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3 years ago

11

What is the slope of the line parallel to the line y = -5/3x + 5?

2 answers:

zhuklara [117]3 years ago

5 0

Answer:

5/3

Step-by-step explanation:

Aleksandr-060686 [28]3 years ago

3 0

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{5}{3}$ x + 5 ← is in slope- intercept form

with slope m = - $\frac{5}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular }$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{5}{3} }$ = $\frac{3}{5}$

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Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21

Mice21 [21]

Answer:

$(-4,-13)$ and $(4,3)$ the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

$f(x)=2x-5$

$g(x)=x^2+2x-21$

For a common point of these functions,

$f(x)=g(x)$

$2x-5=x^2+2x-21$

$-5=x^2-21$

$0=x^2-16$

$x^2=16$

$x=-4,4$

For $x=-4$ ,

$f(-4)=g(-4)=2(-4)-5$

$=-13$

For $x=4$ ,

$f(4)=g(4)=2(4)-5$

$=3$

Therefore, $(-4,-13)$ and $(4,3)$ the intersection points.

3 0

3 years ago

Simplify the polynomial expression given below.<br><br> (2x − 1)(2x2 + 5x + 3) + (3x + 6)

fenix001 [56]

Answer:

$4x^{3}+8x^{2} +4x+3$

Step-by-step explanation:

Hello

To simplify the polynomial we must eliminate the parentheses

by definition

$ax^{n}*bx^{m} =abx^{n+m}$

$(2x-1)(2x^{2} +5x+3)+(3x+6)\\(4x^{3} +10x^{2} +6x-2x^{2} -5x-3)+(3x+6)\\\\We\ add\ the\ similar\ terms\\\\(4x^{3}+8x^{2} +x-3)+(3x+6)\\\\4x^{3}+8x^{2} +4x+3$

I hope it helps

Have a great day

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WINSTONCH [101]

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