Ok, so
We got the polynomial:
\(P(x)=x^4+2x^3-4x^2+4\)We are going to find P(-3) using the remainder theorem.
For this, we got that if P(-3), then we can write x+3 as a probable root of the polynomial.
We are going to write the coefficients of each term below, and use the theorem for x=-3.
As the remainder is -5, the value of P(-3) is -5.
The quotient will be:
The quotient is equal to the following function:
\(f(x)=x^3-x^2-x+3\)quotient: x^3-x^2-x+3
Si hace 10 años las edades de Ana y su madre eran 15 y 40, respectivamente, ¿cuál es la razón entre las edades actuales de ambas?
Opciones:
1/2
5/30
3/8
15/40
Answer:
3:8
Step-by-step explanation:
15:40
Work out the same by simplifying which they both go in 5
then doing that you can get 3/8 Or 3:8.
Hope it helps!
Spanish:
Resuelve lo mismo simplificando lo que ambos van en 5
luego haciendo eso puedes obtener 3/8 o 3: 8.
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
Simplify each expression.
(-3)(-9)
An expression can be used in algebra to represent a value, and that value may rely on the values given to the variables that appear in the expression.
If the expression be (-3)(-9) then the value of (-3)(-9) is 27.
What is an expression?A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.In order to help establish the order of operations and other elements of logical syntax, mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.An expression can be used in algebra to represent a value, and that value may rely on the values given to the variables that appear in the expression.Let (-3)(-9) be the given expression
We know the rule , (-) × (-) = (+)
(-3) × (-9) = +27
Therefore, the value of (-3)(-9) is 27.
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name a point that is sqrt(2)away from (-1 5)
The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).
In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),
Using the distance formula, we can set up the following equation:
√[(x - (-1))² + (y - 5)²] = √2,
Simplifying this equation,
We get,
(x + 1)² + (y - 5)² = 2,
This equation represents a circle with center (-1, 5) and radius √2.
So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).
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What does 8 represent in the decimal 478.92?
Answer:
ones
Step-by-step explanation:
Help! Need this done quickly! picture is upside down so please flip your screen! sorry!
Answer:
x=6
Step-by-step explanation:
Hi there!
1) Determine the perimeter of the square
We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.
Find the side length of the square using the area formula:
\(A=l^2\) where l is the side length
Plug in the given area 121 in.²
\(121=l^2\)
Take the square root of both sides
\(\sqrt{121} = \sqrt{l^2} \\11=l\)
Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:
\(P=4l\) where l is the side length
\(P=4(11)\\P=44\)
Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.
2) Determine the value of x
Use the formula for the perimeter of a rectangle:
\(P=2(l+w)\) where l is the length and w is the width
Plug in 3x and x-2 as the length and width
\(P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)\)
Plug in the perimeter 44 in.
\(44=2(4x-2)\)
Expand the parentheses
\(44=8x-4\)
Add 4 to both sides to isolate 8x
\(44+4=8x-4+4\\48=8x\)
Divide both sides by 8 to isolate x
\(\frac{48}{8}=\frac{8x}{8} \\6=x\)
Therefore, the value of x is 6.
I hope this helps!
Solve in order of operation
Thanks
Answer:
b) 31 and c) 11
Step-by-step explanation:
IMPORTANT: Order of operations is PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/SUbtraction).
B) Solve inside the parentheses first.
1. 2^3 - 6 = (2*2*2) - 6 = 2.
2. Now the equation looks like 3 + 7 (2)^2, Next we need to do exponents.
3. 2 to the power of 2 is 4, leaving you with 3+7(4)
4. Now multiply 7*4, which is 28 then add 3 to it.
So B) would ultimately be 31.
C) As we did in equation B, we start with parentheses.
1. (6/3) we can just simplify this to 2, so those parentheses are out of the way.
2. Now we need to do exponents, (-3)^2. This is the same as -3 * -3. This would equal 9.
3. So far the equation looks like 4 + 9 - 2 / 2.
4. Next would be to solve any multiplication/division problems we have. We can see from step 3 that we have a -2 divided by a positive 2. This would give us -1.
5. Now the equation looks like 4 + 9 - 2. Now you can just working from left to right.
So C) would solve to 11
Please let me know if I made any errors, good luck!
Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
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statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical
A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?
the area of the mat.
solution:22 + 3= 25
8 + 3= 11
= 25 inches long by 11 inches wide.
25 × 11= 275 in^2
the area of the mat is 275 in^2.
Find the distance between -3 and 4.
Answer:
7
Step-by-step explanation:
Just add 3 and 4 together to get your answer
Answer:
7
Step-by-step explanation:
To find the distance between two numbers, simply subtract.
4 - (-3) = Answer.
Note that when there are two negative signs directly next to each other, it becomes a positive sign. Add:
4 - (-3) = 4 + 3 = 7
7 is your distance.
The other way to solve is to flip the numbers:
-3 - 4 = -7
However, note that distance cannot be a negative, so you will disregard the sign.
7 is still your distance.
~
What is the value of n2 {m+r} if m=3, n=2, and r=4
Answer:
Answer: 28.Substitute: 22 * 3 + 4 Calculate the sum or difference:22 * 7 Calculate the power:4 * 7Calculate the p.
Step-by-step explanation:
please all i need is one more brainliest
What is the partial product of 19 times 20
Help please I am reviewing!!
Evaluate w-7/4+2w when w= -3
Please help ASAP!!!!! What is m
Answer:
2875
Step-by-step explanation:
Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)
Answer: (2, 6)
Step-by-step explanation:
y - x > -3
x coordinate is 2 and y coordinate is 6
Plug in the x and y coordinates
6 - 2 = 4
4 > -3
sara takes wedding pictures. for each picture, she has 1/4 chance that everyone looks at the camera. how many pictures must she take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera?
For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.
Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,
= 1 - (1 - p)ⁿ ≥ P
= (1 - p)ⁿ ≤ 1 - P
= n ≥ ln(1-P)/ln(1-p)
= n ≥ ln (0.2) / ln (0.75)
=5.6
Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.
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someone please help me
write the standard form of the equation of the circle with the given center and radius. Center (2.-1), r= √3
Answer:
(x-2)^2 + (y+1)^2 = 3
Step-by-step explanation:
That is the standard equation for a circle given h,k center and r
A circle has a circumferende of 13.04
units
What solution are you trying to find here with the circumference? Radius, diameter? I need more details so I can help you out. Thanks!
ASAP 100 POINT QUESTION!!!!! Find the slope of the line parallel to the line graphed.
Responses
A -1
B 0
C 2
D undefined
E 1
Answer: D; undefined
Step-by-step explanation: Slopes are represented by \(y2-y1/x2-x1\) Since both the x-values are the same, they end up creating a 0 in the denominator which leads to an undefined function.
explain why it is necessary to consider variability around the mean or nominal dimension as a measure of quality.
Variability around the mean or nominal dimension is a measure of quality because it helps to quantify the spread of data and the degree to which it deviates from the expected value.
By considering variability, manufacturers and designers can identify areas for improvement, determine tolerances for product specifications, and ensure consistency in production. Additionally, it helps to identify outliers and inconsistencies in the data which can be indicative of defects or issues in the production process. Furthermore, considering variability helps to assess the risk of non-conformance and predict the performance of a product in real-world scenarios. In short, considering variability helps to improve the overall quality of products and ensure they meet customer expectations.
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A truck can be rented from Company A for $120 a day plus $0.50 per mile. Company B charges $60 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
200 = x or x=200
i hope its right :)
Step-by-step explanation:
120 + 0.5x = 60 + 0.8x
-60 -60
60 + 0.5x = 0.8x
-0.5x -0.5x
60= 0.3x
0.3 0.3
200 = x
Write the ratio using fractional notation.
8 to 9
Answer:
Step-by-step explanation:
The GCF of 8 and 9 is 1
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
9 ÷ 1 = 9
The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 9 = 8 : 9
I need help with this question . Please and thank you .
Angle A coincides with angle E.
Angle B coincides with angle D.
Segment AC coincides with segment EF.
Segment AB coincides with segment ED.
What is rigid motion?Any geometric transformation of a euclidean space that keeps the euclidean distance between every pair of points is referred to as a rigid transformation.
Rotations, translations, and reflections are some examples of rigid transformations.
If we observe the given preimage and image we can conclude that the triangle is rotated about 90° counterclockwise.
∴ Points, A = E, B = D , C = F from this we can conclude that
Angle A coincides with angle E.
Angle B coincides with angle D.
Segment AC coincides with segment EF.
Segment AB coincides with segment ED.
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The mean of a set of numbers is 8, and the mode is 9.
Which of the following sets of numbers do these values describe?
3, 7, 9, 9, 10, 14
1, 5, 8, 10, 11, 13
4, 6, 8, 9, 9, 12
3, 5, 7, 9, 12, 12
Answer:
C
Step-by-step explanation:
Can a regular polygon have an interior angle of a).160 degree b).135 degree c).169 degree d).150 degree
Regular polygons can have interior angles of 160 degrees, 135 degrees, and 150 degrees, but not 169 degrees.
A regular polygon is a polygon with equal side lengths and equal interior angles. The formula to calculate the measure of each interior angle in a regular polygon is (n-2) * 180 / n, where n represents the number of sides of the polygon.
a) For a polygon with 9 sides (nonagon), the formula gives us (9-2) * 180 / 9 = 160 degrees. Therefore, a regular nonagon can have an interior angle of 160 degrees.
b) For a polygon with 8 sides (octagon), the formula gives us (8-2) * 180 / 8 = 135 degrees. Hence, a regular octagon can have an interior angle of 135 degrees.
c) For a polygon with 10 sides (decagon), the formula gives us (10-2) * 180 / 10 = 144 degrees. Since none of the given options match 144 degrees, we can conclude that a regular polygon cannot have an interior angle of 169 degrees.
d) Finally, for a polygon with 6 sides (hexagon), the formula gives us (6-2) * 180 / 6 = 120 degrees. Therefore, a regular hexagon can have an interior angle of 150 degrees.
Finally, regular polygons can have interior angles of 160 degrees, 135 degrees, and 150 degrees, but not 169 degrees. The measure of the interior angle depends on the number of sides in the polygon, as determined by the formula (n-2) * 180 / n.
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c) In the following figure, AE = 8 cm, BE =3 cm and CE = 4 cm. Find the length of DE .
Answer:
DE = 6 cm
Step-by-step explanation:
The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:
CE × DE = AE × BE
4 × DE = 8 × 3
4 × DE = 24
DE = 6 cm
Hope this helps!
Can someone help me I’m confused
If f(x) = x³ + 15x² +68x + 84, which of the following is not a factor of f(x)?
○ (x+6)
○ (x + 2)
○ (x + 7)
(x+8)
Submit Answer
Find the difference and quotient of 8 and 4
FINDING THE DIFFERENCE WE SUBRACT
\(8 - 4 \\ = 4\)
FINDING THE QUOTIENT WE DIVIDE
\(8 \div 4 \\ = 2\)
HOPE THIS HELPS