Answer:
The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].
Step-by-step explanation:
Statement is incorrectly written. Correct form is described below:
Find a quadratic polynomial with integer coefficients which has the following real zeros: [tex]x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}[/tex].
Let be [tex]r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}[/tex] and [tex]r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}[/tex] roots of the quadratic function. By Algebra we know that:
[tex]y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}[/tex] (1)
Then, the quadratic polynomial is:
[tex]y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}[/tex]
[tex]y = 81\cdot x^{2}-36\cdot x -19[/tex]
The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].
find the surface area of a cube with a side length of 5 centimeters.
The 6 faces of a cube have equal are.
Each face has are of 5*5=25 because they are all squares.
Now we just multiply by 6
25*6=150 centimeters cubed.
Done!
Step-by-step explanation:
step 1. a cube had 6 sides
step 2. each side is a square
step 3. the area of each side is 5x5 = 25cm^2
step 4. the surface area of the cube is 25x6 = 150cm^2.
in triangle ABC with vertices A(4,5),B(-2,1) and C(0,3),E and F are midpoints of sides AB and AC resp . then, find coordinates of E and F
Answer:
The answer is
E=(1, 3)
F=(2,4)
Step-by-step explanation:
When E is midpoint of AB
Then
[tex]e = ( \frac{4 + ( - 2)}{2} . \frac{5 + 1}{2} ) \\ = (1.3)[/tex]
By this way we can find F
[tex]f = ( \frac{4 + 0}{2} . \frac{5 + 3}{2} ) \\ = (2.4)[/tex]
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
what is sales tax and tip
Answer:
sales tax is a percent the goverment takes from the item you bought and tip is the money you can give to a worker
Step-by-step explanation: you give a tip to a waitress at a restraunt. and sales tax is just a small percent the goverment claims from the item
HELP ILL MARK YOU BRAINLIST
Answer:
[tex]-\frac{3}{2}[/tex]
Write an equation with a slope of −4.4and a y-intercept of 6.8
A. =−4.4−6.8
B. =4.4+6.8
C. =6.8−4.4
D. =−4.4+6.8
Answer:
The answer is
[tex]y = - 4.4x + 6.8[/tex]
The diagram shows rectangle ABDE and right angle triangle ABC AC=37cm BC=12cm BC:CD=1:2 work out the area of rectangle ABDE
can you let me know when you get this answer, i’m doing june 19 2H
Answer:
1260cm^2
Step-by-step explanation:
BC : CD
12 : 24
12 + 24 = 36
h²- a² = b²
37²-12²
1369 - 144 = 1225
√1225 = 35
36 x 35 = 1260cm²
Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11.
note: it is NOT 12 i tried and it was wrong
Answer:
66
Step-by-step explanation:
This was the formula that I used V=14h √(a+b+c)(b+c−a)(c+a−b)(a+b−c)
Hope this helps! :)
I need help I don't understand
Answer:
x = 142
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 90+52
x = 142
Ms. Metcalf wants to share $1 equally among 5 students. How much money will each student get?
Answer:
Step-by-step explanation:
20
Options are increase/decrease
Find the value of x in 4000(1.5^x) = 25,000. Show your work.
Answer:
4.17
Step-by-step explanation:
6000x = 25000
x = 25000 / 6000
x = 4.17
Can anyone explain polynomials in a way that makes sense lol?
Answer:
Answer:
well here's the def. maybe this can help you sum up answer
*polynomial
[ pol-uh-noh-mee-uhl ]SHOW IPA
adjective
consisting of or characterized by two or more names or terms.
noun
Algebra.
(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.
Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.
a polynomial name or term.
Biology. a species name containing more than two terms.
:
round 2.844 correct ton1 decimal place
Answer:
2.8
Step-by-step explanation:
You need to keep these: 2.8
You will need to look at the second decimal: 2.844
Since it is under 5, you don’t need to increase 8 any further. If it was 5 or greater, you would have to change the 8 up to a 9.
I hope that helps!
If x · y = z, which of the following statements is true?
zy=x
z - y = x
z - x = y
xz=y
Answer:
b
Step-by-step explanation:
Write an equation in slope-intercept form.
Given:
The table of values.
To find:
The equation in slope intercept form.
Solution:
From the given table it is clear that the line passes through the points (5,17), (8,41) and (12,73).
Consider any two points from the table, i.e., (5,17) and (8,41). So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-17=\dfrac{41-17}{8-5}(x-5)[/tex]
[tex]y-17=\dfrac{24}{3}(x-5)[/tex]
[tex]y-17=8(x-5)[/tex]
[tex]y=8x-40+17[/tex]
[tex]y=8x-23[/tex]
Therefore, the equation of line in slope intercept form is [tex]y=8x-23[/tex].
You would like to start your own business in Hempstead. You borrow
$10,000 form the bank at a 9% rate for 5 years. How much interest
will you pay on this loan?
Answer:
$ 4,500.00
Step-by-step explanation:
I = $ 4,500.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 9%/100 = 0.09 per year,
then, solving our equation
I = 10000 × 0.09 × 5 = 4500
I = $ 4,500.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 9% per year
for 5 years is $ 4,500.00.
Please help, I’m bad at math.
Answer:
26
Step-by-step explanation:
Tan is opposite/adjacent
The side opposite to the angle 56 is 26.
If it asks for the bottom one, it is x.
How Many Hours?pls help.
