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2 years ago

Tasha can spend more than $40 on new boots. Write and graph an inequality to describe how much she can spend.

Mathematics

1 answer:

Svetllana [295]2 years ago

8 0

Answer:

$x> \$40$

The graph in the attached figure

Step-by-step explanation:

Let

x-----> money that Tasha can spend on new boots

we know that

The inequality that represent the situation is equal to

$x> \$40$

The solution is the interval--------> (40,∞)

All real numbers greater than 40

In a number line the solution is the shaded area to the right of the dashed line at 40 (open circle)

see the attached figure

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Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x

zysi [14]

Answer:

The difference in slopes of $f(x)\ and\ g(x)$ is = 3

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = -7

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

Step-by-step explanation:

Given equation:

$f(x) =2x - 2$

$g(x) =5-x$

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

$y=mx+b$

where $m$ represents slope and $b$ represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

$f(x) =2x +(-2)$

Slope = 2 and y-intercept =-2

$g(x) =(-1)x+5$

Slope = -1 and y-intercept =5

The difference in slopes of $f(x)\ and\ g(x)$ is = $2-(-1)=2+1=3$

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = $-2-5=-7$

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

5 0

2 years ago

The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?

gladu [14]

We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub

p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
$p= \frac {(x-6)(x+1)(x+4)}{(x-2)}$

7 0

2 years ago

PLEASE HELP! WILL MARK BRAINLIEST!

dedylja [7]

Answer:

at first put the value of X

after that do the equation.

Step-by-step explanation:

hope it will help you

5 0

2 years ago

Read 2 more answers