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STALIN [3.7K]
2 years ago
7

Graph each quadratic function.State the domain and range. g(x)=4x^2

Mathematics
1 answer:
Nesterboy [21]2 years ago
8 0

The domain of this function is x = all real numbers.

The range of this function is that y ≥ 0.

To find the domain, you need to look for exclusions. The only numbers that you exclude are when you can't divide by 0 or have a negative square root. Since this problem has no square root symbol or fractions, it is all real numbers.

For the range, we need to find the smallest value of y. y can get no smaller in this problem than when x = 0. In that case y also = 0. Because the lead coefficient is positive (4), we know that the graph is increasing. Therefore, we know that y must always be bigger than 0.

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Please help.
Charra [1.4K]

Answer:

Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:

Since the length of the hypotenuse is twice as long as the shorter leg, we have:

The length of the short leg is: 25/2 = 12.5

Since the length of the longer leg is equal to the length of the shorter leg

multiply by square root of 3 we have:

The length of the longer leg is: 12.5 × √3 ≈21.65

=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15

6 0
2 years ago
Read 2 more answers
Estimate 102.3 divided by 4.7
qwelly [4]

Answer:

20

Explanation:

To estimate, we round.  102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.

5 0
3 years ago
Read 2 more answers
Create a word problem using 30+2d as the answer
Tanzania [10]

Answer:

Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with <em>d</em> being how many gigabytes she uses per month.

Step-by-step explanation:

We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be <em>d</em> therefore <em>d</em> is how many gigabytes she uses per month.

4 0
2 years ago
On Pennsylvania's interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that re
qaws [65]

Let x be the speed.

Maximum is 65 so x needs to be less than or equal to 65.

The minimum is 45, so x also has to be greater than or equal to 45

45 <= x => 65

6 0
3 years ago
5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000​
Hunter-Best [27]

Answer:

92% of Income is  Rs 18400

Step-by-step explanation:

I = 18400/.92 = Rs 20000

8 0
2 years ago
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