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3 years ago

What property is illustrated? (4•-7) •5 = 4 (-7•5)

Mathematics

1 answer:

nordsb [41]3 years ago

8 0

The associative property because you are moving the parentheses

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Which number is closest to 66 (squared)?<br> A) 8.8<br> B) 8.1<br> C 8.2<br> D) 9.1

Hoochie [10]

Answer:

sq rt of 66 is 8.12 so 8.1 closest

8 0

3 years ago

Read 2 more answers

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

3 years ago

Read 2 more answers

Enter the y coordinate of the solution to this system of equations.

riadik2000 [5.3K]

-x-y=1
-y=1+x
y=-1-x

-1-x=-2x+9
-x=-2x+10
x=10

y=-1-10
y=-11

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28y%20-%201%29%28y%20%2B%203%29" id="TexFormula1" title="(y - 1)(y + 3)" alt="(y - 1)(y + 3)"

m_a_m_a [10]

Sense there's only a y, you'd assume y is 1 or 1y.

you'd make the 1 a negative 1 to get rid of the subtraction sign.

you'd add together the 2 ys making it 2y. then add -1 + 3, which would be 2.

so, the answer would be 2y + 2.

7 0

3 years ago

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

miv72 [106K]

Answer:

$7.56

Step-by-step explanation:

They sell it in $2.25 per kg

Hamburger: cost

1 kg : 2.25

3.4 : 7.56

1 x 3.4= 3.4

so, 2.25 x 3.4= 7.56

6 0

3 years ago