The polynomial function p(x)=x3−4x2+ax+20 has (x+1) as one of its factors.
What would be the remainder when p(x) is divided by (x+2)
The remainder when p(x) is divided by (x+2) is; -79.
What is the remainder when p(X) is divided by (X+1)?Since one of it's factors is (x+1), it follows that P(-1) = 0.
Hence; 0 = (-1)³ -4(-1)² -a +20
a = 15.
Hence, the polynomial is; p(x)=x3−4x2+15x+20
The remainder when p(x) is divided by (x+2) is;
p(-2) = (-2)³ -4(-2)² + 15(-5) +20
p(-2) = -8 -16 -75 +20
p(-2) = -79.
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Which of the following tables represents a function?
This Stem-and-Leaf Plot shows the number of ice cream cones that a local ice cream parlor sold during the last 25 days. What is the range of the data set? A. 45
B. 43
C. 41
D. 32
Answer:
D. 32
Step-by-step explanation:
The minimum value on the stem and leaf plot is 54
The maximum value on the stem and leaf plot is 86
to find the range,
max - min = 86 - 54 which is 32
Answer:
D) 32
Step-by-step explanation:
hope it helps!
Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,
∠COD = ∠AOB
x + 2y = 50
x = 50 - 2y
Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,
∠BOC + ∠COD = 180°
x - 2y + x + 2y = 180
2x = 180°
x = 90°
Substitue the value of x,
x + 2y = 50
90 + 2y = 50
2y = -40
y = -20
The difference in the value of x and y is,
Difference = 90 - (-20) = 110
Hence, the value of x is 110 more than the value of y.
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Choose the correct answers:
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured. Also injured in the accident is a pedestrian, Sam Dicson. Albert's medical expenses total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert ____
b. for Sam _____
c. total ____
The Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000.
What is Insurance?Insurance is the area of applied mathematics that studies different risks to individuals, property and businesses, and ways to manage these risks. Insurance mathematics relies heavily on calculus, probability, statistics and interest theory.
Here,
For this case, what you should know is that Sue Jones insurance covers half of the expenses.
Equivalently, her insurance covers:
10/20 = 1/2 = 0.5
Therefore, we have then that
a. for Albert
0.5 * (12000) = $ 6000
b. for Sam
0.5 * (8000) = $ 4000
c. total
The sum of the results of parts a and b
$ 6000 + $ 4000 = $ 10,000
Thus, the Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000
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which of the following is located over the center of the base of a regular pyramid
A vertex
B slant height
C face
D edge
Vertex is located over the center of the base of a regular pyramid.
What is Vertex Angle?
Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.
Here, Vertex is the point which is located over the center of the base of a regular pyramid.
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#1 Find each angle measure in the triangle. 3x⁰ 2x° 4x° The measure of the angle labeled 2xº angle labeled 3x° is Previous K °. The measure of the . The measure of the angle labeled 4x° is S Next
you have to answer it in less then 6 minutes
please
3x° is 60° , 2x° is 40° and 4x° is 80°
How to determine the angles
Note that the sum of angles in a triangle is 180°
Solve for x in the triangle
Then,
3x° +2x° + 4x° = 180°
Add the x°
9x° = 180°
Divide both sides by 9
x° = 180÷ 9 = 20°
If x° = 20
Then 3x° = 3× 20 = 60°
2x° = 2 × 20 = 40°
4x°= 4× 20 = 80°
Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°
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Classify the triangle by its sides and by its angles
Answer:
Scalene obtuse.
Step-by-step explanation:
Scalene means that none of the sides are the same. You can tell by looking at the triangle that none of the sides are the same. An obtuse triangle is a triangle with one obtuse angle. It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.
Solving System of Equations Using Subtraction.
X + 4y = 11
X - 6y = 11
Answer:
x=11
y=0
Step-by-step explanation:
Don't know if this is what you're looking for but this is correct if you plug it in.
