The required simplified value of k is 8 for given conditions.
Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
f( x ) = x³ + kx + 9 / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8
Thus, the required simplified value of k is 8.
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-41 + 22 negative or positive
Answer:
-19
Step-by-step explanation:
Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), and E(2, 4). Then sketch ∆ABC and ∆ADE. By what postulate or theorem could you show that ∆ABC and ∆ADE are similar? A. AA Similarity Postulate B. SAS Similarity Theorem C. SSS Similarity Theorem D. Any of the above could be used to show that the triangles are similar.
Answer:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The correct option is;
A. AA Similarity Postulate
Step-by-step explanation:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The given parameters are;
The coordinates of the points are A(0, 0), B(1, 0), C(1, 2), D(2, 0) and E(2, 4)
Therefore, we have;
The length of segment AB = 1
The length of segment BC = 2
The length of segment AD = 2
The length of segment DE = 4
Therefore, we have;
∠ABC = ∠ADE = 90°
∠BAC = = artctan(2/1) = ∠DAE = artctan(4/2) = 63.435°
Therefore, ΔABC and ΔADE are similar by AA Similarity Postulate
Find the slope-intercept equation of the line.
I need the equation not the answer
Help plz
Answer:
y=4/5x+4
Step-by-step explanation:
i only need A. please help asap
Answer:
B
Step-by-step explanation:
The answer is B because it has the slope and its on the rise and run.
Hope this help:)
PLss maark brainlist
Answer:
the answer is b
Step-by-step explanation:
the answer is b
Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?
Answer:
A≈50298
Step-by-step explanation:
Can someone please help this is due soon and I don’t know how to do it I’ll give brainlest
Answer:
the explanation contains numbered sticky notes please follow them in order and i do encourage you to follow along somewhere.
merry christmas :)
x = 67,
y = 124
Spencer bought gas for his four-wheeler from Gas World on Saturday. On Sunday, he bought the same amount of gas from Fuel Stop for less money. Now, Spencer has $20 to spend on gas for his car. Fuel Stop is on his way home. If the gas prices haven't changed, will Spencer be able to get more or less gas at Fuel Stop than at Gas World?
Answer:
Step-by-step explanation:
spencer bought the same amount of gas from gas world and fuel stop. since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world.
spencer has $20 to spend on gas for his car at fuel stop.
since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
hope this helped
If the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Spencer bought gas for his four-wheeler from Gas World on Saturday
He bought the same amount of gas from Fuel Stop for less money on Sunday
Now, Spencer has $20 to spend on gas for his car.
since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world. spencer has $20 to spend on gas for his car at fuel stop. since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
Hence if the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
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CAN SOMEONE PLEASE HELP ME!!
Consider the polynomial function h(x) = -7x6 + 3x4 – 5x2.
What is the end behavior of the graph of h ?
Answer: As x -> ♾, h(x) -> -♾, and as x -> -♾,h(x) -> -♾
Step-by-step explanation:
The end behavior is x ----> ∞ then h(x) ----> -∞, and when x ----> -∞ then h(x) -----> -∞.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -7[tex]x^6[/tex] + 3 [tex]x^4[/tex]– 5x².
If we plot the Equation on the Graph we can see a parabolic Curve.
This Curve tells as x tends to ∞ the value of h(x) tends to -∞.
and, when x tends to -∞ the value of h(x) tends to -∞.
Hence, the end behavior is x ----> ∞ then h(x) ----> -∞.
and, when x ----> -∞ then h(x) -----> -∞.
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Can someone do this please
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams.
What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?
Answer:
118%
Step-by-step explanation:
550 grams and 300+350 grams = 650 grams
650/550 grams x 100 = 118.18
So 118.18 % rounded is 118%
Hope this helps plz hit the crown :D
Answer:
The kitten has gained a 218% more weight since the first visit to the vet.
Step-by-step explanation:
In order to get the percentage the kitten has gained you have to add all the weight together and divide the first visit by the total weight.
