Answer:
g(x) = 3(x-9)(x-5)
Zeros: x = 9 and x = 5.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]g(x) = 3x^{2} - 42a + 135[/tex]
So
[tex]a = 3, b = -42, c = 135[/tex]
[tex]\bigtriangleup = (-42)^{2} - 4*3*135 = 144[/tex]
[tex]x_{1} = \frac{-(-42) + \sqrt{144}}{2*3} = 9[/tex]
[tex]x_{2} = \frac{-(42) - \sqrt{144}}{2*3} = 5[/tex]
So
g(x) = 3(x-9)(x-5)
Zeros: x = 9 and x = 5.
a−8a=210, then a= [blank] .
a=-30 because -30-(8 x -30)=210.
Siobhan scores 4 out of 10 marks in a science test,
what is her score as a percentage?
Answer:
40 percent
Step-by-step explanation:
covert fraction 4 out of ten is 40 %
Answer:
40%
Step-by-step explanation:
A percentage is basically x/100.
Therefore, if we convert Siobhan's mark into a fraction, we get 4/10. Then, by converting the fraction to fit x/100, we get 40/100 (remember, we must do the same to both the numerator and the denominator, so in this case it's multiply them by 10). Now that we have x, we can fit that into the answer to get 40%.
I need help with these 3 question please and thank you I am so lost I been on this page for like hour now can someone please help me
Answer:
the 'questions' that you have posted are the answers for the questions above
Step-by-step explanation:
PLEASE HELP ...find the volume of the composite solid
Answer:
≈ 113.1 in³
Step-by-step explanation:
The figure comprises of a cylinder and a cone.
V cylinder = bh= πr²hV cone = 1/3bh = 1/3πr²hTotal volume is:
V = π*2²*8 + 1/3π2²*3 ≈ 113.1 in³20 points plz help me out
Answer:
13) x=5
14) x=70
16) x=42
Step-by-step explanation:
Couldn't read 15 sorry
What is the m∠2 if m∠4 = 81° and m∠3 = 40°?
a. 40°
b. 59°
c. 41°
d. 60°
Answer:
C. 41
Step-by-step explanation:
180 - 81 = 99
99+40 = 139
180 -139 = 41
What is the domain of this function?
Answer:
Option A
Step-by-step explanation:
A domain of a function are all the inputs of the function. (or x-values)
The picture is a function mapping.
The left 'oval' contains the domain, as the right 'oval' contains the range.
The numbers in the left oval are [-1,3,5]. Therefore, they are the domain of the function.
Option A should be your correct answer.
what i 12 x Q is greater than 12 but less than 24
Answer:
12 x 1.5 = 18.
Step-by-step explanation:
Pretty much anything between 1 and 2. :P
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations with their solution sets. y + 12 = x2 + x x + y = 3 y − 15 = x2 + 4x x − y = 1 y + 5 = x2 − 3x 2x + y = 1 y − 6 = x2 − 3x x + 2y = 2 y − 17 = x2 − 9x -x + y = 1 y − 15 = -x2 + 4x x + y = 1 Solution Set Linear-Quadratic System of Equations {(-2, 3), (7, -6)} arrowRight {(-5, 8), (3, 0)} arrowRight {(-2, 5), (3, -5)} arrowRight {(2, 3), (8, 9)} arrowRight
Answer:
Step-by-step explanation:
The solution of this systems of equations is the intersection of both graphs
Let's kick start with a:
a)
[tex]y+12 = x^2+x \\ \\ x+3 = y[/tex]
From the first attached diagram by using graph:
the solution is the set {(-5, 8), (3, 0)}
b)
[tex]y-15=x^3+4x \\ \\ x-y =1[/tex]
Using the graph tool from the last diagram below;
the solution is the set⇒( there is no solution)
c)
[tex]y+5 =x^2-3x \\ \\ 2x+y =1[/tex]
From the second attached diagram by using graph:
the solution is the set {(-2, 5), (3, -5)}
d)
[tex]y-6=x^2-3x \\ \\ x+2y =2[/tex]
the solution is the set ⇒ there is no solution (shown in the last diagram below)
e)
[tex]y-17=x^2-9x \\ \\ -x+y =1[/tex]
the solution is the set {(2, 3), (8, 9)} as shown in the third diagram
f) Lastly:
[tex]y-15=-x^2+4x \\ \\ x+y =1[/tex]
Using the graph tool from the fourth diagram below;
the solution is the set {(-2, 3), (7, -6)}
The solution to the system of equations are the truth values of the system of equations
[tex]\mathbf{(a)\ y + 12 = x^2 + x,\ x + 3 = y}[/tex]
The graphs of the equations intersect at (-5,8) and (3,0).