X + 4y = 11 Get x by itself. x=-4y+11 and plug it into the bottom.
X - 6y = 11
simplify -4y+11-6y=11
11-10y=11
-10y=0
y=0 plug it into the original and you will get
x=11
x=11
The graph shows a proportional relationship between the number of plants and the number of flowers on the plants. What is the constant of proportionality in terms of flowers per plant?
The constant of proportionality in terms of the number of flowers per plant is 5.
What is the proportional relationship?If two quantities varies directly to each other i.e if y varies proportional to x then
y =kx .....[1] where, k is the constant of proportionality.
Suppose, y represents the number of roses and x represents the number of plants.
Given is the graph shows a proportional relationship between the number of plants and the number of flowers on the plants. The graph attached below has the coordinates points,
(0, 0)
(1, 5)
(2, 10)
(3, 15)
(4, 20)
Substitute any coordinate points like (3, 15) in above equation to find k.
15 =k x 3
k = 5
Therefore, the constant of proportionality in terms of the number of flowers per plant is 5.
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Answer:
5
Step-by-step explanation:
Somebody please answer quick, will mark whoever is first Brainliest. Select the correct answer from the drop-down menu
The graphed linear equation is
A. 3x - 2y = -12
B. 2x - 3y = -12
C. 3x + 2y = 12
D. 3x + 3y = -12
Answer:
C. 3x + 2y = 12
explanation:
the dimensions of a high school football field are represented by a width of 2x - 40 feet and a length of 3x + 60 feet
what expression represents the binomial factors you would multiply to find the area of the football field?
(04.01) Which of the following best defines 4^2/3
O Square root of 16
O Cube root of 4
O Square root of 4
O Cube root of 16
Answer:
Cube root of 16
Step-by-step explanation:
x^m/n =n/x^m
4^2/3 = 3/4^2=3/16
So it is Cube root of 16
Hope This Helped
If anyone is good at grade 8 math problems pls help answer these questions thanks!! :DD
WILL MARK BRAINLIEST TO WHOEVER CAN ANSWER THIS CORRECTLY!!!!
Answer:
53 Meters.
Step-by-step explanation:
34*34 + 41*41 = 2837.
1156 + 1681 = 2837.
The square root of 2837 would be your answer.
34*34 + 41*41 = 53.26349 * 53.26349
a*a + b*b = c*c.
a² + b² = c².
Answer:
21.74
Step-by-step explanation:
AC^2 = AB^2 + BC^2
AC^2 = 34^2 + 41^2
AC^2 = 1156 + 1681
AC^2 = 2837
AC = Square root of 2837
AC = 53.26..
meters saved by walking through the pond = (AB+BC)-53.26
=> (34+41)-53.26
=> 75 - 53.26
=> 21.74
hope this helps:)
Under what condition,the determinant of a matrix is possible?
Answer:
There are three condition, where determinant can be zero. If the complete row of a matrix is zero. If any row or column of a matrix is the constant multiple of another row or column. If any two rows or columns are equal.If all the elements of a row (or column) are zeros, then the value of the determinant is zero. ) is 1.
Step-by-step explanation:
Draw a function of dy/dx for the graphical below (image). Please help!
Step-by-step explanation:
Remember that
[tex] \frac{dy}{dx} [/tex]
is the gradient or slope function.
So we need to analyze the slope of each graph over given time.l and how it changes.
For the 1st graph, we have a linear function.
Remember the special properties for all linear functions:
The slope at any two points on the line is the same.
So this means our slope here must be constant.
And since our slope is negative, our dy/dx, function must be a constant function that is negative. So
The answer for the first graph is draw a horizontal line underneath the x axis.
For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.
We can draw a linear function that is increasing forever for our dy/dx.
For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.
Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.
The first , second, and third graph is the dy/dx graphs shown respectively.
