Answer:
2 & +2i
Step-by-step explanation:
The two additional roots of the polynomial functions are:
1. 7-5 = 2
2. Irrational root of a polynomial functions are always in pairs, hence
- 2i will have +2i as its pair
factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!
Answer:
(x + 1)(x + 2)(2x + 1)(x - 3).
Step-by-step explanation:
From the leading and last coefficients, 2 and -6 the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).
Try x = 1:
f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.
f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.
Therefore (x + 1) is a factor (By the factor theorem)
Try x = 2:
f(2) = 32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.
f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.
(x + 1)(x + 2) = x^2 + 3x + 2.
Long division:
2x^2 - 5x - 3 <-----------Quotient
--------------------------------------------
x^2 + 3x + 2 ) 2x^4 + x^3 -14x^2 - 19x - 6
2x^4 + 6x^3 + 4x^2
-5x^3 - 18x^2 - 19x
-5x^3 - 15x^2 - 10x
-3x^2 - 9x - 6
-3x^2 - 9x - 6
.......................
2x^2 - 5x - 3 = (2x + 1)(x - 3)
So Finally, the factors are (x + 1)(x + 2)(2x + 1)(x - 3).
i really really need help
Answer:
which one
Step-by-step explanation:
which one
Which equation is represented by the graph below?
y= ln x-3 y= ln x-4 y= e^x -3 y=e^x -4
Answer:
C y=e^x-3
Step-by-step explanation:
(Please help!)
What is the x-coordinate to the following system of equations?
2x + y = -4
5x + 3y = -6
A. x = -6
B. x = 6
C. x = -8
D. x = 8
The circumference of a circle is double the perimeter of square having area 484 meter square . what is the area of the circle.
Answer:
وتؤوثتيمسوثاسز لا لا لا وا
Answer:
616 sq. m
Step-by-step explanation:
The area of a square = 484
(Side)2 = 484
side of a square = 22 m
According to the question,
circumference of a circle = perimeter of a square
2∏r = 4 × 22
r = 88 × 7/22 × 1/2
r = 14 m
Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m
I Need help with this question
Answer:
600
Step-by-step explanation:
Answer:
80 sq ft
Step-by-step explanation:
this is a trapezoid and the formula for area is:
1/2 x height x (sum of the bases, which are parallel)
A = 1/2(10)(10+6)
= 5(16)
= 80 sq ft
BRAINLIEST
A spinner has four lettered sections. The table shows the results of an experiment spinning the pointer.
Find the probability of spinning a R. You must write your answer as a fraction.
-table-
Answer:
one half
because if you times it you will get the fraction
Answer:
one half
Step-by-step explanation:
u can multiply it that u will get it answer
Classify a triangle whose side lengths are 8, 16, and 18
A. Right Triangle
B. Acute Triangle
C. Obtuse Triangle
D. Isosceles Triangle
Answer:
Obtuse triangle
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.
An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.
An isosceles triangle is a triangle with two equal sides.
Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.
Since no two sides are the same hence it is not an isosceles triangle.
Also, 18² > 16² + 8²; therefore this is an obtuse triangle
True or false the median is always a number that is part of the data set?
Answer: Mostly. The middle number of the data is the median (set should be in order). If there are more than one middle numbers, then they are not the median but the average of those numbers are the median.
This is not necassary that average is always present in the listed information.
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
With a data set there are multiple number and always a middle whether or not its 2 numbers or 15. theres always a median.
The trapezoid shown above has an area of 21.66 square inches.
What is the total area of the shaded sections of the trapezoid?
A. 2.09 square inches
B. 4.18 square inches
C. 4.86 square inches
D. 8.74 square inches
Answer:
2.09 for only one triangle.
4.18 for two triangles.
Step-by-step explanation:
Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.
Have a great day!
Plz help meeee
y varies directly with x. If y = 15 when x = -18, find y when x = 1.6.
Answer:
-1.2
Step-by-step explanation:
I took the same direct variation test and got this one right
hope this helps!
(no links or files) Solve this equation using the quadratic formula.
Answer:
x = 1/2,-3
Step-by-step explanation:
I think the answer is x = 1/2, -3.
Plss help!!!!! Ty!
What is the area of this semicircle?
