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3 years ago

What solution of the inequality -1<4+5x<9

1 answer:

4 0

$-1\ \textless \ 4+5x\ \textless \ 9 \\ \\ -1 - 4 \ \textless \ 5x \ \textless \ 9 - 4 \ / \ subtract \ 4 \ from \ equation \\ \\ -5 \ \textless \ 5x \ \textless \ 5 \ / \ simplify \\ \\ - \frac{5}{5} \ \textless \ x \ \textless \ 1 \ / \ divide \ equation \ by \ 5 \\ \\ -1 \ \textless \ x \ \textless \ 1 \ / \ simplify \\ \\$

Answer: -1 < x < 1

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What can 6/9 be Simplified to

hoa [83]

Answer:

2/3

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please need help in these 3 algebra questions !!!!

Marysya12 [62]

Answer:

$\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}$

Step-by-step explanation:

$7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1$

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$11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3$

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3 years ago

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Dvinal [7]

Answer:

$\dfrac{A}{x}+\dfrac{B}{x-6}$

Step-by-step explanation:

Given the function $\dfrac{37}{x(x-6)}$ , to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

$= \dfrac{37}{x(x-6)}\\\\= \dfrac{A}{x}+\dfrac{B}{x-6}$

<em>Since we are not to solve for the constants, hence the partial fraction is </em> $\dfrac{A}{x}+\dfrac{B}{x-6}$

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3 years ago

The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).

nata0808 [166]

Answer:

18 cm

Step-by-step explanation:

The ratio of Actual length (L) to scale length is 27 : 3.6

27 ÷ 3.6 = 7.5

Therefore, actual width (W) = scale width x 7.5

= 2.4 x 7.5

= 18 cm

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3 years ago

The sum of seven and eight times a number is 159.what is the number ?

Westkost [7]

The answer to this question is 10.6

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3 years ago