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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A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
charges of each ton of sand and stone are 10 and 15 dollars
respectively. Its owner wants to earn at least 250 dollars. Write
a system of inequalities to express this situation. What is the
least possible number of tons of stone the owner needs to
carry to meet his own goal?
tons
Enter the answer
Check it
Answer:
Y=10
Step-by-step explanation:
No
The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter
write an equation for the both term of the arithmetic sequence 30,26,22,18
Answer:
I guess it decreases by 4 everytime so -4??? If thats what your asking
Step-by-step explanation:
30,26,22,18,14,10,8,4,-2.
Please help me I really don't know
The function 1.5x + 0.5y = 12 represents the number of hardcover books x and softcover books y you can buy at a used book sale.
a. solve the equation
b. make an input-output table to find ordered pairs for the function.
c. plot the ordered pairs in a coordinate plane.
Answer:
Step-by-step explanation:
Let's solve for x.
1.5x+0.5y=12
Step 1: Add -0.5y to both sides.
1.5x+0.5y+−0.5y=12+−0.5y
1.5x=−0.5y+12
Step 2: Divide both sides by 1.5.
1.5x
1.5
=
−0.5y+12
1.5
x=−0.333333y+8
Answer:
x=−0.333333y+8
Someone please help me with this geometry question
Answer:
Step-by-step explanation:
-7x + 12 + (-8x + 48) = 180
-15x + 60 = 180
-15x = 120
x = -8
m<BDC= -7(-8)+ 12 = 56 + 12 = 68
m<CBA = -8(-8)+48 = 64+48 = 112
Answer:
x=-8
mbdc=68
Step-by-step explanation:
bda is a straight angle
=> bdc+cda=180°
=> (-7x+12)°+(-8x+48)°=180°
=> -15x+60=180°
=> -15x=120°
=> x=-8
bdc= (-7)×(-8)+12=68°
help!!!!!! asap please!
Answer:
ITS ONE
Step-by-step explanation:
WHEN YOU MULTIPLY 1X1 YOU GET ONE
2. A maintenance crew is paving a road in 7-hour shifts. After
10 shifts, 1.25 miles of road have been paved. After 45 shifts,
5.625 miles of road have been paved. At what rate is the
maintenance crew paving the road in miles per shift?
What is the independent quantity?
What is the dependent quantity?
How many miles are paved per shift worked?
miles/shift
Answer:
The answer is the first one
Step-by-step explanation:
please show work
a car travels 100 miles in 2 hours (with a constant speed). how much time will it take traveling 275 miles
Answer:
5.5 hours (If rounded, then 6)
Step-by-step explanation:
If you divide 100 by 2, it would be 50. So then you would have to divide 275 by 50, which will get you your time. Which is 5.5 hours.
Select the two correct factors of the polynomial:
Answer:
(x + 6)
(x - 7)
Step-by-step explanation:
To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B
B = -1
C = -42
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
6 and -7 multiply to -42 and add to -1
Write in factored form:
(x + 6)(x - 7)
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Given
x² - x - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6 , since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
x² - x - 42 = (x - 7)(x + 6)
(2x + 7y) (4x – 8y)
Answer:
= 8x^2 + 12xy − 56y^2
Step by step:
(2x+7y)(4x−8y)
=(2x+7y)(4x+−8y)
=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)
=8x^2−16xy+28xy−56y^2
=8x^2+12xy−56y^2
Help me solve these two find the value of x please help
Hi there!
[tex]\large\boxed{\text{x = 12, x = 5}}[/tex]
Problem 1:
The angles pictured are vertical angles, so each will be equivalent. Therefore:
(5x + 5)° = 65°
Subtract 5 from both sides:
5x = 60
Divide both sides by 5:
x = 12°.
Problem 2:
The two angles are supplementary, so they add up to 180°. Therefore:
180° = (9x)° + (12x + 75)°
180 = 9x + 12x + 75
Combine like terms:
180 = 21x + 75
Subtract 75 from both sides:
105 = 21x
Divide both sides by 21:
x = 5°.
Braniliest
What is the value of of x when 3x = 54?
A) x = 18
B) x = 51
C) x = 57
D) x = 162
A) x = 18
3x = 54
=> x = 54/3
=> x = 18
Answer:
A) x= 18
Step-by-step explanation:
I took the test on USA TEST PREP. Also cause ima smarty pants.
Problem Francine uses 2 3 3 2 start fraction, 2, divided by, 3, end fraction cup of pineapple juice for every 1 3 3 1 start fraction, 1, divided by, 3, end fraction cup of orange juice to make a smoothie.
