To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
Factorizationq(x)=12x^5+40x^4-32x³
q(x)=4x³ (3x²+10x-8)
q(x)=4x³(3x²+12x-2x-8)
q(x)=4x³ [(3x (x+4)-2 (x+4)]
q(x)=4x³ (3x-2) (x+4)
When:
q(x)=0; x1=0; x2=2/3; x3=-4
Hence:
When:
x=0 the multiplicity is 3
x=2/3 the multiplicity is 1
x=-4 the multiplicity is 1
Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
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the Area of the circles
Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²
Answer:
254 cm^2.
Explain:
The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
What’s value of x in 12x-11=2x+5
Answer:
x = 1.6 or [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
12x - 11 = 2x + 5
Add 11 to both sides,
12x - 11 + 11 = 2x + 5 + 11
12x = 2x + 16
Subtract 2x from both sides,
12x -2x = 2x - 2x + 16
10x = 16
Divide both sides by the same factor (in this cas the factor is 10),
[tex]\frac{10x}{10} =\frac{16}{10}[/tex]
[tex]x=\frac{8}{5}[/tex]
x = 1.6 or [tex]\frac{8}{5}[/tex]
Is 3x + 4 a factor
of f(x) = 3x2 + 13x2 + 18x + 8?
Answer:
Yes
Step-by-step explanation:
Yes, because the remainder of f(x) is 0
Answer:
4/3
Step-by-step explanation:
correct this answer
16. An online magazine charges $45,000 for a 3-month contract for a banner ad
displayed above its weekly feature article. The magazine has 120,000
subscribers and gets 195,000 hits per day. What is the banner's cost per
subscriber if a banner ad was taken for a year?
Answer:
$1.50
Step-by-step explanation:
There are 4 3-month periods in a year.
$45,000 per 3 months period × 4 = $180,000 cost
$180,000 ÷ 120,000 subscribers = $1.50
The banner ad costs about $1.50 per subscriber
What is the area of the figure?
A) 18 yd2
B) 54 yd2
C) 72 yd2
D) 90 yd2
Answer:
72 yd²
Step-by-step explanation:
area of this figure = area of 1st rectangle + area of 2nd rectangle
= l×b + L×B
= 6 × 5 + 14 × 3
=30 + 42
= 72 yd²
Answer:
the answer c 72 yd2
Step-by-step explanation:
What is the y intercept of the equation-16x^2+64x+80?
Answer:
(0, 80)
Step-by-step explanation:
The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.
__
The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).
what number correctly completes the following probability distribution for the number of boys in a family of 3 children?
3 boys = 0.125
2 boys = 0.375
1 boy = 0.375
0 boys = ?
Answer: 0.125
Step-by-step explanation:
Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer
Read the sentence.
When my cousin Jason suddenly showed up out of the blue, it was an unexpected surprise because we had no idea that he was coming to the special event that our family had planned ahead of time.
Which revision most effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box.
The first sentence is correct.
Answer: We were surprised when my cousin jason attended our family reunion.
Step-by-step explanation: I took the k12 quiz and got it right.
Find the length of the midsegment of the trapezoid.
Answer:
MN=66.5
Step-by-step explanation:
Add 57 and 76, then divide by 2.
Write (b^3)^2 without exponents
Answer:
(b)(b)(b)(b)(b)(b)
Step-by-step explanation:
[tex](b^3)^2=b^6[/tex]
(b)(b)(b)(b)(b)(b)
Answer:
Step-by-step explanation:
(b^3)^2
= b^(3*2)
= b^6
= b*b*b*b*b*b.
help pls quick i need the answer pls
Answer:
multicultural
Step-by-step explanation:
Answer:
A. Multicultural
Step-by-step explanation:
It shows later in the sentence that they ate Thai noodles and Egyptian falafel those come from different cultures so it must be multicultural
Which fractions are equivalent to 5/8?
Select each correct answer.
20/32
25/64
10/16
50/80
10/13
Evaluate e^-1.6 round your answer to five decimal places
Find the constant rate of change for each graph.
