(35x) + (-56) this is an equivalent equation.
Answer:
7x(-4x+5)
Multiplying: -56+35x
Step-by-step explanation:
[tex]\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)[/tex]
The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.
The other result, however, came from this:
[tex]-28\cdot \:2=-56\\=-56+35x[/tex]
Inform me of any concerns. Hope this helps.
What is the remainder when f(x) = x4 + 7x3 + 17x2 + 20x is divided by x2 + 4?
a
\large x^2+13x+7+\frac{-52}{x^2+4}
b
\large x^2+7x+\frac{13x-8}{x^2+4}
c
\large x^2+7x+13+\frac{5x-52}{x^2+4}
d
\large x^2+1+\frac{1}{x^2+4}
The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4) so none of the given option is correct.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the dividend f(x)= x⁴ + 7x³ + 17x² + 20x and diviser x² + 4
The first time it will go to x²
Then,
Quotient = x²
Remainder = 7x³ - 13x²
The second time goes to 7x
Quotient = 7x
Remainder = -13x² - 28x
The third time it is not divisible so (-13x² - 8x)/(x² + 4) will be the reminder.
Together it is x² + 7x + (-13x² - 8x)/(x² + 4).
Hence "The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4)".
For more about the number system,
https://brainly.com/question/22046046
#SPJ1
Need these pleaseeeeee
Dilate the figure by the scale factor. Then enter the new coordinates. A(-3,1) C(0,-4) B(2,4) K=7 A'([?], []) B'(11) C'([],[])
The new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).
Dilating the given triangle by the scale factor means multiplying each coordinate by the given scale factor.
Given coordinates are A(-3, 1), B(2, 4), and C(0, -4).
The scale factor k = 7.
Let, the new coordinate obtained by dilating A with scale factor k be A'.
Then x-coordinate of A' = k × x-coordinate of A
⇒ x-coordinate of A' = 7 × (-3)
⇒ x-coordinate of A' = -21
And y-coordinate of A' = k × y-coordinate of A
⇒ y-coordinate of A' = 7 × 1
⇒ y-coordinate of A' = 7
So, A' → (-21, 7)
Let, the new coordinate obtained by dilating B with scale factor k be B'.
Then x-coordinate of B' = k × x-coordinate of B
⇒ x-coordinate of B' = 7 × 2
⇒ x-coordinate of B' = 14
And y-coordinate of B' = k × y-coordinate of B
⇒ y-coordinate of B' = 7 × 4
⇒ y-coordinate of B' = 28
So, B' → (14, 28)
Let, the new coordinate obtained by dilating C with scale factor k be C'.
Then x-coordinate of C' = k × x-coordinate of C
⇒ x-coordinate of C' = 7 × 0
⇒ x-coordinate of C' = 0
And y-coordinate of C' = k × y-coordinate of C
⇒ y-coordinate of C' = 7 × -4
⇒ y-coordinate of C' = -28
So, C' → (0, -28)
Refer to the image attached for the new triangle formed.
Therefore, the new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).
Learn more at:
https://brainly.com/question/24873454
#SPJ9
give the type of triangle that has these angles
27 degrees
63 degrees
91 degrees
Which of the following values is less than −|62|?
Answer:
-63, -90, -1924. -|63|, etc
Step-by-step explanation:
Find the value of y is x = -3
y = 4x² + 2x - 9
N (-5,2) Q (1,-5)
What is the length of QN
The length between the two points is 9.2 units.
Given points are:
Q(1,₋5)
P(₋5,2)
Let the two points be denoted as
Q(1,₋5) as (x₁,y₁)
P(₋5,2) as (x₂,y₂)
Distance between two points is calculated as:
d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²
d = √(₋6)² ₊ (7)²
d = √36 ₊ 49
d = √85
d = 9.2
Hence the length of QN is 9.2 units.
Learn more about Coordinate geometry here:
brainly.com/question/1528681
#SPJ9
Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. what is the probability that the sum of the two rolls equals 5 ?
