Hey there! :)
-(3x)² + 3 = -6
Simplify.
-(9x²) + 3 = -6
Simplify.
-9x² + 3 = -6
Subtract 3 from both sides.
-9x² = -6 - 3
Simplify.
-9x² = -9
Divide -9 from both sides.
-9x² ÷ -9 = -9 ÷ -9
Simplify.
x² = 1
So, x = 1 OR x = -1
~Hope I helped!~
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Hello!
A unit rate is the total cost for a single item.
Example: 10 dollars for 2 brooms (idk xD)
You would divide it. 10 ÷ 2 = 5
It would be 5 dollars for 1 broom
^ Unit rate
Hope this helps! Have a lovely day! ~Pooch ♥
Pick 2 sets of points from ur table...
(-4,-16)(-2,-6)
slope = (y2 - y1) / (x2 - x1)
slope = (-6 - (-16) / (-2 - (-4) = (-6 + 16) / (-2 + 4) = 10/2 = 5
u could pick any 2 of ur sets of points.....it will come out the same...let me show you...
(2,14)(4,24)
slope = (y2 - y1) / (x2 - x1)
slope = (24 - 14) / (4 - 2) = 10/2 = 5...see, it is the same no matter what 2 sets of points u choose)
Answer:
m∠B ≈ 51.5°
Step-by-step explanation:
A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.
<h3>Length BC</h3>
The Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529
a ≈ 24.8903
<h3>Angle B</h3>
The Law of Sines tells us ...
sin(B)/b = sin(A)/a
B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)
B ≈ 57.519°
The measure of angle B is about 57.5°.
