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xxTIMURxx [149]
3 years ago
13

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per

kilowatt-hour to its base charge of $18.38 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used. (Let y be measured in dollars.)
Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

y = 18.38 + 0.0634x

Step-by-step explanation:

Given,

Monthly base charge = $18.38,

Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634

( 1 cents = 0.01 dollars ),

So, the cost of x kilowatt-hours = 0.0634x,

If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,

Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,

⇒ y = 18.38 + 0.0634x

Which is the required equation.

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gtnhenbr [62]

When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the true statement?</h3>

The form of the polynomial is given as:

ax2 + bx + c

Where a, b, and c are positive real numbers.

Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

<h3>Example to verify the claim</h3>

Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

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Hence, the signs in the binomials should be both positive

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brainly.com/question/4142886

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5 0
1 year ago
In 3-10 use the distributive property to find each missing factor
Elanso [62]

The missing factor in the equation is -21

<h3>What is a distributive factor?</h3>

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From the complete question, the equation is given as:

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Where x represents the missing factor.

So, we have:

6x= (21) + (7x)

Remove brackets

6x= 21 + 7x

Collect like terms

6x-7x= 21

Evaluate the like terms

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Divide both sides by -1

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Hence, the missing factor in the equation is -21

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6 0
2 years ago
There is a total of 270 men, women and children on a train.
ryzh [129]

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

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8 + 10 + 9 = 27

Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

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There is 80 men.

6 0
3 years ago
Read 2 more answers
I need help with this i don’t understand
Phoenix [80]

Answer:

15

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= 625 - 400

= 225

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hope it helps

7 0
3 years ago
If the correlation coefficient is .87, is its relationship considered to be strong positive,weak positive,strong negative,weak n
myrzilka [38]

Answer:

strong positive correlation co efficient

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<u>positive correlation:-</u>

Positive correlation occurs when an increase in one variable increases the value in another.

<u>Negative correlation:-</u>

negative correlation occurs when an increase in one variable decreases the value of another.

Strong positive correlation:-

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Strong negative correlation:-

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Zero correlation:-

There is no relationship is called zero correlation

weak positive correlation:-

A co-efficient of correlation below 0.2 indicates a weak positive correlation between the independent variables.

weak negative correlation:-

A co-efficient of correlation below -0.2 indicates a weak negative correlation between the independent variables.

8 0
3 years ago
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