Factoring Special Forms & Polynomial Equations Questionnaire

Find the formula for the area of the shaded region and express it in factored form.D
L
6
h 6
5x
The area of the shaded region is
(Do not factor)
h
Find the formula for the area of the shaded region and express it in factored
form.
L
6
5x
1
1
5x
The area of the shaded region is 25×2 – 36.
(Do not factor.)
The area of the shaded region is
(Factor completely.)
Find the formula for the area of the shaded region and express it in factored
form.
6
5x
6
1
그
5x
The area of the shaded region is 25×2 – 36.
(Do not factor.)
The area of the shaded region is * That’s incorrect.
(Factor completely.)
Х
Correct answer: (5x + 6)(5x-6)
Your answer: (lxb) – (lxb)
Similar Question
OK
x 5.5.107
4
Find the formula for the area of the shaded region and express it in factored
form.
다.
1
2
5x
1
1
5x
The area of the shaded region is
(Do not factor.)
x 5.5.107
4
Find the formula for the area of the shaded region and express it in factored
form.
다.
1
2
5x
1
1
5x
The area of the shaded region is
(Do not factor.)
400-
300-
A ball is thrown straight up from a rooftop 256 feet high. The
formula below describes the ball’s height above the ground, h,
in feet, t seconds after it was thrown. The ball misses the
rooftop on its way down and eventually strikes the ground. How
long will it take for the ball to hit the ground? Use this
information to provide tick marks with appropriate numbers
along the horizontal axis in the figure shown.
h= – 162 +967 + 256
200-
100-
04
0
The ball hits the ground after
seconds.
h
400-
300-
A ball is thrown straight up from a rooftop 256 feet high. The
formula below describes the ball’s height above the ground, h,
in feet, t seconds after it was thrown. The ball misses the
rooftop on its way down and eventually strikes the ground. How
long will it take for the ball to hit the ground? Use this
information to provide tick marks with appropriate numbers
along the horizontal axis in the figure shown.
h = – 1672 +967 + 256
200-
100-
0
0
The ball hits the ground after 6
x
X That’s incorrect.
The given equation describes the conditions of the problem. Solve the equation by
factoring and then applying the zero-product principle.
OK
A rectangular parking lot has a length that is 5 yards greater than the width. The area of the parking lot is 300 square yards. Find the length and the w
The parking lot has a width of 50 yards.
Х
X That’s incorrect.
Write an equation to describe the conditions of the problem. Solve the equation by
factoring and then applying the zero-product principle.
OK
Use the compound interest formula A = P(1 + r) to find the annual interest rate, r, if in 2 years an investment of $3,000 grows to 54,320
The rate is
%
The function s(t) = 16+ models the distance, s(t), in feet, that an object falls in t seconds. Use this function and the square root property to solve the given
problem. Express answers in simplified radical form. Then use a calculator to find a decimal approximation.
A sky diver jumps from an airplane and falls 5120 feet before opening a parachute. For how many seconds was the diver in a free fall?
The sky diver was in a free fall for seconds
(Simplify your answer. Type an exact answer, using radicals as needed.)
The function s(t) = 16+ models the distance, s(t), in feet, that an object falls in t seconds. Use this function and the square root property to solve the given
problem. Express answers in simplified radical form. Then use a calculator to find a decimal approximation.
A sky diver jumps from an airplane and falls 3872 feet before opening a parachute. For how many seconds was the diver in a free fall?
The sky diver was in a free fall for seconds.
(Simplify your answer. Type an exact answer, using radicals as needed.)
A 15-foot ladder is leaning against a building, with the base of the ladder 6
feet from the building. How high up on the building will the top of the ladder
reach?
The ladder will reach ft high up on the building.
(Simplify your answer. Type an exact answer, using radicals as needed.)
15 ft
6 ft
A 14-foot ladder is leaning against a building, with the base of the ladder 5 The ladder will reach ft high up on the building.
feet from the building. How high up on the building will the top of the ladder (Simplify your answer. Type an exact answer, using radicals as needed.)
reach?
14 ft
Compute the discriminant. Then determine the number and type of solutions for the given equation.
x2 + 12x + 2 = 0
The value of the discriminant is (Simplify your answer.)
The length of a rectangle is 3 meters longer than the width. If the area is 35 square meters, find the rectangle’s dimensions. Round to the nearest tenth of
a meter
The width is
(Round to the ne
meters.
cubic meters
square meters.
