Answer:
Use synthetic substitution to find the value of k such that (x3 + 4x2 + x + k)
If f(x) = 3x and g(x) = x^2, then what is f(g(x))?
Answer:
3x^2
Step-by-step explanation:
f(x) = 3x
g(x) =x^2
f(gx)
substitute in the given information
f(x^2)
since f(x) = 3x
then
f(x^2) = 3x^2
Answer:
3x^2.
Step-by-step explanation:
We replace the x in f(x) by g(x):
f(g(x)) = 3 * x^2
= 3x^2.
one-third of a number t is less than or equal to 5
Answer:
t ≤ 15
Step-by-step explanation:
One third of 15 is equal to five (1/3 × 15 = 5)
One third of t is lesser than or equal to five (1/3 × 5 ≤ 5)
So, t cannot be more than 15. It can be equal to 15, though.
∴t ≤ 15
Describe the thing in your surroundings that represents area.
Answer:
non-living and living
Step-by-step explanation: around a person, place, or thing; environment
hope this helps!!!!
find the 10th term f(1) = 30 ; f(n) = 2 * f(n-1) -50
Answer: :F(x)=x^2+x-6
The 10th term of the given sequence is -10190.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(1)=30; f(n)=2×f(n-1)-50.
Here,
When n=2
f(2)=2×f(2-1)-50
=2×f(1)-50
= 2×30-50
= 10
When n=3
f(3)=2×f(3-1)-50
=2×f(2)-50
= 2×10-50
= -30
When n=4
f(4)=2×f(4-1)-50
=2×f(3)-50
= 2×(-30)-50
= -60-50
= -110
When n=5
f(4)=2×f(5-1)-50
=2×f(4)-50
= 2×(-110)-50
= -220-50
= -270
When n=6
f(4)=2×f(6-1)-50
=2×f(5)-50
= 2×(-270)-50
= -540-50
= -590
When n=7
f(4)=2×f(7-1)-50
=2×f(6)-50
= 2×(-590)-50
= -1180-50
= -1230
When n=8
f(4)=2×f(8-1)-50
=2×f(7)-50
= 2×(-1230)-50
= -2510
When n=9
f(4)=2×f(9-1)-50
=2×f(8)-50
= 2×(-2510)-50
= -5070
When n=10
f(4)=2×f(10-1)-50
=2×f(9)-50
= 2×(-5070)-50
= -10190
Therefore, the 10th term of the given sequence is -10190.
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How do you evaluate 3x+8 when x=2?
Answer:
3x + 8 is equal to 14 when x = 2.
Step-by-step explanation:
To evaluate the expression 3x + 8 when x = 2, we simply subsititute the value of x into the expression. We can write this expression as the function:
f(x) = 3x + 8
And we can evaluate the function when x = 2 by simply plugging in the value 2 for x:
f(x) = 3x + 8
f(2) = 3(2) + 8
f(2) = 6 + 8
f(2) = 14
Hence, the expression 3x + 8 is equal to 14 when x = 2.
Cheers.
all numbers between 1 and 2 are rational numbers true or false
Given that
1:2
now,
1*2
2
Which rational number equals 02 ? ( 1 point ) 1/10 1/9 2/10 2/9
Answer:
2/10!
Step-by-step explanation:
Hope it helps!
OwO
Which of the following is a prime number? 61 39 27 76
Answer:
the answer is 61
Step-by-step explanation:
round 43628 to the thousands place
Answer:
44,000
Step-by-step explanation:
The number 3 is in the thousands place. Round that to 4.
Your answer is 44000.
Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph of f(x)=|x|.
g(x)=
Answer:
[tex]g(x) = |x - 3|[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x|[/tex]
Required
Translate 3 units right
The result of a right translated function is:
[tex]g(x) = f(x - h)[/tex]
Where h is the unit of translation
[tex]h = 3[/tex]
[tex]g(x) = f(x - 3)[/tex]
Solve for f(x - 3)
[tex]f(x) = |x|[/tex]
[tex]f(x - 3) = |x - 3|[/tex]
Hence;
[tex]g(x) = |x - 3|[/tex]
5x-29.4+1/3x, when x= -11/5
Answer:5x-29•4+1/3x
Now put x value
5 (-11/5)-29.4+1/3 (-11/5)
-11-29.4+1/(-33/5)
-202/5+1/(-33/5)
-6691/165
Step-by-step explanation:
The answer I got was -617/15
1. 8 + 7k - 2
what is the answer to this
Answer:
-0.2+7k
Step-by-step explanation:
Rearrange the equation so that it is 1.8-2+7k
1.8-2=-0.2
You can't add 7k because it doesn't have a common variable
-0.2+7k
help me please!!!!!!
Solve for z in terms of v, w, x, and y.
vy = -ZWx
Z =
I
Answer:
lots of letters
Step-by-step explanation:
Which of the following options have the same value as 70% of 80
Choose 3.
Answer:
56 is the answer so it's A, C and E.
Step-by-step explanation:
Ben has 9 packs of balloons. He has 54 balloons in all. How many balloons are in
each pack?
6
5
4
My Progress >
Answer:
6 because 54÷9 is 6
there is 6 balloons in each pack.
The number of balloons in each pack will be 6. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Ben has 9 packs of balloons. He has 54 balloons in all. The number of the ballons will be calculated as,
Number = Total balloons / Packs of ballons
Number = 54 / 9
Number = 6
Hence, the number of balloons in each pack will be 6. The correct option is A.
