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taurus [48]
3 years ago
14

Write in simplest form.

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0
The answer will be y^2/4 (I’ve written up properly on the photo as I can’t type it)

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Which graph represents the solution set of the system of inequalities?
lidiya [134]

y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)

y < \dfrac{2}{3}x

the dotted line. shadow under the line

y\geq-x+2

solid line. shadow above the line

Answer in the attachment (graph C).

8 0
3 years ago
A scale on a map shows that 1 inch = 25 miles. How many inches on the map represent 100 miles? *
Lilit [14]

Answer:

4 inches

Step-by-step explanation:

Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches

8 0
2 years ago
Twice the sum of a number, n, and seven is four less than the quotient of a number, n, and three.
deff fn [24]

Answer:

Step-by-step explanation:

2(n+7)=\frac{n}{3}-4\\ \\ 2n+14=\frac{n-12}{3}\\ \\ 6n+42=n-12\\ \\ 5n+42=-12\\ \\ 5n=30\\ \\ n=6

3 0
3 years ago
Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12
Licemer1 [7]

Answer:

x is equal to -9 thus it becomes -18 in the whole setup

3 0
3 years ago
Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $7
allsm [11]

Answer:

Less than 4.70 GB

Step-by-step explanation:

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50                        Subtract $45.60 from each side.

x < 4.70 GB                       Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D

8 0
3 years ago
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