Answer:
Other root of equation, [tex]\frac{8}{3}[/tex]
Value of ([tex]b[/tex]), [tex]-17[/tex]
Step-by-step explanation:
The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,
[tex]y=ax^2+bx+c[/tex]
To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,
[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]
[tex](x_1)(x_2)=\frac{c}{a}[/tex]
Substitute the given values into the equation,
[tex]3+(x_2)=-\frac{b}{3}[/tex]
[tex](3)(x_2)=\frac{24}{3}[/tex]
Simplify,
[tex](3)+(x_2)=-\frac{b}{3}[/tex]
[tex](3)(x_2)=8[/tex]
Inverse operations,
[tex](3)+(x_2)=-\frac{b}{3}[/tex]
[tex]x_2=\frac{8}{3}[/tex]
Substitute in the value of ([tex]x_2[/tex]),
[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]
Simplify, convert to improper fractions and combine like terms,
[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]
[tex]\frac{17}{3}=-\frac{b}{3}[/tex]
Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,
[tex]17=-b[/tex]
At a fastfood, 28 burgers are being ordered for every 7 customers. The number of burgers being ordered is directly proportional to the number of customers.
What is the constant of proportionality that relates the number of burgers ordered to the number of customers?
1/4
1/7
4
7
What is the area of the triangle to the left?
80.4 sq. in
72 sq. in
40.2 sq. in
36 sq. in
Answer:
There is no image
Step-by-step explanation:
A school principal is trying to decide how long the breaks should be between periods. He plans to time how long it takes several students to get from one classroom to another. Name a tool he could use to collect the data.
he could use a bar graph to plot data
Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?
The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?
Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?
The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.
What is Percentage?Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Initial amount, P = $250
Rate of interest, r = 4% = 0.04
Interest amount = P × r × t, where t is the number of years = 1 here.
= 250 × 0.04 × 1
= $10
28% of the total fundraising goal = $700
Let x be the total fundraising goal.
28% × x = 700
0.28x = 700
x = 700 / 0.28 = $2500
Total number of students = 650
Sameer scored better than 78% of all students.
Number of students that Sameer scored better = 78% × 650
= 0.78 × 650
= 507
Hence all the answers are found.
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Pls help. I need a scatterplot for this representation.
1: hrs: 0.7 gpa: 1.11
2: hrs: 18 gpa: 4
3: hrs: 16.7 gpa: 3.21
4: hrs: 18 gpa: 3.7
5: hrs: 13.8 gpa: 1.42
6: hrs: 21.9 gpa: 3.69
7: hrs: 19.5 gpa: 3.77
8: hrs. 15.5 gpa: 3.92
9: hrs: 0.7 gpa: 1.11
10: hrs: 16.7 gpa: 3.5
What is Pi?
like the numbers
Answer:
3.14159265359
Step-by-step explanation:
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ
Answer:
find the area of sercomfrance
Step-by-step explanation:
Part F:
Find the length and width of rectangle GFKJ, and calculate its area.
Only answer if you know!
Answer: length of rectangle GFKJ = FK = (30 – 8) = 22 feet
width of rectangle GFKJ = GF = 5 feet
area of rectangle GFKJ = length × width
= 22 × 5
= 110 square feet
I wish that helped
Step-by-step explanation:
Interpreting an Expression
Jerome wrote the following scenario to match the algebraic expression s
4
− 16:
“16 fewer than four times the number of songs on my mp3 player”
Does his scenario match the expression? Explain.
The scenario does not match the expression, the expression is 4 - 16 so it would be 16 fewer than 4 songs
pls tell me what is 10+10
Answer: it’s 20 hope this helps:)
Step-by-step explanation:
Answer
The answer is 20
Does anyone wanna ta lk? im pretty bo red at the moment
Answer:
No thanks
Step-by-step explanation:
Answer:
sure what up?
Step-by-step explanation:
pls help write a rule to represent the sequence then b find a to 9th -8, -16, -32, ...
help will mean alot to me
Answer:
x2
Step-by-step explanation:
This sequence starts with -8, and is being multiplied by 2 every term
PLEASE HELP IM TIMED ON THIS!!!
After simplifying, what will x be equivalent to?
a^9/a^2=a^x
Answer:
x = 7
Step-by-step explanation:
Hope this helps! : )
If Sin A = .3642, find the measure of Angle A to the nearest degree.
Answer:
the measure of angle A to the nearest degree is 36°
The measure of angle A to the nearest degree is 21°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the inverse sine function (denoted as sin⁻¹ or arcsin) to find the measure of angle A:
sin A = 0.3642
Taking the inverse sine of both sides, we get:
A = sin⁻¹(0.3642)
Using a calculator, we get:
A ≈ 21.3°
Rounding to the nearest degree, we get:
A ≈ 21°
Therefore,
The measure of angle A to the nearest degree is 21°.
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HELP
what is 3^9 x 3^5?
Answer:
[tex]3^{14}[/tex] or 4,782,969
Step-by-step explanation:
Note that the base are the same (3). In this case, when you are multiplying, add the powers together:
[tex]3^9 * 3^5 = 3^{9 + 5} = 3^{14}[/tex].
~
claire makes a bracelet using blue and red beads. each bracelet has 20 red beads and 5 blue beads. write an ordered pair to represent the number of red beads and blue beads claire will use to make 8 bracelets. (if u even try leaving a link, i’m reporting u) pls help btw i’m in need of help immediately!)
Answer: (20, 5) or (5, 20)
Explanation: An ordered pair is made up of a set of numbers, one number for each dimension, contained in a set of parenthesis and separated by commas. In this problem, there are two dimension; red beads and blue beads. The ordered pair is comprised of the number of red beads (20) and the number of blue beads (5). Following the format previously described we get the answer (20, 5). You can also write (5, 20) since neither number depends on the other.
Help on this problem please!!
Answer:
points (8, 0) and (3, 0)
Step-by-step explanation:
Here we're being asked to find the roots of this quadratic equation.
Set f(x) = 3(x² - 11x + 24 = 0.
This factors into f(x) = 3(x - 8)(x - 3) = 0.
Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3. These correspond to the points (8, 0) and (3, 0).
Ron measured the radius of a quarter to be 11 millimeters. Which expression can he use to
find the circumference of the coin?
Answer:
2x11xpie
Step-by-step explanation:
helpppp assaaaaaaap
determine the equation of line (AB)
A(I;1) and B(0;5)
10.A recipe that Kyleigh is making requires 3 pounds of flour. If Kylegh wants to triple the recipe,
how many ounces of flour will be needed?
Answer:
kayleigh will need 9 pounds of flour
Which graph does not represent a function
Answer:
The graph that does not represent a function is;
The first graph of the circle
Step-by-step explanation:
A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range
Therefore, a function maps an input to exactly one output
In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle
In the graph of the circle, we have;
When x = 0 at the origin, y = 0
Similarly
When x = 0 at the maximum point, y = 4
Therefore, the graph of the circle does not represent a function.
janice bought a gift for her friend she placed it with a length 9 of width of 4 and a height of 3
8(2x + 3) = PxQ
A. ¿Para cuáles valores de PyQ la ecuación tiene una infinidad de soluciones?
B. ¿Para cuáles valores de PyQ la ecuación no tiene solución?
Recuerda contestar todas las partes de la pregunta en el espacio provisto.
Respuesta:
P = 16; Q = 24
P = 0; Q = 0
Explicación paso a paso:
Dada la relación:
8 (2x + 3) = Px + Q
Abra el soporte
16x + 24 = Px + Q
Los valores de P y Q para los que la ecuación tiene infinidad de solución:
Px = 16x
Q = 24
Por tanto, en P = 16; Q = 24, la ecuación tiene infinidad de soluciones.
Valores de P y Q para los que la ecuación no tiene solución:
Px = 0; P = 0
Q = 0
Por tanto, los valores de P y Q para los que la ecuación no tiene solución es 0
Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction
Answer:
Imagine an easier version of this problem: You have a board 5 feet long that you must cut (divide, right?) into two equal parts. It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).
Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.
We do not ordinarily divide feet into decimal portions, but instead into inches. Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths? or 5/6 = n/12 Solve this by inspection or by cross multiplying 5 times 12 equals n times 6. So n must equal 10, and your pieces of board are each 10 inches long.
PLEASE!!! I need this turned in tonightttt
Answer:
8 like I'm trying maybe I'll be good at math someday
Step-by-step explanation:
hehe
help meeeee. what does x equal?
Answer:
[tex]x = 25 \degree \: (alternate \: interior \: angles)[/tex]
Answer:
25 degrees because the angle right on the other side is also 25 degrees
I need help with this
Answer:
x3x3zexfvvfxrcybubyx3zrcyn
Use SAS to explain why ΔABC ≅ ΔEDC
Find the image of the point under a
dilation centered at (0,0) with the given
scale factor.
(-4,7)
Scale Factor = 0.2
([?], []).
Answer:-.8,1.4
Step-by-step explanation:Had this question on my exam hope I helped:))
Help with math ASAP!!!
