2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2
Answers
2x^2 +2x-4
——————
2x^2-4x+2
Factor out 2 from the expression
2(x^2+x-2)
—————-
2(x^2-2x+1)
Write x as a difference
2(x^2x-x-2)
—————-
2(x^2-2x+1)
Use a^2-2ab+b^2=(ab)^2
2(x^2x-x-2)
—————-
2(x-1)^2
Reduce the fraction with 2
x^2x-x-2
—————-
(x-1)^2
Factor out x from the expression
X*(x^2)-x-2
—————-
(x-1)^2
Factor out negative sign from the expression
X*(x+2)-(x-2)
—————-
(x-1)^2
Factor out x+2 from the expression
(x+2)(x-1)
—————-
(x-1)^2
Simplify the expression
x+2
——
x-1
Related Questions
Find the slope of the line. Explain or show your reasoning.
Write an equation for the line.
Find the values for and . Explain or show your reasoning.
Answers
Can some one help me solve these please!!
Answers
Answer:
in the picture above.
Step-by-step explanation:
I hope that it's a clear solution and explanation.
Goodluck.
2x+3y+z i dont now how to do it
Answers
Answer:
z = 2 x + 3 y
Step-by-step explanation:
Suppose that the market demand for landscaping services is given by the following equation:Qd = 479 - 3Pwhere Qd is the quantity of residential landscape cleanings per week that people in the local area would be willing to purchase at a monthly price of P dollars.What is the quantity demanded at a price of 39 dollars per month?
Answers
Answer:
Explanation:
Given:
Qd = 479 - 3P
where:
Qd = the quantity of residential landscape cleanings per week that people in the local area would be willing to purchase
P = monthly price in dollars
We plug in the given price of 39 dollars per month into Qd = 479 - 3P. So,
\(\begin{gathered} Qd=\text{ 479-3p} \\ =479-3(39) \\ \text{Simplify} \\ =479-117 \\ Qd=362 \end{gathered}\)Therefore, the quantity demanded at a price of 39 dollars per month is 362.
From the previous question: If you have $20 to spend on the taxi trip, how many miles can you go? Describe how youcould use a graph to solve the problem.
Answers
The equation of the Amount paid for a trip is given by:
\(y=0.5x+3.00\)where x is the number of miles of the trip, while y is the total amount paid for the trip.
If we are to use a graph to solve the problem, we need a table of values first.
We shall choose 5 values for x which range from (0 to 10) in steps of 2.
The corresponding y values must be gotten by substituting these x values into the equation of the trip given above.
\(\begin{gathered} y=0.5x+3.00 \\ \text{when x = 0} \\ y=0.5(0)+3 \\ y=3.00 \\ \\ \text{when x = 2} \\ y=0.5(2)+3 \\ y=1+3=4 \\ \\ \text{when x = 4} \\ y=0.5(4)+3 \\ y=2+3=5 \\ \\ \text{when x = 6} \\ y=0.5(6)+3 \\ y=3+3=6_{} \\ \\ \text{when x = 8} \\ y=0.5(8)+3 \\ y=4+3 \\ y=7 \\ \\ \text{when x = 10} \\ y=0.5(10)+3 \\ y=5+3=\text{ 8} \end{gathered}\)From the calculations done above, we have the coordinates of our graph to be:
(0, 3)
(2, 4)
(4, 5)
(6, 6)
(8, 7)
(10, 8)
Thus, we can create our table of values:
Thus, with this table of values, we can plot the graph. The plotted graph is shown below:
Therefore, the total number of miles you can travel with $20 is 34 miles
2a³b⁴ can you write it as expanded form and please the answer
Answers
Step-by-step explanation:
\( = 2 {a}^{3} {b}^{4} \)
\( = 2 {a}^{3} {b}^{3 + 1} \)
\( = 2b \times {a}^{3} {b}^{3} \)
\( = 2b \times {(ab)}^{3} \)
Step-by-step explanation:
2×a×a×a×b×b×b×b.
hope this may help !
PLEASE help find measure of angle - TEst review today
Answers
Answer:
both measured would be 25 and 19
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if x equals 4 then 21x+4 equals 88 and 23x-4 equals 88 too.
Pumps are used to empty water from two tanks, tank P and tank Q.
Tank P begins with 65 gallons of water and empties at a rate of 6.5 gallons per minute. The amount of water in tank Q is
represented by the equation y = 63.5 - 5.252, where x is the number of minutes the pump has been emptying the
tank.
