Which ordered pairs are solutions to the inequality 2y-x ≤ -6 ?

What value of a makes the equation true? 1.7a+0.3a=4/5 A) a=2/5 B) a=−1 1/5 C) a=2 4/5 D) a=1 3/5

7nadin3 [17]

First you want to collect the like terms, 2a=45 , then divide both sides of the equation by 2 which is a=2/5 , or a=0.4

6 0

4 years ago

Read 2 more answers

Help! what is the constant of proportionality?

daser333 [38]

Answer:

3.5 and 1

Step-by-step explanation:

Y show's full number's AND .5

Example: 1 , 1.5 ,2 , 2.5, 3 , 3.5

The dotted spot shows 3.5 and 1

Hope this helps

4 0

4 years ago

Select True or False for each statement.

skelet666 [1.2K]

Answer:

The first one false the second one true

I knew that but did you? Happy early Christmas

Step-by-step explanation:

4 0

3 years ago

Calculate the zeros of the function y=-X^2-4x+21

irakobra [83]

Answer:

x = - 7, x = 3

Step-by-step explanation:

To find the zeros let y = 0, that is

- x² - 4x + 21 = 0 ( multiply through by - 1 )

x² + 4x - 21 = 0

Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (+ 4)

The factors are + 7 and - 3, since

7 × - 3 = - 21 and 7 - 3 = + 4, thus

(x + 7)(x - 3) = 0

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 3 = 0 ⇒ x = 3

4 0

4 years ago

The ordered pairs (−4,−3)

lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

First part; The rule that represent the function is; y = 0.5·x - 1

Second part; the correct option is the inequality; 2·n - 6 ≥ 35

Third part; $\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}$

Fourth part; Table 4

Fifth part; $\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part; 75·w + 55 ≤ 400

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

$\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5$

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

$\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}$

Fourth part;

The best correct option is table 4, given that the table is as follows;

$\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]$

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

$\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0

2 years ago