Answer:
a) vertical translation: up five units
b) horizontal translation: right 2 units
c) vertically stretched by 3 units
Step-by-step explanation:
https://www.humbleisd.net/cms/lib2/TX01001414/Centricity/Domain/3611/Square%20Root%20Graphs%202015.pdf
Answer:
A = 219
C = 362
Step-by-step explanation:
Given,
581 = C + A
and
$1090.50 = 1.5C + 2.5A
solve 1st for A
A =581 - C
substute into 2nd
1090.50 = 1.5C + 2.5(581 - C)
solve for C
1090.50 = 1.5C + 1452.50 - 2.5C
1090.50 = -C + 1452.50
1090.50 - 1452.50 = -C
-362 = -C
C = 362
then
581 = C + A
581 = 362 + A
219 = A
A = 219
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
Answer:
He drove 111 miles
If we were given the distance Lan drove last weekend instead off how much gas he used then we would have to find the amount of gas used by lan.
Step-by-step explanation:
Ian's car can go 185 miles on 5 gallons of gas
On 5 gallons of gas lan's car can go 185 miles
Therefore in gallon of gas lan 's car can go
185/5 = 37
So, for 3 gallons of gas lan's car can go
3 × 37 = 111
for 3 gallons of gas lan's car can go 111 miles
If we were given the distance Lan drove last weekend instead off how much gas he used then we would have to find the amount of gas used by lan.
<span>1) Equation for the parabola y = - x² + 36.
</span>
<span>2) A drone is in the distance, flying upward in a
straight line. It intersects the rainbow at two points. Choose the
points where your drone intersects the parabola and create a table of at
least four values for the function.
</span>
<span>The points of intersection will be: (0,36) and (4, 20)
</span><span>
</span>
T<span>able of values
for a linear function and the parabola
</span>
<span>x linear function parabola y = - x² + 36
</span>
<span>0 36 (0)² + 36 = 36
</span>
<span>1 32 - (1)² + 36 = 35
</span>
<span>2 28 - (2)² + 36 = 32
</span>
<span>3 24 -3² + 36 = 27
</span>
<span>4 20 -4² + 36 = 20
</span>
It
is a linear function because the rate of change is constant: for each
increase of 1 unit in x, there is a decrease of 4 units in y: ⇒ slope = - 4
Remember to include the two points
of intersection in your table. Analyze the two functions; they are there (0,36) and (4, 20)
Answer the
following reflection questions in complete sentences. What is the domain
and range of the rainbow?
Explain what the domain and range represent.
Do all of the values make sense in this situation? Why or why not? What
are the x- and y-intercepts of the rainbow? Explain what each intercept
represents.
The domain is all the real values of x between - 6 and 6: - 6 ≤ x ≤ 6
The range is all the values between 0 and 36: 0 ≤ y ≤ 36
The domain represents the horizontal distance between the extremes of the rainbow at the ground.
The range represents: the altitude of the rainbow from the ground (y = 0). The height is at x = 0, y = 36.
The x-intercepts are - 6 and 6, that is the opening of the rainbow at the ground level.
The y-intercept is when x = 0, it is y = 36, and is the height of the rainbow.
Is the linear function you created positive or negative?
Explain. What are the solutions or solution to the system of equations
created? Explain what it or they represent.
The linear function is positive and decreasing. It is positive because it goes above the x-axis, this is y ≥ 0.
The solutions where already signaled: (0,6) and (4, 20). They are the points at which the drone intercepts the rainbow.
