MATHEMATICS HIGH SCHOOL

The maximum weight allowed per car on The Wildcat carnival ride is 221 pounds. Your friend weighs 60 pounds. To be able to ride in a car together, how much can you weigh? Write and solve an inequality.x – 60 inequality-lessthanorequalto 221; at most 60 pounds
x + 60 inequality-lessthanorequalto 221; at most 161 pounds
x + 161 inequality-lessthanorequalto 221; at most 60 pounds
x + 60 inequality-lessthanorequalto 161; at most 221 pounds

Answers

Answer 1

Answer: 161 + 60 inequality-lessthanorequalto 221; at most 161 pounds

221 - 60 =161

Answer 2

Answer:

Answer:

The answer would be 161

Step-by-step explanation:

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Given the linear equation 4y = 8x - 3, find the y-intercept

Answers

yintercept is where the line crosses the y axis and where x=0
set x=0
4t=8(0)-3
4y=-3
divide by 4
y=-3/4

the yintercept is at y=-3/4 or at point (0,-3/4)

How is the graph of log (x – 5) translated from the graph of log x?

Answers

Answer:

The graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).

Step-by-step explanation:

The parent log function is

$y=\log x$

The translation of the function is defined as

$y=\log (x+a)+b$ .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function is

$y=\log (x-5)$ .... (2)

From (1) and (2), we get

$a=-5,b=0$

Since a=-5<0, therefore the graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).

The transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).

Describing the transformation of f(x) to g(x).

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = log(x - 5)

g(x) = log(x)

So, we have

Difference = 5 - 0

Evaluate

Difference = 5

This means that the transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).

Answers

Answer:

x=6

Step-by-step explanation:

its an equilateral triangle so all sides are the same measure

9=3x-9

18=3x

x=6

Decomposers could be considered a special kind of consumer. Why??

Answers

Decomposers break down things that aren't usable anymore or that die and recycle it back into the environment to use in other processes.

An apple tree is 93 ft tall and a peach tree is 5ft tall. How much taller is theapple tree than the peach tree? help!!

Answers

88ft. You need to subtract 5 from 93 (93-5) which would equal 88

P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ.18. P(-3, 2)
19. P(4, -2)
20. P(0, -6)
21. P(-3, -4)

Answers

Answer:

see below

Step-by-step explanation:

When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.

In the attached, we have used ...

r² = x² +y²

√20 = 2√5

√36 = 6

√25 = 5

and 1/(2√5) = √5/10. (The division is outside the radical.)

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