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Firdavs [7]
2 years ago
9

The ordered pairs (−4,−3)

Mathematics
1 answer:
lilavasa [31]2 years ago
3 0

The equations and inequality expresses the relationship between the variables.

The correct responses are;

  • First part; The rule that represent the function is; <u>y = 0.5·x - 1</u>
  • Second part; the correct option is the inequality; <u>2·n - 6 ≥ 35</u>
  • Third part; \displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}
  • Fourth part; <u>Table 4</u>
  • Fifth part; \displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}
  • Sixth part; <u>75·w + 55 ≤ 400</u>

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, <em>m</em>, 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; <u>y = 0.5·x - 1</u>

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; <u>2·n - 6 ≥ 35</u>

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

<u>75·w + 55 ≤ 400</u>

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

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75points!
Murljashka [212]

Answer:

Step-by-step explanation: BIG BOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOYZZZZZZZZZZZZZZZZZZZZZZZZZ

5 0
2 years ago
A rock band is playing a concert at Music Hall 49, which has 2,500 seats. If 80% of the tickets were sold before the night of th
nasty-shy [4]

First you must see how many seats were bought. To do this you must make a proportion

\frac{part}{whole} = \frac{part}{whole}

80 is a percent and percent's are always taken out of the 100. This means that one proportion will have 80 as the part and 100 as the whole

We want to know what 80% of 2,500 is in order to find how many seats were sold before the show. This means 2,500 is the whole and the unknown (let's make this x) is the part.

Here is your proportion:

\frac{x}{2,500} =\frac{80}{100}

Now you must cross multiply

x*100 = 80*2,500

100x = 200,000

To isolate x divide 100 to both sides

100x/100 = 200,000/100

x = 2,000

This means that before the night of the concert 2,000 seats were bought.

We are still not done with this problem because we want to know how many seats are left the night of the concert. To find this simply subtract 2,000 from the number of original seating (2,500)

2,500 - 2,000 = 500

On the night of the concert there were 500 seats left.

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Chris
Rainbow [258]

Answer:

meat = $2.40

vegetables = $ 2.40

fruit = $2.40 + X

= 2.40 ÷ 2

= 1.2

therefore 2.40 + 1.2

=$3.6 (For fruits )

= $3.6 + $2.40 + $2.40

= $ 8.4

Hope this helps .Plzz mark me brainliest

7 0
3 years ago
Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What g
In-s [12.5K]

Answer:

Ben needs to get a 99% on his second test

Step-by-step explanation:

The average is the sum of both test scores, divided by the total number of test scores (2).

Let x by the grade Ben must receive on his second test.

(89 + x)/2 = 94

Multiply by 2 on both sides

89 + x = 188

Subtract 89 on both sides

x = 99

Check work:

(89 + 99)/2 = 188/2 = 99

8 0
2 years ago
Read 2 more answers
Order 3 , -4 , 7, and -6 from least to greatest <br><br><br> Explain?
Bezzdna [24]

Answer:

-6 -4 3 7

Step-by-step explanation:

This is right because if it goes- it goes lower and if it goes up on + it goes higher.

6 0
3 years ago
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