Answer:
0 or 2
Step-by-step explanation:
The number of distinct imaginary roots possible are 2.
What are the zeros of the polynomial function?The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.
If f(x) is a third degree polynomial then by corollary to the fundamental theorem of algebra , it must have 3 roots.
It as complex roots occurs in pairs, thus there must be even number of complex roots.
So, there is 2 complex distinct complex roots are possible in third degree polynomial.
Corollary to the fundamental theorem states that every polynomial of degree n>0 has exactly n zeroes.
Therefore, the number of distinct imaginary roots possible are 2.
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x:35 = 20:28
For what value of x is the proportion shown
above true?
Answer:
25
Step-by-step explanation:
x = (20/28) * 35
x = 25
Please solve 4 terms???
Answer:
Step-by-step explanation:
t1 = 10
t(n) = 3t_(n - 1) - 1
t(2) = 3*t(2 -1) - 1
t(2) = 3*t1 - 1
t(2) = 3*10 - 1
t_2= 30 - 1
t_2 = 29
t3 = 3*t2 - 1
t3 = 3*29 - 1
t3 = 87 - 1
t3 = 86
t4 = 3*t3 - 1
t4 = 3*86 - 1
t4 = 258 -1
t4 = 257
Keira's older cousin earns $700 a week. Recently he moved into his own apartment. What amount of debt do you think is reasonable for him to have? Why?
Answer:
10,000
Step-by-step explanation:
2. Jasmine ran 22 kilometers. One mile is approximately equal to 1.6 kilometers. Which
measurement is closest to the number of miles Jasmine ran?
a. 13.75 mi
b. 35.2 mi
c. 23.6 mi
d. 22 mi
Answer:
13.75
22/1.6 = 13.75
Complete these ordered pairs for this equation.
(0, ), (-1,), (1, ) y=2x+1
Help
Answer:
The completed ordered pair are;
(0, 1), (-1, -1), and (1, 3)
Step-by-step explanation:
The ordered pair, (x, y), presents the corresponding values of 'x' and 'y' based on a given relationship, or equation
The given relationship between 'x', and 'y' is, y = 2·x + 1
Therefore, given that the x-values (first of two values, separated by the coma) are given, we have;
In the given incomplete pair (0, ), when x = 0, therefore, y = 2 × 0 + 1 = 1
The complete ordered pair is (0, 1)
Similarly, for (-1, ), we have;
When x = -1, y = 2 × (-1) + 1 = -1
The complete ordered pair is (-1, -1)
We also have for the incomplete pair, (1, )
When x = 1, y = 2 × 1 + 1 = 3
The complete ordered pair is (1, 3)
The completed ordered pair for the equation, y = 2·x + 1, are therefore;
(0, 1), (-1, -1), and (1, 3).
What is the value of x in the equation 5 x - y 5x - y = 30, when y = 15?
Answer:
x=7
Step-by-step explanation:
5x-15=30
add 15 to both sides
5x=45
divide by 5
x=7
help finding volume
Help ASAP which option I mark brain list
Answer:the answer would be 4
Step-by-step explanation: you multiplied the 1 by 2, 2 by 4, 3 by 6.
Consider the line y=7x-6.
Find the equation of the line that is perpendicular to this line and passes through the point (6, 2).
Find the equation of the line that is parallel to this line and passes through the point (6, 2).
Answer:
Case 1: 7y + x - 20 = 0 (Perpendicular)
Case 2: y - 7x + 40 = 0 (Parallel)
Step-by-step explanation:
Case 1: Perpendicular
Equation of the given line y = 7x - 6
Comparing with the general equation y = mx + c; m = 7
For two lines to be perpendicular, the product of their gradients is (-1) or we can also say; gradient of one line must be the negative inverse of the other gradient.
So the gradient of a line perpendicular to y = 7x - 6 should be (-1/7)
Now solving for the equation of the line using the formula
y - y = m(x - x ) where (x , y ) are the coordinates of the point.
substituting..
y - 2 = (-1/7)(x - 6)
7(y - 2) = -1(x - 6)
7y - 14 = -x + 6
7y + x -14 - 6 = 0
7y + x - 20 = 0 is the equation of the line perpendicular to y = 7x - 6 and passes through the point (6,2)
Case 2: Parallel
Equation of the given line y = 7x - 6
Comparing with the general equation y = mx + c; m = 7
For two lines to be parallel, they must have equal gradients.