Which statement is true?
Tank P empties at a faster rate than tank Q and had a lesser starting amount than tank Q.
B Tank P empties at a faster rate than tank Q and had a greater starting amount than tank Q.
Tank P empties at a slower rate than tank Q and had a lesser starting amount than tank Q.
DTank P empties at a slower rate than tank Q and had a greater starting amount than tank Q.
Answers
The rate at which both tanks are emptied is an illustration of a linear function
The true statement is that (b) Tank P empties at a faster rate than tank Q and had a greater starting amount than tank Q.
How to determine the true statementFor tank P, we have:
Starting amount = 65 gallons
Rate = 6.5 gallons per minute
The equation of tank Q is given as: y = 63.5 - 5.2x, so, we have:
Starting amount = 63.5 gallons
Rate = 5.2 gallons per minute
From the above highlights, we conclude that:
Tank P empties at a faster rate than tank Q and had a greater starting amount than tank Q.
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4. Based on the original question, how many quarters and dimes must Jada have?
Answers
By exterior angle property of triangle angle of incidence θ
1
=18
∘
By snell's law n
1
sinθ
1
=n
2
sinθ
2
n
1
= refractive index of air n
2
= retractive index of glass (1) sin18
∘
=1.52sinθ
2
θ
2
=sin
−1
(
1.52
sin18
∘
)
θ
2
=11.73
from the figure
θ
3
=18
∘
+6.27
∘
θ
3
=24.27
∘
By snell's law
n
2
sinθ
3
=n
1
sinθ
4
(1.52)sin(24.27)=sin
4
θ
4
θ
4
=sin
−1
[(1.52)sin(24.27)]θ
4
=38.66
∘
θ=θ
4
−18
∘
θ=38.66
∘
−18
∘
θ=20.66
∘
Answers
The angle of refraction θ is 20.66°.
Using the given information and applying Snell's law, we can find the angle of refraction θ.
Given: Angle of incidence θ1 = 18°, refractive index of air n1 = 1, refractive index of glass n2 = 1.52.
By Snell's law: n1 * sin(θ1) = n2 * sin(θ2).
Substituting the values, we have: 1 * sin(18°) = 1.52 * sin(θ2).
To find θ2, we rearrange the equation: sin(θ2) = (1 * sin(18°)) / 1.52.
Taking the inverse sine (sin^-1) of both sides, we get: θ2 = sin^-1((1 * sin(18°)) / 1.52).
Evaluating this expression, we find: θ2 ≈ 11.73°.
Next, we calculate θ3 by adding the exterior angle of the triangle, which is 6.27°, to the given angle of incidence θ1: θ3 = 18° + 6.27° = 24.27°.
Now, using Snell's law again: n2 * sin(θ3) = n1 * sin(θ4).
Substituting the known values: (1.52) * sin(24.27°) = sin(θ4).
Taking the inverse sine, we find: θ4 = sin^-1[(1.52) * sin(24.27°)].
Calculating this expression, we have: θ4 ≈ 38.66°.
Finally, to find the angle θ, we subtract the given angle of incidence θ1 from θ4: θ = θ4 - θ1 = 38.66° - 18° = 20.66°.
Therefore, the angle of refraction θ is approximately 20.66°.
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please answer this for me <3
Answers
Answer:
I think its D
Step-by-step explanation:
i might be wrong
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
y2 – 5y = 750
750 – y(y – 5) = 0
(y + 25)(y – 30) = 0
Calculate the pay for the following day of a weekly time card given a wage of $16/hr
Answers
The Total Pay for the following Day is $136 in this algebra question.
What is a Time Card?A time card is a piece of cardboard with the hours worked by an employee for a given work week printed on it. The time an employee starts and stops working is often printed on the card when it is entered into a time clock. It is used by the payroll staff to calculate the hours for which an employee shall be paid.
On Monday Morning the work time is from 8:15 to 12:15 is equal to 4 hours.
On Monday Afternoon the work time is from 13:00 to 17:30 is equal to 4.5 hours.
So, total work time is = (4+4.5)hours = 8.5 hours
SInce the given wage is $16/hr
Therefore,
Total Pay for he following day is = 8.5 x 16=$136.
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The radius of a dartboard is 9 inches What is the area of the dartboard in square inches?
Answers
the area of the dartboard is approximately 254.34 square inches.