Answer:
12
Step-by-step explanation:
WHAT WOULD THIS BE? SOMEONE PLEASE HELPP
Answer:
A
Step-by-step explanation:
4x2 = 8
3 + 3 = 6
so 8x to the 6th
I am confused pls help don't know what to do don't just answer it pls you can just write how you solve it
Answer:
-0.25(-8x + 12y)
2x + -3y
Determine whether the graph of f(x) is a sinusoid.
f(x) = sin 4piX - cos 10piX
b.
no
a.
yes
Answer:
The answer is B(no) on edge
Step-by-step explanation:
3, 12, 48, 192
can someone tell me the 11th term
1+ [-1] - 3 if u answer this i will give u brainly
Answer:
the answer is -3
Step-by-step explanation:
Hey, can you guys help me out with this question? I need the workings too.( find the surface area )
▪︎Side 15 cm, 18 cm and x cm form a right angle triangle.
We know that :
[tex] =\tt {hypotenuse}^{2} = {leg}^{2} + {leg}^{2} [/tex]
Which means :
[tex] =\tt {15}^{2} + {x}^{2} = {18}^{2} [/tex]
[tex] =\tt 225 + {x}^{2} = 324[/tex]
[tex] =\tt {x}^{2} = 324 - 225[/tex]
[tex] = \tt {x}^{2} = 99[/tex]
[tex]\color{plum} =\tt x = 9.9 \: cm[/tex]
Thus, x (radius) = 9.9 cm
We know that :
[tex]\color{hotpink}\tt \: Surface \: area \: of \: cone \color{plum}=\pi r(r + \sqrt{ {h}^{2} + {r}^{2} } [/tex]
Then, the surface area of this cone :
[tex] = \tt3.14 \times 9.9 \times( 9.9 + \sqrt{ {15}^{2} + {9.9}^{2} } )[/tex]
[tex] =\tt 3.14 \times 9.9 \times( 9.9 + \sqrt{323.01} )[/tex]
[tex] =\tt 3.14 \times 9.9 \times (9.9 + 18)[/tex]
[tex] =\tt 3.14 \times 9.9 \times 27.9[/tex]
[tex] = \tt31.09 \times 27.9[/tex]
[tex]\color{plum} =\tt\bold{ 867.4 \: cm}[/tex]
Therefore, the surface area of this cone = 867.4 cm
Which histograms are approximately symmetric and bell shaped?
Answer:
B and E
Step-by-step explanation:
im pretty sure what you have is correct
The correct histograms that are approximately symmetric and bell-shaped are - histograms B, C, and E because they are symmetric and bell-shaped.
A histogram is a convenient form or graphical representation of the frequency distribution of numerical data by means of rectangles. These histograms are found in different shapes and symmetries.
Bell-shaped curve:
if a histogram resembles or looks like a “bell” by joining the interval of rectangles in a curve and has one single peak in the middle of the distribution.In the given histograms only histogram shows a bell-like curve when joining the middle point of rectangles of distribution and also present in symmetry.in the image attach approximate curves are form you can see if it is bell shape and symmetric.Thus, the correct answer is - Histograms B, C, and E.
Learn more about bell-shaped histogram:
https://brainly.com/question/14601046
44 students completed some homework and the histogram shows the times taken.
work out an estimate of the interquartile range.
in your work you must show the lower and upper quartiles
Answer:
1.4×5=7
0.8×10=8
1.4×10=14
1×15=15
15+14+8+7=44
44÷4=11
LQ of 44=11
LQ=10 minutes
11×3=33
UQ= 29 minutes
the Range is 19 minutes
Step-by-step explanation:
what did you put for #3?
Answer:
huh
Step-by-step explanation:
I need help. So it says to find the shaded area, and I'm not really good a things like this
Answer:
86 cm²
Step-by-step explanation:
1) Calculate the area of the square
[tex]A=lw\\A=20*20\\A=400[/tex]
Therefore, the area of the square is 400 cm².
2) Calculate the area of the circle
[tex]A=\pi r^2\\[/tex]
[tex]\pi[/tex] we can substitute with 3.14. To find the radius, we divide the diameter of the circle by 2. 20 cm is the diameter of the circle, so therefore, its radius is 10 cm.
[tex]A=3.14*10^2\\A=3.14*100\\A=314[/tex]
Therefore, the area of the circle is 314 cm².
3) Subtract the area of the circle from the area of the square
[tex]A=400-314\\A=86[/tex]
Therefore, the area of the shaded region is 86 cm².
I hope this helps!
Step-by-step explanation:
Given,
One side of the square = 20 cm
Therefore, Area of the square = side × side
= 20 cm × 20 cm
[tex] \: \: \: \: \: \: \: \: = 400 {cm}^{2} [/tex]
Also, known that
One side of the square = Diameter of the circle = 20 cm
So, radius of the circle = 20/2 cm = 10 cm
Therefore, area of the square
[tex] \: \: \: \: \: \ \: \: \: \: = \pi{r}^{2} [/tex]
[tex] = 3.14 \times {(10cm)}^{2} [/tex]
[tex] = 3.14 \times 100 {cm}^{2} [/tex]
[tex] = 314 {cm}^{2} [/tex]
Hence, area of the shaded region is
= Area of the square. - Area of the circle
[tex] = 400 {cm}^{2} - 314 {cm}^{2} [/tex]
[tex] = 86 {cm}^{2} (ans)[/tex]
Find f(-2), if f(x) = 2x^2 - 8x + 3.
Answer:
f(-2)=27
Step-by-step explanation:
Plug in -2 into x
f(-2)=2(-2)^2-8(-2)+3
f(-2)=8+16+3
f(-2)=27
A line passes through (-3, 6) and has a slope of -5.
What is an equation of the line?
Answer:
y=-5x-9
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-5(x-(-3))
y-6=-5(x+3)
y=-5x-15+6
y=-5x-9