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Slope-intercept form: y=-11/10x-1
Standard form:________
Hey there!☺
[tex]Answer:\boxed{11x+10y=-10}[/tex]
[tex]Explanation:[/tex]
[tex]y=\frac{-11}{10}x -1[/tex] in standard form
Rewrite in standard form.
[tex]{11x+10y=-10[/tex]
Hope this helps!
The standard form of the equation is 11x + 10y = -10.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given equation is y=-11/10x-1. The standard form of the equation can be written as,
y=-11/10x-1
10y = -11x - 10
11x + 10y = -10
Hence, the standard form of the equation is 11x + 10y = -10.
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Solve for j.
-2 + 13j = 10j - 20
j=1
Answer:
Hi there!
Your answer is:
j= -6
Step-by-step explanation:
-2+13j = 10j -20
-10j
3j -2 = -20
+2
3j = -18
/3
j= -6
Hope this helps
On November 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outstanding checks in the amounts of $105.50 and $158.10, deposits in transit amount to $605.27, account earnings of $68.51 and there is a service charge of $5.00. Determine the Adjusted Checkbook Balance and the Adjusted Statement Balance. Draw a conclusion.
Answer:
adjusted check book balance : $ 2,387.85
adjusted statement balance : $2,594.85
Step-by-step explanation:
Given check book balance : $2,324.34
Add : Interest earned and other credits : $68.51
Subtotal : $2,392.85
Deduct service charges and other debits : $5.00
Therefore, adjusted check book balance : $ 2,387.85
Given statement balance : $2,253.18
Add : Deposit in transit : $605.27
Subtotal : $2,858.45
Deduct : outstanding checks : $105.50 + $158.10 = $263.60
Therefore, adjusted statement balance : $2,594.85
Please help with this simultaneous equation you can use any method(Only number 6)
Answer:
Pencil: $0.60 Rubber: $0.48
Step-by-step explanation:
Let the cost of a pencil be p and the cost of a rubber be r.
[tex]p+r=1.08[/tex] (Equation 1)
[tex]4p=5r[/tex] (Equation 2)
Divide both sides by 4:
[tex]p=\frac{5}{4} r[/tex]
Substitute this into Equation 1:
[tex]\frac{5}{4} r+r=1.08[/tex]
Multiply both sides by 4:
[tex]\frac{5}{4}r* \:4+r* \:4=1.08*4[/tex]
[tex]5r+4r=4.32[/tex]
[tex]9r=4.32[/tex]
Divide both sides by 9:
[tex]\frac{9r}{9}=\frac{4.32}{9}[/tex]
[tex]r=0.48[/tex]
Since r + p = 1.08,
[tex]p=1.08=0.48=0.60[/tex]
What is the value of x in 6 - 4x = 7x - 9x + 10
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]6-4x=7x-9x+10[/tex]
First, combine like terms on the right:
[tex]6-4x=-2x+10[/tex]
Add 4x to both sides. The left cancels:
[tex]6=2x+10[/tex]
Subtract 10 from both sides. The right cancels:
[tex]-4=2x[/tex]
Divide both sides by 2:
[tex]x=-2[/tex]
So, the value of x is -2.
And we're done!
Step-by-step explanation:
[tex]6 - 4x = 7x - 9x + 10 \\ 6 - 4x = - 2x + 10 \\ 6 - 10 = - 2x + 4x \\ - 4 = 2x \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]
hope it helped you:)
A three-pack of sponges costs $3.21 what is the cost per sponge .
Answer:
Each sponge is $1.07.
Step-by-step explanation:
3.21 / 3 = 1.07
Answer:
So If three pack costs 3.21 you divide that number by three so 3.21 divied by three is 1.07
A scale drawing of a square has a side length of 9 centimeters. The drawing has a scale of 1 cm : 3 ft. Find the actual perimeter and area of the square.
Answer:
area =729 feet square
perimeter = 108 feet
Step-by-step explanation:
Given the side of a square is 9 cm.
The scale is given as :
1 cm = 3 feet
Since 1 cm represents 3 feet.
Therefore, 9 cm will represent = 9 x 3 feet
= 27 feet
So the side of the square is 27 feet.
Therefore, its area = Side x side
= 27 x 27
= 729 feet square
And the perimeter = 4 x side
= 4 x 27
= 108 feet
can someone help me with this i don't really understand it
Answer:
b
Step-by-step explanation:
cuz
Answer:
b
Step-by-step explanation:
b sh he's he he'd just de jdjeueuusshsh
help pls i am comfused
Solve this equation 4+4|2x−1|=12.
Answer:
x=1.5 or3/4
Step-by-step explanation:
using bodmas
remove the bracket: 4+4=(2x-1)=12
4+8x-4=12
8x=12+4-4
8x=12
x=3/2 or 1.5
Pls halp due today >_<. Thank you
At what position on the number line is the red dot located?
Answer:
square root of 7
Step-by-step explanation:
2 times 2 is 4
3 times 3 is 9
7 is the only option between 4 and 9
(this was more the easy method lol but hope this helps)
Twelve increased by four times a number is
negative 8. I need the equation and solution !!
x = a number
12 + 4x = -8
Subtract 12 from both sides
4x = -20
Divide both sides by 4
x = -5
the temperature is -1F. if the temperature rises 10F, what will the new temperature be?
Answer:
9F
Step-by-step explanation:
-1 + 10 = 9
Therefore your answer is 9F
