Answer:
its option B : 18x3 – 12x2 + 9x – 6
Step-by-step explanation:
[tex]12( \frac{ -2 }{3}) {}^{2} +23( \frac{ - 2}{3} )+10= \frac{16}{3} − \frac{46}{3} +10=0[/tex]
12x² + 15x + 8x + 10 has a binomial factor of (3x+2).
What is a Quadratic equation?ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
We may utilize the factor theorem, which asserts that if a polynomial f(x) has a component (x - a), then f(a) = 0, to identify which polynomial has (3x + 2) as a binomial factor.
In this situation, finding a value of x that reduces 3x + 2 to zero is necessary since we are trying to discover a polynomial that contains (3x + 2) as a component. We obtain x = -2/3 by solving 3x + 2 = 0.
Let's try the polynomials one by one:
(a) 6x³ + 3x² + 4x + 2:
f(-2/3) = 6(-2/3)³ + 3(-2/3)² + 4(-2/3) + 2
= -8/3 - 4/9 - 8/3 + 2
= -32/9,
so (3x + 2) is not a factor.
(b) 12x² + 15x + 8x + 10:
f(-2/3) = 12(-2/3)₂ + 15(-2/3) + 8(-2/3) + 10
= 16/3 - 10 - 16/3 + 10
= 0,
so (3x + 2) is a factor.
(c) 18x³ - 12x² + 9x - 6:
f(-2/3) = 18(-2/3)³ - 12(-2/3)² + 9(-2/3) - 6
= -32/3 + 8/3 - 6 - 6
= -32/3,
so (3x + 2) is not a factor.
(d) 21x⁴ + 7x³ + 6x + 2:
f(-2/3) = 21(-2/3)⁴ + 7(-2/3)³ + 6(-2/3) + 2
= 64/27 - 56/27 - 4 + 2
= 2/27,
so (3x + 2) is not a factor.
Therefore, the only polynomial that has (3x + 2) as a binomial factor is 12x² + 15x + 8x + 10.
Learn more about Quadratic equations here:
https://brainly.com/question/22364785
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what is the the mode of April's temperatures?
A
B
C
D
Answer:
B: no mode
Explanation:
A mode is a number that occurs often in a set of data. Since all of April's temperatures are different, there is no mode.
Answer:
b because mode is the how many times a number pop up it has to be the same
Step-by-step explanation:
Emily asked the players on her volleyball team their height in inches and listed the results below. What is the mean of the data set? Round to the nearest tenth when necessary
Answer:the range is 10 pls gimme brainless plsss I need it
Step-by-step explanation:
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
[tex]15c - 1[/tex]
Step-by-step explanation:
[tex]3(5c + 3) - 10[/tex]
Apply the distributive property.
[tex]3(5c) + 3 \times 3 - 10[/tex]
Multiply 5 by 3.
[tex]15c + 3 \times 3 - 10[/tex]
Multiply 3 by 3.
[tex]15c + 9 - 10[/tex]
Subtract 10 from 9.
[tex]15c - 1[/tex]
Hope it is helpful....write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
Compare the two functions below in two complete sentences.
Help
Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1 i guess
(-3)=−22−3+11
EVALUATE
Answer:
− 3 = − 14
Step-by-step explanation:
Hope this helps !
Help me pls, tysm! I will give brainly if you give me the right answer, tysm! I need help on number 6 btw
Answer: 96 feet
Step-by-step explanation:
how do you find the radius when given the volume and height?
Answer:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume. SOO just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation.
Step-by-step explanation:
brainliest?
A cup of milk has 10 grams of protein. How much protein is in 2.5 cups of milk?
Answer:
25 grams of protein
Step-by-step explanation:
10 grams of protein is in 1 cup of milk.
To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.
There are 5 grams of protein in 0.5 cups of milk.
Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.
There are 20 grams of protein in 2 cups of milk.
But, the question is asking for how much protein is in 2.5 cups of milk.
Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.
20+5 is 25 grams.
There are 25 grams of protein in 2.5 cups of milk.
Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown below?
A square prism. The front left points are labeled A and D. The back right points are labeled B and C.
a rectangle
a square
a kite
a trapezoid
Answer:
its not that i got it wrong
Step-by-step explanation:
A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.
