Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Suppose x, y, and z are all rational numbers. Is LaTeX: \frac{z}{\sqrt{x^2-y^2}}z x 2 − y 2 a rational number? Explain your answer.
Answer:
The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.
Step-by-step explanation:
What is the greatest common factor (GCF) of 51 and 85? A. 17 B. 3 C. 5 D. 23
Answer:
!7 hope this helps:)
Step-by-step explanation:
Damien deposited $250 in an account that earned 3.75% interest compounded annually.He did not make additional withdraws or deposits .what will the balance in his account be at the end of 4 years?
Step-by-step explanation:
[tex] \frac{3.75}{100} \times 250 =9.375[/tex]
[tex]9.375 \times 4 = 37.50[/tex]
[tex]250 + 37.50 = 287.50[/tex]
I think this is the answer
m=−8j−9k+9
k=m+8j−9−9
k=m−8j−9
k=m−8j+9−9
k=m+8j−9
Answer:
B
Step-by-step explanation:
Dude trust me
2/5 x 1 2/3
i know its easy
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
On your 16th birthday, you open a savings account with $1000. The account pays 4% compound interest. How much will be in the account on your 50th birthday (the beginning of the 35th year in the account)? i don't really understand compound interest that well
Answer:
Approximately $4946
Step-by-step explanation:
The compound interest can be determined by:
Compound interest = P [tex](1 + r)^{T}[/tex]
Where: P is the principal, r is the rate and T is the number of years.
Given that: P = $1000, r = 4% and T = 34 years, then;
Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]
= 1000 [tex](1 + 0.04)^{34}[/tex]
= 1000 [tex](1.04)^{34}[/tex]
= 1000 x 3.79431
= 3794.31
Compound interest ≅ $3794
The amount that would be in the account = Principal + interest
= $1000 + $3794
≅ $4794
Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?
Answer:
11.29 left
Step-by-step explanation:
30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29
Answer:
He would have $11. 29 left
Step-by-step explanation:
30-5 =25
25. 00-6.50 = 18.50
18. 50-7.21 = 11.29
A rectangle has an area of 2,340 sq ft and a width of 45 ft. What is its length ? What is the perimeter
Answer:
length is 52 ft
perimeter is 194
Step-by-step explanation:
2340/45 = 52
2(52+45) = 194
when you apply combine like terms to the right side of the equation what do you end up with?
A system of equations is shown below:
2x = 5y + 4
3x − 2y = −16
What is the solution to this system of equations? (5 points)
Answer:
x = -8, y = -4
Step-by-step explanation:
First we want to write the equations so the variables line up
[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]
Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.
I will choose to cancel out the x's
[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]
add the equations and solve
[tex]11y = -44\\y = -4[/tex]
once you have one variable, you can use it to solve the other
[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]
verify
[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]
it works
After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?
Answer: $88.
Step-by-step explanation:
given data:
The cost of the dress for the prom = $22
label of the rack the dresss was on = 50%.
lowest marked price for the dress = 75%.
Solution:
if the lowest marked price of the cloth was already 75%.
and the current cost of the clothe is $22
the original cost of the cloth would be
100% – 75% = 0.25%
= $22 * 100 / 0.25%
= $88.
The original cost of the dress was $88
Answer:
$88
Step-by-step explanation:
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
7 to the 3rd power as a multiplication of factors is
Answer:
7*7*7
Step-by-step explanation:
7^3=7*7*7
hope this helps
Answer:
7×7×7= 343
Step-by-step explanation:
the answer is 343.
Solve for X
?????????????,??????,?,,,,,,,??????
Answer:
X= 10°
Step-by-step explanation:
Those two angles equal the same, knowing this we make them equal each other to solve them in an equation.
6x+34=8x+14
Then you solve, add the x's together, and the numbers together.
34-14=8x-6x
20=2x
Then you divide to find X
20/2= 10°
X= 10°
Step-by-step explanation:
6x+34=8x+14
34-14=8x-6x
2x=20
x=20/2
x=10
EMERGENCY! Please give me the correct answer!
