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timofeeve [1]
3 years ago
8

Ben said the graph of the inequality

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Step-by-step explanation:

we have

-x^{2} +9 > 0

Multiply by -1 both sides

x^{2} -9 < 0

Adds 9 both sides

x^{2} < 9

The solutions are

x < 3

and

-x < 3 -----> Multiply by -1 both sides ----> x > -3

therefore

The solution is the interval (-3,3)

Ben is incorrect

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Write (-2,5) and (0,8) linear equation in slope intercept form
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Answer: y= 3/2x+8

Step-by-step explanation:

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2 years ago
F(x) = x + 2 g(x) = x – 4 (f g)(x) =
Sauron [17]

Answer:

x² - 2x - 8

Step-by-step explanation:

The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.

(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8

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4. What is the axis of symmetry for h(x) = 19(x – 5)^2 + 6
tester [92]

Answer:

x = 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

h(x) = 19(x - 5)² + 6 ← is in vertex form

with vertex (h, k ) = (5, 6 )

The axis of symmetry is a vertical line passing through the vertex

with equation x = 5

4 0
2 years ago
The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the
kifflom [539]

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

 = [-17 ± √1225] / 2

 = [-17 ± 35] /2

 = -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.

3 0
2 years ago
Please help me please
Murrr4er [49]

The volume of cone B will be 6 cubic units.

<h3>What is the volume of the cone?</h3>

Let h be the height of the cone and A be the base area of the cone.

Then the volume of the cone will be

Volume = (1/3) × A × h

Consider cone A and cone B.

The bases of the cones are congruent.

The height of cone A is 4 times larger than the height of cone B.

\rm h_a = 4h_b

The volume of cone A is 24.

24 = (1/3) Ahₐ

Then the volume of the cone B will be

\rm V = (1/3)Ah_b

Simplify the expression, then the volume will be

V = 1/4 x (1/3)Ahₐ

V = 1/4 x 24

V = 6 cubic units

The volume of cone B will be 6 cubic units.

More about the volume of the cone link is given below.

brainly.com/question/1984638

#SPJ1

4 0
1 year ago
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