The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:
Area = π * \(radius^2\)
Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:
Area = π * \(9^2\)
Area = π * 81
To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:
Area ≈ 3.14 * 81
Area ≈ 254.34 square inches
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can you please help me
Answers
The parent factors are the colours white or gray
Below is an image to represent the Tree diagram
It shows that for a white shirt Marcus can buy either a white medium and white large sizes
It also shows that for a gray shirt Marcus can also buy a gray medium and a gray large shirt
With this information, we can conclude that the possible answer to the question is the last OPTION D
4. From the top of a tower 14m high, the angle of depression of a student is 32° Make a scale drawing and find the distance of the student from the foot of the tower to the nearest 1/2
Answers
The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.
Given that From the top of a tower 14m high
The angle of depression of a student is 32°
we can use trigonometry to find the distance from the foot of the tower to the student:
tan(32°) = opposite/adjacent = 14/distance
Rearranging this equation gives:
distance = 14/tan(32°)
= 25.63m
Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.
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The mean starting salary for nurses is 67,694 dollars nationally. The standard deviation is approximately 10,333 dollars. Assume that the starting salary is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. Select an answer b) Find the probability that a randomly selected nurse has a starting salary of 76985.5 dollars or more. c) Find the probability that a randomly selected nurse has a starting salary of 93079.9 dollars or less. d) Find the probability that a randomly selected nurse has a starting salary between 76985.5 and 93079.9 dollars.
Answers
The mean starting salary for nurses is 67,694 dollars, and the standard deviation is approximately 10,333 dollars.
a)The random variable here is the starting salary for nurses, which is normally distributed with a mean of 67,694 dollars and a standard deviation of approximately 10,333 dollars.
b) To find the probability that a randomly selected nurse has a starting salary of 76985.5 dollars or more, we need to find the z-score first and then look up the probability in the standard normal table. The z-score is calculated as:
z = (X - μ) / σ
z = (76985.5 - 67694) / 10333
z = 0.8959
Looking up the probability for a z-score of 0.8959 in the standard normal table, we get:
P(Z > 0.8959) = 0.1852
Therefore, the probability that a randomly selected nurse has a starting salary of 76985.5 dollars or more is 0.1852.
c) To find the probability that a randomly selected nurse has a starting salary of 93079.9 dollars or less, we again need to find the z-score and look up the probability in the standard normal table. The z-score is calculated as:
z = (X - μ) / σ
z = (93079.9 - 67694) / 10333
z = 2.4707
Looking up the probability for a z-score of 2.4707 in the standard normal table, we get:
P(Z < 2.4707) = 0.9937
Therefore, the probability that a randomly selected nurse has a starting salary of 93079.9 dollars or less is 0.9937.
d) To find the probability that a randomly selected nurse has a starting salary between 76985.5 and 93079.9 dollars, we need to find the z-scores for both values and then find the probability between those z-scores in the standard normal table. The z-scores are:
z1 = (76985.5 - 67694) / 10333 = 0.8959
z2 = (93079.9 - 67694) / 10333 = 2.4707
Using the standard normal table, we can find the probability between these z-scores as:
P(0.8959 < Z < 2.4707) = P(Z < 2.4707) - P(Z < 0.8959)
= 0.9937 - 0.1852
= 0.8085
Therefore, the probability that a randomly selected nurse has a starting salary between 76985.5 and 93079.9 dollars is 0.8085.
The mean starting salary for nurses is 67,694 dollars, and the standard deviation is approximately 10,333 dollars. By calculating the z-scores for different salary values and looking up the probabilities in the standard normal table, we can find the probabilities for different events, such as a nurse having a starting salary of 76985.5 dollars or more, a nurse having a starting salary of 93079.9 dollars or less, and a nurse having a starting salary between 76985.5 and 93079.9 dollars. All probabilities are rounded to four decimal places.
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Which expression is equivalent to (-4x²)³?
