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3 years ago

The solution of a system of two linear equations yields the equation 0=3. Describe what the graph of the system looks like.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Well TBH, does 0 really equal 3. no that means that they are parallel, there is no point of intersection.

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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o

katrin2010 [14]

Answer:

$y=2(x+6)^2+7$

$(-6,7)$

Step-by-step explanation:

$y=2x^2+24x+79$

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

$y=(2x^2+24x)+79$

Factor out the coefficient of the quadratic term,

$y=2(x^2+12x)+79$

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

$y=2(x^2+12x+36-36)+79$

Simplify,

$y=2(x^2+12x+36)+79+(2)(-36)$

$y=2(x+6)^2+79-72$

$y=2(x+6)^2+7$

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

$(-6,7)$

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3 years ago

Liula [17]

Answer:

3000

Step-by-step explanation:

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3 years ago

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padilas [110]

Answer:

x = 180 - (31 + 40)

Step-by-step explanation:

x = 180 - (31 + 40)

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3 years ago

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Eva8 [605]

Answer:

initial value=2

rate of change=1

Step-by-step explanation:

rate of change=(3-2)/(1-0)=1

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4 years ago

How many 7-digit phone numbers are possible, assuming that the first digit can’t be a 0 or a 1? (b) re-solve (a), except now ass

sladkih [1.3K]

A. We are going to form 7 digit numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

where the first digit cannot be 0 or 1.

so we have 8 choices for the 1. digit, and 10 choices for all the other 6 digits.

this means there are $8*10*10*10*10*10*10=8* 10^{6}$ possible numbers.

b.

consider the numbers which start with 911. There are $10*10*10*10=10 ^{4}$ such numbers, since for the 4th, 5th, 6th and 7th digits we have 10 choices.

then we remove this number, from the one we found in a:

There are in total $8* 10^{6}-10^{4}=7,990,000$ numbers which don't start with 911.

Answer:

a. $8*10^{6}$
b.7,990,000

3 0

3 years ago