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swat32
3 years ago
8

Graph the system of inequalities

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0
Answer: To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
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What is the range of this function?
Rzqust [24]

Greetings.

The range is the set of y-value.

The range starts from the minimum point to maximum point.

Our minimum point starts at 0 and maximum point starts less than infinity.

Therefore the range is 0<=y<+inf

However, we do not often write that, although it is right.

Therefore we write as y≥0

Thus, the answer is B choice.

5 0
3 years ago
A rectangle has length 3 feet and width 1/4 foot. What is the area of the rectangle?
Lera25 [3.4K]
Area=width*length\\\\length=3ft\\width=\frac{1}{4}ft\\\\ Area=3*\frac{1}{4}=\frac{3}{4}ft^2\\\\Area\ of\ rectangle\ is\ equal\ to\ \frac{3}{4}ft^2.
5 0
4 years ago
What is the value of the expression below?
Ghella [55]

Answer:

A. 12

Step-by-step explanation:

use pemdas

4^4=16

20+8=28

28-16=12

4 0
2 years ago
Read 2 more answers
Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1
elena55 [62]

Answer:

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Step-by-step explanation:

The solution to the system of equations is at the point where they intercept each other.

y1 = y2

For the given equation;

y=x^2-2x and y=-2x-1

To get the where they intercept, we will equal both equations;

y=x^2-2x = -2x-1

x^2 - 2x = -2x - 1

x^2 - 2x + 2x + 1 =0

x^2 +1 = 0

x^2 = -1

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

6 0
3 years ago
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

x=5y -----> equation A

y=2z

z=y/2 -----> equation B

(x+2)+(y+2)+(z+2)=58

x+y+z+6=58

x+y+z=52  -----> equation C

Substitute equation A and equation B in equation C and solve for y

5y+y+y/2=52

Multiply by 2 both sides to remove the fraction

10y+2y+y=104

13y=104

y=8

<em>Find the value of x</em>

x=5(8)=40

<em>Find the value of z</em>

z=8/2=4

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0
3 years ago
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