-12x6
-12x5
-64x6
-64x5
Answers
Answer:
-64x^6
Step-by-step explanation:
A cylinder has a radius of 6 inches and height of 3 and 3/4 inches. A sphere has a radius of 6 inches. What is the difference between the volume, to the nearest tenth of a cubic inch of the cylinder and sphere
Answers
Answer:
Difference = 480.9 in³
Step-by-step explanation:
Given
Cylinder;
Height, h = 3¾ inches
Radius, r₁ = 6 inches
Sphere
Radius, r₂ = 6 inches
The volume of a cylinder is calculated as thus
Volume, V₁ = πr₁²h
The volume of a sphere is calculated as this
Volume, V₂ = 4/3 πr₂³
Calculating the volume of the cylinder
V₁ = πr₁²h becomes
V₁ = π * 6² * 3¾
V₁ = π * 36 * 3¾
V₁ = π * 36 * 15/4
V₁ = π * 540/4
V₁ = π * 135
V₁ = 135π in³
Calculating the volume of the sphere
V₂ = 4/3 πr₂³ becomes
V₂ = 4/3 * π * 6³
V₂ = 4/3 * π * 216
V₂ = 864/3 * π
V₂ = 288π in³
The difference between the volume is calculated as thus.
Difference = V₂ - V₁
Difference = 288π - 135π
Difference = 153π
Take π as 22/7
Difference = 153 * 22/7
Difference = 480.9 in³ (Approximated)
Multiply: -z^3(5 + z - 4z^2)
Answers
Answer:
4z^5 - z^4 - 5z³
Step-by-step explanation:
-5z³ - z^4 + 4z^5
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
0
9
12
16
Answers
Answer:
The graph y = 18x2 + mx + 2= 12
So the answer is 12
The value of m does the graph of y = 18 x² + m x + 2 have exactly one x-intercept is 12.
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
We have Equation.
y = 18 x² + m x + 2
Now, to find exactly one intercept we will use Discriminant Method as
D = m² - 4 x 18 x 2 = 0
m² - 144 = 0
m² = 144
m = -12 or m = 12
Thus, the required value of m is 12.
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In an experiment, the variable that is manipulated is called the...
a) Independent variable.
b) Dependent variable.
c) Independant variable.
d) Confounding variable.
Answers
The dependent variable depends on other factors and cannot stand alone in means of measurements.
lucas wants to enlargea 3-by 5-inch photo to a 7 1/2 by 12 1/2 inch photo. what is the scale factor of the dilation
show work
Answers
Answer:
2.5
Step-by-step explanation:
You want the dilation factor that enlarges a 3×5 inch photo to a 7.5×12.5 inch photo.
Dilation factorThe dilation factor is the ratio of corresponding dimensions:
enlargement factor = 7.5/3 = 2.5
The dilation factor is 2.5.
Pls help me out with this stupid question
Answers
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
Answer:
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
"credit goes to unknown76th"
Step-by-step explanation:
Suppose triangle ABC will be dilated using the rule D Subscript Q, two-thirds.
Point Q is the center of dilation. Triangle A B C is 6 units away from point Q. The length of A B is 3, the length of B C is 7, and the length of A C is 8.
What will be the distance from the center of dilation, Q, to the image of vertex A?
2 units
3 units
4 units
6 units
Answers
The distance from the center of dilation, Q, to the image of vertex A will be 4 units.
According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.
Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.
By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x 3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.
Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.
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35/7•5+2
Help with math
Simplify
Answers
Answer:
27, correct me if im wrong
Step-by-step explanation:
Answer:
35/7 = 5
5*5 = 25
25+2 = 27
Step-by-step explanation:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
Answers
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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miss patel thinks her class of 20 students will average 95 on a math test. Before she grades the last students test, the class average is 97. What is the lowest possible score on the 20th test for the class to average 95
Answers
Answer:
see below
Step-by-step explanation:
\(\text{Average = total points / total students}\)
\(95 = (19\times97 + \text{x}) \div 20\)
\(1900 = 1843 + \text{x}\)
\(\text{x} = 57\)
\(\text{The lowest the last test score can be for the whole class to average a 95 is} \0 \ \bold{57.}\)
PLEASE HELP ASAP!
Given f(x)= -9x^2 - x - 7 and g(x)= 8x² + 3x – 3, find (f-g)(x).
Answers
naledi climbed up a mountain. Her initial altitude is 40 meters above sea level, and increased by 10 meters per hour. let g(n) be naledi altitude at the beginning of nth hour of her climb. g is a sequence. what kind of sequence is it. arithmetic or geometric sequence? complete the recursive formula for g(n). g(1)= ? g(n) = g(n-1) (+ or *) ?
Answers
Answer: \(U_{n} =(40)+(n-1)(10)\)
Step-by-step:
\(U_{n} =a+(n-1)d\)
a = 40
d = 10
\(U_{n} =(40)+(n-1)(10)\) is the formula for nth hour