Answer
let the triangle be supposed ABC
where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree
the base side of triangle is 6cm which means ;
By taking angle A as reference angle
Hypotenuse = AC = x(let)
perpendicular = BC
base = AB = 6 cm
then by taking base and hypotenuse
b/h = AB/AC
or, cos (30 degree)= 6/ x
x =[tex]4\sqrt{x} 3[/tex] cm
that concluded that AC = [tex]4\sqrt{3}[/tex] cm
Now,
by phythagorous theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]
so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm
Step-by-step explanation:
How many different 3-digit odd number can be formed with the digit 0,1,2 up to 9 if the repitition of digits is not allowed
Answer:
The answer is "320".
Step-by-step explanation:
They have to be 1, 3, 5, 7, and 9 as your final digit. Your middle digit may be anything other than the first digit, and only the last digit or 0, is anything.
Now let us take a look at strange digits ending in 1.
This can start from any digit other than 0, so there are 8 options during the first digit.
Its middle digit could only be 1 digit and 1 digit. Even so, it can also be 0, since it has 8 options.
So, [tex]8\times 8 = 64[/tex] strange number ending in 1.
For other strange amounts, the very same logic is working.
And thus there are 64 possible odd numbers for just about any number ending in any of the five odd digits: 1, 3, 5, 7, or 9.
The answer is [tex]5 \times 64 = 320[/tex].
Using the order of operations, what should be done first when evaluating this expression?
Negative one-half divided by 2 (9 + 3) minus 4 minus three-fourths (8)
Divide Negative one-half divided by 2.
Add 9 + 3.
Multiply Negative three-fourths (8).
Subtract 3 minus 4.
Answer:
You add (9+3)
Step-by-step explanation:
because PEMDAS evaluates the parenthesis first,
Answer:
It' B
Step-by-step explanation:
I got a 100 on the test
The volume of a rectangular prism is 1,560 cm3. The height is 12 cm. The width is w and the length is w + 3. Find w.
Answer:
w=10 cm
Step-by-step explanation:
The formula for the volume of a rectangular prism is V=whl.
So in this case, the equation would be 1560=w·12·(w+3). Then, we can simplify this equation.
1. Divide 12 to both sides of the equation. 1560/12=130. The equation becomes 130=w(w+3).
2. Distribute w through the parentheses, the equation becomes 130=w²+3w.
3. Then, -130 from both sides of the equation, so we can get the quadratic: w²+3w-130=0.
4. Factor the quadratic. w²+3w-130=(w-10)(w+13).
5. (w-10)(w+13)=0. w=10 or w=-13. However, w is the width of a rectangular prism, can the width of a shape be negative? No. So we can ignore the solution w=-13. Therefore, w=10cm.
6. To make sure our answer is correct, let's substitute the values back into the volume of a rectangular prism formula: V=whl. w=10; h=12; l=10+3=13; V=10(12)(13)=120*13=1560 cm³. As a result, our answer is correct, w=10 cm.
Hope this helps, have a nice day.
An equation for a quartic function with zeros 4, 5, and 6 that passes through
the point (7, 18) is
Answer:
One example of this can be:
P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)
Step-by-step explanation:
A quartic equation is a polynomial of degree 4.
Now, remember that for a polynomial of degree n, with leading coefficient A and zeros {x₁, x₂, ..., xₙ}
The polinomial can be written as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case we know that we have the zeros 4, 5 and 6.
Notice that this is a polynomial of degree 4 but we have 3 zeros, so one of them may be a double one, i will assume that is the 5.
And we have a leading coefficient that we do not know, let's call it A
Then we can write our polynomial as:
P(x) = A*(x - 4)*(x - 5)*(x - 5)*(x - 6)
Now we know that the polynomial passes through the point (7, 18), then:
P(7) = 18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)
With this equation, we can find the value of A.
18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)
18 = A*12
18/12 = A
(3/2) = A
Then our equation can be:
P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)
name a pear of lines that apper to be parallel
Please answer correctly I will mark you Brainliest!
Answer:
1047.12in³
Step-by-step explanation:
The volume of the sphere is:
V= 4/3 πr³
Where r is radius
Therefore the volume of each pinata is:
V= 4/3 x π x 5³
V= 523.6in³
The total:
V = 523.6 + 523.6 = 1047.12in³
Jenica bowls three games and scores an average of 116 points per game. She scores 105 on her first game and 128 on her second game. What does she need to score on her third game to get a mean score of 116?
Answer:
115 points on her third game.
Step-by-step explanation:
To find the answer add the first and second games together.
