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kicyunya [14]
3 years ago
7

How do i write this inequality

Mathematics
1 answer:
fomenos3 years ago
8 0

The inequality for the given condition is x ≥ 42 inches

<u>Solution:</u>

Given that, the condition is you must be at least 42 inches tall to ride the bumper cars at an amusement park.  

We have to write an inequality that represents this situation.

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =

Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥

Let "x" represent the heights of people who are allowed to ride the bumper cars

Height of people who are allowed to ride the bumper cars should be at least 42 inches

Height of people ≥ 42 inches [ since at least condition holds even at 42 value also ]

x ≥ 42 inches

Hence, the inequality for the given condition is x ≥ 42 inches

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Quadratic formula, SOMEONE PLEASE HELP (30 points)
Anvisha [2.4K]
1. to create your own quadratic you have to just make up any numbers. so off the top of my head:
y = -5x^2 + 10x - 3

2. the equation to find the x value of the vertex uses is the equation -b/2a. You may notice that this is similar to the quadratic formula except for you take away the plus or minus square root part. if you think about it, it makes sense that this would be the vertex because the plus or minus parts are an equal distance away from the center of the parabola. so using the form ax^2 + bx + c we can plug in the a and b:
x = -10/2 (-5)
x = -10/-10
x = 1

so we have x and can plug into equation to get y value:
y = -5 (1)^2 + 10(1) -3
y= -10 + 10 - 3
y = -3

vertex is at point (1, -3)

3. the axis of symmetry is the line that runs straight up and down at the center of a parabola. the center of the parabola is the vertex so the line runs straight up and down through vertex. for a line to run straight up and down it is a constant x value. since the x of the vertex is 1, the line is:
x = 1

4. using quadratic formula :
x = [-b (+-) sqrt (b^2 - 4ac)]/2a
we get:
x = [-10 (+-) sqrt (10^2 - 4 (-5)(-3)]/2 (-5)
x = [-10 (+-) sqrt (100 - 60)]/-10
x= [-10 (+-) sqrt (40)]/-10
x= [-10 (+-) 2* sqrt (10)]/-10
x= [5 (+-) sqrt (10)]/5

that is the answer. You can use a calculator to solve easily.

5. the discriminant is the solution to what is under the squareroot sign. so the square root part was:
sqrt (b^2 - 4ac)

so discriminant is :
b^2 - 4ac

so for this function it is:
10^2 - 4 (-5)(-3)

solving this the discriminant is 40
6 0
4 years ago
A candle maker plans to make 30 orange candles. She mixes wax to create a specific shade of orange. The ratio of each color in h
Bogdan [553]

Answer:

Step-by-step explanation:

1 quart of wax makes 6 candles

If 30 candles is to be made then 5 quart of wax is needed

The quart is made up of

2 part of red

5 parts of yellow

3 Parts of white

Total= 10 part to make the Orange shade

We knew Yellow is 5 part out of 10 part as written up

Hence, yellow will be 2.5 part in 5 quart  

3 0
3 years ago
A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of
Eduardwww [97]

Answer:

The value of x component changes at a rate of \frac{dx}{dt}=4\sqrt{x} units per second

Step-by-step explanation:

We are given that y=x^{\frac{1}{2}}

Differentiating on both sides with respect to time we get

\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}

It is given that \frac{dy}{dt}=2units/sec

Solving for \frac{dx}{dt} we get

\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}

5 0
3 years ago
1) Two apples weight________ kilograms.
ratelena [41]

Answer:

12, 72, 180

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Analyze the problem and complete the statements.
NARA [144]

Answer:

I know this problem is an  

✔ equation

because it has an equals sign.

The t is the  

✔ variable

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The negative sign is the  

✔ operation

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The 7 and the 8 are both  

✔ constants

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Step-by-step explanation: i took the test :( crying cuz im bouta fail

6 0
3 years ago
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