Solve the compound inequality below:

1 answer:

3 0

-5b+5 <= 25
-5b <= 25 - 5
-5b <= 20
sign flips direction when divide/multiply by negative
b >= -4

7b +6 <= -36
7b <= -36 - 6
7b <= -42
b <= -6

answer D

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erastovalidia [21]

Answer:

D .

Sorry if i'm wrong.

$x(2 {x}^{2} + 4x - 1 )\\ = 2 {x}^{3} + 4 {x}^{2} - x$

6 0

2 years ago

Find the $x$-intercept of the line $3x - 5y = 7.$

kotegsom [21]

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

<h3>What is the x-intercept of the line?</h3>

Given the function;

3x - 5y = 7
x-intercept ?

X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.

3x - 5y = 7

3x - 5(0) = 7

3x - 0 = 7

3x = 7

x = 7/3

Hence, we have a point ( 7/3, 0 ).

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

Learn more about x and y-intercepts here: brainly.com/question/12791065

#SPJ1

4 0

1 year ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$