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Alex Ar [27]
3 years ago
5

What is 3 8/9 - 1 5/8

Mathematics
2 answers:
Fed [463]3 years ago
6 0

Overall without stating all the steps, it'd be 2.

nevsk [136]3 years ago
5 0

Answer:

2 19/72

Step-by-step explanation:

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Find the roots of f(x)=x^2+10x−96
a_sh-v [17]

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

x = -16 or x = 6

6 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
Find the constant of proportionality and unit rate for the data in the table. Then write the equation to represent the relations
Hatshy [7]

You should set up an X and Y table. Make time X and Distance Y. (the table is like a cross: on the left top put x and left top put y. Then under the line list the x and y numbers given in order.) Then find the "slope" which is y/x  (rise over run) then you get the increase rate of 45 mph. The relation between them would be D=45t 
3 0
3 years ago
7x+16=8x+15 solve for x and y
elena55 [62]

Answer:

x = 1

Step-by-step explanation:

7x + 16 = 8x + 15

<u>Step 1</u> : Subtract 15 on both sides

7x + 16 - 15 = 8x

7x + 1 = 8x

<u>Step 2</u> : Subtract 7x on both sides

1 = 8x - 7x

1 = 1x

x = 1

8 0
2 years ago
If f(n) n2 - 2n, then f(2) = 0. True.or.False?
Lady_Fox [76]

Answer:

True

Step-by-step explanation:

So we know that:

f(n)=n^2-2n

And we are asked to verify whether f(2)=0 is true or false.

To determine the answer, substitute 2 for n in the function and solve. So:

f(2)=(2)^2-2(2)

Square and multiply:

f(2)=4-4

Subtract:

f(2)=0

So, the statement is indeed true.

And we're done!

6 0
3 years ago
Read 2 more answers
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