The table shows the values of a function f(x).

ycow [4]

Answer:

$About\ 193 \frac{209}{372} \ tons\ of \ steel$

Step-by-step explanation:

Given the amount of tons of steel produced monthly by a factory to be 6000 5/12 tons, to determine their daily production, we need to use the conversion;

Maximum of 31 days = 1 month

This means that the steel company produces 6000 5/12 tons of steel in 31 days.

6000 5/12 tons = 31 dsays

72,005/12 tons = 31 days

in a day, the company will therefore produce approx. (72,005/12)/31 tons of steel.

(72,005/12)/31 = 72,005/12 * 1/31

= 72,005/12*31

= 72,005/372

= 193 209/372 tons of steel.

Hence, the factory produces about $193 \frac{209}{372}$ tons of steel daily

6 0

3 years ago

Given y2 + 5y - 6 = (y + p)(y +q) find the values of p and q.

finlep [7]

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

5 0

2 years ago

The old man walked 2/3 of a mile in 1/2 of an hour. What is this rate in miles per hour?

Morgarella [4.7K]

If the old man walks 2/3 of a mile in 1/2 an hour, you can find how many miles he walk in one hour by setting up a fraction where distance (miles) is the numerator and the denominator is time (hours). So, (2/3)/(1/2) is the fraction. Now, we have to figure out how to make the denominator one, and we do that by multiplying is by 2. Whatever you do to the denominator you have to do to the numerator, so multiply 2/3 by 2 and 1/2 by 2.

(1/2) x 2 = 1 and (2/3) x 2 = 4/3 or 1 1/3

the old man walked 1 1/3 miles per hour

7 0

3 years ago

The points (2a, – 4a + 3), (2b - 3, b) lie on the graph of the equation

vladimir2022 [97]

Answer:

a = -2.5, b = 1

Step-by-step explanation:

Given line:

y = -3x - 2

Points on the same line:

(2a, -4a + 3) and (2b - 3, b)

Substitute x and y values of both points into equation of the line and solve for a and b:

-4a + 3 = -3(2a) - 2 ⇒ -4a + 3 = -6a - 2 ⇒ 6a - 4a = -2 - 3 ⇒ 2a = -5 ⇒ a = -2.5
b = -3(2b - 3) - 2 ⇒ b = -6b + 9 - 2 ⇒ b+ 6b = 7 ⇒ 7b = 7 ⇒ b = 1

8 0

2 years ago

Read 2 more answers

- The distance between (5,6) and (-3.8) is 8.2. True False

Nady [450]

Answer:

True

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (5, 6)

Point (-3, 8)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3 - 5)^2 + (8 - 6)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-8)^2 + (2)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{64 + 4}$
[√Radical] Add: $\displaystyle d = \sqrt{68}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{17}$
Approximate: $\displaystyle d \approx 8.24621$

4 0

2 years ago