mindi planted in 4/10 of the garden and peas in 5/10 of her garden. What fraction of the garden has beans or peas?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

5 0

9/10 of the garden has either beans or peas.

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3(2c-8) - 10c > 0 can some one explain how to solve this ?

Jet001 [13]

Answer:

c < - 6

Step-by-step explanation:

Given

3(2c - 8) - 10c > 0 ← distribute and simplify left side

6c - 24 - 10c > 0

- 4c - 24 > 0 ( add 24 to both sides )

- 4c > 24

Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.

c < - 6

8 0

3 years ago

What is the solution of the equation f(x) = g(x) ?

dezoksy [38]

We are given the two functions $f(x) = x^{-\frac{1}{2} }$ and $g(x) = \sqrt{x} - \frac{3}{2}$ . Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:
$x^{-\frac{1}{2}} = \sqrt{x} - \frac{3}{2}$
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!

4 0

2 years ago

CAN SOMEONE PLS TELL ME DOMAIN AND RANGE

lorasvet [3.4K]

Answers:

Domain is (-4, 3]
Range is (-5, 5]

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Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that $-4 < x \le 3$ . It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval $-4 < x \le 3$ then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is $-5 < y \le 5$ . This condenses into the shorthand of (-5, 5] which is the range in interval notation.