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asambeis [7]
3 years ago
8

Pls help 0.4x3.2 step by step pls

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

1.28

Step-by-step explanation:

0.4 x 3.2 = 1.28

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Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

x = -\frac{b}{2a}

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the
RideAnS [48]

The correlation coefficient measures the relationship between the two variables

The correlation coefficient is 0.234

<h3>How to determine the correlation coefficient</h3>

The formula of correlation coefficient is:

r = \frac{1}{n - 1} * \sum{(\frac{x - \bar x}{\sigma_x})*(\frac{y - \bar y}{\sigma_y})

Using the dataset from the complete question, we have:

r = \frac{1}{5 - 1} * 0.9375

Evaluate the difference

r = \frac{1}{4} * 0.9375

Evaluate the quotient

r = 0.234375

Approximate

r = 0.234

Hence, the correlation coefficient is 0.234

Read more about correlation coefficient at:

brainly.com/question/4219149

3 0
2 years ago
#19 solve the equation. 5m + 4m = 72
Ganezh [65]
5m + 4m = 72

Combine like terms.

9m = 72

Divide both sides by 9.

m = 8
7 0
3 years ago
Read 2 more answers
the pressure, p. of a gas varies inversely with its volume, v. Pressure is measured in units of Pa. Suppose that a particular am
LekaFEV [45]

I think I know how to do it


Your equation is:

P₁V₁ = P₂V₂


You Know:

Initial:

P₁ = 84 Pa

V₁ = 336 L


New:

P₂ = ?

V₂ = 216L


Plug this into the equation:

P₁V₁ = P₂V₂

(84 Pa)(336 L) = P₂(216 L)     Divide 216 on both sides

\frac{(84Pa)(336L)}{216L}=\frac{(P_{2})(216L)}{216L}

130.6666666 = P₂    

(if your doing significant figures, you have 2 sig figs)

130 Pa = P₂


6 0
3 years ago
What is the value of y??
vovikov84 [41]

Answer:

75

Step-by-step explanation:

5 0
3 years ago
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