Given that g(x)=10x^2-100x+213 in vertex form is:
g(x)=10(x-5)2-37
The vertex form of an equation is given by the formula:
f(x)=a(x-h)^2+k
where the vertex is:
(h,k)
Therefore fro our expression the vertex of g(x) is (5,-37)
Answer:
120 pounds
Step-by-step explanation:
1. divide 45 by 15
45 / 15 = 3
2. Each box costs 3 pounds each
3. multiple 3 by 40.
4. 40 x 3 = 120
Answer:
sin(-255°) = √2 + √6/4
Step-by-step explanation:
We need to find sin -255°
We know that sin(-a) = - sin(a)
so, sin(-255°) = - sin 255°
We know that 180° + 75° = 255°
Now we can write sin(255°) = sin(180° + 75°)
We can use the identity:
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
x = 180° , y = 75°
Solving,
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
sin(180° + 75°) = sin(180°) cos(75°)+cos(180°)sin( 75°)
sin(180°) = 0
cos(75°) = √6 -√2/4
cos(180°) = -1
sin( 75°) = √2 + √6/4
Putting values,
sin(180° + 75°) = 0 (√6 -√2/4) + (-1)(√2 + √6/4)
sin(180° + 75°) = -(√2 + √6/4)
We know that sin(-255°) = -sin(255°)
Putting value of sin(255°)
sin(-255°) = -(-(√2 + √6/4))
sin(-255°) = √2 + √6/4
Answer:
<h2>Time is the independent variable and Height of the Grass is the dependent variable.</h2>
Step-by-step explanation:
The graph is about the height of the grass thourgh time, that means Brady is analysing how long it takes to the grass to grow.
It's important to know that time is a variable which doesn't depends on any other variabel, that is, it's an independent variable all the time.
Therefore, Time is the independent variable and Height of the Grass is the dependent variable.
This is just simple deduction, because the grass grows through time, it doesn't happen in the opposite way, time doesn't change accoring to the height of the grass.
Answer:
(Thermometer B reading - Thermometer A reading)
Step-by-step explanation:
The thermometer reading aren't given in the question.
However, hypothetically.
The difference between two temperature values (morning and evening values) would be :
Temperature in the evening - morning temperature
Therefore,
If ;
Thermometer A reading = morning temperature
Thermometer B reading = evening temperature
Difference in the temperature :
(Thermometer B reading - Thermometer A reading)