Answer:
Pineapple juice = 2 cups
Step-by-step explanation:
Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice does Francine use for 1 cup of orange juice
Pineapple juice : Orange juice
2/3 cup : 1/3 cup
how many cups of pineapple juice does Francine use for 1 cup of orange juice
Let x = cups of pineapple juice
Pineapple juice : Orange juice
x cup : 1 cup
Equate the ratios
2/3 cup : 1/3 cup = x cup : 1 cup
2/3 ÷ 1/3 = x / 1
2/3 × 3/1 = x / 1
6/3 = x / 1
Cross product
6 * 1 = 3 * x
6 = 3x
x = 6/3
x = 2
Pineapple juice = 2 cups
(3x3 + 2x² + 10) + (3x3 + 2x2 + 10x)
Answer:
(3x 3 +2x 2 +5x+5)
Step-by-step explanation:
(3x3 + 2x^2 +10) +(3x3 +2x2 +10x)
(9 + 2x^2 +10) +(9+4+10x)
(19+2x^2) +(13 +10x)
now opening the brackets
19 +13 +2x^2 +10x
2x^2 + 10x +32
taking 2x common
2x(x+5) +32
can anyone help answer all these questions
Answer:
A -2,-3, B 0,-3 C -1,1
Step-by-step explanation:
express as a simple logarithm and simplify. PLEASE HELP!!!! asap!!! will give brainliest!!! thank you!!!
Answer:
A. [tex]log_{2} \frac{y}{x^5}[/tex]
Step-by-step explanation:
When expressing and simplifying this, we can see that the answer choice is A. [tex]log_{2} \frac{y}{x^5}[/tex]Answer:
( C ) log2 x5y
help! find domains! algebra!
find domains of
2(x-2) +4
2*-(x-2) + 4
i will give brainliest to a correct answer with explaination!
Answer:
The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4
Step-by-step explanation:
Given line p is parallel to line q, measure of angle 3 = 5x - 3 and measure of angle 8 = 4x - 6, find x.
Answer:
None
Step-by-step explanation:
There is not enough information to be given a correct answer
Find the value of x if PQRS is a rhombus
Answer:
x = 11
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
8x + 2 = 90 ( subtract 2 from each side )
8x = 88 ( divide both sides by 8 )
x = 11
A circle has a circumferende of 13.04
units
What solution are you trying to find here with the circumference? Radius, diameter? I need more details so I can help you out. Thanks!
does the oval graph represent a function why or why not?
Answer:
No
Step-by-step explanation:
Because using the vertical line test, the function is passed through twice.
hey i hope ur having a good day can you answer these?
thank you
question one
180 - 6 = 174 ( c )
because angles on a straight line are 180 !
question two
AB = 6 units
AC = 8 units
( i just counted the boxes )
BC = square root ( 36 + 64 ) = 10
( pythagorus’ theorum )
6 + 8 + 10 = 24 units ( b )
im late but :(
Answer:
1. C
2. B
Step-by-step explanation:
hope this helped <33
bye hope ur day is good :)
Julie collects antiques. She bought one antique for $300. Its current value is represented by the expression 300(0.75)',
where t is the number of years Julie has owned the antique. Is Julie's antique going up or down in value?
Julie's antique is going
in value.
Answer:
they are gonna go down in value
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
If the value in the perenthesis is a decimal it is an exponential decay.
At a firefighters' pancake breakfast, the firefighters served 345 people and raised $1395. As adult's ticket to the pancake breakfast was $5 and the cost of a child's ticket was $3. What was the number of child and adult tickets sold?
Answer:
Number of adult tickets = 180
Number of child tickets = 165
Step-by-step explanation:
Given:
Total number of ticket = 345
Total amount = $1,395
Cost of adult ticket = $5
Cost of child ticket = $3
Find:
Number of child and adult tickets
Computation:
Assume;
Number of child tickets = a
Number of adult tickets = b
So,
a + b = 345...........eq 1
3a + 5b = 1,395...........eq2
3 x in eq 1
3a + 3b = 1,035.........eq3
eq2 - eq3
2b = 360
b = 180
Number of adult tickets = 180
a + b = 345
a = 165
Number of child tickets = 165
Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.
Answer: Balls 4 and 9 are furthest apart
Step-by-step explanation:
The 9 and 4 ball are farthest from each other.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.
So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,
So, we will find the angles first,
Since the angles of a triangle add up to 180 degrees,
(x-5)+(2x+1)+(3x-8)=180,
6x-12=180.
x = 32.
That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.
Based on the angles, the farthest distance would be between balls 9 and 4.
Hence, the 9 and 4 ball are farthest from each other.
Learn more about expression, click;
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solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
PLEASE HELP WITH THE 2
Answer:
ok good luck jsjsksksksksks
Answer:
y=32
Step-by-step explanation:
45+z+y=180
z=103 by the exterior angle theorem
45+103+y=180
148+y=180
y=32
Which of the following is not a function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 2, 3. Column 2 is labeled y with entries 3, 4, 5, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Answer:
A on edge. -
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Step-by-step explanation:
got it right
Answer:
it is A on edge the guy before me is wrong
Step-by-step explanation:
Which is it? A,B,C or D
If x is 5, then 6x=??
Answer:
30
Step-by-step explanation:
since x=5, and it's 6x, it'd be the same as 5x6, or 6(5).
Answer:
I think it should equal 30
Step-by-step explanation:
If x is 5 it would be 6(5) so you multiply 6 and 5 which equals 30
(sorry if i'm wrong)