Given:
The polynomial function is
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
Yuri thinks that [tex]\dfrac{3}{4}[/tex] is a root of the given function.
To find:
Why [tex]\dfrac{3}{4}[/tex] cannot be a root?
Solution:
We have,
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
If [tex]\dfrac{3}{4}[/tex] is a root, then the value of the function at [tex]\dfrac{3}{4}[/tex] is 0.
Putting [tex]x=\dfrac{3}{4}[/tex] in the given function, we get
[tex]q(\dfrac{3}{4})=6(\dfrac{3}{4})^3+19(\dfrac{3}{4})^2-15(\dfrac{3}{4})-28[/tex]
[tex]q(\dfrac{3}{4})=6(\dfrac{27}{64})+19(\dfrac{9}{16})-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=3(\dfrac{27}{32})+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{81}{32}+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
Taking LCM, we get
[tex]q(\dfrac{3}{4})=\dfrac{81+342-360-896}{32}[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{-833}{32}\neq 0[/tex]
Since the value of the function at [tex]\dfrac{3}{4}[/tex] is not equal to 0, therefore, [tex]\dfrac{3}{4}[/tex] is not a root of the given function.
What is 5 1/2 is its simple form?
How can you use ratios to convert metric units of measure?
Answer:
We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.
Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.
Step-by-step explanation:
In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.
Answer:
m∠B = [tex]97^{o}[/tex].
Step-by-step explanation:
Since the three sides of the triangle are given, then we apply cosine rule.
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
But, a = 660 cm, b = 680 cm, and c = 100 cm.
So that;
[tex]680^{2}[/tex] = [tex]660^{2}[/tex] + [tex]100^{2}[/tex] -2(660 x 100) Cos B
462400 = 435600 + 10000 - 132000 Cos B
462400 = 445600 - 132000 Cos B
132000 Cos B = 445600 - 462400
= -16800
Cos B = [tex]\frac{-16800}{132000}[/tex]
= -0.1273
B = [tex]Cos^{-1}[/tex] -0.1273
= [tex]97^{o}[/tex]
Thus, measure of ∠B is [tex]97^{o}[/tex].
Answer:
M∠B = 97 degrees
Step-by-step explanation:
A ratio of two numbers a/b, where b is no zero
[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]
You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?
Answer:
16
Step-by-step explanation:
50 - 16 = 34
34 / 2 = 17
34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.
Quick check:
34 + 16 = 50
Hope this helps!
do's and donts in handling measuring tools
Answer:
I need answer too
Pleaseee help us
. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information
Answer:
C. x = 4√70
Step-by-step explanation:
To find x, we would apply the leg rule.
Leg rule is:
Hypotenuse/leg = leg/part
Hypotenuse = 36 + 20 = 56
Leg = x
Part = 20
Plug in the values into the equation
Thus, we would have:
56/x = x/20
Cross multiply
x*x = 56*20
x² = 1,120
x = √1,120
x = √(16*70)
x = 4√70
The correct answer is c.
4. Which of these types of angles have the same measure
after being rotated, reflected, or translated in a coordinate
plane? Select all that apply.
a. Acute angles
b. Right angles
c.Obtuse angles
3 How many more cake
pops does the neighbor need to sell so that Callie can make a
profit of $5.00? Show
your
work.
Answer:
you didint explainded well
Step-by-step explanation:
Lily charges $60 for 5 tutoring sessions. What is the cost PER session?
$60 divided by 5 = $12
$12 per session.
Pls mark me brainliest!
Answer:$12 per session
Step-by-step explanation: divide 60 by 5 you get 12.
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6
Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500
Answer:
b. y = 20.077 sin(0.500x - 1.959) + 67.577Step-by-step explanation:
The easiest way to solve
1. Plot the points for one year2. Add the functions to same graph and compareThis gave us the option B as the best fit line
See the graph below
Step-by-step explanation:
the dude above me is right
what is the measurement of
Answer:
B = 24 degrees
Step-by-step explanation:
It should have 180 total
180 - 61 = 119
1. Write the standard form of the 6 in the numbel
. *
1 p
792,348,612
Answer:
600
Step-by-step explanation:
5&---------------------
solve the inequality. Graph the solution on a number line. 7<_2
Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's
polygon?
