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2 years ago

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2x + 2 < 2 or 3 - x greater than or equal to 0

1 answer:

Nikitich [7]2 years ago

7 0

$2x+2 < 2\ or\ 3-x\geq0\\\\2x+2 < 2\ \ \ |-2\\2x < 0\ \ \ \ |:2\\x < 0\\\\3-x\geq0\ \ \ |+x\\3\geq x\to x\leq3\\\\x < 0\ or\ x\geq3\to x\in(-\infty,\ 0)\ \cup\ [3,\ \infty)$

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a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

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6 0

2 years ago

How to solve this problem for my pre calculous class.

Vilka [71]

Take the cos-1 of both sides to get 3x=30 then divide by 3 to get ×=10

4 0

2 years ago

Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6

PilotLPTM [1.2K]

Answer:

a. $(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. $s=-\frac{37}{12}$

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of $6s$ and $5s$ " must be expressed as:

$6s-5s$

- Then, "Three more than the difference of $6s$ and $5s$ " is:

$(6s-5s)+3$

- "The difference of $\frac{1}{12}$ and $\frac{1}{6}$ " can be expressed in this form:

$\frac{1}{12}-\frac{1}{6}$

Therefore, "Three more than the difference of $6s$ and $5s$ is equal to the difference of $\frac{1}{12}$ and $\frac{1}{6}$ " is:

$(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. Solve for "s" in order to find its value:

$s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}$

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2 years ago

Drag the simplified value into the box to match each expression.

Maru [420]

Answer:

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Step-by-step explanation:

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Next, $5^2 - 4 + 7 \times 3$ . This could be written as: $25 - 4 + 21 = 42$ . Hence the answers.

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3 years ago

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jeka57 [31]

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3 years ago