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:
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
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
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
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
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.
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!
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
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:
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
6 inches for every horizontal change of 12 inches
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.
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:
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.
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.
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
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 givenWhat’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.
Determine 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.
when you apply combine like terms to the right side of the equation what do you end up with?
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
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
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
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.
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.
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
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:
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]
what is the solution to -5x > 15
-5x > 15
Divide both sides by -5
x < -15/5
Simplify
x < -3