So the gradient of a line parallel to y = 7x - 6 should be 7
Now solving for the equation of the line using the formula
y - y = m(x - x ) where (x , y ) are the coordinates of the point.
substituting..
y - 2 = 7(x - 6)
y - 2 = 7x - 42
y - 7x -2 + 42 = 0
y - 7x + 40 = 0 is the equation of the line parallel to y = 7x - 6 and passes through the point (6,2)
In the figure below, I = 10 cm, w = 4 cm, and h = 3 cm. What is the length of r?
Answer:
I think it would be 11.2
Step-by-step explanation:
because if I is 10 and it only goes across to the other side then it would only be 11.2
Construct the graph of the equation given by solving for the intercepts. Show all of the steps in finding the
intercepts and then plot the intercepts to create the graph. Label the intercepts, as well as the asis on the
graph
Y=-1/4x-1
answer
x, y - intercepts are (0, -1) and (-4, 0)
Step-by-step explanation:
put x and y = 0 respectively in given equation to get intercepts
can someone help me please
Answer:
6/7 or -6/7
Step-by-step explanation:
Pythagoras.
c² = a² + b²
the trigonometric functions in a norm circle (radius = 1) express the side lengths of inscribed right-angled triangles.
sin(x) is one side (e.g. "a") "touching" the 90 degree angle.
cos(x) is the other side ("b") of the 90 degree angle.
and the radius (1) is the Hypotenuse (the side opposite of the 90 degree angle), which is called "c" in the formula of Pythagoras.
so, we have
1² = (sqrt(13)/7)² + b²
b² = 1² - (sqrt(13/7)² = 1 - 13/49 = 49/49 - 13/49 = 36/49
b = cos(x) = sqrt(36/49) = 6/7
as we don't know anything about the angle x except that it has a positive sin(x) value, the cos(x) value can be positive or negative depending on if x is an angle of the first or of the second quadrant in the norm circle.
in the first quadrant cos(x) is also positive, in the second quadrant cos(x) is negative.
the third and fourth quadrants do not apply, as sin(x) would be negative for both.
Hello, Please answer this question for 35 points and a Brainliest for the correct answer!
The figure shows a carpeted room. How many square feet of the room are carpeted?
a
30 square feet
b
44 square feet
c
56 square feet
d
76 square feet
it's (a) 30 square feet
hope it helps you ♡
2 3/4- (-1/4)
Anyone have the answer ty
Answer:
3
Step-by-step explanation:
Hi,
To begin, we have one mixed number and one fraction. In order to solve, we have to turn the mixed number into an improper fraction.
2 3/4 as an improper fraction is 11/4. We know this because we multiply the denominator by the whole number which is 4 x 2 = 8 and then add the result to the numerator which is 8 + 3 = 11. The denominator stays the same.
So...
11/4 - (-1/4)
- (-) always turns into a +. So when subtracting a negative, take those two subtraction signs, cancel them out, and add instead.
11/4 + 1/4 = 12/4
We can add straight across since they have the same denominator.
12/4 = 3
I hope this helps :)
Which of the following is an arithmetic sequence?
0-2,4, -6, 8,...
O 2, 4, 8, 16,...
O-8, -6, -4,-2....
This is because we are adding the same thing to each term to get the next term. In this case, we're adding 2 each time
-8+2 = -6
-6+2 = -4
-4+2 = -2
and so on. This common 2 we're adding on is known as the common difference.
Someone plss help me on this one
Answer:
Step-by-step explanation:
52 predicted that they will pass which means that (80-52) = 28 predicted that they will fail.
people who passed among the predicted ones = 52 * 3/4 = 39 people
54 people pass altogether so people who passed among the ones who predicted they will fail = 54 -39 = 15 people
percentage = 15/28 * 100 = 53.6 %
which set of sides would make a right angle
Answer:
PICTURE?
Step-by-step explanation:
how do i do this find the missing side. round to the nearest tenth.
Answer:
D) 29.8
Step-by-step explanation:
cos(62°) = 14/x
x = 14/cos(62°)
x = 29.8
Read the following excerpt from a magazine carefully, and complete the activities.
In Arizona, spring is the most beautiful time of year. The temperature usually ranges from sixty-five to ninety degrees Fahrenheit. Statistics show that the sun shines 89 percent of the time during the spring days.