The length of a rectangle is 3 meters longer than the width. If the area is 35 square meters, find the rectangle’s dimensions. Round to the nearest tenth
a meter
The width is 7.6 meters.
(Round to the nearest tenth.)
Х
x
One or more of your responses is incorrect.
At least one of your answers is incorrect. Start by setting up an equation for the
area in relationship to the width. Note that Area = Length Width. Then use the
– b + b2 – 4ac
quadratic formula x =
2a
to solve for the dimensions of the rectangle.
Be sure to select the appropriate unit for the width of the rectangle.
OK
The length of a rectangle is 4 meters longer than the width. If the area is 30 square meters, find the rectangle’s dimensions. Round to the nearest tenth of
a meter.
The width is
(Round to the nearest tenth.)
Consider the function f(x) = 2×2 – 16x-5.
a. Determine, without graphing, whether the function has a minimum value or a maximum value.
b. Find the minimum or maximum value and determine where it occurs.
c. Identify the function’s domain and its range.
a. The function has a minimum value.
b. The minimum/maximum value is
It occurs atx=1
The graph of a rational function, f, is shown in the figure. Explain how the graph shows that f(-2) does not exist
-6
Choose the correct explanation below.
O A. The graph has a vertex at the x-coordinate of -2.
OB. There is a vertical asymptote at x = -2, so the rational function will always approach x= -2, but will never equal x= -2.
OC. There is no point on the graph with a y-coordinate of – 2
OD. There is a horizontal asymptote at x= -2, so the rational function will always approach x= -2, but will never equal x= -2.
6.1.19
The graph of a rational function, f, is shown in the figure. Use the graph to find the domain and range of f.
AY
What is the domain off?
(Type your answer in interval notation.)
The graph of a rational function, f, is shown in the figure. Use the graph to find the domain and range of f.
What is the domain off?
|(-1,00)
(Type your answer in interval notation.)
-6-
Х
x
That’s incorrect.
Correct answer: (-00,-1)U(-1,1)U(1,00)
Your answer: (-1,00)
OK
X 6.1.19
AY
The graph of a rational function, f, is shown in the figure. Use the graph to find the domain and range of f.
What is the domain off?
(Type your answer in interval notation.)
– 12
18
12
The graph of a rational function, f, is shown in the figure. Use the graph to find the domain and range of f.
What is the domain off?
(-0, – 4) ( – 4,4) (4,0o)
(Type your answer in interval notation)
-12
8
What is the range of f?
[(-2,- 00)U( – 2,00)
(Type your answer in interval notation.)
Х
X
That’s incorrect.
Correct answer
(-00,-2)[0,00)
(-2,-)U(-2,00)
Your answer
Similar Question
Next Question
The graph of a rational function, f, is shown in the figure. Use the graph to find the domain and range of f.
What is the domain off?
(Type your answer in interval notation.)
240x
The function f(x) =
100 – X
models the cost, f(x), in millions of dollars, to remove x% of a river’s pollutants. If the government commits $135 million for this project, what percentage of the pollutants can be removed?
% of the pollutants can be removed.
y varies directly as x. y = 28 when x = 2. Find y when x = 17.
y =
(Simplify your answer.)
y varies inversely as x.y = 27 when x=5. Find y when x= 3.
(Simplify your answer.)
ya
Write an equation that expresses the relationship. Solve the equation for F.
D varies jointly as F and Z.
Write an equation that expresses the relationship.
D =
Write an equation that expresses the relationship. Solve the equation for A.
Dvaries jointly as A and G.
Write an equation that expresses the relationship.
D=
Write an equation that expresses the relationship. Then solve the equation for c.
t varies directly as the cube of u and inversely as c.
t =
(Use k as the constant of variation.)
6.8.13
Write an equation that expresses the relationship. Then solve the equation for c.
t varies directly as the cube of u and inversely as c.
ku
t=
(Use k as the constant of variation.)
Х
X That’s incorrect.
ku
Correct answer:
с
ku
Your answer:
OK
Write an equation that expresses the relationship. Then solve the equation for g.
v varies directly as the cube of u and inversely as g.
v=
(Use k as the constant of variation.)
The distance that a spring will stretch varies directly as the force applied to the spring. A force of 6 pounds is needed to stretch a spring 4 inches. What force is required to stretch the spring 14 inches?
The required force to stretch the spring 14 inches is
(Simplify your answer.)