Answer:
i believe the rate of change is 1/1 or just 1.
there is also 1 graph only?
$117 per week is proportional to $234 per 2 weeks.
The proportion is____?
A proportion is a comparison between two ratios.
A ratio is a proportion between two numbers.
To write a proportion, create two comparisons with two numbers and set them equal to each other.
Solving the QuestionWe're given:
$117 per week$234 per 2 weeksThese ratios are proportional to each otherWrite two ratios:
[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]
[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]
Set them equal to each other:
[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]
Answer[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]
What is cosK?
(25)/(7)
(25)/(24)
(7)/(25)
(24)/(25)
Step-by-step explanation:
7/25
we need to remember this triangle with 90° 7, 24, 25
HELP ASAP FIRST GET BRAINIEST
!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
just imagine that they are folding and what they would fold into.
this kind of question is a memory test.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
Write an exponential expression with 5 as the base and 8 as the exponent?
Answer:
y=[tex]5^{8}[/tex]
Step-by-step explanation:
An exponential equation is in the form y=[tex]a^{x}[/tex] where a is the base and x is the exponent.
If 5 is the base then it would replace a, and if it 8 was the exponent it will replace x.
A rectangular prism is a
Choose...
two-dimensional, three dimensional or one dimensional.
Answer: Three dimensional
Step-by-step explanation:
A rectangular prism is a three-dimensional shape.
[] A one-dimensional shape is a line
[] A two-dimensional shape is a rectangle, circle, etc
[] This means that a rectangular prism is a three-dimensional shape
A rectangular prism is a
Two dimensionalThree dimensional Four dimensional Explanation -:A rectangular prism is three dimensional.
One dimensional -:
Lines that have length in at least one direction.Two dimensional -:
Shapes that are flat and have two dimensions i.e. length and breadthThree dimensional -:
A solid figure that has three dimensions i.e. length, breadth and height.[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny \rm{spbankingandsscseries}[/tex]
[tex] \rule{75mm}{6pt}[/tex]
Which persons dues are cheaper per month? explain. (please help)
Answer:
Claire
Step-by-step explanation:
A stone is projected vertically upward from a platform that is 18ft high at a rate of 114ft/sec. Use h=−16t^2+v0t+h0.
Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:
h(t) = -16t² + 114t + 18.
Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.
Hence:
[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]
[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]
Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
please add these number togeather
Answer:
314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79
=840.75
Given f(x)=5(x^2+1)+16, what is the value of f(11)?
Answer:
The value of f(11) is 9.
The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.
From the parameters given;
we are to replace x with 11 wherever we see x
∴
f(11) = 9
Step-by-step explanation:
Find the area of the figure
answer:
178.5398mm²
explanation:
attached
--
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Identify the indicated angles as Adjacent, vertical, linear, or complimentary
Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.
Equation:
Answer: x=
Answer:
x= (26.61-3.39)/18
Step-by-step explanation:
What is the volume of a cube with an edge length of 7.3 cm?
Enter your answer in the box
Answer:
389.017 cm³
Step-by-step explanation:
Given:
Side length of cube = 7.3 cmThe volume of a cube is the cube of the side length.
V = (side length)³Substitute the side length of the cube to determine the volume of the cube.
⇒ V = (s)³
⇒ V = (7.3)³
⇒ V = (7.3)(7.3)(7.3) = 389.017 cm³
Answer: 389.017
Step-by-step explanation: I just took the test.
Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9
Answer:
x= -4, y=-3
Step-by-step explanation:
solving the two equations simultaneously you'll get x to be-4 and y to be -3
x+ 5y= -19
3x-y=-9
multiplying the second equation by5
15x-5y=-45
adding eqn 1 and eqn 3
16x= -64
x= -4
substituting into eqn 2
3(-4)-y= -9
-y= -9+12
-y= 3
y=-3
Please help me!
I’ll give 20 points
Answer:
Both answer is C
Step-by-step explanation:
30:20
3:2
Thus, (24/3)×2
=16 inch
Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure
