Answer:
(x3 - 2x2 - 4) • (x + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((x4) - 22x2) - 4x) - 8
STEP
2
:
Checking for a perfect cube
2.1 x4-4x2-4x-8 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x4-4x2-4x-8
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x4-8
Group 2: -4x2-4x
Pull out from each group separately :
Group 1: (x4-8) • (1)
Group 2: (x+1) • (-4x)
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x4-4x2-4x-8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
pls help me with this
Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)
c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)
Step-by-step explanation:
Answer:
(a)≈72.8 kilometer per hour
(b)91.125 cm^3
(c)272.25$
Step-by-step explanation:
(a)speed=mile/hour
=371mile/8.2hours
=371×1.609kilometers/8.2hours
≈72.8 kilometer per hour
(b)the vol: of cube= a^3 (a=side)
=(4.5)^3
=91.125cm^3
(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)
=272.25$
Write the polar equation 0= pi/3
Answer:
1
(
π
3
)
)
Step-by-step explanation:
Explanation:
Substitute
tan
(
y
x
)
for
θ
tan
(
y
x
)
=
π
3
Obtain
y
x
on the left by using the inverse tangent on both sides:
tan
−
1
(
tan
(
y
x
)
)
=
tan
−
1
(
π
3
)
y
x
=
tan
−
1
(
π
3
)
Multiply both sides by x:
y
=
(
tan
−
1
(
π
3
)
)
x
The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,
Answer:
The correct answer is "the term number, n."
Step-by-step explanation:
Answer:
Step-by-step explanation:
on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%
Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?
$1.95
$5.85
$6.80
$7.80
Answer: $5.85
Step-by-step explanation:
Answer:
5.85
Step-by-step explanation:
since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85
Henry is solving the problems 475 x 3. His first step is shown below (400 x ___) + ( 70 x ___ ) + ( 5 x ___ ) What number should Henry write in each of the blanks
Answer:
(400 × 3 ) + (70 × 3) + (5 × 3)
help would be appreciated
Answer:
59
Step-by-step explanation:
VUW is an isoceles triangle, therefore VUW = VWU
tirangles total to 180 so 180 - 62 =118=2VUW
118 ÷2 = 59
A rectangular prism has a length of 14in, a height of 9in, and a width of 5in. What is its volume, in cubic in?
Answer:
630 inches³
Step-by-step explanation:
According to the question ,
length:- 14 inchwidth :- 5 inchheight :- 9 inchwe have to find the volume of rectangular prism
Volume of rectangular prism :- l × b × h
Putting the value ,
14 × 5 × 9 cubic inches
= 630 cubic inches
[tex]\rightarrow[/tex] Length(l) of prism = 14in.
[tex]\rightarrow[/tex] Width(w) of prism = 5in.
[tex]\rightarrow[/tex] Height(h) of prism = 9in.
To Find:-[tex]\rightarrow[/tex] Volume of prism.
Formula Used:-[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]
Solution:-[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]
Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]
________________________________
Hope it helps you:)
A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?
Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal, after each n years.In this problem:
The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.Then, the equation is:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
The value would be of $3,800 at t for which A(t) = 3800, hence:
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]
[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]
[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]
[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]
[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]
t = 19.68.
It would take 19.68 years for the value of the car to be $3,800.
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
t≈19.7
Step-by-step explanation:
I do not have one, I apologize.
The equation y=37.8xy=37.8x represents the number of miles, yy, that Julian can drive his car for every xx gallons of gas. Find the rate of change.
The rate of change of Julian given the equation y = 37.8x is 37.8
How to find the rate of changeThe equation:
y = 37.8x
where,
y = number of miles that Julian can drivex = gallons of gas used37.8 = constant = rate of changeIf x = 3 gallons
y = 37.8x
= 37.8 × 3
y = 113.4 miles
Learn more about rate of change:
https://brainly.com/question/8728504
Question 1
Match each graph to the correct description of the number of solutions the system of equations has.
one solution
an infinite number of solutions
no solution
solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?
