The polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .
What is a Polynomial ?A polynomial is an expression that consists of indeterminate , Coefficients , exponents and mathematical operations.
It is given that
The zero of the function is at 3/4 with multiplicity of 2 = (x - 3/4)²
The zero of the function is at 1/3 with multiplicity of 1 = (x - 1/3)
The polynomial can be written as
f(x) = a (4x − 3)² (3x - 1)
-81 = a (0 − 3)² (0 -1)
a = 9
f(x) = 9(4x − 3)² (3x - 1)
Therefore the polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .
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what is the value of the fourth term in a geometric sequence for which a1=10 and r =0.5
Answer: 1.25
Step-by-step explanation:
The explicit formula for the sequence is [tex]a_{n}=10(0.5)^{n-1}[/tex]
Substituting in n=4,
[tex]a_{4}=10(0.5)^{4-1}=\boxed{1.25}[/tex]
If there are 3500 students in a school and 3/7 of them
are majoring in business, how many of them are majoring in business?
Answer:
1500
Step-by-step explanation:
3/7 of 3500
=3/7 × 3500
=150
Need some help ASAP and work shown. Ps; If you answer I’ll mark you brainliest.
Answer:
h ≈ 37 ft
Step-by-step explanation:
let x be the height of the tree from the viewers eye level
using the tangent ratio, then
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{72}[/tex] ( multiply both sides by 72 )
72 × tan24° = x
then
height of tree = x + 5 = 72tan24° + 5 ≈ 37 ft ( to the nearest foot )
Answer:
37ft
Step-by-step explanation:
It can be considered as a right angle triangle. The height of the tree is equal to the product of tan(24°) and the distance between the man and tree+5 Therefore
⇒h=tan(24°)*72+5⇒h≈32ft+5⇒h≈37In conclusion
The height of the tree is 37ft
pleeeeeeeeeeeease hellllllllp meeeeeee the circle has a center of 0.its raduis is 3 cm,and the central angle A measures 100.what is the area of the shaded region? give exact anwsers in term of pi .please hurry dont worry I have permission to post this for anybody who decides to report me again
Answer:
2.5 pi
Step-by-step explanation:
Comment
If you were trying to get the area of a whole circle, you would use
Area = pi r^2
You have to modify the formula to show that just part of the circle has an area that you are interested in.
The new formula is
Area = (theta/360) pi r^2
Givens
r = 30 cm
theta = 100
Solution
Area = (100 / 360) * pi * r^2 Substitute the givens into this formula
Area = (5 / 18) * pi * 3^2 Expand
Area = (5 / 18) * pi * 9 Cancel 9 into 18
Area = 5/2 * pi
Area = 2.5 * pi
What is the solution to 8t+3(t+4) =6(t-3)
Answer:
t = - 6
Step-by-step explanation:
8t + 3(t + 4) = 6(t - 3) ← distribute parenthesis on both sides )
8t + 3t + 12 = 6t - 18 , that is
11t + 12 = 6t - 18 ( subtract 6t from both sides )
5t + 12 = - 18 ( subtract 12 from both sides )
5t = - 30 ( divide both sides by 5 )
t = - 6
The school play sold $550 in tickets one night. The number of $8 adult tickets was 10 less than twice the number of $5 child tickets. How many tickets were sold for the adults vs the child tickets?
Answer:
This is my answer↓:
Step-by-step explanation:
He school play sold $550 in tickets one night.
The number of $8 adult tickets was 10 less than twice the number of
$5 child tickets.
How many of each ticket were sold
Let say child ticket sold = x
Adult tickets was 10 less than twice the number of child tickets.
=> Adult ticket sold = 2x - 10
Child ticket sold = x
$5 child tickets price
=> Revenue = 5x $
Adult ticket sold = 2x - 10
$8 Adult tickets price
=> Revenue = 8(2x - 10) =16x - 80 $
5x + 16x - 80 = 550
=> 21x = 630
=> x = 30
Child ticket sold = 30
Adult ticket sold = 50
Total ticket sold = 80
Mark as brainlist, thanks me, and rate. Hope it helps!!!
List five rational numbers between:
−4
7
and
1
2
5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}
How to find the rational numbers?
Remember that any integer is also a rational number.
So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.
To do that, we can just add 1 to the lowest bound, we will et:
-47 + 1 = -46
-45 + 1 = -45
-44 + 1 = -44
-43 + 1= -43
-43 + 1 = -42
So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}
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Complete the recursive formula of the geometric sequence 56, -28, 14, -7,....
Step-by-step explanation:
each term in the sequence is half of the value of the previous term, and in the opposite sign.
therfore, the quotient between terms is (-2)
so, to get one term from the previous term, we multiply by 1/(-2), so:
d(n) = d(n-1) × 1/(-2)
the first term is 56 so d(1)=56
Answer:
56 and -1/2
Step-by-step explanation:
khan
Lesson Posttes
Which of the following composition of transformations would create an image that is congruent to its original
image?
