Answer:
Step-by-step explanation:
y = ax² + bx + c
Plug the points into the equation to get a system of 3 equations with 3 unknowns a, b, and c.
-27 = 4a - 2b + c
-42 = 9a + 3b + c
-12 = a + b + c
(a,b,c) = (-4,1,-9)
y = -4x² + x - 9
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
Answer:
False
Step-by-step explanation:
A number that can expressed as 
,
Where, p and q are integers such that q ≠ 0, is called a rational number.
Also, a decimal number with repeating pattern is a rational number,
( for eg : 0.333.... = 
)
Since,
√3 = 1.73205080757.....
∴ There is no repeating pattern
Thus, √3 is not a rational number.
Given statement is FALSE.
Answer:
<h3>A. y=-2x+3z+25</h3>
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
<u>To solve:</u>
<h3>2x+y-3z=25</h3>
<u>First, you have to subtract by 2x-3z from both sides.</u>
<u>Solve.</u>
- <u>Therefore, the correct answer is "A. y=-2x+3z+25".</u>
I hope this helps, let me know if you have any questions.
Answer:
32
Step-by-step explanation:
<em>The ray created by line BC has two </em><u><em>180° sides</em></u><em>. Side </em><em>AC</em><em> intersects this ray and forms two angles. We can find this second angle by subtracting </em><em>148 </em><em>from </em><em>180 </em><em>to get </em><em>32</em><em>.</em>
