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2 years ago

11

Find the valuds to complete the table

2 answers:

-Dominant- [34]2 years ago

6 0

What is the given table?

Svetach [21]2 years ago

4 0

Answer:

Where is the table

Step-by-step explanation:

I cant answer without it

You might be interested in

The sum of 6 times a position number and 1 is the same as the sauare of 1 less than the number

stepan [7]

If the number is x, then:
6x+1= (x-1)^2

Now we just need to simplify it
6x+1=(x-1)*(x-1)
6x+1=x^2-2x+1
8x=x^2
8=x

The number is 8.

To check the answer
6*8+1=7^2
49=49
correct :)

5 0

3 years ago

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

2 years ago

Prove that 4x-1 =11,in which the value of x=3

SOVA2 [1]

Answer:

3

Step-by-step explanation:

substitute where x=3 into the equation

so 4*3-1=11

8 0

2 years ago

Read 2 more answers

Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation,

Sholpan [36]

Answer:

The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.

Step-by-step explanation:

I got it right on my test! :)

7 0

2 years ago

Given the net of the rectangular prism, what is its surface area?

Llana [10]

Answer:

<h2>S.A. = 66m²</h2>

Step-by-step explanation:

Look at the picture.

We have :

4 rectangles 3m × 4m → A₁ = 3 · 4 = 12 m²

2 rectangles 3m × 3m → A₂ = 3 · 3 = 9 m²

Therefore the Surface Area of the rectangular prism is:

S.A. = 4A₁ + 2A₂

Substitute:

S.A. = 4(12) + 2(9) = 48 + 18 = 66

5 0

3 years ago