The probability that the sum of the two rolls equals 5 is 1/16.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given a single die with 8 sides (numbered 1, 2, 3, ..., 8) is rolled twice, the total outcome will be:
Total outcome = 8^2
Total outcome = 64
For the sum of two rolls, the expected outcome will be:
E = {(1, 4), (4, 1), (3, 2), (2, 3)}
n(E) = 4
Pr(sum of the two rolls is 5) = 4/64
Pr(sum of the two rolls is 5) = 1/16
Hence the probability that the sum of the two rolls equals 5 is 1/16
Learn more on probability here;
brainly.com/question/24756209
#SPJ4
Which relationships are likely to have a positive association? select all that apply.
a. the distance traveled on a trip and the travel time
b. the distance remaining on a trip and the travel time
c. the amount of money spent and the number of shirts bought
d. the height of an eighth- grade student and the time to complete a puzzle
e. the amount of money owed on a computer and the time making payments
would be great if someone helped :))
The relationships
a. the distance traveled on a trip and the travel time
c. the amount of money spent and the number of shirts bought
are have the positive associations.
Positive associations:
Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase.
Given,
Here we have the following relationships,
a. the distance traveled on a trip and the travel time
b. the distance remaining on a trip and the travel time
c. the amount of money spent and the number of shirts bought
d. the height of an eighth- grade student and the time to complete a puzzle
e. the amount of money owed on a computer and the time making payments
We need to find the positive associations in it.
Based on the definition of positive association,
The options (a) and (c) are the relationships that are in positive association.
Because while we look into the option (a),
When the traveling distance is increased then the time taken for it also increased.
Similarly in option (c),
While we increase the amount then the number of shirt we brought will also be increased.
The other options are not fit in this case.
So, option (a) and (c) are in positive association.
To know more about Positive association here.
https://brainly.com/question/26530500
#SPJ4
Margot draws a shape with one pair of parallel lines that are four centimeters apart. She then flips the shape across a horizontal line.
How many pairs of parallel lines are in the flipped shape?
The flipped shape has a pair of parallel line
What are parallel lines?A pair of line is said to be parallel lines when the lines tend to maintain equal distance apart and never intersect at any point. such lines has peculiar properties and are useful in mathematics.
Since a pair of parallel line do not intersect their is not angle between them.
What happens when a shape is flipped ?Flipping a shape will change the position of the flipped shape to a new one. This activity does not add to the size of a shape or to the property of the shape.
Margot flipping a pair of parallel lines will not add or reduce the number of the parallel lines. It however creates point of intersection between the parallel line and horizontal line crossing the parallel line.
Read more on parallel line here: https://brainly.com/question/13763238
#SPJ1
Name a pair of adjacent complementary angles.
4. Name a pair of adjacent supplementary angles.
5. Name a pair of nonadjacent complementary angles.
6. Name a pair of nonadjacent supplementary angles.
3. A pair of adjacent complementary angles is: ∠LJM and ∠NJM.
4. A pair of adjacent supplementary angles is: ∠KJL and ∠NJL
5. A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP
6. A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM
What are Complementary and Supplementary Angles?Supplementary angles have a sum that is equal to 180 degrees, while complementary angles equal 90 degrees.
What are Adjacent Angles?Angles that share the same side and vertex are adjacent angles.
3. m∠LJM + m∠NJM = 56 + 34 = 90°
A pair of adjacent complementary angles is: ∠LJM and ∠NJM.
4. m∠KJL + m∠NJL = 90 + (56 + 34) = 180°
A pair of adjacent supplementary angles is: ∠KJL and ∠NJL
5. m∠EGF + m∠NJP = 41 + 49 = 90°
A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP
6. m∠FGH + m∠LJM = 124 + 56 = 180°
A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM
Learn more about supplementary and complementary angles on:
https://brainly.com/question/13204208
#SPJ1
Your bank offers you a 36-month, 3 pr car loan for a $50000 new mercedes slk300 roadster. what will your monthly payment be?
The monthly payment will be $1454.06048
You can calculate the Car Loan EMI Amount with the help of the mathematical formula: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1] , where P, R, and N are the variables. This also means that the EMI value will change, each time you change any of the three variables. Let’s discuss these three variables in detail.
