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].
What is the equation of the line that passes through the point (−7,−1) and has a slope of 11?
Answer:
y = 11x + 76Step-by-step explanation:
The equation of a line with a slope of "a" and containing a given point (x₀, y₀) is:
y - y₀ = a(x - x₀)
a = 11, x₀ = -7, y₀ = -1
So:
y - (-1) = 11(x - (-7))
y = 11x + 77 - 1
y = 11x + 76
Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
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Can someone help me with all of these??Pls, and explain it in words because i have to record a video for it.
Answer:
Question 1: 9 Question 2: e=40
Step-by-step explanation:
Question 1: Divide both sides of the equation by the same term,Cancel terms that are in both the numerator and denominator,Divide the numbers.
Question 2: I just subtracted 56 by 16. 56-16
Question 3: To find the value of x we need to use inverse operation.???
THIS IS ALL I COULD HELP I AM SORRY!
List one way you can multiply polynomials by polynomials.
a. Boxes
b. Vertically
c. Horizontally
d. All of the above
Answer:
a
Step-by-step explanation:
8 cubed as a single power of 2
Answer:
[tex]2^{9}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 8 = 2³ and so
8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]
100 points ! What is the area of the following composite figure? All angles are right angles.
24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2
Answer:
24m²
Step-by-step explanation:
..,.................
Area = 5*4+2*1+2*1
Area = 20+2+2
Area = 24m²
Answer:
24 m^2
Step-by-step explanation:
We need to study the structure well
We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle
Then we remove the area of the four squared cut out from the big rectangle.
Total length of the rectangle is 5+1+1=7m
Then the length of the breath of the rectangle is 2+1+1=4m
So area of rectangle is given as length × breadth
Area= l×b
Area=7×4=28m²
Area of the big rectangle is 28m²
Then the squared is made of dimension 1m by 1m
Area of a square is s²
Then, a=1m
Area of the square= 1²=1m²
There are four squared side
Then, the total area of the four squared is 4×1=4m²
Then the required area is
Area=Total area - area of four squared side
Area=28m²-4m²
Area =24m²
Area of the figure is 24m²
The correct option is A.
Which expression is equivalent to the expression below?
2(6k+4)−4(2+2k−1)
-------------------------------------------------------------------------
a} 18+48k
b} 14k−1
c} 4k−4
d} 4+4k
Answer:
D. 4+4k
Step-by-step explanation:
(12k +8) - (8+ 8k - 4)
12k +8 - 8 - 8k + 4
4k +4
d}4+4k
2(6k+4)-4(2+2k-1) writing down the question
12k+8-8-8k+4 multiplying the numbers by the coefficients
12k-8k+8-8+4 collecting like terms
4k+4 the answer
Please help! I need it to move on to the next question I have 30 minutes
Answer:
uh either b or e
the others are slope-intercept
I hope this helps:)
- ♥
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.
Given: Points R, S, T, Q on circle O
Prove: mRS + mST + mTQ = mRQ
Answer:
Match the number of statement with the same number of reasons.
Step-by-step explanation:
Here are the statements
1.
Points R, S, T, Q on circle O
2.
measure of RS+ST=RT
measure of RT+TQ=RQ
3.RS+ST+TQ=RQ
Here are the reasons
1.Given
2. Arc Addition
3. Subsitution
Which is greater than 4? (a) 5, Which is the smallest? (a) -1, Combine terms: 12a + 26b -4b – 16a. (a) 4a + 22b, Simplify: (4 – 5) – (13 – 18 + 2). (a) -1, What is |-26|? (a) -26, Multiply: (x – 4)(x + 5) (a) x2 + 5x - 20, Factor: 5x2 – 15x – 20. (a) 5(x-4)(x+1), Factor: 3y(x – 3) -2(x – 3).
can someone help me with this?
James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%
The answer is A.
Step-by-step explanation:
ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.
3. What are the factors in the expression 4(5 + x)?
Answer:
Step-by-step explanation:
The factors are the parts that are being multiplied together.
4 and (5+x) are the two that are being multiplied and also the expression you get when you factor the distributed expression.
So the factors of 4(5+x) are:
4 and (5+x)
if i have all a's and one d what is my gpa
Answer:
Step-by-step explanation:
umm like 2.8 i think
Is
Y=-3/4x -2
Y=3/4x+1
One solution many solution or no solution
Find the missing side of this right
triangle.
10
Х
15
x= [?]
Enter the number that belongs in the green box.
