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3 years ago

Can someone help me please???? I’m struggling..

Mathematics

1 answer:

gogolik [260]3 years ago

3 0

Answer: hey I have your answer it’s x<-3

Step-by-step explanation:

when dealing with it diving inequalities we ALWAYS flip the equation so it’s going to be....

original: 15<-5x

flipped: -5x>15

*now we just divide like normal so 15/-5 is -3

and finally we just add the same sign from the original equation therefor the final answer is x<-3

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Help me solve those show work 3(2a-5)=12-7a, 27=3c-3(6-2c)and 6c-8-2c=-16

Nadusha1986 [10]

1) 3(2a-5)=12-7a

First distribute the 3. This leaves you with 6a-15=12-7a.

Now, add 15 to both sides. This leaves you with 6a=27-7a.

Now, add 7a to both sides. This leaves you with 13a=27.

Now, you can finally divide 13a on both sides. This leaves you with a=27/13

2) 27=3c-3(6-2c)

First, distribute the 3.This leaves you with 27=3c-18+6c

Now, combine like terms/simplify. This leaves you with 27=9c-18.

Now, add 18 to both sides. This leaves you with 45=9c.

Now, you can finally divide 9 on both sides. This leaves you with 5=c.

Lastly, use the reflexive property. This leaves you with c=5.

3) 6c-8-2c=-16

First, combine your like terms. This leaves you with 4c-8=-16.

Now, add 8 to both sides. This leaves you with 4c=-8.

Now, divide 4 on both sides. This leaves you with c=-8/4.

Finally, you can simplify the fraction. This leaves you with c=-2.

Comment if you have any questions!

5 0

3 years ago

What statement true of 3.9=39 hundredths

My name is Ann [436]

You say it the same

7 0

3 years ago

Write the polynomial as a square of a binomial or as an expression opposite to a square of a binomial:

spayn [35]

Answer:

A) $0.25x^2-0.6xy+0.36y^2=\left(0.5x-0.6y\right)^2$

B) $-a^2+0.6a-0.09=-\left(10a-3\right)^2$

C) $\frac{9a^4}{16}+a^3+\frac{4a^2}{9}=a^2(\left(9a+8\right)^2)$

D) $-16m^2-24mn -9n^2=-\left(4m+3n\right)^2$

Step-by-step explanation:

The square of a binomial is the sum of: the square of the first terms, twice the product of the two terms, and the square of the last term.

$(a+b)^2 = a^2 + 2ab + b^2\\\\(a-b)^2 = a^2 - 2ab + b^2$

To find the square of the binomial of the following polynomials you must:

A) $0.25x^2-0.6xy+0.36y^2$

Apply radical rule: $a=\left(\sqrt{a}\right)^2$

$0.25=\left(\sqrt{0.25}\right)^2\\0.36=\left(\sqrt{0.36}\right)^2$

$\left(\sqrt{0.25}\right)^2x^2-0.6xy+\left(\sqrt{0.36}\right)^2y^2$

Apply exponent rule: $a^mb^m=\left(ab\right)^m$

$\left(\sqrt{0.25}\right)^2x^2=\left(\sqrt{0.25}x\right)^2\\\left(\sqrt{0.36}\right)^2y^2=\left(\sqrt{0.36}y\right)^2$

$\left(\sqrt{0.25}x\right)^2-0.6xy+\left(\sqrt{0.36}y\right)^2$

Rewrite $0.6xy$ as $2\cdot \:0.5x\cdot \:0.6y$

$\left(\sqrt{0.25}x\right)^2-2\cdot \:0.5x\cdot \:0.6y+\left(\sqrt{0.36}y\right)^2$

Apply perfect square formula: $\left(a-b\right)^2=a^2-2ab+b^2$

$a=0.5x,\:b=0.6y$

$\left(\sqrt{0.25}x\right)^2-2\cdot \:0.5x\cdot \:0.6y+\left(\sqrt{0.36}y\right)^2=\left(0.5x-0.6y\right)^2$

B) $-a^2+0.6a-0.09$

Multiply both sides by 100

$-a^2\cdot \:100+0.6a\cdot \:100-0.09\cdot \:100\\-100a^2+60a-9$

Factor out common term -1

$-\left(100a^2-60a+9\right)$

Break the expression into groups and factor out common terms

$-(\left(100a^2-30a\right)+\left(-30a+9\right))\\-(10a\left(10a-3\right)-3\left(10a-3\right))\\-(\left(10a-3\right)\left(10a-3\right))\\-\left(10a-3\right)^2$

C) $\frac{9a^4}{16}+a^3+\frac{4a^2}{9}$

Apply exponent rule: $a^{b+c}=a^ba^c$

$a^3=aa^2\\a^4=a^2a^2$

$\frac{9a^2a^2}{16}+aa^2+\frac{4a^2}{9}$

Factor out common term $a^2$

$a^2\left(\frac{9a^2}{16}+a+\frac{4}{9}\right)$

Factor $\frac{9a^2}{16}+a+\frac{4}{9}\right$

Find the Least Common Multiplier (LCM) of 16, 9 which is 144.

Multiply by LCM

$\frac{9a^2}{16}\cdot \:144+a\cdot \:144+\frac{4}{9}\cdot \:144\\81a^2+144a+64$

$81a^2+144a+64=\left(9a\right)^2+2\cdot \:9a\cdot \:8+8^2$

Apply perfect square formula: $\left(a+b\right)^2=a^2+2ab+b^2$

$a=9a,\:b=8$

$81a^2+144a+64=\left(9a+8\right)^2$

$\frac{9a^4}{16}+a^3+\frac{4a^2}{9}=a^2(\left(9a+8\right)^2)$

D) $-16m^2-24mn -9n^2$

Factor out common term -1

$-\left(16m^2+24mn+9n^2\right)$

Break the expression into groups and factor out common terms

$\left(16m^2+12mn\right)+\left(12mn+9n^2\right)\\4m\left(4m+3n\right)+3n\left(4m+3n\right)\\\left(4m+3n\right)\left(4m+3n\right)\\-\left(4m+3n\right)\left(4m+3n\right)\\-\left(4m+3n\right)^2$

$-16m^2-24mn -9n^2=-\left(4m+3n\right)^2$

3 0

4 years ago

How can you determine the number of solutions for an equation?

quester [9]

When working out an equation, if the result comes out like : x = 2, or y = 4.....a variable equal to a number, then there is 1 solution

if the result comes out like : 0 = 4, or 2 = 6...no variable and an incorrect result, then the equation has no solutions because ur lines are parallel.

if the result comes out like : 2 = 2 or 5 = 5...no variable and a true statement, then there will be infinite solutions because ur lines are coincident...they are the same line

7 0

3 years ago

Which is the equation of a line that has a slope of 1/2 and passes through point 0 , -2

S_A_V [24]

The general equation of a line is y = mx + b
m is given as 1/2, so we have:
$y=\frac{1}{2}x+b$
Plugging in the given values of x and y, we get:
-2 = 0 + b
Therefore b = -2, and the answer is:
$y=\frac{1}{2}x-2$

3 0

4 years ago