Birds love Arizona in the spring. Children laugh and play, and families get together for picnics. Thousands of people like to go to the lake to water ski or swim, while others enjoy driving to the forest-covered mountains to camp and fish.
List at least one statement from each of the two paragraphs that is an opinion rather than a provable fact.
first paragraph:
second paragraph:
first paragraph: second paragraph:
Paragraph 1: Spring is the most beautiful time of the year - the Authors opinion and not fact.
Paragraph 2: Birds love the spring - Nobody knows how a bird is feeling, this is just based off of the Author trying to make a scenery for you.
Hoped this helped :)
Which postulate proves these triangles are similar? (giving brainliest and thanks to all!)
⚠️❗️⚠️❗️⚠️ 100 POINTS HELP ME FIND BOTH AREAS TROLLS GET REPORTED AND THEN THE POINTS WOULD BE TAKEN AWAY❗️⚠️❗️⚠️❗️⚠️
Answer:
Pink: 114 square units
Turquoise: 183 square units
Step-by-step explanation:
Separate the shapes into triangles and rectangles.
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Pink shapeThis comprises of 2 triangles and 2 rectangles.
Area of bottom left triangle = 1/2 × 6 × 6 = 18 square units
Area of top right triangle = 1/2 × 5 × 4 = 10 square units
Area of bottom large rectangle = 6 × 11 = 66 square units
Area of upper small rectangle = 4 × 5 = 20 square units
Total area = 18 + 10 + 66 + 20
= 114 square units
Turquoise shape
This comprises of 1 triangle and 2 rectangles.
Area of triangle = 1/2 × (25 - 9 - 9) × (24 - 16 - 2)
= 1/2 × 7 × 6
= 21 square units
Area of middle rectangle = (25 - 9 - 9) × 16
= 7 × 16
= 112 square units
Area of right rectangle = 2 × 25
= 50 square units
Total area = 21 + 112 + 50
= 183 square units
Answer:
Pink is = 114 square units
Turquoise is = 83 square units
--
The shapes need to be converted into triangles and rectangles so we can use their area formula which is
rectangle = width × lengthtriangle = 1/2 × base × height1. TEALThis shape has one triangle and two rectangles!
So . .
Area of the triangle = A = [tex]\frac{1}{2}[/tex] × b × h
= 1/2 × 7 × 6 = 21² unitsA= middle rectangle = A= L x W
= 7 × 16 = 112² unitsA= right rectangle = L x W
=2 × 25 = 50² unitsIn all = 183² units
2 . PINK
This shape has two rectangles and two triangles
A = bottom large rectangle -- 6 x 11 = 66² unitsA = top right triangle -- [tex]\frac{1}{2}[/tex] x 5 x 4 = 10² unitsA = bottom left triangle -- [tex]\frac{1}{2}[/tex] x 6 x 6 = 18² unitsA = upper small rectangle -- 5 x 4 = 20² unitsIn all = 114² units
if y^17-17 is divided by y+1 , the remainder is
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
-----------------------
b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
THANKS
0
Write the statement that represents 3 times the sum of 2 and 4"?
Answer:
Step-by-step explanation:
according to the question expression can be written as
=3(2+4)
There are 9 cans of soup in a pantry, 3 of which contain minestrone soup.
What is the probability that a randomly selected can will be minestrone soup?
Answer:
It's 33.33%
Step-by-step explanation:
It's 3/9 = 1/3 = 0.3333 = 33.33%
From the information in the diagram can you prove FTG is congruent to FGE
Answer:
Yes, by AAA.
Step-by-step explanation:
The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.
Answer:
yes by ASA
Step-by-step explanation:
angle gdf equals angle edf
side DF is common to both
angle gfd equals angle efd
hence by ASA (short for angle side angle)
The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards.
A graph titled Money Left after Purchase. The x-axis shows packs of cards bought, numbered 1 to 9, and the y-axis shows the money left (in dollars), numbered 2 to 18. Blue diamonds appear at points (1, 16), (2, 12), (3, 8), (4, 4), (5, 0).
How much money will she have if she doesn't buy any packs of baseball cards?
$16
$18
$19
$20
Please help me with my work
Answer:
nooooooooooooooooooooooooooooooooooooooo
How Many Inches Of Wood Is Needed To Frame An 8.5 By 11 inches Photograph?
Math help please show all work thanks
What is the first term for an arithmetic sequence with a12 = 56 and a21=101?