128 + 105 = 233 ÷ 2 = 116.5 (then divide by two because there is two games).
This is the average of two games. To find the average of THREE games try different numbers to see which number works.
233 + 110 = 343 ÷ 3 = 114.3
(so we have to try a higher number than 110).
233 + 112 = 345 ÷ 3 = 115 on average (still not enough).
233 + 115 = 348 ÷ 3 = 116. (we found the answer!)
233 + 115 = 348 ÷ 3 = 116
Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
What do you want from my world?
You're a good little girl♪♪♪
Answer:
Bad little boy
That's what you're acting like
I really don't buy
That you're that kind of guy
And if you are
Why do you want to hang out with me?
Step-by-step explanation:
i had to look in the internet hehe click the ❤️
please
MATH PLEASE HELP!! HELP BADLY NEEDED....
SOMEONE PLEASE HELP I'VE BEEN ASKING FOR DAYS NOW WITH SCALE FACTOR!!!!! I will give brainliest if right!!!!!!
Answer:
It has been answered for you
See this:
https://brainly.com/question/23012157
. Since beginning his artistic career, Cameron has painted 6 paintings a year. He has sold all but two of his paintings. If Cameron has sold 70 paintings, how many years has he been painting?
Answer:
12
Step-by-step explanation:
Through 12 years he would have painted 72 paintings and since he hasn't sold two of them he has only sold 70.
How to find volume of a cylinder by using the same dimensions of a cone but only knowing the volume of the cone
Answer:
Multiply the volume of the cone by 3
Step-by-step explanation:
Required
Volume of a cylinder from a cone of the same dimension
The volume of a cone is:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
The volume of a cylinder is:
[tex]V_2 = \pi r^2h[/tex]
Recall that:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
Split:
[tex]V_1 = \frac{1}{3}*[\pi r^2h][/tex]
Substitute: [tex]V_2 = \pi r^2h[/tex]
[tex]V_1 = \frac{1}{3}*V_2[/tex]
Make V2 the subject
[tex]V_2 =3V_1[/tex]
This implies that, we simply multiply the volume of the cone by 3
f(1) = -6
f(2) = -4
f(n) = f(n − 2) + f(n − 1)
f(3) =
Answer:
-10
Step-by-step explanation:
f(n)= f(n-2)+f(n-1)
• Put n = 3
=> f(3) = f(3-2) + f(3-2)
=> f(3) = f(1) + f(2)
=> f(3) = -6 + -4
=> f(3) = -10
Answer:
it in a file here
Step-by-step explanation:
xycba.com/file
Question is in picture
Make r the subject of x=e+r/d
Answer:
r = dx - de
Step-by-step explanation:
x = e + r/d
x - e = r/d
d (x - e) = r
dx- de = r
r = dx - de
What is the slope of the line through (-7,-2) and (−6,7)?
Answer:
slope = 9
Step-by-step explanation:
To find the slope of a line that passes through a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-7,-2) and (-6,7) into the formula and simplify:
[tex]m = \frac{(7)-(-2)}{(-6)-(-7)} \\m = \frac{7+2}{-6+7} \\m = \frac{9}{1} \\m = 9[/tex]
So, the slope is 9.
The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
(1, 8). Find a, b and c
Answer:
Step-by-step explanation:
You need to use vertex form of a quadratic to solve this.
Consider the vertex to be [tex](h,k)[/tex]
Another way of representing a quadratic is in "vertex form":
[tex]f(x) = a(x-h)^2+k[/tex]
Now all you have to do is solve for a. You know that the vertex is [tex](0,2)[/tex] and you have know the point of [tex](1,8)[/tex]. Now, all you have to do is plug in these values and solve for a.
[tex]8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6[/tex]
Now you know the equation is [tex]f(x) = 6(x-0)^2+2[/tex] , but you need it in quadratic form. All you have to do is solve is distribute the 6:
[tex]6x^2+2[/tex]
You get:
a = 6
b = 0
c = 2
Please mark this as brainliest if it satisfies your question
After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?
Use 3.14 for .
Answer: 25.12 inches
Step-by-step explanation:
C=2πr
8/2=4
2(3.14)(4)
2(12.56)
25.12
Answer:
25.12 inches
Step-by-step explanation:
So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.
This is correct only if you use π as 3.14 hope this helps :)
me needs a hug and help
Answer: C
Step-by-step explanation:
