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2 years ago

Using the graph, determine the coordinates of the vertex of the parabola.

Mathematics

1 answer:

nadezda [96]2 years ago

6 0

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

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What is 300cm in meters

Ksenya-84 [330]

3 meters would be your answer

7 0

3 years ago

In their savings accounts, Jim has $250 and Norma has $400. If Jim saves $350 a month and Norma saves $300 a month, how many mon

Zarrin [17]

Answer:

the answer is 2 months

Step-by-step explanation:

I think

8 0

3 years ago

Read 2 more answers

Brianna has x nickels and y pennies. She has no less than 20 coins worth no more

Bond [772]

Answer:

$y \ge 20 - x$

$y \le 80 -5x$

$(x,y) = (15,5)$

Step-by-step explanation:

Given

$Nickels = x$

$Pennies = y$

$Amount = \$0.80$ maximum

$Coins = 20$ minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

$x\ +\ y\ge 20$ because the number of coins is not less than 20

For the worth of coins, we have:

$0.05x\ +\ 0.01y\ \le0.80$ because the worth of coins is not more than 0.80

So, we have the following equations:

$x\ +\ y\ge 20$

$0.05x\ +\ 0.01y\ \le0.80$

Make y the subject in both cases:

$y \ge 20 - x$

$0.01y \le 0.80 - 0.05x$

Divide through by 0.01

$\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le 80 -5x$

The resulting inequalities are:

$y \ge 20 - x$

$y \le 80 -5x$

The two inequalities are plotted on the graph as shown in the attachment.

$y \ge 20 - x$ --- Blue

$y \ge 80 -5x$ --- Green

Point A on the attachment are possible solutions

At A:

$(x,y) = (15,5)$

4 0

2 years ago

Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in

Serga [27]

Answer: the length of Maria's piece of string is 45 inches.

the length of Katy's piece of string is 39 inches

Step-by-step explanation:

Let x represent the length of Maria's piece of string.

Let y represent the length of Katy's piece of string.

When they put the two pieces of string together end to end, the total length is 84inches. This means that

x + y = 84 - - - - - - - - - - - -1

Maria's string is 6 inches longer than Katy's. This means that

x = y + 6

Substituting x = y + 6 into equation 1, it becomes

y + 6 + y = 84

2y + 6 = 84

2y = 84 - 6 = 78

y = 78/2 = 39

x = y + 6 = 39 + 6

x = 45

8 0

3 years ago

Circular flower bed is 17 m in diameter and has a circular Samick around it is that to meters wide find the area of the sidewalk

NARA [144]

Answer:

26.69 square meters

Step-by-step explanation:

A=r(3.14)

A= 8.5(3.14)

A=26.69 meters

3 0

2 years ago