Question 19 of 25What is the factorization of the polynomial below?2-3x-40-A. (x+8)(x+5)B. (x-8)(x+5)C. (x-8)(x-5)D. (x+8)(x - 5)← PREVIOUSSUBMIT
Answers
...
SOLUTION
\(x^2-3x-40\)Get two numbers whose sum and product are -3 and -40 respectively;
\(The\text{ numbers are -8 and 5}\)To factorize;
\(\begin{gathered} x^2-8x+5x-40 \\ x(x-8)+5(x-8) \\ (x+5)(x-8) \end{gathered}\)OPTION B IS THE CORRECT ANSWER.
Related Questions
34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work
Answers
Answer:
Sale price of video game with tax = $20.3775
Yes, they both have enough money to purchase the video game.
Step-by-step explanation:
Given that:
Original price of video game = $28.50
Discount on original price = 35%
Sales tax = 10%
Money available with Pat and Henri = $21 each
First of all, let us find out the price as per Pat's method.
Step 1:
Taking 35% of $28.50
\(\Rightarrow \dfrac{35}{100}\times \$28.50 = \$9.975\)
Step 2:
Subtract from $28.50 to find the sale price:
$28.50 - $9.975 = $18.525
Step 3:
Take 10% of sale price:
\(\$18.525\times \dfrac{10}{100} = \$1.8525\)
Step 4:
Add to sale price to get the final amount to be paid:
$18.525 + $1.8525 = $20.3775
Now, let us use Henri's method:
Step 1:
Find 65% of original price:
\(\dfrac{65}{100}\times $28.50 = \$18.525\)
Step 2:
Find 110%:
\(\dfrac{110}{100}\times \$18.525 = \bold{\$20.3775}\)
Sale price of video game with tax = $20.3775
Yes, they both have enough money to purchase the video game.
A sum of money doubles itself in 10 years. Find the rate percent per annum.
Answers
Given:
Principal = P
Amount = 2P
Time 10 years
Required:
Rate percent per annum.
Explanation:
The amount is given as,
\(A\text{ = P + I}\)Interest is calculated as,
\(\begin{gathered} I\text{ = }\frac{PR\times10}{100} \\ A-P\text{ = }\frac{PR\times10}{100} \\ 2P-P=\frac{PR\times10}{100} \\ \end{gathered}\)The rate of interest is calculated as,
\(\begin{gathered} P\text{ = }\frac{PR}{10} \\ R\text{ = 10} \end{gathered}\)Answer:
Thus the rate of interest is 10%.
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answers
Answer:
224
Step-by-step explanation:
360.-136.
For the point P(-20,7) and Q(-13,12), find the distance d(P,Q) and the
coordinates of the midpoint M of the segment PQ.
Answers
Distance
\(d(P,Q)=\sqrt{(-20-(-13))^2+(7-12)^2} \\ \\ =\sqrt{49+25} \\ \\ =\boxed{\sqrt{74}}\)
Midpoint
\(M=\left(\frac{-20-13}{2}, \frac{7+12}{2} \right)=\boxed{\left(-\frac{33}{2}, \frac{19}{2} \right)}\)
Help. Came up with 3 different answers.
Answers
Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answers
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
Write the equation "Gideon buys 4 shirts for $x a piece. He spends 90."
Answers
The equation representing the given situation is 4x=90, where x represents the cost of one shirt.
The given equation "Gideon buys 4 shirts for $x a piece. He spends 90" represents a linear relationship between the number of shirts purchased and the total amount spent.
To understand this equation, we can break it down as follows:
Gideon buys 4 shirts for $x a piece: This means that each shirt costs $x, and Gideon buys four of them. So, the total cost of the shirts would be 4x dollars.
He spends 90: This means that the total amount spent by Gideon on the four shirts is $90.
Now, we can write an equation by equating the total cost of the shirts (4x dollars) to the total amount spent (90 dollars).
4x = 90
To solve for x, we can divide both sides by 4:
x = 22.5
Therefore, each shirt costs $22.5, and Gideon spent a total of $90 on four shirts.
Therefore, the equation is 4x = 90.
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HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
Answers
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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Question 101 point)
Find the slope of a line that passes through the following points
(4,9) ,(2,4)
A. 5/2
B. -5/2
C. 2/5
D. -2/5
Answers
Answer:
A. 5/2
Step-by-step explanation:
Finding slope is Y1 - Y2 over X1 - X2
so, 9 - 4 over 4 - 2
= 5/2
Answer:
A. 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (4, 9)
Point (2, 4)
Step 2: Identify
(4, 9) → x₁ = 4, y₁ = 9
(2, 4) → x₂ = 2, y₂ = 4
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{4-9}{2-4}\)[Slope] Subtract: \(\displaystyle m=\frac{-5}{-2}\)[Slope] Simplify: \(\displaystyle m=\frac{5}{2}\)(0, 9)₂
What is the equation of a line that is parallel to y = 6x + 7 and passes through (0,
Enter your equation in the box.