A translation 2 units to the left followed by dilation by 1/2.
The correct option is (B).
What is congruency?It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.
The complete question is:
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right.
After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.
All other options are reflection and rotation, which not fit into the situation.
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Find the sum of all the even
numbers between 23 and 29.
Answer:
78
Step-by-step explanation:
even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2
the "sum" of a group of numbers is the numbers added together
So, the numbers between 23 and 29:
23, 24, 25, 26, 27, 28, 29
(even numbers are in bold)
if we add these numbers together,
{1} {carry the 1 from the 18 in the one's place}
24
26
+ 28
______
78
So the sum of all the even numbers between 23 and 29 is 78.
hope this helps!!
Determine the Theorem or Postulate that proves triangle
congruence. If the triangles cannot be proven congruent,
choose "not congruent."
Answer:
SSS theorem
Step-by-step explanation:
It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.
Which solid could have exactly two planes of symmetry?
Square Prism
Cylinder
Pentagonal Pyramid
Triangular Prism
Answer:
Triangular Prism
Step-by-step explanation:
A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry.
What is the square root of -1? Complex numbers
Answer:
The square root of -1 is i
Step-by-step explanation:
"i" is the imaginary unit and represents the value of sqrt -1
Solve the system of equations by graphing.
y = x − 6
3x − 3y = 18
X = 6
Y = (-6)
5=1 2/3x how do I solve for x?
You'll first Cross multiply: 5× 3x
that'll give you 15x.
15x=12(12 is a numerical constant).
Divide both sides by the the coefficient of X .That is 15x/15= 12/15
Therefore the answer is 12/15= x
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]
[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]
[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]
[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]
[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]
[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]
[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]
[tex]\mathsf{x = \dfrac{15}{5}}[/tex]
[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]
[tex]\mathsf{x = \dfrac{3}{1}}[/tex]
[tex]\mathsf{x = 3\div1}[/tex]
[tex]\mathsf{x = 3}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Need help with this geometry question
Answer: C
Step-by-step explanation:
[tex]50 < 5x-10\\\\60 < 5x\\\\x < 12[/tex]
However, the angle has to have positive measure, so:
[tex]5x-10 > 0\\ \\ 5x > 10\\\\x > 2\\\\\therefore \boxed{2 < x < 12}[/tex]
Give the following number in Base 16
NO LINKS!!!
Answer:
[tex]\large{\boxed{35_{10} = \sf 23_{16}}}[/tex]
Explanation:
[tex]\sf Given : 35_{10}[/tex]
Compute:
35 ÷ 16 = 2.1875 = 2R3
2 ÷ 16 = 0.125 = 0R2
Jot down the remainders:
3 ↑2 ↑======
[tex]\sf Answer : \ 35_{10} = 23_{16}[/tex]
[tex]\hrulefill[/tex]
Let's look at another example: [tex]\sf 325_{10} = [?]_{16}[/tex]
Compute:
325 ÷ 16 = 20.3125 = 20R5
20 ÷ 16 = 1.25 = 1R4
1 ÷ 16 = 0.0625 = 0R1
Jot down remainders:
5 ↑4 ↑1 ↑=====
[tex]\sf 325_{10} = [145]_{16}[/tex]
[tex]\hrulefill[/tex]
Another example: [tex]\sf 500_{10} = [?]_{15}[/tex]
Compute:
500 ÷ 15 = 33.33... = 33R5
33 ÷ 15 = 2.2 = 2R3
2 ÷ 15 = 0.13... = 0R2
Jot down remainders:
5 ↑3 ↑2 ↑=====
[tex]\sf 500_{10} = [235]_{15}[/tex]
This is general conversation of decimal integer to hexadecimal integer
Let's check
(35)_10This is in decimal form
We know the ways to convert decimal into other forms like
Binary—»Divide by 2Octal—»Divide by 8Hexadecimal —»Divide by 16For third way
35/16=2(2)_16 is one part
Next
35%16=33 is not divisible by 16
i.e
3%16=0Hence
other part is (3)_16
Add (not general addition)
The final answer is
(23)_1650 people sponsor Paula and she raises a total of $180.65 for charity. 28 people sponsor Kate and she raises a total of $135.60 for charity. 45 people sponsor Sam and he raises a total of $169.25 for charity.
How much money is raised altogether by three of them?
$_____________
Answer:
485.5
Step-by-step explanation:
180.65+135.60+169.25
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answer:
–6x + 15 < 10 – 5x
An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Step-by-step explanation:
When you break down -6x + 15 < 10 - 5x, you get x > 5.
Because x is GREATER than 5, when making a number line, there is an open circle on 5 and a bold line pointing to the right.