Enter
Answer:
Step-by-step explanation:
A^2+B^C^2 ////////A^2=10, and B^2=X^2, and C^2=15
10^2 + X^2 =15^2
100 + X^2 = 225(15^2 = 225)
-100 -100
= square root x= square root (125)
your answer will be 125
The value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of the square of other two legs of right angle triangle.
In the given image,
A right angle triangle is given.The length of the base is 15 units long.The length of the hypotenuse is 15 units long.Using the Pythagoras theorem, the value of x can be found out as,
[tex]x^2+10^2=15^2\\x^2=15^2-10^2\\x^2=225-100\\x^2=125\\x=\sqrt{125}\\x=11.18[/tex]
Thus, the value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.
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pls help with this question
Answer: first answer choice
Step-by-step explanation:
Find the domain and range for f(x)=pi cos(x)
Domain of f(x) = pi cos x is ALL REAL NUMBERS.
The range of f(x) = pi cos x is [-1, 1].
A group of workers can plant 2/5 acres in days.3/4 What is the unit rate in acres per day?
Answer:
8/15
Step-by-step explanation:
Unit rate is 8 / 15 acres per day.
What is work?
"Work is defined as when force is applied on an object and it gets move in particular direction."
According to the question,
Group of workers plant 2/ 5 acres in 3 /4 days
3 / 4 days = 2/ 5 acres
1 day = [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex]
⇒ 1 day = 8 / 15 acres
Hence, Unit rate is 8 / 15 acres per day.
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An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.
Find the term of the sequence that has value -93. please answer asap.
Answer:
50th term
Step-by-step explanation:
Second term, a + d = 3
Tenth term, a + 9d = -13
a + d = 3 (1)
a + 9d = -13 (2)
Subtract (1) from (2) to eliminate a
9d - d = -13 - 3
8d = -16
d = -16/8
d = -2
Substitute d = -2 into (1)
a + d = 3 (1)
a + (-2) = 3
a - 2 = 3
a = 3 + 2
a = 5
Find the term of the sequence that has value -93.
nth term = a + (n -1)d
-93 = 5 + (n - 1) -2
-93 = 5 + (-2n + 2)
-93 = 5 - 2n + 2
-93 = -2n + 7
-93 - 7 = -2n
-100 = -2n
n = -100/-2
n = 50
50th term = -93
If a = -2 and b = -4 -3i, then find the value of a b in fully simplified form.
Answer:
I'm not so sure but I think it's 6 or 9i
Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?
Answer:
$6.37
Step-by-step explanation:
Jane and 3 friends = Jane + another 3 people
= 4 people in total
Total Cost of pizza = $25.48
If 4 people split $25.48 evenly,
Amount each friend has to pay = Total Cost of pizza/Total number of people
= $25.48/4
= $6.37 per friend
Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them
ill give brainliest!! just please help!!
Answer:
x=4
Other stuff:
Don't if it is incorrect or if it was the answer. the image was blurry.
the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter
Answer:
Step-by-step explanation:
width is 255/15=17
perimeter = 17*2+15*2=64
EZ
whats a reasonable estimate for 529 divided by 23 ( explain your anwser )
Step-by-step explanation:
First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.
Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.
Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.
Which scenario is best represented by a linear function?
A
The area of a square, A, where the length of each side of the square is represented by
S (A= s?)
The perimeter of a square, P, where the length of each side of the square is
B represented by s
(P = 4s)
The surface area of a cube, A, where the length of each side of the cube is
C represented by s
(A = 6s )
The volume of a cube, V, where the length of each side of the cube is represented by
s(V = $)
Answer:
P=6sStep-by-step explanation:
to understand thisyou need to know about:linear functiontips and formulas:a linear function is function with two variables one dependent another one is independentlet's solve:since we can see what linear function is
the second condition is the best fit
The perimeter of a square, P, where the length of each side of the square is B represented by s(P = 4s)therefore
our answer is b
If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?
Answer:
6
Step-by-step explanation:
72/24=3
3*2=6
What's 3/5 of 1/4?!!!!! Plz help me!
Answer:
2.4 or [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.
Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:
[tex]\frac{12}{5}[/tex]
what is the value of n?
enter answer in box
Answer:
6!
Step-by-step explanation:
chord x chord = chord x chord
(5) (n+8) = (7) (n+4)
i just started plugging in numbers
(5) (6+8) = (7) (6+4)
5 x 14 = 7 x 10
70=70
there are 56 customer in a shop.24 of them are men.the rest of the customers are women in the shop
Answer:
There are 32 women in the shop.
Answer:
32 are women
Step-by-step explanation: