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3 years ago

Find the domain and range please!

Mathematics

1 answer:

kirza4 [7]3 years ago

7 0

Answer:

domain: -2 < x < 4

range: -∞ < y < 9

Step-by-step explanation:

domain: because the domain is all of the x-values, just look for the furthest one to the left, which is -2, and then look for the one that is furthest to the right, it being 4.

range: because the quadratic function has the two arrows continuing downwards, toward the negative portion of the graph, it would be -∞. Then look for the maximum of the graph, which would be considered the most highest part of the graph, which is seen on the graph as 9.

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Answer: 1:2

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3 years ago

PLEASEEEEEE HELPPPPPPPPP!!!!!!!!!!!!!!!!! ON ASSESSMENTTTT PRACTICEEEE ITS VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the co

adelina 88 [10]

In order to determine the vertex of the given functions, consider that the general form of a quadrati function is:

y = ax² + bx + c

The value of x for the vertex is given by:

x = -b/2a

The value for y, based on the previous values of x, is the y value of the vertex. Use the previous expression to find the vertices:

1. y = x² + 8x - 6

x = -8/2(1) = -4

y(-4) = (-4)² + 8(-4) - 6 = 16 - 32 - 6 = -22

Hence, the vertex is (-4,-22)

2. y = -4x² - 24x - 5

x = -(-24)/2(-4) = -6

y(-6) = -4(-6)² - 24(-6) - 6 = -144 + 144 - 6 = -6

Hence, the vertex is (-6,-6)

3. y = 2x² - 3x + 7

x = -(-3)/2(2) = 3/4 = 0.75

y(3/4) = 2(3/4)² - 3(3/4) + 7 = 18/16 - 9/4 + 7 =5.875

Hence, the vertex is (0.75 , 5.875)

4. y = -x² + 5x - 6

x = -5/2(-1) = 5/2 = 2.5

y(5/2) = -(5/2)² + 5(5/2) - 6 = 0.25

Hence, the vertex is (2.5 , 0.25)

5. y = 1/2 x² + 6x - 5

x = - 6/(2(1/2)) = -6

y(-6) = 1/2 (-6)² + 6(-6) - 5 = -23

Hence, the vertex is (-6 , -23)

6. y = 4x² + 7

x = -0/2(4) = 0

y(0) = 4(0) + 7 = 7

Hence, the vertex is (0 , 7)

8 0

1 year ago

Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field

Svetllana [295]

She bought 54 child tickets and 19 adult tickets.

Step-by-step explanation:

No. of tickets purchased = 73

Cost of tickets = $771

Cost of one child ticket = $9

Cost of one adult ticket = $15

Let,

Child ticket = x

Adult ticket = y

According to given statement;

x+y=73 Eqn 1

9x+15y=771 Eqn 2

Multiplying Eqn 1 by 9;

$9(x+y=73)\\9x+9y=657\ \ \ Eqn\ 3\\$

Subtracting Eqn 3 from Eqn 2;

$(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114\\$

Dividing both sides by 6;

$\frac{6y}{6}=\frac{114}{6}\\y=19$

Putting y=19 in Eqn 1

$x+19=73\\x=73-19\\x=54\\$

She bought 54 child tickets and 19 adult tickets.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

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larisa [96]

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pi*13.5*13.5=

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rounded, 572.56

circumference: 2*pi*r(which is basically diameter times pi)

27pi=84.823

rounded, 84.82

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3 years ago

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marusya05 [52]

I think it’s c and h

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3 years ago