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olga_2 [115]
4 years ago
5

Simplify.

Mathematics
1 answer:
ira [324]4 years ago
7 0
(-3ab^{3})^{4}
(-3ab^{3})(-3ab^{3})(-3ab^{3})(-3ab^{3})
(9a^{2}b^{6})(9a^2b^{6})
81a^{4}b^{12}

(y^{3})^{5} * y^{4}
y^{15} * y^{4}
y^{19}

25, 10, 4, 1.6

Function: y = 0.4x
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Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay
mestny [16]
Retail Price= $40

Price after 20% discount 

20/100 x 40 = $8

40-8= $32 after discount

tax paid on $32 shirt = 5/100 x32 = $1.6

she paid  $32+$1.6= $33.6 

4 0
3 years ago
Which is a simplified form of the expression 2(5x + 1) – 3x?
Marta_Voda [28]
7x + 2 is the correct answer
6 0
3 years ago
Read 2 more answers
When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation
Radda [10]
<h3><u>Question:</u></h3>

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

xpmy=8

xy/pm=8

xpm/y=0.5

x/pmy=0.5

<h3><u>Answer:</u></h3>

The equation models the situation is \frac{x y}{p m}=8

<h3><u>Solution:</u></h3>

Given that  

x is 2, y is 4, p is 0.5, and m is 2

x varies directly with the product of p and m

x varies inversely with y

\text {Product of } p \text { and } m=p \times m=p m

x varies directly with the product of p and m

=>x \propto p m ---- eqn 1

As x varies inversely with y,

=>x \propto \frac{1}{y}   ----- eqn 2

From (1) and 2, we can say that

x \propto \frac{p m}{y}

\Rightarrow x=k \frac{p m}{y}

where k is constant of proportionality

\Rightarrow \frac{x y}{p m}=k   ---- eqn 3

On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get

\frac{x y}{p m}=\frac{2 \times 4}{0.5 \times 2}=k

\begin{array}{l}{\frac{x y}{p m}=\frac{8}{1}=k} \\\\ {=>\frac{x y}{p m}=8}\end{array}

Hence correct option is second that is \frac{x y}{p m}=8

8 0
3 years ago
Read 2 more answers
Can someone please help me on my math please
enot [183]

Answer:

g(x)=(x+5)^2

Step-by-step explanation:

5 0
3 years ago
Graph a line Slope of -5 and contains the point -3,-4
Papessa [141]

Answer:

y = -5x - 19

Step-by-step explanation:

Find the y intercept using slope intercept form [ y = mx + b ]

y = -5x + b

-4 = -5(-3) + b

-4 = 15 + b

-19 = b

y = -5x - 19

Best of Luck!

8 0
3 years ago
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