Answers
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
Related Questions
Factor.
20x2 – 19x + 3
Answers
Answer:
Here is your answer!
The weekly wages of employees of Volta gold are normally distributed about a mean of$1250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying 1) between $1320 and $970 2) over $1290 3) under $1400
Answers
Answer:
1) 0.7104 = 71%
2) 0.6615 = 66%
3) 0.8944 = 89%
Step-by-step explanation:
1)
Z(low)=-2.333 0.009815329
Z(upper)=0.583 0.720165536
2)
Z(low)=0.333 0.63055866
Z(upper)=8322.908 1
3)
Z(low)=-10.417 0
Z(upper)=1.25 0.894350226
In Natalie's class, 18 children listed math as their favorite subject while 15 said English was their favorite
subject. Eleven children liked both subjects equally well and 3 children didn't like either math or English. How
many children are in the class?
Answers
25 is your answer if i am sure, the question was confusing tho.
Which of the following questions are true? Select two that apply.
Answers
Answer: A and C
Step-by-step explanation:
The other choices aren't correct because
B. [tex]x^{\frac{4}{5} } =\sqrt[5 ]{x^{4}}[/tex]D. [tex](\sqrt{x^{3} } )^{8}=(x^{\frac{3}{2} } )^{8}=x^{\frac{24}{2} } =x^{12}[/tex]find the measure of the missing angles in the kite
Answers
Answer:
Step-by-step explanation:
In a kite, the angles between the two non- congruent side have the same degree.
x = 114 degrees
In a quadrilateral the sum of the inner angles is 360 degrees
88 + (114 * 2) + y = 360
88 + 228 + y = 360
316 + y = 360
y = (360 - 316)
y = 44 degrees
The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.
Answers
Answer:
20 and 55
Step-by-step explanation:
Let's assume, we have two numbers 'x' and 'y'.
Now, all we know is:
one number exceeds the other by 35 (i.e their difference is 35)sum of two numbers is 75So we form two equations:
x + y = 75_____(i)
and x - y = 35
so, x = y+35 _____(ii)
Put the value of x from (ii) into (i)
x + y = 75
y + 35 + y = 75
2y = 40
y = 20
Put value of y back in (ii)
x = y+35
x = 20 + 35
x = 55
The first number is 20, and the second number is 55.
Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.
Let's assume the first number is x.
According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).
The sum of the two numbers is given as 75, so we can set up the equation:
x + (x + 35) = 75
Simplifying the equation, we get:
2x + 35 = 75
Subtracting 35 from both sides:
2x = 40
Dividing both sides by 2:
x = 20
Therefore, the first number is 20, and the second number is (20 + 35) = 55.
Learn more about numbers click;
https://brainly.com/question/24908711
#SPJ4
5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times heavier is a blue whale than an elephant in pounds?
Answers
Answer:
42 more times
Step-by-step explanation:
1) 4×105=420 (pounds)-blue whale
2) 1×10=10 (pounds)- elephant
3) 420:10=42
The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.
We are given;Average weight of blue whale; W_w = 4 × 10^(5) pounds
Average weight of elephant; w_e = 1 × 10⁴ pounds
Now, we want to find how much more heavier the blue whale is than the elephant. Thus we will just divide W_w by W_e to get;W_w/W_e = (4 × 10^(5))/(1 × 10⁴)
According to laws of exponents;
a¹²/a³ = a¹² ¯ ³ = a^(9)
Applying that to our question gives;
4(10^(5 - 4)) = 4 × 10 = 40
Read more about exponents at; https://brainly.com/question/18248071
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞
Answers
Answer:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have;
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5
The correct option is therefore, F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Answer:
A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
Step-by-step explanation:
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.
Answers
Answer: 8 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED
2x=x+2
x=2
AC=2x+x+2
AC=3x+2
SUbstitute x
AC=3(2)+2
AC=6+2
AC=8
On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h
Answers
Answer:
A. 132 + 22h > 264
Step-by-step explanation:
Hourly sales = 22 glasses of fruit punch
Sales by 4 p.m = 132 glasses
Goal = more than 264 glasses
h = number of hours they must stay open to make their goal
The inequality:
132 + 22h > 264
22h > 264 - 132
22h > 132
h > 132/22
h > 6 hours
This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours
Please Help
Select the correct answer.
What is the slope of a line parallel to line r?
A. A line parallel to line r has an undefined slope.
B. 0
C. -1
D. 1
Answers
Answer:
B 0
Step-by-step explanation:
r is a horizontal line
horizontal lines are of the form y= constant
The slope for horizontal lines are 0
Parallel lines have the same slope.
