The complete question in the attached figures N 1 and N 2
we have that
<span>the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure N 3
the answer is the option
</span><span>
B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.</span>
The answer is A) x=0.3
Step-by-step explanation:
Move all terms containing xx to the left side of the equation.
14x−15.4=−11.2
Move all terms not containing x to the right side of the equation.
14x=4.214x=4.2
Divide each term by 14 and simplify
x=0.3
Hey ! there
Answer:
- <u>1</u><u>1</u><u>3</u><u>.</u><u>0</u><u>4</u><u> </u><u>unit </u><u>cube</u>
Step-by-step explanation:
In this question we are provided with a sphere <u>having</u><u> </u><u>radius </u><u>3 </u><u>units </u>and <u>value </u><u>of </u><u>π </u><u>is </u><u>3.</u><u>1</u><u>4</u><u> </u><u>.</u><u> </u>And we're asked to find the<u> </u><u>volume</u><u> of</u><u> </u><u>sphere</u><u> </u><u>.</u>
For finding volume of sphere , we need to know its formula . So ,
<u>Where</u><u> </u><u>,</u>
- π refers to <u>3.</u><u>1</u><u>4</u>
- r refers to <u>radius</u><u> of</u><u> sphere</u>
<u>Sol</u><u>u</u><u>tion </u><u>:</u><u> </u><u>-</u>
Now , we are substituting value of π and radius in the formula ,
Simplifying it ,
Cancelling 3 with 3 :
We get ,
Multiplying 4 and 3.14 :
Multiplying 12.56 and 9 :
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u> </u><u>having </u><u>radius </u><u>3 </u><u>units </u><u>is </u><em><u>1</u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>.</u></em><em><u>0</u></em><em><u>4</u></em><em><u> </u></em><em><u>units </u></em><em><u>cube </u></em><em><u>.</u></em>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
∠1 = 180° - (72 + 57)° = 180° - 129° = 51°
The right angle at the left vertex is composed of 72° and ∠2, thus
∠2 = 90° - 72° = 18°
57° and ∠3 form a straight angle and are supplementary, thus
∠3 = 180° - 57° = 123°
∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle
∠4 = 180° - (18 + 123)° = 180° - 141° = 39°
Answer:
• The function is a linear function
• The function changes at a constant rate
Step-by-step explanation:
A graph of the function shows it to be a straight line (linear function). Such a function always changes at a constant rate. The line goes downward to the right, so the function is a decreasing function.
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"changes at a constant rate" and "linear function" are two different ways of saying the same thing: the graph of the function is a straight line.
