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2 15find the zeros of the quadratic polynomial and verify the relationship between the zeros and coefficients T square - 15
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Step-by-step explanation:
Here is your answer in the attachment.
Hope it helps :)
Related Questions
What function represents the pattern shown in the table?
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Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
[tex]9=ab^1[/tex] ...(ii)
[tex]36=ab^2[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]
[tex]4=b[/tex]
Putting [tex]b=4[/tex] in (ii), we get
[tex]9=a(4)^1[/tex]
[tex]\dfrac{9}{4}=a[/tex]
Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get
[tex]y=\dfrac{9}{4}(4)^x[/tex]
[tex]y=9(4)^{x-1}[/tex]
The function notation with variable n is:
[tex]f(n)=9(4)^{n-1}[/tex]
Therefore, the correct option is D.
What’s this help pls
Answers
How to solve your problem
9−4+3
9x−4+3x9x-4+3x9x−4+3x
Simplify
1
Combine like terms
9−4+3
9x−4+3x{\color{#c92786}{9x}}-4+{\color{#c92786}{3x}}9x−4+3x
12−4
12x−4{\color{#c92786}{12x}}-412x−4
Solution
12−4
SO D
Answer:
Answer is 12x - 4
Step-by-step explanation:
The give equation (9x -4 + 2x) has two x variables, we can take them both and add them together since they are both x's. So you would take 9 + 3 and and it to get 12, then plug in the variable x. Which will make your new equation 12x - 4
Thank you for the help
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Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?
A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²
Answers
Answer:
First, let's find the area of the whole pizza:
Area of circle = pi x r^2
r = 16 / 2
r = 8
Area of pizza = pi x 8^2 = 64pi
Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:
64pi / 8 = 8pi
The area of each slice is then 8pi in.^2
Step-by-step explanation:
chris is a 150 pound 5 foot 10 inch 18 year old male and he requires 2,048 calories per day to maintain his weight when he doesn't exercise. When he plays basketball, he burns 231 additional calories per hour. Assuming he want s to maintain his current weight, how many more calories per day does he require if he plays basketball for four hours instead of two hours?
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2,048-924= 1,124
He requires 1,124 calories more per day.
Q1
(b) Factorise
x2 – 36
(1 mark)
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Answer:
(x+6)(x-6)
Step-by-step explanation:
Given: x²-36
Difference of Squares Formula: x²-a²=(x+a)(x-a)
Since 6²=36: x²-6²=(x+6)(x-6)
Sooo... WHy does everyone get so mad over links? Are those not allowed???
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Simplify: 6^6/6^−3 Leave your answer in exponential form
Answers
Answer:
6⁹
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite: [tex]\displaystyle 6^{6 + 3}[/tex]Add: [tex]\displaystyle 6^{9}[/tex]The diameter of a circle is 4cm. Find it area to nearewt tenth.
Answers
Answer:
12.6cm
Step-by-step explanation:
12.6 cm²
Area formula: (A = πr²)
If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.
Circumference formula: (C = πd) or (C = 2πr)
Finding the circumference : 3.14 × 4 = 12.56 cm
So, we now have the radius and circumference.
Radius = 2 cm
Circumference = 12.56 cm
Finding the Area : 3.14 × 2 × 2 = 12.56 cm²
So, 12.56 rounded to the nearest tenth is 12.6 cm².
Hope this helped! :)
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Answer:
g= - 3x/x-2
Step-by-step explanation:
.Jorge has a square poster that measures 15 centimeters on a side. What is the perimeter of the poster in centimeters?
Answers
Answer:
[tex]A=225cm[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of the square post
[tex]L=15cm[/tex]
Generally the equation for Area of a square A is mathematically given by
[tex]A=L*B[/tex]
Where L=B
Therefore
[tex]A=15*15[/tex]
[tex]A=225cm[/tex]
Kamal makes $12.00 an hour at his job. Last week he earned $390. Write and solve an equation to determine how many hours Kamal worked last week. Enter the correct answers in the boxes.
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HELP PLEASE 10 POINTS AND BRAINLIEST
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Answer:
the first (c) is the answer: ΔABC ≅ ΔPQR
Step-by-step explanation:
Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree
Answers
Answer:
cos 30
Step-by-step explanation:
cos 30 + sin 60 / 1+ sin 30 + cos 60
= root3 / 2 + root3/2 / 1 + 1/2 + 1/2
= root 6/2 by 4/2
= root 6/4
= root 3/2
= cos 30
Answer:
cos 30
Step-by-step explanation:
Simón Plz help me giving brainliest
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Answer:
Although this (attached) would be the correct answer always; A would be the most logical one since only one piece is shaded the opposite color.
Hope this Helps!:)
Find the volume of a pyramid with a square base, where the area of the base is 16 m^2
and the height of the pyramid is 25.4 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
v = 135.5 cm³
Step-by-step explanation:
v = 1/3bh = 1/3(16)(25.4) = 135.5 cm³
Evaluate tan15°=tan(60°_45°)
Answers
Answer:
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
x^2-2x/x^2-y^2 - 2y-y^2/y^2-x^2
Answers
2−1⋅22−12−2−1⋅22−12
Step-by-step explanation:
Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?
Answers
Answer:
42 miles
Step-by-step explanation:
20 x 16.7 = 334 miles on a full tank of gas
he drove 292 miles so 334 - 292 = 42 miles left
Please help! 3 questions ALL multiple choice if you answer them all you will get 30 points! I WILL GIVE YOU BRAINLIST! (NO LINKS PLEASE)
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Answer:
I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.
Step-by-step explanation:
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Answers
Answer:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.
Step-by-step explanation:
Please help out!!!! :///
Answers
Answer:
last option
Step-by-step explanation:
the middle term is the sum of 4k and 4k which is 8k
Suppose you and a friend are playing a game that involves rolling a fair die. You roll the die and count how many times you must roll until you roll a 6. Which conditions for a binomial setting have been met for this scenario? Binary? Independent? Number of trials? Same probability?
Answers
Answer:
Binary-yes
Independent-yes
Number of trials- No
Same probability-yes
Step-by-step explanation:
Answer:
Binary?
✔ Yes
Independent?
✔ Yes
Number of trials?
✔ No
Same probability?
✔ Yes
Step-by-step explanation:
Carlos buys a phone that cost $250. He pays a monthly rate of $75. What is the independent variable of this function ?
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Answer: 250+75x
Step-by-step explanation: 250 is the flat charge on the phone, and he pays 75 dollars as a monthly rate. x represents the amount on months.
Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?
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Explanation: 3
URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!
At the Little Rock Zoo, the cost for one children's ticket is $10 and the cost for one adult's ticket is $13. On Saturday, the zoo had a total of 1,465 people visit the zoo and took in a total of $16,603. How many CHILDREN visited the zoo? (Number Only)
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Answer:
1663
Step-by-step explanation:
Find the gradients for line A and B.
See pic attached
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Gradient = y2-y1/x2-x1
Choose any two point making a triangle
Line B (0,8) (4,0)
This makes a triangle please go look at the graph once again! The the triangle should not have half squares but full!
Line A (5,14)(2,2)
Now plug in the variable
The difference between the Y and X
Line B 0-8/4-0
Line B gradient =-2
Line A 2-14/2-5
Line A gradient = +4
Finalized answer
Line B gradient = -2
Line A gradient = +4
Three interior angles of a quadrilateral have measures of 100degree,120degree, and 80 degree. Find the fourth angle measure.
The fourth angle measure is..
Answers
Answer:
The fourth angle = 60°
Step-by-step explanation:
the sum of the interior angles of a quadrilateral is 360°.
The fourth angle = 360° - 100° - 120° - 80° = 60°
I NEED HEP ASAP I WILL GIBE BRAINLIEST ANSWER FOR WHOEVER ANSWERES FIRST
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Answer:2
Step-by-step explanation:
A laser beam moves along a straight line so that its velocity is given by v(t)=r²-4 feet/sec. What is the total distance, in feet, that the laser beam will have traveled between t=1 and t=3 seconds?
Answers
Answer:
4
Step-by-step explanation:
I used a calculator. I put integral values of 3 and 1 and then entered the equation inside absolute value bars
The total distance traveled by the laser beam in the given time interval is required.
The total distance traveled by the laser in the given time interval is 4 feet.
Equation of motionThe given equation is
[tex]v(t)=t^2-4[/tex]
The given time interval is from t = 1 to t = 3 seconds.
In order to find the distance traveled we need to integrate the equation with respect to time and between the given intervals.
[tex]0=t^2-4\\\Rightarrow t=\pm 2=+2[/tex]
The laser will change the direction at [tex]t=2[/tex]
[tex]\int_1^3 v(t)=\int_1^2t^2-4 dt+\int_2^3t^2-4 dt\\\Rightarrow \int_1^3 v(t)=\dfrac{t^3}{3}-4t|_1^2+\dfrac{t^3}{3}-4t|_2^3\\\Rightarrow \int_1^3 v(t)=\left|\dfrac{2^3}{3}-4\times 2-(\dfrac{1^3}{3}-4)+\dfrac{3^3}{3}\right|-\left|4\times 3-(\dfrac{2^3}{3}-4\times2)\right|\\\Rightarrow \int_1^3 v(t)=\dfrac{5}{3}+\dfrac{7}{3}\\\Rightarrow \int_1^3 v(t)=\dfrac{12}{3}\\\Rightarrow \int_1^3 v(t)=4\ \text{m}[/tex]
Since, here distance is asked the absolute value of each integral is used.
Learn more about equation of motion:
https://brainly.com/question/25951773