So, the solution set is {(-5,8), (3,0)}
[tex]\mathbf{(b)\ y - 15 = x^3 + 4x,\ x - y = 1}[/tex]
The graphs of the equations do not intersect
So, the system has no solution
[tex]\mathbf{(c)\ y + 5 = x^2 - 3x,\ 2x + y = 1}[/tex]
The graphs of the equations intersect at (-2,5) and (3, -5).
So, the solution set is {(-2, 5), (3, -5)}
[tex]\mathbf{(d)\ y - 6 = x^2 - 3x,\ x + 2y = 2}[/tex]
The graphs of the equations do not intersect
So, the system has no solution
[tex]\mathbf{(e)\ y - 17 = x^2 - 9x,\ -x + y = 1}[/tex]
The graphs of the equations intersect at (2,3) and (8,9).
So, the solution set is {(2, 3), (8, 9)}
[tex]\mathbf{(f)\ y - 15 = -x^2 + 4x,\ x + y = 1}[/tex]
The graphs of the equations intersect at (-2,3) and (7,-6).
So, the solution set is {(-2, 3), (7, -6)}
Read more about system of equations at:
https://brainly.com/question/12895249
combine like terms .Plez Halp TnT
A. 7a + 70 - 13 a - 1 lb
B. -5a - 12a + 2b - 3b
Answer:
[tex]a) - 6a + 70 - 11b[/tex]
[tex] b) - 17a - b[/tex]
Step-by-step explanation:
[tex]7a + 70 - 13a - 11b \\ 7a - 13a + 70 - 11b \\ = - 6a + 70 - 11b[/tex]
[tex] - 5a - 12a + 2b - 3b \\ = - 17a - b[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the relationship between a sample and a population?
a. A sample is a census that represents a population.
b. A sample and a population share the same meaning.
c. A sample is a small part of a population that represents that population.
d. A population is a small part of a sample that represents that sample.
Answer:
c. A sample is a small part of a population that represents that population.
Step-by-step explanation:
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
Relationship between sample and population : A sample is a small part of a population that represents that population.
Given,
Relationship between sample and population .
Here,
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
Know more about sample and population,
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The ratio of boys to girls in a group is 5:1. If there are 60 more boys than girls, work out how many people there are in total.
Answer:
The number of boys: a
The number of girls: b
=> a/b = 5
a - b = 60
=> (b + 60)/b = 5
=> b + 60 = 5b
=> 4b = 60 => b = 15 => a = 5 x 15 = 75
=> Total people:
T = a + b = 15 + 75 = 90
Hope this helps!
:)
what trinomial is represented by the tiles in the square?
Answer:
X^2-12x+ C
Step-by-step explanation:
Move 12x
To find the value c=(b/2^2,divide the coefficient of X by 2 and square the result.
Divide 12 by 2
(-1.6)^2
Multiply-1 by 6
(-6)^2
Raise -6 to the power of 2
36
find the missing leg if one leg is 18 units and the hypotenuse is 30 units
Answer:
24
Step-by-step explanation:
I will assume this is a right triangle with the information given
a^2+b^2 = c^2 is the Pythagorean theorem
18^2 + b^2 = 30^2
Subtract 18^2 from each side
18^2 - 18^2+ b^2 = 30^2 -18^2
b^2 =900 -324
b^2 =576
Take the square root of each side
sqrt(b^2) = sqrt(576)
b =24
Answer:
gggg
Step-by-step explanation:
bfdrfgnhtrh
What is the solution set to the equation x^2+6x+3=0
Answer:
That is a quadratic equation in which
a = 1
b = 6
c = 3
The quadratic formula is:
x = [-b +- sqr root (b^2 -4*a*c)] / 2*a
x = [-6 +- sqr root (36 -4 * 1 * 3)] / 2
x1 = [-6 + sqr root (24)] / 2
x2 = [-6 - sqr root (24)] / 2
Step-by-step explanation:
The dance committee consisted of 8 students. The committee will select three officers at random. What is the probability that Majed, Fahd, and Faleh are selected?
The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder?
Answer:
Height is 21cm
Step-by-step explanation:
Volume of the cylinder = 1029pi
Base area = 7x7xpi = 49pi
Therefor the height = 1029pi/49pi=1029/49 = 21cm
Answer:
21 cm.
Step-by-step explanation:
V = π r^2 h
1029π = π * 7^2 * h The π is common so:
1029 = 7^2 h
h = 1029 / 49
= 21 cm.
Which of the following figures could represent the cross section of a rectangular pyramid? Select all that apply.
A.
Circle
B.
Cube
C.
Rectangle
D.
Square
E.
