Identify the constant term of<br> 14 - 8x

1.

butalik [34]

The answers to each of the given problems are;

1) Sum of two smallest integers = 23

2) 3x + 6

3) 7.5 m/s²

<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

a = 7.5 m/s²

Read more about sum of integers at; brainly.com/question/17695139

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7 0

7 months ago

Prescription for marilyn jones

sattari [20]

Answer:

The pharmacy should give Marilyn 135 tablets to fill the isoniazid for 45 days

Step-by-step explanation:

Marilyn has to take isoniazid 100 milligrams tablet 3 times a day which means three tablets a day.

The pharmacy has to provide the tablets for 45 days

So,

Total tablets that will be provided by the pharmacy are:

45*3 = 135 tablets ..

4 0

2 years ago

2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)

AVprozaik [17]

Answer:

2x³ + x² - 11x - 15

Step-by-step explanation:

Step 1: Write out expression

2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)

Step 2: Distribute negative

2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9

Step 3: Combine like terms (x)

2x³ + x² + 9x - 10x - 10x - 9 - 6

2x³ + x² - x - 10x - 9 - 6

2x³ + x² - 11x - 9 - 6

Step 4: Combine like terms (constants)

2x³ + x² - 11x - 15

5 0

2 years ago

What is the equation of the line for this function? (0, 0), (2, 1), (4, 2), (6, 3).

aleksley [76]

The equation of the line is $y=\frac{1}{2}x$

Explanation:

Given that the set of ordered pairs is (0,0), (2,1), (4,2), (6,3)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us substitute any two coordinates in the formula.

Thus, substituting the coordinates (2,1) and (6,3) in the above formula, we have,

$m=\frac{3-1}{6-2}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

Thus, the slope of the line is $m=\frac{1}{2}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Let us substitute any one of the coordinates and the slope in the above formula.

Hence, substituting $m=\frac{1}{2}$ and the coordinate (0,0), we get,

$y-0=\frac{1}{2}(x-0)$

$y=\frac{1}{2}x-0$

$y=\frac{1}{2}x$

Hence, the equation of the line is $y=\frac{1}{2}x$

7 0

2 years ago

The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

mamaluj [8]

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

The inequality that represents this scenario is:

$5 + 2.75x \le 21$

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is as follows:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

$5 + 2.75 * x \le 21$

$5 + 2.75x \le 21$

Identify the constant term of 14 - 8x - 7y