Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f(x)= 5x^4 -10x^3 +4x^2 -8x[/tex]
To determine the zeros, set f(x) = 0
[tex]0=\:5x^4\:-10x^3\:+4x^2\:-8x[/tex]
switch sides
[tex]5x^4-10x^3+4x^2-8x=0[/tex]
as
[tex]5x^4\:-10x^3\:+4x^2\:-8x=x\left(x-2\right)\left(5x^2+4\right)[/tex]
so the equation becomes
[tex]x\left(x-2\right)\left(5x^2+4\right)=0[/tex]
Using the zero factor principle:
[tex]\mathrm{\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:5x^2+4=0[/tex]
so solving
[tex]x=0[/tex][tex]x-2=0[/tex]
[tex]x=2[/tex]
Therefore, the real zeros are:
[tex]x=0[/tex] and [tex]x=2[/tex]
[tex]5x^2+4=0[/tex] has all the imaginary zeros.
solving
[tex]5x^2+4=0[/tex]
[tex]5x^2=-4[/tex]
[tex]x^2=-\frac{4}{5}[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-\frac{4}{5}},\:x=-\sqrt{-\frac{4}{5}}[/tex]
[tex]x=i\frac{2\sqrt{5}}{5},\:x=-i\frac{2\sqrt{5}}{5}[/tex] ∵ [tex]\sqrt{-1}=i[/tex]
Therefore, the total zeros are:
[tex]x=0,\:x=2,\:x=i\frac{2\sqrt{5}}{5},\:x=-i\frac{2\sqrt{5}}{5}[/tex]
Find the coordinates of the image of the point (0,2) when it is reflected across the line x=3
Answer:
(6,2)
Step-by-step explanation:
because math
A customer hands you $3,850 in cash and would like to purchase 14 prepaid
cards of $275 each. The customer hands you the cash with an expired ID, and is
expecting you to process the transaction.
You must decline the transaction for the following reasons (Select all that apply):
Answer:
Step 1: You must decline the transaction for the following reasons:
A customer may not purchase more than $2,000 in prepaid cards within a 24-hour period.
Customer ID must be a valid (not expired) government issued photo ID (US or Canadian issued driver's license, state ID, passport; US military ID, US Territory ID)
Customers may not purchase more than $250 at the assisted check out
you must decline this transaction for disiplinary action or termination
You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This includes Airfare, room and board, daily expenses, and travel). You save for 5 months and your monthly gross salary is $1,675.00. Given that Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, your monthly expenses are $975.23, and you pay State and Federal taxes in the amount of $35.00 and $75.51 respectively biweekly, how much will you have saved up and will you have saved enough to visit Disney World in December? Round all your answers to the nearest cent. a. $1,508.25; no c. $1,753.05; yes b. $1,523.43; no d. $1,788.06; yes
Answer:
c. $1,753.05; yes
Step-by-step explanation:
All calculations below are done on a monthly basis.
Gross salary in 1 month: $1675
Deduct 6.2% from gross salary:
0.062 * $1675 = $103.85
$1675 - $103.85 = $1571.15
Deduct 1.45% from gross salary:
0.0145 * 1675 = $24.29
$1571.15 - $24.29 = $1546.86
Deduct $975.23:
$1546.86 - $975.23 = $571.63
The expenses of $35 and $75.51 are biweekly. Since we are calculating per month, we multiply each of the expenses by 2.
Deduct 2($35) and 2($75.51):
$571.63 - $70 - $151.02 = $350.61
The amount saved per month is $350.61.
In 5 months, the amount saved is 5 * $350.61 = $1753.05
$1753.05 is greater than $1,600.
Answer: c. $1,753.05; yes
You got an A on 6 of your last 18 quizzes in Algebra 2. What is the experimental probability
that you will get an A on your next quiz? (Simplify the fraction).
The experimental probability would be the number of A’s you have out of the number of quizzes you took:
Experimental probability would be 6/18 which reduces to 1/3
The answer is 1/3
i need help plzzzzzz
Answer:
3.7a/10+3b
Step-by-step explanation:
Hope this helps and have a great day :)Suppose we are given the following.
Line 1 passes through (-1, 4) and (-3, -2).
Line 2 passes through (-1, -2) and (0, 1).
Line 3 passes through (-6, -3) and (3, -6).
(a) Find the slope of each line.
Slope of Line 1 =
Slope of Line 2 = 0
Slope of Line 3 =
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: Parallel Perpendicular Neither
Line 1 and Line 3: Parallel Perpendicular Neither
Line 2 and Line 3: Parallel Perpendicular Neither
Answer:
Slope of line 1 = 3
Slope of line 2 = -3
Slope of line 3 = -1/3
Line 1 and 2 = perpendicular
Line 1 and 3 = perpendicular
Line 2 and 3 = perpendicular
Step-by-step explanation:
trust me its correct
pls mark me as brainliest
Determine if this quadrilateral is a parallelogram. Justify your answer.
Answer:no
Step-by-step explanation:
the properties for a parallelograms are
opposite angles are equalopposite sides are equaldiagonals bisect each othersum of any two adjacent angles is 180we can conclude that the quadrilateral is not a parallelogram because it only has one pair of opposite sides that are equal. (the dashes through the sides show they are congruent to each other)
Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.
The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
What are a triangle's properties?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The properties of a triangle are:
Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
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PLEASE GRAPH THIS AND SHOW THE Y AND X INTERCEPT
Answer:
I found this : graph the inequality by finding the boundry line, then shading the appropriate area
8 > 10p^2h-8c/5 (draw a line under the >)
Step-by-step explanation:
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
0.6t I found it on brainly lol
Answer:
Step-by-step explanation:
C. O.6
What is the slope for 3y+6x=9
If Elena’s ice cream cost $3.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer:8 ounces more
Step-by-step explanation:Toppings cost 50 cents, 50 cents times 8 = $3.50
Answer: 8 ounces more
Step-by-step explanation: Toppings cost 50 cents, 50 cents times 8 = $3.50
Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. How much change should the cashier have given Melissa?
