Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks per week

lara [203]

Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7

Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49 $x^{2}$ =-21x-2

49 $x^{2}$ -(-21x-2) =0

Distribute

49 $x^{2}$ -(-21x-2) =0

49 $x^{2}$ +21x+2=0

Use the quadratic formula

x=(-b±√ $b^{2}$ -4ac ) / 2a

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

49 $x^{2}$ +21x+2=0

let, a=49

b=21

c=2

Replace with values in this equation

X=(-b±√ $b^{2}$ -4ac ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7

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3 0

2 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

So

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

So

$q = -6p + 104$

7 0

3 years ago

Which equation represents a line with a slope of -2/3 that passes through point (5, -2)?

serg [7]

Answer:

c) $2x + 3y = 4$

Step-by-step explanation:

−2 = −⅔[5] + b

−3⅓

1⅓ = b

y = −⅔x + 1⅓

Then convert to Standard Form:

y = −⅔x + 1⅓

+⅔x + ⅔x

__________

⅔x + y = 1⅓ [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

3[⅔x + y = 1⅓]

$2x + 3y = 4$

* 1⅓ = 4⁄3

I am joyous to assist you anytime.

8 0

3 years ago

24+82 rounding or compatible numbers to estimate the sum

allsm [11]

Answer:

106

Step-by-step explanation:

you take 82 and 24 and add them together so it would be like this 2 + 4 = 6 and 8 + 2 = 10 so the 8 is in a tens place so the answer from adding 8 + 2 = 100 because you in the tens place so the final answer would be 106 after adding it all up.

4 0

2 years ago

Edgar is walking 0.5 m/s toward the back of a train that is traveling forward at

Ilya [14]

Answer:

12.

Explanation:

6.0m/s devide it by 0.5m/s is 12.

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6 0

3 years ago