Answer:
[tex]{\small{\boxed{\sf{\red{here's \: your \: solution...}}}}} \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =\pi \: r {}^{2} { \div 2} {} }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{radius = 8cm }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =(22/7 \times 64) \div 2}}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =100.57 \: cm {}^{2} }}}}}[/tex]
[tex]\small\mathfrak\green{Hope \: it \: helps \: \: .......| }[/tex]
The circumference of a circle is 6 2/7 miles. What is the area of the circle in square miles? ( Use 22/7 for pi.)
Answer:
solution given:
circumference of circle=6 2/7=44/7miles
2πr=44/7 miles
r=44/7×7/44=1 miles
now
area of circle=πr²=22/7×1²=22/7 =3 1/7 miles ²
Please help!! I will give brainliest and no links!!
PROBLEM:
Jenni's mother sent her to the Farmers Market to buy 5 pounds(lbs.) of
potatoes. The market sold potatoes by the ounce (oz.) Jenni asked Farmer
Brown for 5 pounds of potatoes. Farmer Brown gave Jenni 64 ounces of
potatoes. Jenni noticed that she did not get 5 lbs. of potatoes. How many
more ounces does she need so that her mother can make 5 lbs. of french
fries?
Answer:
16 ounces
Step-by-step explanation:
1 pound = 16 ounces
16*5 = 80 ounces
5 pounds = 80 ounces
80-64 = 16 ounces
Solve the following quadratic function
by utilizing the square root method.
Simplify your answer completely.
f(x) = 100 – 49x^2
Answer:
x = 10/7 or x = -10/7
Step-by-step explanation:
By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides
From what we have here, the coefficient of the x term is 0
Thus, we have it that;
0 = 100 - 49x^2
We can proceed to use the difference of two squares here;
Whereby;
a^2 - b^2 = (a-b)(a + b)
0 = (10-7x)(10+7x)
10 - 7x = 0 or 10 + 7x = 0
7x = 10 or 7x = -10
x = 10/7 or x = -10/7
Evaluate the expression
22 I think I’m so sorryrrrr
Answer:
9+6(2)2+4
15(4)+4
60+4
64
HELP ASAP
What is the solution to the given system of equations?
y=4x-28
y=1.5x-18
1(-12,4)
2.(2,-12)
3.(7,0)
4.(7.5,2)
Answer:
Solution (4, -12)None of the listed choices are a solution
Step-by-step explanation:
y = 4x - 28
y = 1.5x - 18
Set the equations equal since both equal y
4x - 28 = 1.5x - 18
Subtract 1.5x from both sides
2.5x - 28 = -18
Add 28 to both sides
2.5x = 10
Divide both sides by 2.5
x = 4
---------------------
use x= 4 in either equation
y = 4x - 28
y = 4(4) - 28
y = 16 - 28
y = -12
--------------------
Solution (4, -12)
Kylie spent $13.80 to buy 30 popsicles for her classmates. How much did each popsicle
cost?
Answer:
0.46
Step-by-step explanation:
13.80/0.46
just divide
You have the following coins in your pocket: 5 quarters, 6 dimes, 2 nickels, and 12 pennies. What is the probability you will draw a dime and then a
penny?
5 quarters is 125 cents 6 dimes is 60 cents 2 Nickels are 10 cents and 12 pennies are 12 cents all that in total is 207
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of drawing a dime and then a penny is 9/50.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of coins = 6 dimes + 2 nickels + 12 pennies = 20
Number of dims = 6
Number of nickels = 2
Number of pennies = 12
The probability of drawing a dime.
= 6/20
= 3/10
The probability of drawing a penny.
= 12/20
= 6/10
= 3/5
Now,
The probability of drawing a dime and then a penny.
= 3/10 x 3/5
= 9/50
Thus,
The probability of drawing a dime and then a penny is 9/50.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
How do you find the mean, median, mode, and range of a set of numbers?
Answer:
You find the mean by adding all the numbers together then divide the sum of that by the amount of numbers there are. You find the median by looking at the middle number. You find the mode by looking at the most used number. You find the range by subtracting the highest and lowest numbers.