Answer:
B 0
Step-by-step explanation:
the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0
find the missing side of the triangle
Answers
Answer:
197 is the missing side of the triangle
Can you answer me this question please? I have doubts. Thank you
Answers
Answer:
9Step-by-step explanation:Step-by-step explanation:you have 2 bars right ? the taller one has a frequency of 12 Step-by-step explanation:you have 2 bars right ? the taller one has a frequency of 12 so the half of the taller one is 6 which is smaller than the 2nd one right ? so the frequency of the smaller one is surely greater than half of the big which is 6 so the frequency should be from 6 upwards ....8. Solve the following triangle for all missing sides and angles.
Part I: Find the measure of angle B. (1 point)
Part II: Use the law of sines to find the length of side a. (2 points)
Part III: Use any method to find the length of side c. (2 points)
Answers
Answer:
Step-by-step explanation:
HELP ANSWER ASAP. what is the radius of a circle in which a 30 arc is 2pi inches long?
Answers
Answer:
I believe it's 12 in.
Step-by-step explanation:
hope this helps you!
Please see picture for question.
Answers
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
Nicole Tobin receives a salary of $250
per week plus a commission of 15% of all
sales over $1,500. Find her earning
during a week in which sales totaled
$3,000.
Answers
Answer:
Earnings = 475
Step-by-step explanation:
She gets a straight salary of 250
She sold 3000 worth of merchandise 3000
She receives a commission on anything over 1500 Subtract
She gets a commission on 1500
15% of 1500 = 15/100 * 1500 225
Earnings 475
HELP is it a, b, c , or d?
Answers
Answer:
B
when you input the first value of y which is -2
-2+2=(4/5)(x+9)
0=(4x+36)/5
multiply both sides by 5
0=4x +36
4x =-36
divide both sides by 4
x=-9
if you like my answer mark as brainliest
I need 26/50 simplified so I can answer an assignment
Answers
13/25
Step-by-step explanation:
Find: 26/50 simplified
Step 1: Find the GCF (Greatest Common Factor) of 26 and 50
26: 1, 2, 13 & 26
50: 1, 2, 5, 10, 25 & 50
The GCF (Greatest Common Factor) will be 2
Then simplify 26/50 by 2
26/50 = 13/25
find the missing side
Answers
Answer:
x ≈ 14.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )
x × tan73° = 48 ( divide both sides by tan73° )
x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is _____ cm.
Answers
If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.
Answer: Perimeter = 10.5 cm
Step-by-step explanation:
Concept:
Here, we need to know what is an equilateral triangle.
An equilateral triangle is a triangle in which all three sides have the same length.
Perimeter = 3a
a = side length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
a = 3.5 cm
Given formula
Perimeter = 3a
Substitute the value into the formula
Perimeter = 3 (3.5)
Simplify
Perimeter = 10.5 cm
Hope this helps!! :)
Please let me know if you have any questions
5-7
To rationalize the denominator of
9- 114 · you should multiply the expression by which fraction?
o
5+
g-ſ14
9-14
9-14
9+ 14
9+
14
14
14
Answers
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
follow the rule
[tex]\\ \sf\longmapsto \dfrac{a+b}{c-d}[/tex]
To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator
Like
[tex]\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}[/tex]
Here correct option is C
hi pls help. pls explain a bit thank you:)
Answers
Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
Can you help me out plz
Answers
Answer:
An isometry preserves all the following except orientation .
Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.
Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY
Answers
Answer:
C. The distance is the absolute value of the difference.Step-by-step explanation:
See the table made based on the given values.
It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.
So we can say that:
distance = |a - b|Correct choice is C
please help, i will give brainliest!
Answers
Answer:
hope that helps i don't know it either tho
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answers
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
can someone help me figure out how much my final exam is weighted?
in the grade book there are:
6 assignments for 10 points each
52 assignments for 20 points each (it’s not a typo i promise there was actually 52)
5 assignments for 30 points each
5 assignments for 40 points each
and 1 assignment for 60 points (aka the final exam)
my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a)
Answers
Answer:
About 4%
Step-by-step explanation:
6x10=60
52x20=1040
5x30=150
5x40=200
1x60=60
Total Points available:1510
Final Exam is 60 points
60/1510=0.0397
Find the volume of the water tank shown.
Depth: 1.8 m
Diameter : 2.4m
Volume = ? m3 (nearest m3)
Answers
Answer:
Step-by-step explanation:
r = d/2
r = 2.4 m/2 = 1.2
h = 1.8
pi = 3.14
Volume = pi * r^2 * h
Volume = 3.14 * 1.2^2 * 1.8
Volume = 8.139
Volume = 8 to the nearest m^3
Factor 4n4 + n3. find the factor
Answers
Answer:
n^3( 4n+1)
Step-by-step explanation:
4n^4 + n^3
2*2*n^3*n + 1*n^3
Factor out the common terms
n^3( 4n+1)