‘P’ stands for the Principal Amount. It is the original loan amount given to you by the bank on which the interest will be calculated.
‘R’ stands for the Rate of Interest set by the bank.
N is the number of years given for the repayment of the loan. As you must pay the EMIs each month, the duration is calculated in the number of months.
Here , P=$50000,R=3/12/100=0.0025,N=36 Months.
EMI=[50000 x 0.0025 x (1+0.0025)^36]/[(1+0.0025)^36-1]
= $1454.06048
To know more about "Principal amount"
Refer this link:
https://brainly.com/question/25720319
#SPJ4
First try was inco
Lemon earns a 3.2% commission as a salesperson. She sold a drone
for $146.97. What is the amount of Lemon's commission? Round your
answer to the nearest penny.
label required
The amount of Lemon's commission is $4.7
According to the question we have been given that
Commission earned by Lemon = 3.2%
Selling price of drone which is sold by Lemon = $146.97
We need to find the amount of commission she earned by selling the drone.
The formula to be used to find the amount of commission is
= percentage of commission * selling price
putting the required value we get
= 3.2% of $146.97
here 'of' is denoted as multiplication
thus, =0.032 * 146.97
= $4.7
Hence the amount of Lemon's commission is $4.7
Learn more about commission here : https://brainly.com/question/24951536
#SPJ9
What multiplies to 26 and adds to 27
Answer: 1 and 26
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students filled 442 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
26%
Step-by-step explanation:
Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders
442/1700 × 100% = 26%
Hope this helps! ^^
A right triangle has side lengths 8, 15, and 17 as shown below.
Use these lengths to find sin.X, tanX, and cos.X.
Answer:
please demonstrate how tha triangle looks like
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
find the 80th percentile.
The 80th percentile is 125.37.
It is required to find the solution.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
We have to find the 80th percentile first we have to find the mean of seven people.
Mean=100+ 115+135+140+ 180+197+ 230/7
Mean=156.71
100 percent=156.71
80 percent=156.71*80/100
80 percent=125.37.
Therefore, the 80th percentile is 125.37.
Learn more about percentage here
https://brainly.com/question/28269290
#SPJ4
Carnegie Learning, Inc.
Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units
up to create an image. What are the vertices of the image and the algebraic rule?
A (6,2), (8, 2), (8, 4), and (6, 4); (x + 5, y)
B (1,7), (3, 7), (3, 9), and (1, 9); (x, y + 5)
C (1, -3), (3, -3), (3, -1), and (1, -1); (x, y - 5)
D (1,-2), (3,-2), (3, -4), and (1,-4); (x, -y)
Why a is wrong?
And why b is correct
Answer:
B
Step-by-step explanation:
The y coordinate tells us when we are going up for down. So the rule would be (x, y + 5) So, the x coordinate stays the same and the y goes up 5.
(1,2) The 2 is the y coordinate. It will increase by 5 and become (1,7)
(3,2) The 2 is the y coordinate. It will increase by 5 and become (3,7)
(3,4) The 4 is the y coordinate. It will increase by 5 and become (3,9)
(1,4) The 4 is the y coordinate. It will increase by 5 and become (1,9)
Value of x
Pls show steps
Answer:
x = 18
Step-by-step explanation:
Vertical angles are congruent.
4x + 3 = 75 Subtract 3 from both sides of the equation
4x = 72 Divide both sides by 4
x = 18
Land's bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 8 sales receipts for mail-order sales results in a mean sale amount of $61.80 with a standard deviation of $17.75. A random sample of 13 sales receipts for internet sales results in a mean sale amount of $77.40 with a standard deviation of $29.75. Using this data, find the 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
A. Find the critical value that should be used in constructing the confidence interval. B. Find the standard error of the sampling distribution to be used in constructing the confidence interval.
C. Construct the 80% confidence interval.
The assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.
What is a random sample?A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability. It is the process of selecting a sample at random.To assume that the population variances are not equal and that the two populations are normally distributed:
Given:
n1 = 11 sample sizex1 = 79 for the sample means1 = 18.25 standard deviationn2 = 18 sample sizex2 = 96.70 for the sample means2 = 20.25 standard deviationSo, df = n1 + n2 - 2; 11 + 18 - 2 = 27.
T critical = T0.01, 27 = 2.473
Let,
S = sqrt[(s1²/n1) + (s2²/n2)]S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]S = 7.284Then,
(μ1 - μ2) = (x1 - x2) ± T critical × S(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284(μ1 - μ2) = - 17.7 ± 18.013332Now,
-17.7 - 18.013332 ; - 17.7 + 18.013332−35.713332 ; 0.313332Therefore, the assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.
Know more about random samples here:
https://brainly.com/question/24466382
#SPJ4
One bridge design has supports that form an X in the center. Find the measure of each numbered angle.
The measure of angle is 52, 128 and 132
What are angles?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Given:
one angle = 52
So,
<2 = 52 (vertically opposite angle)
<1 + <2 = 180 ( linear pair)
<1 + 52 = 180
<1 = 128
and, <1 = < 3 ( vertically opposite angle)
<3 = 132
Learn more about angles here:
https://brainly.com/question/15277238
#SPJ1
The recommended mass m of a baseball is 145 grams. The actual mass is allowed to vary by up to 2 grams. What are the minimum and maximum allowed baseball masses?
The minimum and maximum allowed baseball masses are 143 grams and 147 grams
What are the minimum and maximum allowed baseball masses?The given parameters are
Mass = 145 grams
Vary = 2 grams
This means that the allowed baseball masses are
Allowed baseball masses = Mass ± Vary
This gives
Allowed baseball masses = (145 - 2, 145 + 2) grams
Evaluate
Allowed baseball masses = 143 grams, 147 grams
Hence, the minimum and maximum allowed baseball masses are 143 grams and 147 grams
Read more about minimum and maximum at
https://brainly.com/question/28817420
#SPJ1
2, 4, 8, 16, 32, 64, ... The number 4,096 belongs to this sequence. What is the number that immediately precedes it?
Go to school kid and pay attention
Find the greatest common factor for each list of numbers 12,18,26,32
If 0.25 cm represents 5 feet on a blueprint, what is the actual length of a room that is 8.5 inches long?
In proportion , 13 ft is the actual length of a room.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
0.25 inches 8.5 inches
---------------- = --------------
5 ft x ft
Using cross products
0.25x = 8.5 * 5
Divide each side by 0.25
0.25x/0.25 = 8.5 * 5/0.25
x = 13
x = 13 ft
Learn more about proportion
brainly.com/question/11873016
#SPJ9
A basic slime recipe calls for 1 part borax, 24 parts white glue, and 48 parts water. The relationship between borax, white glue and water is proportional. If Catalina has 3 tablespoons of borax and will use it all, how many cups of white glue will she need
Answer:
I am more on the sure side it's 8
Step-by-step explanation:
And if it isn't im so so sorry
Work out the area of the rectangle
Answer:
11.2 or 11 1/5
Step-by-step explanation:
multiply it ez
Answer: Use a=wl, 13.3
Step-by-step explanation:
a=wl
4.75*2.8=13.
express 2^6 × 2^2 in the form 8^p
The value of the expression 2^6 × 2^2 is 8^2 * 4
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the value of the expression?The expression is given as
2^6 × 2^2
Apply the product law of indices to the above expression
So, we have
2^6 × 2^2 = 2^(6 + 2)
Evaluate the sum in the above expression
So, we have
2^6 × 2^2 = 2^8
Expand the expression
So, we have
2^6 × 2^2 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
This gives
2^6 × 2^2 = 8 * 8 * 4
So, we have
2^6 × 2^2 = 8^2 * 4
Hence, the value of the expression 2^6 × 2^2 is 8^2 * 4
Read more about expression at
https://brainly.com/question/723406
#SPJ1
The test statistic value calculated by the statistical procedure selected is known as the?
The test statistic value calculated by the statistical procedure selected is known as the T-test.
What is a T-test?
The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.
Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.
To know more about the T-test follow
https://brainly.com/question/6589776
#SPJ4