Answers
Answer:
y = 6x+9
Step-by-step explanation:
Equations that are parallel have the same slope
y = 6x+7 is written in slope intercept form where the slope is 6 and the y intercept is 7
The lines will have a slope of 6
The point (0,9) is the y intercept because the x value is 0
We can write the equation in slope intercept form y = mx+b
y = 6x+9
Answer:
Hello! The answer is y = 6x + 9.
Step-by-step explanation:
When lines are parallel, they will have the same slope but a different y-intercept.
The y-intercept, in this case, would be (0, 9) since the x-coordinate equals 0. This leaves us with 9 as the y-intercept.
Our slope-intercept form equation will be written as:
y = 6x + 9
x1: let p, q be two points on s. suppose that the plane containing p q and 0 makes a great circle l. show that the two arc lengths made by this circle have lengths and where is the measure of the .
Answers
The measure of the arc lengths made by this circle is = \(\pi\)/4
What is Arc length of Circle?
Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the total length of the curved line that forms the arc.
Arc Length Formula (if is in degrees) is the formula to calculate the length of an arc.
s = 2 π r (θ/360°) Arc Length
Formula: s = r (if it in radius).
d = (P, Q)
x₁ = √2/4
= -1.414/4
x₂ =√3-1/4
= 0.732/4
y₁ = √2/4
= -1.414/4
y₂ =√3-1/4
= 0.732/4
z₁ = 2√3/4
= 3.464/4
z₂ =√2+√6
= 3.863/4
d = \(\sqrt{1/16}[co.73+1.41]^{2} + [0.73 +1.41]^{2} + [3.86 - 3.46]^{2}\)
d = \(\sqrt{1/16} (2.14)^{2} + ( 2.14)^{2} + (0.4)^{2}\)
d = \(\pi\)/4
The measure of the arc lengths made by this circle is \(\pi\)/4
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Need help with 7+2=16-?
Answers
Answer:
no 7+2 is 9 so yeah ;)))))))))))))))
Brainlest and points need help math
Answers
Explanation:
14x3.14=43.96in^2
2
5. Many people believe that criminals who plead guilty tend to get lighter sentences than those
who are convicted in trials. The accompanying table summarizes randomly selected sample
data for defendants in burglary cases in a specific city. All of the subjects had prior prison
sentences. Use a 0.05 significance level to find the critical value needed to test the claim that
the sentence (sent to prison or not sent to prison) is independent of the plea.
Sent to prison
Not sent to prison
Guilty Plea
392
564
Not-Guilty Plea
58
14
(1 point)09.488
03.841
042.557
05.991
Answers
Answer:
Is 03.841
Step-by-step explanation:
To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.
In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.
To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.
The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.
Therefore, the correct answer is 03.841.
A binary star system consists of two stars of masses m1 and m2. The stars, which gravitationally attract each other, revolve around the center of mass of the system. The star with mass mi has a centripetal acceleration of magnitude a1.
Find a2, the magnitude of the centripetal acceleration of the star with mass m2 Express the acceleration in terms of quantities given in the problem introduction.
Answers
Answer:
a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²
Step-by-step explanation:
Since the gravitation force of attraction of the center of mass on m₁ equals the centripetal force, then
G(m₁ + m₂)m₁/R₁ = m₁a₁ where (m₁ + m₂) = total mass of the system and R₁ = distance of m₁ from the center of mass
So, G(m₁ + m₂)m₁/R₁² = m₁a₁
G(m₁ + m₂)m₁/m₁a₁ = R₁²
R₁² = G(m₁ + m₂)/a₁
R₁ = √[G(m₁ + m₂)/a₁]
The distance of m₂ from the center of mass is thus R₂ = R - R₁ = R - √[G(m₁ + m₂)/a₁] where R is the distance between the two stars.
Also, the gravitation force of attraction of the center of mass on m₂ equals the centripetal force, then
G(m₁ + m₂)m₂/R₂ = m₂a₂ where (m₁ + m₂) = total mass of the system and R₂ = distance of m₂ from the center of mass
So, G(m₁ + m₂)m₂/R₂² = m₂a₂
G(m₁ + m₂)m₂/m₂R₂² = a₂
a₂ = G(m₁ + m₂)/R₂²
Substituting R₂ into the equation, we have
a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answers
Answer:
2000
Step-by-step explanation:
Suppose that u and v are two vectors with |u| = 1, |v| = 3 and u · v = −2.
a. Compute |u + v|.
b. Compute |(u + 2v) × v|.