Step-by-step explanation:
Melissa have about 90$
9/2 ÷ 3/4
Please help me
Help please, i dont know this :)
Answer:
b, c, a
Step-by-step explanation:
Answer: B, C, A
Step-by-step explanation: you go from the biggest number to the smallest
Frank started the summer with $60 in his account. He
earned $35 working, spent $48 at the beach, spent $24
on movies, spent $50 on new clothes and received $15
for his birthday. What was the final balance of his account
at the end of the summer?
Answer:
The answer should be 12
Step-by-step explanation
he has 60 in his account already so add 35 and 15 (60+35+15=110) then add 48+24+50 which equals 122. Now subtract 110-122 and you'll get 12. so the answer is 12.
4x - 10 = 58
What is the value of x
Answer:
17
Step-by-step explanation:
4x - 10 = 58 add 10 to both sides
4x - 10 + 10 = 58 + 10
4x = 68 divide both sides by 4
x = 17
Answer:
x = 17
Step-by-step explanation:
Given
4x - 10 = 58 ( add 10 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17
The weight limit for a bookshelf is 25 pounds. Niyant has 60 books to put on the shelf. Each book weighs 0.45 kilograms. Can Niyant fit all 60 books on the shelf? How many books can she fit on the shelf? (1 kilogram is equivalent to about 2.2 pounds
PLEASE SOLVE
WILL GIVE BRANLIEST
Answer: 90
Step-by-step explanation:
perperimeter of rectangle l= 12 b=18 p= ?
Answer:
The perimeter of the rectangle is 60
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.
adults?
teenagers?
children?
Answer:
Step-by-step explanation:
line up your givens like this:
1, 575 visitors 100%
? adults 56%
? teeenagers 16%
? children. 28%
cross-mulyiply
adults*100 = 1,575*56
teens*100 = 1,575*16
children*100 = 1,575*28
divede each side by 100
adults= 1,575*56/100
teens = 1,575*16/100
children= 1,575*28/100
solve
adults= 882, teens = 252, children= 441
Answer:
adults= 882, teens = 252, children= 441 easy
Step-by-step explanation:
do you know how to bake a muffan
Answer:
yea by using a resipe
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
you need eggs, butter, flour, sugar, salt, oil (i prefer olive oil) and baking powder.
fruit if you like them in your sweets.
this makes 12 muffins
2 cups flour
3 tsps baking powder
1/2 tsp salt
3/4 cup sugar
1 egg
1 cup milk
1/4 cup oil
preheat oven. i usually do 350 F, increase the temperature if youd like them to cook faster but keep in mind youll need to check on them often with increased heat.
stir together your dry ingridents and in a seperate bowl beat your egg with a fork. stir in the milk and oil with the egg.
pour into your dry ingriedeints until everything is well mixed.
bake until golden
if you like fruit id suggest blueberries, 1 cup
nevermind.aiurhmf auhrnqwfh
Answer:
fhjfhiewujrfl
Step-by-step explanation:
qewioruoqk;lwq;lrk
Write 108 as a product of its prime factors
Answer:
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108.
Step-by-step explanation:
These are the factors of 108 because: 1 x 108 = 108. 2 x 54 = 108.
5 . 9 × ____ = 73.16 which is the missing factor?
A.
0.124
B.
1.24
C.
12.4
D.
124
Answer:
C) 12.4
Step-by-step explanation:
First you divide 73.16 by 5.9 which equals your answer 12.4
Hope this helps.
The missing factor in the expression will be;
⇒ 8.13
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 9 x ? = 73.16
Now,
Let the missing factor in the expression = x
So, We get;
⇒ 9 × x = 73.16
Solve for x,
⇒ 9 × x = 73.16
Divide by 9 both side, we get;
⇒ x = 73.16 / 9
⇒ x = 8.128
After rounding we get;
⇒ x = 8.13
Therefore,
The missing factor in the expression will be;
⇒ 8.13
Learn more about the multiplication visit:
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i need help with this
Answer:
[tex]178.54[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\frac{7.7}{0.093-0.797} +\frac{7.2}{0.038}[/tex]
Step 2: Evaluate
Subtract: [tex]\frac{7.7}{-0.704} +\frac{7.2}{0.038}[/tex]Divide: [tex]-10.9375 +189.474[/tex]Add: [tex]178.536[/tex]Round: [tex]178.54[/tex](26 + 3) x (8 ^4) pls help
Answer:
58
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
118784
▹ Step-by-Step Explanation
(26 + 3) * (8⁴)
We are going to follow PEMDAS: Parentheses, Exponents, Division, Addition, Subtraction
First, we will start with parentheses that includes exponents:
(8⁴) = 4,096 (8 * 8 * 8 * 8)
Then, we will work on the other parentheses which involves addition:
(26 + 3) = 29
Therefore,
29 * 4,096 = 118784
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
pls help asap
find the inequality represented by the graph
Answer:
the inequality is y>1/3x -3
Step-by-step explanation:
im built different
How to write this in slope-intercept form? 8x + 10y = 40
Answer:y=-4/5x+4
Step-by-step explanation:
Answer:
y = -4/5 + 4
Step-by-step explanation:
What is 12x10y24z15???????????
Answer:
I don't understand the question
Step-by-step explanation:
There are 3 girls to every 5 boys. If there are 36 girls, how many boys are there?