Bill cleans house windows for $20/houseplus $1/window. If your house has 22
windows; how much will it cost?
y= rate • x + constant

Answers


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The model represents x2 – 9x + 14.Which is a factor of x2 – 9x + 14?

A. x – 9
B. x – 2
C. x + 5
D. x + 7

Answers

Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }

1. Find the roots:

2. Factorize the polynomial:

x^2 - 9x + 14=(x-2)(x-7).

3. Only factor x-2 is given in options, then the correct choice is B.

The factor of the given polynomial expression is (x - 2). So, option B.

Using variables and coefficients, polynomials are algebraic expressions. The word indeterminates is sometimes used to describe variables.

For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all mathematical operations that are possible, however division by variables is not one of them.

The given polynomial expression is,

x²- 9x + 14

So, we can write that,

(x - a) (x - b) = x²- 9x + 14

So, we can write two equations,

ab = 14

a + b = 9

Therefore, we can say that,

a = 2 and b = 7

Therefore, the factors of the given polynomial expression is,

(x - 2) (x - 7) = x²- 9x + 14

To learn more about polynomial expression, click:

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-21-15
_9
-64
-48
-32
What is the c-intercept of the line?
What is the x-intercept of the line?

Answers

Answer:

-21

Step-by-step explanation:

Becky went scuba diving. The inequality statement compares the magnitude of two depths that she reached.|−28|>|−3|

What does the inequality statement show?

Select from the drop-down menus to correctly complete the statement.

−28 is
Choose... Greater or less
than −3, but 28 m below sea level is a
Choose... greater or less
depth than 3 m below sea level.

Answers

Complete statement is as follows -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

What is inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.

We have the following expression -

|- 28| > |- 3|

The absolute value of the expression, will be -

28 > 3

Now, 28is greater than 3.

But is we compare -28 and -3, then -28 is less than -3.

Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.

Therefore, we can write the complete statement as -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

To solve more questions on inequalities, visit the link below-

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Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.

Step-by-step explanation:

Select the equation that most accurately depicts the word problem. Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies. 2(x + 2) = 30 x + (x + 2) = 30 2x + 30 = 5 x + 2 = 30

Answers

Answer:

Option 2 is correct.i.e., Equation that most accurately depicts the word problem is x + ( x + 2 ) = 30

Step-by-step explanation:

let x be no of pennies and y be no of nickles.

Mary Lou has total 30 coins all together means,

x + y = 30

⇒ y = 30 - x ....................(1)

Mary Lou has 2 more nickles than pennies means,

y = x + 2

30 - x = x + 2    (from eqn (1))

30 = x + x + 2

x + ( x + 2 ) = 30

Therefore, Option 2 is correct.i.e., Equation that most accurately depicts the word problem is x + ( x + 2 ) = 30

x + (x+2) = 30

14 pennies and 16 nickels

Could you guys help me and explain them please.Directions: Define a variable and write an inequality to model each situation. You must show all work to receive full credit. (1 point for defining the variable, 1 point for a correct inequality)
Example:
A truck can tow at most 12,000 lbs.
Let t represent the amount that the truck can tow.
t ≤ 12,000

8. The restaurant can seat at most 172 people.




9. A person must be at least 35 years old to be elected president.





10. A law clerk earned more than $20,000 since being hired.



11. A local pizzeria offered a special. Two pizzas cost $14.99. A group of students spent less than $75. They purchased three pitchers of soda for $12.99. How many pizzas could the group purchase? (1 point for writing an inequality to represent this situation, 1 point for determining how many pizzas could be purchased)

Answers

8. The restaurant can only seat 172 people, so the equation would be s ≤ 172 ( s = amount of seating). So, s has to be less than or equal to 172.
9. The person has to be at the least 35 years old, so the equation would be p ≥ 35 (p = person running for president). So the person would have to be equal to or older than 35.
10. Okay, so the person made any number greater than $20,000, so the equation is c > $20,000 ( c = law clerk) because it has to be bigger than $20,000.
11. So the equation for how much they spent is s < $75 ( s = students). But since they spent at least $12.99, the equation for pizzas purchased would be $12.99 < p < $75 (p = pizzas) because it would have to be between $12.99 and $75.

You guys are life savers but does anyone know the answers to these questions? I’m so confused rn

Answers

Answer:

The third choice

Step-by-step explanation:

We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be (3)/(-1) , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.