Answers
a. |u + v| = 4
b. |(u + 2v) × v| = 16
What are vectors?Vectors are known as quantities having both magnitude and direction.
Given that;
|u| = 1 |v| = 3 u · v = −2a. |u + v|
Substitute the values of the vectors
|u + v| = 1 + 3
|u + v| = 4
b. |(u + 2v) × v|
Expand the bracket
|u. v + 2v² |
But u. v = -2
We then have;
-2 + 2(3)²
-2 + 2(9)
-2 + 18
16
Thus, the values are 4 and 16 respectively.
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The amount that Gretchen charges for babysitting is proportional to the number of hours she babysits. She charges $18 to babysit for
1.5 hours
Which equation relates the amount Gretchen charges in dollars, c, and the amount of time in hours that she babysits, h?
Answers
Answer:
Gretchen charges $12 dollars per hour
Step-by-step explanation:
$18/1.5=$12
Hello help math math math
Answers
Answer:
S=N+2
Step-by-step explanation:
Just a heads up I don't think that this is correct
If Susan is 2 years older than Nancy then N=S-2 which stands for Nancy is 2 years yonger than Susan. So for the bottom eqaution, if Susan is 2 years older than Nancy then that should be S=N+2 to stand for the fact that Susan is 2 years older than Nancy.
I AM SO SORRY IF THIS ISN'T CORRECT
-dani <3
Answer:
S=N+2
Step-by-step explanation:
helppp!! thank youuuuu
Answers
Step-by-step explanation:
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I need help with this question
Answers
Can I get Brainly
What’s the slope I need help
Answers
Answer:
-8/3
Step-by-step explanation:
You want the slope of the line shown in the graph.
Slope from point coordinatesWhether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.
It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(4 -1) = -8/3
The slope of the line is -8/3.
Counting grid squaresThe slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.
rise/run = -8/3 = slope of the line
PLS HELP ME ANSWER THIS QUESTION..
Answers
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
What is the median of:
2, 8, 7, 8, 6, 15, 6, 8, 3
Answers
Answer:
7
Step-by-step explanation:
To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.
Answer: 7
Step-by-step explanation:
1. put them in order from least to greatest = 2, 3, 6, 6, 7, 8, 8, 8, 15
2. find the number in the middle = 7
Hope I helped, have an amazing day!!
The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels
since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005,
the figure was 374 parts per million. Find the increase in carbon dioxide levels and the percent of increase.
Round to the nearest tenth of a percent.
Increase carbon dioxide levels:
Percent increase:
196
Submit Question
parts per million
Question Help: Video Message instructor
Answers
Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.
Step-by-step explanation:
Question 1 Multiple Choice
) (7.01) What is the value of x in the equation x + 10 = 13 ?
O-3
O 3
O 13
O 23
Answers
the answer is 03 plus 10 is equal to 13 that is your answer
Answer:
3
Step-by-step explanation:
Its actually pretty simple,
since we don't know what x is we subtract 10 from 13 and we get 3 so your answer would be 3
Rewrite the following function in factored form. f(x)=x2+6x+8
Answers
Answer:
f(x) = (x+2)(x+4)
Step-by-step explanation:
4 + 2 = 6
4 * 2 = 8
f(x) = (x+2)(x+4)
There are 40 students in class. 12 like pink best, 4 like yellow and the rest blue. What fraction of the class likes blue?
Answers
3/5 of the class likes blue.
Explanation:
40 students in a class
12 like pink so there are
40 - 12 = 28 students
who like yellow or blue.
28 students who like yellow or blue
4 like yellow so there are
28 - 4 = 24 students
who like blue.
So that means 24/40 = 3/5 of the class likes blue.
I would appreciate it if you mark my answer as brainliest.
At a family reunion, each of Shamar's aunts and uncles is getting photographed once. The aunts are taking
pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Shamar has the same total number
of aunts and uncles, what is the minimum number of aunts that Shamar must have?
Answers
The minimum number of aunts that Shamar must have based on the information provided is 10.
What are the possible number of uncles and aunts?It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:
Uncles: 10, 20, 30, 40, 50
Aunts: 5, 10, 15, 20, 25
How to find the minimum number of relatives?In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.
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The equation
x^3 - 4x = 25
has a solution between 3 and 4
Use a trial and improvement method to find
this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
Answers