Step-by-step explanation:
say you have these numbers ( 8, 7, 17, 12, 0, 9, 11, 5, 8)
Mean:
8 + 7 + 12 + 17 + 0 + 9 + 11 + 5 + 8 = 77
77 ÷ 9 = 8.5
Median: 0
Mode: 8
Range: 17 - 0 = 17
Answer:
median is the middle number
but if the are two numbers in middle u add those two n divide by 2
range is the biggest number subtract lowest number
mean is total average divide by the number of data
mode is the number that appears many times
15^2+9^2=?
Round to the nearest 10
I am a number less than 100. When you divide me by 2, my remainder is 1. When you divide me by 25, my remainder is 2. What numbers am I?
Answer:
27 and 77
Step-by-step explanation:
Given
Let
[tex]n \to[/tex] number
[tex]n\ \%\ 2 = 1[/tex]
[tex]n\ \%\ 25 = 2[/tex]
[tex]n <100[/tex]
Required
Find n
[tex]n\ \%\ 2 = 1[/tex] implies that the number is odd and the possible solutions are:
[tex]\{3,5,7,9,......99\}[/tex]
The possible solutions to [tex]n\ \%\ 25 = 2[/tex] are:
[tex]\{27,52,77\}[/tex]
Testing 27, 52 and 77 with [tex]n\ \%\ 2 = 1[/tex], we have:
[tex]27\ \%\ 2 = 1[/tex] --- true
[tex]52\ \%\ 2 = 0[/tex] ---- false
[tex]77\ \%\ 2 = 1[/tex] --- true
Hence, the possible numbers are 27 and 77
Hey guys do any of you guys know the answer to this? I’m struggling with it and I still don’t know the answer plz help me! Thanks!
Answer:
steps below
Step-by-step explanation:
DE/WX = 15/35 = 3/7
DF/WY = 24/56 = 3/7
EF/XY = 18/42 = 3/7
ΔDEF similar to ΔWXY (sss) : 3 corresponding sides are in the same ratio
Adsila's recipe for peach frozen yogurt says to mix 3 cups blended peaches for every 2 cups vanilla yogurt. Which of these frozen yogurt recipes has a stronger taste than Adsila's?
Answer:
A 5 cups blended peaches for every 3 cups vanilla yogurt
B 8 cups blended peaches for every 5 cups vanilla yogurt
Step-by-step explanation:
Adsila’s recipe for peach frozen yogurt says to mix 3 cups blended peaches for every 2 cups vanilla yogurt. Which of these frozen yogurt recipes has a stronger
peach taste than Adsila’s? Select all that apply.
A 5 cups blended peaches for every 3 cups vanilla yogurt
= 5 : 3
= 5/3
= 1.67
Stronger peach taste
B 8 cups blended peaches for every 5 cups vanilla yogurt
= 8 : 5
= 8/5
= 1.6
Stronger peach taste
C 9 cups blended peaches for every 6 cups vanilla yogurt
= 9 : 6
= 9/6
= 1.5
Equal peach taste
D 10 cups blended peaches for every 8 cups vanilla yogurt
= 10:8
= 10/8
= 1.25
Lesser peace taste
E 14 cups blended peaches for every 10 cups vanilla yogurt
= 14 : 10
= 14/10
= 1.4
Lesser peach taste
Cups of Blended peaches : cups of vanilla yogurt = 3 : 2
= 3/2
= 1.5
All that applies includes:
A 5 cups blended peaches for every 3 cups vanilla yogurt
B 8 cups blended peaches for every 5 cups vanilla yogurt
A/B
Step-by-step explanation:
Find the terms, coefficients, and constants of 4x+x+17
Answer:
17 and x=constant,
4x=coefficient
hope this helps
have a good day :)
Step-by-step explanation:
Please help, my brain just sucks rn. The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
46.4 inch
Step-by-step explanation:
Area=l×b
93.6 =5.2×b
93.6/5.2 =b
So b= 18
Again,
p=2(l+b)
p=2(18+5.2)
p= 2×23.2
p=46.4
Plot v6 on the number line
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
Answer:
Surface Area of right cone
=[tex]\pi r(r+\sqrt{h^2 + r^2}[/tex]
[tex]440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\[/tex]
[tex]\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227} = 10.96in[/tex]
Which expression is not a polynomial?
Answer:
B.
Step-by-step explanation:
For an expression to be a polynomial , it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
B
Step-by-step explanation: