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4 years ago

13

Express your answer as a decimal (to the nearest hundredth).

1 answer:

Dmitry_Shevchenko [17]4 years ago

6 0

20/60 -> 1/6 -> 0.67

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The graph of a polynomial S(x) = (2x - 3)(x – 4)(x+3) has x-intercepts at 3.x values.

dezoksy [38]

Answer:

Step-by-step explanation:

x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:

2x - 3 = 0 and

2x = 3 so

x = 3/2

In the second:

x - 4 = 0 so

x = 4

In the third:

x + 3 = 0 so

x = -3

So the x-intercepts in the correct order are x = 3/2, 4, -3

6 0

3 years ago

-2/3- (-3/4)<br><br> Simplify if needed <br> Brainliest <br><br> Also, 5/6+5/12

bazaltina [42]

Answer:

$-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}$

$\frac{5}{6} + \frac{5}{12} = \frac{5}{3}$

Step-by-step explanation:

Given

$-\frac{2}{3} - (-\frac{3}{4})$

Required

Solve:

$-\frac{2}{3} - (-\frac{3}{4})$

Open bracket

$-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}$

Take LCM

$-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}$

$-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}$

$\frac{5}{6} + \frac{5}{12}$

Take LCM

$\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}$

$\frac{5}{6} + \frac{5}{12} = \frac{15}{12}$

Divide by 3/3

$\frac{5}{6} + \frac{5}{12} = \frac{5}{3}$

4 0

3 years ago

BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?

abruzzese [7]

Answer:

i would go for a but im not really sure. sorry if incorrect

Step-by-step explanation:

3 0

3 years ago

A ladder is placed in such a way that it reaches a window 12 m high from the ground on placing it against a wall at a distance x

liubo4ka [24]

Answer:

9 m

Step-by-step explanation:

Suppose AB is the ladder. AC is the height of the window above the ground and BC is the distance of the foot of ladder from the wall.

The triangle ABC is right angled at C.

∴ AB² = AC² + BC²

=> 15² = 12² + x²

=> 225 - 144= x²

=> 81 = x²

=> 9 = x

Hence, distance of the foot of the ladder from the wall is 9 m.

5 0

3 years ago

Read 2 more answers

What is a31 of the<br> arithmetic sequence for<br> which a5 = 12.4 and<br> ag = : 22.4?

MrMuchimi

The value of a₃₁ of the arithmetic sequence exists 77.4.

<h3>How to find the value of a₃₁ of the arithmetic sequence?</h3>

Given: a₅ = 12.4 and a₉ = : 22.4

For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists

where d = common difference

a₅ = 12.4,

a₁ + 4d = 12.4 .........(1)

Because a₉ = 22.4,

a₁ + 8d = 22.4 .........(2)

Subtract (1) from (2), we get

a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4

4d = 10

Dividing throughout by 4, we get

d = 2.5

From (1), we get

a₁ = 12.4 - 4 $*$ 2.5 = 2.4

a₃₁ = 2.4 + 30 $*$ 2.5 = 77.4

Therefore, the correct answer is a₃₁ = 77.4

To learn more about the arithmetic sequence refer to; brainly.com/question/6561461

#SPJ9

8 0

1 year ago