2a(10x+3)$

Now, take out the common factor (10x+3).

$(10x+3)(y+2a)$

Therefore option 3 is correct.

Answer 2

Answer: 10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)=
(y+2a)(10x+3)

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If 2x = 5, 3y = 4, and 4z = 3, what is the value of 24xyz ?

Answers

Replacing in the equation;
24xyz
=24 *(5/2)*(4/3)*(3/4)
=24* $(60)/(24)$
=60

it is 60
because 2x×3y×4z=5×4×3 24xyz=60

Identify the mode in the following set of numbers: 2, 5, 7, 9, 15, 14, 12, 8, 4 ,2.a. 2,
b. 7,
c. 8,
d. 15

Answers

the mode in a set is a number that appears the most. so the answer is a.2

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.

Answers

m∠A + m∠B = 90
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
5x - 10 = 90
+ 10 + 10
5x = 100
5 5
x = 20

m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65

m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25

m∠A + m∠B = 90

$(3x + 5) + (2x - 15) = 90$

$(3x + 2x) + (5 - 15) = 90$

$5x - 10 = 90$

$5x - 10 +10 = 90+10$

$5x = 100$

$5x/5 = 100/5$ $Divide \ both \ sides \ by \ 5$

$x = 20$    $Solutions$

m∠A = $3x + 5$    $(x=20)$

m∠A = $3(20) + 5$ $Substitute \ x \ for \ 20$

m∠A = $60 + 5$    $Simplify$

m∠A = $65$

m∠B = $2x - 15$

m∠B = $2(20) - 15$

m∠B = $40 - 15$

m∠B = $25$

Find the value of t in the equation t+5+3t=1

Answers

$t+5+3t=1\nt+3t+5=1\n4t+5=1\n4t+5-5=1-5\n4t=1-5\n4t =-4\n\n\boxed{\bf{t=-1}}$

First combine like terms. 1t+3t=4t
5+4t=1
Now subtract 5 from both sides.
4t=-4
Now divide both sides by 4.
t=-1
To check, let's plug in -1 for t.
-1+5+3*-1=
3*-1=-3
-1+5+-3=1
t=-1

What does square root x^16 equal?

Answers

sqrt(x^16) is x^8.
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the square root is of 16 is 4, not 8.

While your statement X*X*X*X*X*X*X*X * X*X*X*X*X*X*X*X does equal x^16, that is not what the question is asking.

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