GIVING BRAINLIEST AND 30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS. YOU CAN DO IT! :D
Answer:
2 3 4 5 6 7 8 9 10
Step-by-step explanation:
even odd even odd even odd even odd even odd
Find the height of the building to the nearest foot in the diagram below. Show work.
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacenthere,
The adjacent side is 80 ftx°=62°The opposite side is the heightTo find:
The opposite side or the heightsince we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2
I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:
x > 2
Step-by-step explanation:
Given
58 - 10x< 20 + 9x
Add 10x to both sides of the equatoin
58 < 20 + 19x
Subtract 20 from both sides of the equatoin
38 < 19x
2 < x
x > 2
solve for x and round please
Answer:
9.6
Step-by-step explanation:
6.4/x = sin42
x = 6.4/sin42
x = 9.56
Use quadratic method :
6y^2 - 4y - 3=
Answer:
see explanation
Step-by-step explanation:
look at the photo
Work out m and c for the line:
y=6 - 2
Answer:
Step-by-step explanation:
y=Mx+c
M=6 c=-2
what is -12 divided by 3
Answer:
-4
Step-by-step explanation:
if you divide a negative number by a positive number, you will get a negative number
Answer:
-4
Step-by-step explanation:
-(4×3)/3
by crossing both 3 out
-(4) remains
Tony is flying from Los Angeles to Boston. His plane ticket costs $605 and the total flight distance is 3,052 miles. What is the cost per mile?
Answer:
AROUND $0.20 per mile
Step-by-step explanation:
605/3052 is around 0.198, which rounds to 0.20.
What are the measures of center for a data set?
Mean, Median, and Mode
Mean - Add all the numbers then divide by the number of numbers you added.
Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)
Mode - The number that appears the most in a set of numbers.
They are called measures of center because they are statistics that describe the center of a set of data.
Can somebody please help me? I have dyscaluca and don't understand this
Answer:
man
Step-by-step explanation:
im sorry...you'll get it soon i swear
Find the area. What type of triangle is triangle ABC?
Answer:
Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.
Step-by-step explanation:
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answer:
2 eggs
Step-by-step explanation:
Use a proportion.
48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.
48/8 = 12/x
Reduce the left fraction.
6 = 12/x
Multiply both sides by x.
6x = 12
Divide both sides by 6.
x = 2
Answer: 2 eggs
So what are the chances of getting a 100% effort out of someone who never tries than someone who does??
Answer:
someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort
Step-by-step explanation:
i hope this helps!!
45 minutes before 10:35
Answer:
9:50
Step-by-step explanation:
Answer:
9:50
Step-by-step explanation:
Heres de answer
how much money is 1 quarter,1 dime and 1 nickle?
answer:40
Step-by-step explanation:
a quarter is 25
a dime is 10
a nickle is 5
25+10+5=40
18. Find the surface area of the prism.
Step-by-step explanation:
the total surface area is the sum of the individual areas on the surface.
we have
2 triangles (top and bottom)
1 front rectangle
2 rectangles in the back
the area of a triangle is
baseline × height / 2
1.7 × 0.5 / 2 = 0.425 in²
both triangles together : 2×0.425 = 0.85 in²
the area of a rectangle is
length × width
so, the front is
1.7 × 1.5 = 2.55 in²
one back rectangle is
1 × 1.5 = 1.5 in²
both back areas are 2×1.5 = 3 in²
so, the total surface area is
0.85 + 2.55 + 3 = 6.4 in²
100 BRAINLY POINTS!!!!!!
A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?
A. the flat fee for calls and texts
B. the cost for each gigabyte of data used
C. the total amount of a monthly bill with 1 gigabyte of data used
D. the total amount of a monthly bill with 2 gigabytes of data used
PLS HELP CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
JUST HELP ME PLSSS
Now
Equation in slope intercept form
y=mx+bIf each GB be x
y=5x+60Here
yintercept=b=60Option A is correct
1. Find the slope of a line
that passes through (3,-2)
and (7,5)
Answer:
m= [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}[/tex]
First, define what equation needs to be used. We need to use the slope formula to find the answer.
Next, we substitute the x and y values into their respective places.
Last, simplify the equation!