1. Point A (2.5)
2. Point B (8,5)
3. Point C (8,9)
4. Point D (5,7)
5. Point E (2.9)
V
E
C
9
8
D
7
6
ke
5
A
B
4
3
2
1
5
6
7
8
9.
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18
The graph of the function f is shown. f(0) =
Answer:
-5
Step-by-step explanation:
f(x) is a function.
f(0) means when x=0 what is the y value
We can look at the graph and when x=0 y is at -5
so the answer is -5
401(<) the contributions are tax deductible, and income generated by the account is
401(k), the contributions are taxable when deposited, but when the money is withdrawn at retirerment they are
In a traditional
In a Roth
Answer:
First Blank: Traditional
Second Blank: (the other choice, besides exempt)
Third Blank: Roth
Fourth Blank: Taxes exempt
Step-by-step explanation:
I got 5/5 on the test by reading through the other guys answer.
In a traditional 401(k), it is tax deferred because the income earned isn't taxed until the money is withdrawn.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
A 401 k is a qualified tax-advantaged saving retirement plan. Usually, The 401K plans are employer-sponsored. Employee contributions to the 401 k plans are deducted from the payroll before the taxes can be calculated.
This means that the employee contribution is not taxed at the time it's withheld by the employer.
The amounts saved are invested in market securities such as shares and companies bonds. The tax due from the money from the investment is deferred to the time of withdrawal.
The employee are needed to pay taxes on contributions and investments earning every financial year.
In a traditional 401(k), it is tax deferred because the income earned isn't taxed until the money is withdrawn.
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Martha jogged 7.8 miles. Erica jogged 0.5 times as far. How dar did erica jog
Answer: 3.9
Step-by-step explanation:
7.8 miles x 0.5 = 3.9 miles
Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a
Answer:
the statement would be false.
Step-by-step explanation:
Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.
f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
a car is 180 inches long. a truck is 75 percent longer than thr car. how long is the truck
Answer:
315
Step-by-step explanation:
180+((75/100)x180)=
180+(3/4 x 180)=
180+135=
315
Answer:
315 inches
Step-by-step explanation:
180 × .75 = 135
how many inches would represent 315 miles
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
You have a map of Southern California. If the distance between
Mrs. Clough's house and Badger Springs middle school on the map
is 3 inches, and the scale is 2 inches represents 12 miles, how far is
the actual distance from Mrs. Clough's house to school.
9514 1404 393
Answer:
18 miles
Step-by-step explanation:
The map distance and ground distance are proportional.
(distance to school)/(3 in) = (12 miles)/(2 in)
Multiplying by 3 in gives ...
distance to school = (12 miles)(3/2) = 18 miles
A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours
Answer:
4 hours and 45 minutes
Step-by-step explanation:
8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes
Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3
The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
The center of the circle is (0, 0) or the origin.
The radius of the circles is given.
As we know, the standard equation for the circle is:
(x - h)² + (y - k)² = r²
Here (h, k) is the center and r is the radius of the circle.
a) Centre origin, radius 3/2
Plug h = 0, k = 0, and r = 3/2
x² + y² = (3/2)²
x² + y² = 9/4
Similarly,
b) Centre origin, radius 0.5
x² + y² = 0.25
c) Centre origin, radius √3
x² + y² = 3
Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
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Someone answer right por favor
Answer:
64
Step-by-step explanation:
Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64
Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.
Answer:
f(3)=56, f(-4)=277
Step-by-step explanation:
f(x)=x^4-8x-11
f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56
f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277
Answer:
227
Step-by-step explanation:
how many solutions does the equation 7x-4=7x+15
Answer:
No solution
Step-by-step explanation:
7x-4=7x+15
-4 = 15 = not true
Answer:
0 because is you -7x from both sides you get -4=15 which doesn't work.
Step-by-step explanation:
Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.
50 points !!!!!
Answer:
-1 < v < 9Step-by-step explanation:
Given inequality
|4 - v| < 5a. The two inequalities:
1. 4 - v < 5
v > 4 - 5v > -12. 4 - v > -5
v < 4 - (-5)v < 9b. Solution is the combination of the above two:
-1 < v < 9c. The graph is attached