All these are examples of possible graphs. If you need more clarification, let me know
Hey can someone help me I dont really undertstand this, (thank you ^^)
Answer:
exact area = 81π in.²
approximate area = 254.34 in.²
Step-by-step explanation:
Exact:
area = πr²
r = radius = diameter/2 = 18 in./2 = 9 in.
area = πr²
area = π × (9 in.)²
area = 81π in.²
exact area = 81π in.²
Approximate:
π = 3.14 (approximately)
area = πr²
area = 81π in²
area = 81 × 3.14 in.²
approximate area = 254.34 in.²
what are the coefficients of the expression 7x-4x2?
Answer:
Coefficients: 7, -4.
Step-by-step explanation:
In the expression 7x-4x^2, the terms are 7x and -4x^2. There are no constants here, which would just be a number by itself. Coefficients are integers written alongside or multiplied by the variable.
In this expression, the variable x has two coefficients (one per term). These are 7 and -4.
Answer:
7
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
please simplify and keep the answer with exponents.
(6^7 * 6^12)/ 6^8
Answer:
6¹¹
Step-by-step explanation:
Simplifying the numerator :
When two terms with the same base are multiplied, the powers are added6⁷ x 6¹²6¹⁹Solving the expression :
When two terms with the same base are divided, the powers are subtracted6¹⁹ / 6⁸6¹¹(Please help!!!)
Select the correct answer.
Simplify the following expression.
3x(4x-3)
A. 12+ 13x
B. 12x²-5x
C. 12x² + 5x
D. 12x²-9x
Which expression represents the growth of an investment of $8,000 at 7.5% per year for a period of t years? 8000(1.075t) 8000(1.075)t 8000(0.075)t
Answer:
its b
Step-by-step explanation:
because im feeling generous enjoy
Find x, rounding to the nearest tenth (one decimal place)
Answer:
x= 27.5
Step-by-step explanation:
What is the value of 4 in 27.43?
Answer: Tenths
Step-by-step explanation:
The volume of this right prism is 2,500 ft³. What is the height, x, of the prism? x = ft
The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
From the figure:
Volume = 2500 cubic ft
(10)(x)(25) = 2500
250x = 2500
x = 10 ft
Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
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what is 1 1/3 x 2 1/2
Answer:
10/3 or 3.3 or 3 1/3
Step-by-step explanation
Nathan needs some paint for his bedroom. He finds two cans of white paint, four cans of green paint and three cans of pink paint in his garage. If he chooses a can of paint without looking at the color, what is the chance that he will paint his bedroom pink?
A. 1/3
B. 2/9
C. 2/3
D. 6/9
The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.
What is the chance that he will paint his bedroom pink?Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.
There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.
Then the probability is:
P = 3/9 = 1/3.
The correct option is A.
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Nadya has 19 1/4 yards of ribbons she cuts into pieces that each measure 1 3/4 yards. How many pieces of ribbon does Nadya have
Answer:
Nadya have 11 pieces of ribbon
_____ teaspoon is equivalent to 5 ml.
Answer:
1.01 teaspoons is equal to 5 ml
Step-by-step explanation:
it goes up by ( 0.202884 )
1 ml 0.202884 tsp
2 ml 0.405768 tsp
3 ml 0.608653 tsp
4 ml 0.811537 tsp
5 ml 1.0144 tsp
6 ml 1.2173 tsp
7 ml 1.4202 tsp
Hope This Helped
Calculate the amount of $4480 at 8% interest per annum for 3 years
Answer:
$5555.20
Step-by-step explanation:
F = P + I
I = Prt
I = $4480 × 0.08 × 3 = $1075.20
F = $4480 + $1075.20
F = $5555.20
Solve for X
1.1x + 1.4x = 350
Answer:
X= 140
Step-by-step explanation:
I hope this helps. =D
Answer:
x=140
Step-by-step explanation:
1.1x+1.4x=350 1. combine like terms which 1.1x+1.4x
2.5x=350 2. /2.5 on both sides
x=140