Need help with Math (Quadratic)
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
vertex formThe vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
equationFor vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
consider the quadratic function f(x)= x^2 -8x-4 what is the value of the leading coefficient
The leading coefficient of the quadratic equation f(x)= x² – 8x – 4 will be 1.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
Then we have the quadratic equation given below.
f(x)= x² – 8x – 4
f(x)= x² – 8x + 16 – 16 – 4
f(x)= (x – 4)² – 20
Then the leading coefficient will be 1.
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Find the sum.
([tex](-54x^{5}+35x^{3}-61)+(5x^{5}-69x^{3}-7)=[/tex]
Answer:
125250
Step-by-step explanation:
I just askeked and it gave me the answere
Answer: [tex]-49x^{5} - 34x^{3} - 68[/tex] or [tex]49x^{5} + 34x^{3} + 68[/tex]
Step-by-step explanation:
Since both groups have the same variables and exponents, just align them and add.
[tex]-54x^{5}+5x^{5} = - 49x^{5}[/tex]
[tex]35x^{3} - 69x^{3} = -34x^{3}[/tex]
- 61 - 7 = - 68
[tex]-49x^{5} - 34x^{3} - 68[/tex]
Solve the following inequality: ALGEBRA 1
Answer:
[tex]m > 5[/tex]
Step-by-step explanation:
[tex] \frac{m + 4}{3} > 3 \\ \frac{m + 4}{3} \times 3 > 3 \times 3 \\ m + 4 > 9 \\ m + 4 - 4 > 9 - 4 \\ m > 5[/tex]
Add. State the sum in simplest form.
Answer:
[tex] \frac{ {3x}^{2} }{x + 5} + \frac{15x}{x + 5} [/tex]
[tex] \frac{3 {x}^{2} + 15x}{x + 5 } [/tex]
3x ( x + 5) /( x + 5).
3x, X is not equal to (-5)What is the solution to -¾x+2<_-7
Answer:
[tex]x\geq 12[/tex]
Step-by-step explanation:
[tex]-3/4x + 2 \leq -7\\-3/4x \leq -9\\x \geq 12[/tex]
Sarah has a solid wooden cube with a length of 4/5 centimeter. From each of its 8 corners, she cuts out a smaller cube with a length of 1/5 centimeter. What is the volume of the block after cutting out the smaller cubes?
The volume of the block after cutting out the smaller cubes is [tex]\frac{63}{125}[/tex] cubic units.
Given that, Sarah has a solid wooden cube with a length of 4/5 centimetres. From each of its 8 corners, she cuts out a smaller cube with a length of 1/5 centimetre.
We need to find the volume of the block after cutting out the smaller cubes.
What is the volume of a cube?The volume of a cube is defined as the total space enclosed by the cube in a three-dimensional space. The formula to find the volume of a cube is a³, where a=edge of a cube.
Now, the volume of a solid wooden cube with a length of 4/5 centimetre
[tex]=(\frac{4}{5} )^{3} =\frac{4}{5} \times \frac{4}{5}\times \frac{4}{5}=\frac{64}{125}[/tex] cubic units.
The volume of a smaller cube with a length of 1/5 centimetre
[tex]=(\frac{1}{5} )^{3} =\frac{1}{5} \times \frac{1}{5}\times \frac{1}{5}=\frac{1}{125}[/tex] cubic units.
The volume of the block after cutting out the smaller cubes[tex]=\frac{64}{125}-\frac{1}{125}=\frac{63}{125}[/tex]
Therefore, the volume of the block after cutting out the smaller cubes is [tex]\frac{63}{125}[/tex] cubic units.
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Answer:
the answer is 64/125 <3
Investments increase exponentially by
about 26% every 3 years. If you made a
$2,000 investment, how much money
would you have after 45 years?
Future Amount = $[?]
Hint: Future Amount = (1 + r)
Į(1
←time
periods
initial growth
Answer:
29
Step-by-step explanation:
if you calculate the mathimatical equipment to the $2,000 it'll be better
Given: m∠ELG = 124°
Prove: x = 28
3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.
Answer:
By using opposite angles of two intersecting straight lines are congruent we proved that x = 28°
Step-by-step explanation:
Opposite angles of two intersecting straight lines are congruent
Therefore ∠DLE = ∠GLH
Here ∠DLE = 2x = ∠GLH
Sum of all angles on a straight line is 180°
Therefore ∠ELG + ∠GLH = 180°
Given that ∠ELG = 124°
124° + ∠GLH = 180°
124° + 2x = 180°
2x = 180° - 124°
2x = 56°
x = 28°
hence proved that x = 28°
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need help with this please
Answer:
no lo sé no lo sé
Step-by-step explanation:
solo se que nada se
Can anyone help me???
Answer:
principal (p)=$1300
Interest (I) =$28.67
Time( T) = 1 year
R=?
we have,
R = I*100/T*R