TO find the total weight is found by adding all the weights together:
550 + 350 + 300 = 1200
now we divide 1200 by 550 to get a decimal which allows us to find the percentage:
1200 / 550 = 2.18181818182
now we multiply 0.45833333333 by 100 to turn the decimal to a percentage:
2.18181818182 * 100 = 218.181818182%
Now we round up to the nearest percentage which is:
218.181818182% = 218%
helppp me plssss because it’s a test
Answer:
3
Step-by-step explanation:
Plz help I am getting timed
Answer:
$ 227.75
Step-by-step explanation:
Answer:
227.5
Step-by-step explanation:
5 x 45.55=227.5
An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8
solve for X !
answer quickly please
The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased by 20% to £420. What was the price before the decrease?
Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
peeps go look up egde rewies
*shocking*
-runs in high heels-
-trips-
oh my! dear child..
Anyways.....Im failing math :D
Answer:
SELENA IS THE BEST SINGER IN THE WORLD OTHER THAN NICKI MINAJA
Step-by-step explanation:
Answer:same ;p
Step-by-step explanation:
Of the 150 students that attended the science camp, 82 were sixth graders. Marco says that less than half of the campers were sixth graders. Is he correct? Tell why or why not. Use a benchmark percent to support your answer.
Answer:
Incorrect
Step-by-step explanation:
150 students are 100%,
82 students are x%
(82*100)/150=54,67%, so that is more than half of all students
Answer:
Marco is NOT correct
Step-by-step explanation:
150 / 2 = 75
so more than half of the students were 6th graders
55% of students were 6th graders, that's my benchmark but I'm not really sure.
Which of these is not a unit for measuring weight?
A
ton
B.
gallon
С
ounce
D
pound
There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles
Answer:
4:5
Step-by-step explanation:
Besty has $27 saved. This month she saved an additional $9. She wants to buy packs of colored string to make bracelets. Each pack costs $6. Besty says she now has enough money to buy 6 packs. Carl says she has enough money to buy only 3 pack. I Besty or Carl correct? Explain your answer
Answer:
Yes, Besty is correct.
Step-by-step explanation:
$27 + $9 = 36. 36 divided by 6 is 6. Besty would only be able to buy 3 packs if each pack costed $12 (36 divided by 12 is 3).
f(x) = x + 6
x=-2, 0, and 5
Answer:
f(x)=x+6
-2+6
4
when x=0
0+6
6
when x=5
5+6
11
Step-by-step explanation:
Please help :( I don’t get these what so ever!!!
Answer:
10.95 for a, b is definitely from a different problem
Step-by-step explanation:
3*3.65=10.95
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?
Answer:
42+39 or 81 feet
Step-by-step explanation:
add them up and you get 81 feet.
Hope this helps plz hit the crown :D
Felicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?
Answer:
[tex]Tatiana = \$8.35[/tex]
Step-by-step explanation:
Given
[tex]Total = \$31.50[/tex]
[tex]Felicia = \$4.25[/tex]
[tex]Ingrid = 2 * Felicia[/tex]
[tex]Meiko = \$1.90 + Ingrid[/tex]
Required
Determine amount spent by Ingrid
We have that:
[tex]Ingrid = 2 * Felicia[/tex]
Substitute $4.25 for Felicia
[tex]Ingrid = 2 * \$4.25[/tex]
[tex]Ingrid = \$8.5[/tex]
We also have that:
[tex]Meiko = \$1.90 + Ingrid[/tex]
Substitute $8.5 for Ingrid
[tex]Meiko = \$1.90 + \$8.50[/tex]
[tex]Meiko = \$10.40[/tex]
The total can be represented as thus:
[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]
[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]
[tex]\$23.15+ Tatiana = \$31.50[/tex]
Collect Like Terms
[tex]Tatiana = \$31.50 - \$23.15[/tex]
[tex]Tatiana = \$8.35[/tex]
Which system of inequalities describes the graph?
Answer:
It Would be C (the third one)
Step-by-step explanation:
Please mark me Brainlyest PLZ
Simplify: 12 + 4n + 5 - 2n - 10
Answer:
2n+7
Step-by-step explanation:
find slope and y-intercept formed the graph if the linear equation
y=1/4x-8
Answer:
not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.
Step-by-step explanation:
the slope is 1/4 while the y-intercept is -8 or (0,-8)
Answer: slope: 1/4
y-intercept: (0,-8)
Hope this helps and good luck :)
Step-by-step explanation:
Foot Locker is selling a pair of Nike for $60 that has been discounted by 25%. What was the original selling price?