Triangle
Answer:
Options C and E
Step-by-step explanation:
Option A. Circle
We can't get a cross section in the form of a circle.
Option B. Cube
We can't get a cross section in the form of a cube.
Option C. Rectangle
When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.
Option D. Square
We can not get a square by slicing a rectangular pyramid.
Option E. Triangle
By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.
Options C and E will be the answer.
Find the volume of the composite figure if necessary on answer to the nearest 10
Answer:
Volume = 2448 cm3
Step-by-step explanation:
Volume = volume of cube + volume of pyramid
= 12*12*12 + 12*12*15/3
= 1728 + 720 =2448
Which relation is a function?
The last answer is D:
10,15
20,25
8,30
20,35
Look at the picture aboveee
Answer:
A
Step-by-step explanation:
solution is A.
A relation is a function if no x value gives two or more values of y though different values of x may give same value of y.
Describe the symmetry of these functions
Answer:
line symmetry & rotational symmetry
Step-by-step explanation:
First given graphs of functions are symmetric about the y-axis while the second is not symmetric about any axis.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
For example, a square with a side of 10 cm and another with a side of 20 cm both square will be similar.
Given two graph of the any function.
If we look at first graph ;
If we fold it about the y-axis then it will be overlapped so it will be symmetric about the y-axis.
Now,
In the second graph; If we want to fold two portions of this graph such that both parts can overlap each other then it is not possible so it will not symmetric about any axis.
Hence "First given graphs of functions are symmetric about the y-axis while the second is not symmetric about any axis".
To learn more about symmetry,
https://brainly.com/question/1597409
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The given question has missing an image, image has been attached
Suppose a great white shark swims at a constant speed of 56 kilometers per hour. How many miles does it travel each minute? Round your answer to the nearest hundredth of a mile
Answer:
.58 miles/minute
Step-by-step explanation:
56 kilometers/hour * 0.621371 miles/kilometer * 1 hour/60 minutes
= .58 miles/minute
Answer:
Step-by-step explanation:
Whats yo ig???
PLEASE HELP WILL MARK BRAINLIEST
The temperature rose, which means it increased. An increase is a positive value, so add a plus sign in front of the number: +4
A decrease is a negative value, so add a negative sign in front of the value: -19
f(r) = 3.14r2 . What is f(3)?
Answer:
The value of f(3) = 28.26
Step-by-step explanation:
You have to do is to substitute r = 3 into the function :
[tex]f(r) = 3.14 \times {r}^{2} [/tex]
[tex]f(3) = 3.14 \times {3}^{2} [/tex]
[tex]f(3) = 3.14 \times 9[/tex]
[tex]f(3) = 28.26[/tex]
How do you solve this problem in the photo?
Answer: 5^2
Step-by-step explanation:
Since the base are all the same, you will add the exponents and let the exponents stay the same.
5^3 * 5^4= 5^7 * 5^-5= 5^2
Answer:
25
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
The rule can be extended to include more than 3 terms.
Given
5³ × [tex]5^{4}[/tex] × [tex]5^{-5}[/tex]
= [tex]5^{(3+4-5)}[/tex]
= 5²
= 25
A bag contains five red marbles, two orange marbles ,one yellow marble , and two green marbales. Two marbles are drawn from the bag. What is the approximate probability of choosing an orange marble and green marble?
Answer:
Should be 4/10
Step-by-step explanation:
If you add all the marbles up you get the total/denominator of 10. Then you find the fraction for orange marbles which is 2/10. Then the green, 2/10. Add the numerators and keep the denominator the same.
pls show work?!!!!!!!
Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
STATE IF THE TRIANGLE IS A RIGHT TRIANGLE
(PLZ SHOW WORK I NEED HELP)
I WILL MARK BRAINLIEST
Answer:
Yes, it's a right triangle.
Step-by-step explanation:
Use a^2 + b^2 = c^2
10^2 + 12.49 ^2 (its 2 39 square root) = 16^2
100 + 156 = 256
256 = 256
It ended up being equal to one another so yes, it is a right triangle.
Which expression represents the volume of this solid ?
Answer:
As shown in picture, here is a triangular pyramid whose volume is calculated by:
V = (1/3) x base area x height
= (1/3) x 20 x 30 x (1/2) x 27
= (20 x 30 x 27)/(2 x 3)
Hope this helps!
:)
Using the digits 0 to 9 at most one time each, fill in the boxes to generate equivalent numerical expression.
Answer:there are many ways you can use it. We used it this way. (8&1)(4&5)(9)(6&3)(7&2)
Step-by-step explanation:
The middle number using 9 like I did. You need all the other powers to add to 9 together. For example 8+1=9, 4+5=9,6+3=9 and 7+2=9