Answer:
The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.
Step-by-step explanation:
To solve, first solve the equation for the absolute value portion of the equation.
2|x| + 1 < 5
2|x| < 4
|x| < 2
Now since there is an absolute value around it, we have to complete it for the positive and negative versions.
x < 2 OR x > -2
Okay so you have to do 5 times 10 then you will have to do 8 time 8 times 40 so after you get your answer you would do the ratio 50 to 320
50:320
Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
Answer:
Only C) The function is increasing on the interval (-2,∞)
Step-by-step explanation:
As we know square root function is only defined for all the value of x greater than or equal to 0 . That being said, the function is undefined on the interval <em>(</em><em>-</em><em>∞</em><em>,</em><em>-</em><em>2</em><em>)</em><em>,</em><em>(</em><em>-</em><em>∞</em><em>,</em><em>0</em><em>)</em><em> </em>.So we can eliminate a) and b).As for the second option, Although interesting, It's incorrect. On the interval (-2,∞) , it's increasing not decreasing. Hence, Option C is correct!
Question:
Find the gradient of the line passing through (6,8) and (4,10).
Answer:
-1 is the right answer.
Step-by-step explanation:
Slope of the line = The gradient of the line
Gradient of the line is known as change in the value of y-axis by change in the value of x-axis
Gradient = ∆y\∆x