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devlian [24]
3 years ago
8

Write 3 < x < 9 in interval notation.

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:

(3, 9)

Step-by-step explanation:

If we have ≤ or ≥, we use brackets to signify it includes the values.

If we have < or >, we use parenthesis to signify it doesn't include the values.

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Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph? (
Debora [2.8K]

Answer:A

Step-by-step explanation:edge

6 0
3 years ago
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The school sold $6000 worth of tickets. Adult tickets were seven dollar and children’s tickets were three dollars. Three times a
padilas [110]

Answer:

1,500 tickets in total (375 adult tickets and 1,125 children tickets)

Step-by-step explanation:

Let x be the number of adult tickets sold.

Three times as many children tickets were sold as adults, so 3x is the number of children tickets sold.

Children tickets were three dollars, so 3x children tickets cost \$3\cdot 3x=\$9x.

Adult tickets were seven dollar, so x adult tickets cost \$7\cdot x=\$7x.

The school sold $6000 worth of tickets.

Hence,

9x+7x=6,000\\ \\16x=6,000\\ \\x=\dfrac{6,000}{16}=375\\ \\3x=1,125\\ \\x+3x=375+1,125=1,500

7 0
3 years ago
A paving company is preparing to build a driveway that will be 40 feet long and 12 feet wide. They will start with an 18 inch la
svetlana [45]

Answer:27

Step-by-step explanation:first you need 40 x 12 for the area for your gravel

so 480 divided by 18 = about 27

3 0
3 years ago
Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
pochemuha

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

4 0
3 years ago
The triangles are similar by the AA similarity postulate find the value of x ?
Natasha_Volkova [10]
4/5 = (4 + 8)/x
4x = 5(12) = 60
x = 60/4 = 15
3 0
3 years ago
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