Answer: 10^4 · 4^5
Since 4^10 and 4^5 have the same base, and it's division, you can subtract the exponents.
(10^4 · 4^10)/4^5 = 10^4 · 4^(10-5) = 10^4 · 4^5
The question is: You and your second favorite pet moose each start a new job. After w weeks, you have (10w +120) dollars in your bank account and your pet moose has (45w + 25) dollars in their account. How much money do you have after 5 weeks? How much money does your pet moose have after the same 5 weeks?
Money after w weeks in my account :
[tex]M_m=10w+20[/tex]
Money after w weeks in pet moose account :
[tex]M_p=45w+25[/tex]
Now,
Money I have after 5 weeks, [tex]M_m=10w+20=(10\times 5)+20=\$70[/tex]
Money pet have after 5 weeks, [tex]M_p=(45\times 5)+25=\$250[/tex]
Hence, this is the required solution.
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7flip of mirrored along y-axisreflected imaged is ABCD as givenDetermine whether The relation is a function. Explain.
(-2,-8), (-1,-4), (1, 4), (2, 8), (3, 12)
Answer:
This is a function
Step-by-step explanation:
This is a function because x is not repeated in any of the pairs. As long as x doesn't repeat, it is a function. y can repeat, but not x.
3.46x + 6.38 = -4 the answer
Answer:
x = -3
Step-by-step explanation:
start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.
6 inches for every horizontal change of 12 inches
Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.
Can you post one with a picture of the input/output tables? I don't see any.
Lori has a dog named Rusty. Tim's dog, Midnight, eats 28 cups of food in a week. Midnight eats the same amount each day. In one day, how many more cups of food will Midnight eat than Rusty? Complete the explanation. Rusty's Care Food 3 cups a day Water 4 cups a day Bath 2 times a month Midnight will eat more cup(s) of food than Rusty each day. Rusty will eat 3 × 7 = cups of food in one week. 28 − 21 = There are 7 days in a week, so Midnight will eat more cup(s) of food each day.
Answer:
Midnight will eat 1 more cup of dog food per day than Rusty.
Step-by-step explanation:
Rusty:
eats 3 cups of dog food per daydrinks 4 cups of water per daytakes a bath twice a monthMidnight eats 28 cups / 7 days = 4 cups of dog food per day.
Midnight will eat 4 - 3 = 1 more cup of dog food per day than Rusty.
Combine like terms to create an equivalent expression. -\dfrac{1}{2}\left(-3y+10\right)−
2
1
(−3y+10)
Answer:
3/2y-5
Step-by-step explanation:
The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ – 1/2 (–3y + 10)
Simplify the equation, we have
⇒ (3/2)y – 5
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
Equivalent ratio word problems (basic)
Ingredient
Amount
Graham crackers
2
Chocolate squares
8
Marshmallows
3
How many s'mores can Kora make if she has 20 graham crackers?
Repo
Stuck? Watch a video or use a hint.
What’s is the answer to this problem
Answer:
B.2≤x≤5
Step-by-step explanation:
Answer:
Option B is the correct answer
Step-by-step explanation:
[tex] 2 \leqslant x \leqslant 5[/tex] is the domain of the given problem.
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
The original car price is p The total price is $22,480
Answer:
22,480
Step-by-step explanation:
dollar money economy and I was boutta say things the same thing as the among us?
Approximate the value of each irrational expression. Use 22/7 as a rational approximation for pi.
2pi
5pi + 1
Pi to the second power
Answer:
pi=22/7
2pi=44/7
5pi+1=110/7+1=117/7
pi to the second power=22/7 times 22/7=484/49
Hope this helps, but I don't know.
Answer:
hi
Step-by-step explanation:
what is the solution to -5x > 15
-5x > 15
Divide both sides by -5
x < -15/5
Simplify
x < -3