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oksano4ka [1.4K]
2 years ago
15

A two-variable inequality is shown in the graph. upward opening parabola which is solid with vertex at 1 comma 2, travels throug

h points negative 1 comma 6 and 3 comma 6, with shading inside the curve Which point is not included in the solution set for the inequality?
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

The point among the answer choices which is not in the solution set of the inequality is; (-1, 3).

<h3>Which point is not included in the solution set of the inequality?</h3>

It follows from the task content that the vertex of the two-variable inequality in discuss is; (1, 2).

On this note, it follows that; the two variable inequality described by a parabola opening upward can be written by means of its vertex as;

y >= (x - (1))² + 2

y >= (x-1)² + 2.

By testing points among the answer choices, the point which is not part of the solution set is; (-1,3).

This follows from the fact that; at x=-1;

The value of y is;

y >= (-1-1)² +2

y >= 6

Hence, since the value of y= 3 which is less than, 6, it follows that the point (-1,3) is not in the solution set.

Remarks: The answer choices in the complete question are as follows;

(–1, 3)

(0, 4)

(1, 5)

(2, 4)

Read more on solution set of inequalities;

brainly.com/question/12681658

#SPJ1

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Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15
pentagon [3]

The correct option is B. Distributive property

Given,

\frac{2}{3} x+7=-5\\

On solving the above equation,

multiplying both sides by 3 we, get

2x+21=-15

now subtracting 21 from both the sides,

2x=-36\\

dividing both the sides by 2 we get,

x=-18

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

For more details follow the link:

brainly.com/question/13130806

6 0
2 years ago
David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car.
statuscvo [17]

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

7 0
3 years ago
Please help me!! Thank you.
avanturin [10]
The answer is a because there is not an 8 on the chart
3 0
3 years ago
Read 2 more answers
I dont know<br> How to solve this at all
AlladinOne [14]
So since this is a linear equation, which is y=mx+b, you use what it tells you in the word problem. so mx is the rate, since in this equation 200 per ton of sugar that's your mx, so its 200x. then for your b value, which in this case is the cost of truck rental, so its 5,400.

your equation is C=200s+5400


the variables are the same so you can use Y and X, but I used the variables used in the word problem.

Y=200x+5400
7 0
3 years ago
Paul jogged for 2/10 of an hour. Ones jogged for 5/8 of an hour. Who jogged for a longer period of time? How much longer?
AleksandrR [38]
Ones jogged for a longer period of time.
by 17/40
6 0
3 years ago
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