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4 years ago

Evaluate the expression when y = 3 B.) 12y

Mathematics

1 answer:

Archy [21]4 years ago

3 0

12y = 12*3 = 36 ← answer

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Write the product of 5^2 x 5^4 as a single product.

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5^6 and 15625 is the right answer

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What is the reciprocal of 9 and 1/9

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9/82
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9 x 9 + 1 = 82

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A portion of the Quadratic Formula proof is shown. Fill in the missing reason.

hram777 [196]

Answer:

see the procedure

Step-by-step explanation:

we have

$ax^2+bx+c=0$ ----> given

step 1

Subtract c from both sides of the equation

$ax^2+bx+c-c=-c$

$ax^2+bx=-c$

step 2

Factor the leading coefficient a

$a(x^2+\frac{b}{a}x)=-c$

step 3

Complete the square and add to both sides

$a(x^2+\frac{b}{a}x+(\frac{b^2}{4a^2}))=-c+\frac{b^2}{4a}$

step 4

Divide both sides of the equation by a

$(x^2+\frac{b}{a}x+(\frac{b^2}{4a^2}))=-\frac{c}{a}+\frac{b^2}{4a^2}$

step 5

Find a common denominator on the right side of the equation and adds the fractions together on the right side of the equation

$(x^2+\frac{b}{a}x+(\frac{b^2}{4a^2}))=\frac{b^2-4ac}{4a^2}$

step 6

Rewrite the perfect square trinomial as a binomial squared on the left side of the equation

$(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}$

step 7

Take the square root of both sides of the equation

$(x+\frac{b}{2a})=\pm\frac{\sqrt{b^2-4ac}}{2a}$

step 8

Subtract both sides of the equation by the term b/2a

$x=-\frac{b}{2a}\pm\frac{\sqrt{b^2-4ac}}{2a}$

step 9

Rewrite the final expression

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

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3 years ago

The graph of a line passes through the points (0, -2) and (6.0). What is

9966 [12]

Answer:

$y=\frac{1}{3}x-2$

Step-by-step explanation:

The equation of a line is given in the form $y=mx+b$

Where

m is the slope with formula $m=\frac{y_2-y_1}{x_2-x_1}$

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

$m=\frac{0+2}{6-0}=\frac{1}{3}$

Now we have

$y=\frac{1}{3}x+b$

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

$y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2$

Thus,

equation of line = $y=\frac{1}{3}x-2$

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3 years ago

State the first 3-digit multiple of 7

Elis [28]

Da answer is 7, 14, 21

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3 years ago