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Helen [10]
3 years ago
13

Please help me with this

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

1          7

-120  -22

Step-by-step explanation:

you need to do top left top right bottom left bottom. in order to move x to the other side you need to subtract then divide by the negative.

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Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3
Nookie1986 [14]
\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=4.5\\
x=3
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\\\\\\
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8 0
3 years ago
The product of four and a number, decreased by seven
Salsk061 [2.6K]

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

  /4        /4

x - 7 = 25

  +7     +7

x = 32

7 0
3 years ago
Factor the following<br>(a²+b²)²-18(a²+b²)-88​
navik [9.2K]

Answer:

\rm\displaystyle(  {a}^{2}  +  {b}^{2} - 22)( {a}^{2}  +  {b}^{2}   +  4)

Step-by-step explanation:

we would like to factor the following:

\rm\displaystyle ( {a}^{2}  +  {b}^{2}  {)}^{2}  - 18( {a}^{2}  +  {b}^{2} ) - 88

let a²+b²=x

thus substitute:

\rm\displaystyle x {}^{2}  - 18x- 88

rewrite the middle term as 4x-22x:

\rm\displaystyle x^{2}  + 4x - 22x -  88

factor out x:

\rm\displaystyle x( x^{}  + 4)- 22x -  88

factor out -22:

\rm\displaystyle x( x^{}  + 4)- 22(x  +  4)

group:

\rm\displaystyle( x- 22)(x  +  4)

substitute back:

\rm\displaystyle(  {a}^{2}  +  {b}^{2} - 22)( {a}^{2}  +  {b}^{2}   +  4)

and we are done!

6 0
3 years ago
Read 2 more answers
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