Answer:
The remainder is: f(-1) = -4
Step-by-step explanation:
We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)
Given the function
[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]
It is stated that the function f(x) is divided by x + 1.
Thus, substituting x = -1 in the function to find the remainder f(-1)
i.e
f(-1) = (-1)⁴ - 5
f(-1) = 1 - 5
f(-1) = -4
Therefore,
The remainder is: f(-1) = -4
Answer:
9
Step-by-step explanation:
find the equations that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the xy-plane.
The equation that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the x y-plane is (x - 9)² + (y - 2)² = 9.
We know that the given coordinates correspond to a sphere.
The x, y coordinates for our search for a circle parallel to the x-y plane are (x, y) = (9, 2)
The circle's standard equation is (x - h)²+ (y - k)² = r², where h and k are the circle's x and y coordinates, respectively, and r is its radius.
So, we have:
h = 9 ;
k = 2 ;
r = 3;
the solution is (x - 9)² + (y - 2)² = 9.
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The surface area of a solid is 4500 square inches. Is the surface area greater than 3 square yards
If the surface area of the solid is 4500 square inches, then the surface area of the solid is greater than 3 square yards
What are areas?The area of a shape is the amount of space on the shape.
For most regular quadrilaterals, the area is the product of the length and the width of the quadrilateral
Is the surface area greater than 3 square yards?The surface area of the solid is given as
Surface area = 4500 square inches
As a general rule of unit conversion
1 square inches = 1/1296 square yards
Next, we multiply both sides of the equation by 4500
So, we have
4500 * 1 square inches = 4500 * 1/1296 square yards
Evaluate the products in the above equation
4500 square inches = 3.5 square yards
3.5 square yards is greater than 3 square yards
Hence, the surface area of the solid is greater than 3 square yards
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Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number,
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.
the person ontop is wrong its a and e
Step-by-step explanation:
:)
please help this is a prodigy question i'm stuck on
Answer:
put down the 1/6 and the 1/2 on the number line then calculate the fraction of how far spread they are
Step-by-step explanation:
put down the fractions, calculate how far away they are
2 step explination its 3/6
hope its right................
Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write a system of equations to find the number of 2-point shots and 3-point shots Gladys made. Let LaTeX: xx represent the number of 2-point shots and LaTeX: yy represent the number of 3-point shots that Gladys made.
Answer:
[tex]x+y=18 \\2x+3y=42[/tex]
Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Step-by-step explanation:
Total number of points scored by Gladys = 42
Only 2-point and 3-point shots are taken by Gladys.
Let number of 2-point shots taken = [tex]x[/tex]
Let number of 3-point shots taken = [tex]y[/tex]
Total number of shots taken = 18
Therefore, first equation can be written as:
[tex]x+y=18[/tex]
Total points scored = 42
Therefore, second equation can be written as:
[tex]2x+3y=42[/tex]
System of equations is:
[tex]x+y=18 .... (1)\\2x+3y=42 .... (2)[/tex]
Using elimination method to solve the system of equations.
Multiplying equation by 2 then subtracting it from equation (2):
[tex]3y - 2y = 42 - 36\\\Rightarrow y = 6[/tex]
By equation (1):
[tex]x+6=18\\\Rightarrow x = 12[/tex]
Therefore, Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Help me PLEASEEEE I’m on a time limit
Answer:
C. 20/52
Step-by-step explanation:
What percent 284 of is 71?
Answer:
It's 25
Step-by-step explanation:
Can you help me please?
Answer:
D
Step-by-step explanation:
16 - 3x = 4 + x
solve please
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3
what is the value of
[tex] \frac{7}{3} \div \frac{5}{6} [/tex]
Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student
tickets cost s dollars each.
On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50
student tickets, and collect $1,230.
This situation is represented by this system of equations:
125a +65 s = 1,200
140a +505 = 1,230
What could the equation 265a+115s=2,430 mean in this situation?
Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.
Answer:
Sum of the two separate equations.
The values satisfies the equation
Step-by-step explanation:
Given the equations for the two separate days :
125a +65 s = 1,200 - - - Friday
140a +50s = 1,230 - - - Saturday
265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.
B)
Because, Inputting the solution, satisfied the equation:
a = 7 ; s = 5
265a+115s=2430
265(7) + 115(5) = 2430
1855 + 575 = 2430
What is 5×10+4×1+8×110+6×1100+1×11,000 ?
Answer:
18534 is the answer of this question
Differentiate Vx(x + 2) with respect to x.
Answer:
[tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]
General Formulas and Concepts:
Calculus
The derivative of a constant is equal to 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]y=\sqrt{x} (x+2)[/tex]
Step 2: Rewrite
[tex]y=x^{\frac{1}{2} } (x+2)[/tex]
Step 3: Differentiate
Product Rule [Basic Power/Chain Rule]: [tex]y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)[/tex]Simplify: [tex]y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}[/tex]Rewrite: [tex]y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}[/tex]Add: [tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]Please help!!
The options for both of these is right here!
Card A:
16
6
90
9
Card B: Card B *
QR
TU
RS
ST
Given:
Triangle ABC is similar to triangle EFG.
Pentagon ABCDE is similar to pentagon QRSTU.
To find:
The length of segment FG.
The missing value in [tex]\dfrac{D}{EA}=\dfrac{?}{UQ}[/tex].
Solution:
In card A,
AC = 15 in.
BC = 9 in.
EG = 10 in.
Triangle ABC is similar to triangle EFG. So, the corresponding sides are proportional.
[tex]\dfrac{AC}{BC}=\dfrac{EG}{FG}[/tex]
Putting the values, we get
[tex]\dfrac{15}{9}=\dfrac{10}{FG}[/tex]
[tex]\dfrac{5}{3}=\dfrac{10}{FG}[/tex]
[tex]5\times FG=3\times 10[/tex]
[tex]5FG=30[/tex]
Divide both sides by 5.
[tex]FG=6[/tex]
Therefore, the length of segment FG is 6 in.
In card B, pentagon ABCDE is similar to pentagon QRSTU.
The corresponding sides of similar figure are proportional. So,
[tex]\dfrac{AB}{QR}=\dfrac{BC}{RS}=\dfrac{CD}{ST}=\dfrac{DE}{TU}=\dfrac{EA}{UQ}[/tex]
Now,
[tex]\dfrac{CD}{ST}=\dfrac{EA}{UQ}[/tex]
It can be written as
[tex]\dfrac{CD}{EA}=\dfrac{ST}{UQ}[/tex]
Therefore, the missing side is ST.
Julissa gave out an equal number of oranges to each of the 6 apartments on her floor. If she gave each apartment 5 oranges, how many oranges did Julissa give out in all? StartFraction 5 Over 6 EndFraction 1 and one-fifth 11 30
Answer:
30 oranges
Step-by-step explanation:
Total number of apartment in julissa floor = 6
Number of oranges given to each apartment = 5
how many oranges did Julissa give out in all?
Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment
= 6 × 5
= 30 oranges
Therefore, total number of oranges julissa gave out = 30
Answer:
30
Step-by-step explanation:
30
Which equation is equivalent to x + 2y = 6?
y = -x + 6
B
y = -5x – 6
y = -x + 3
y = -x + 3
Answer:
y = -x + 6
Step-by-step explanation:
you will carry the character "X" to the right hand side making it "-x"
Equation x + 2y = 6 is equivalent to y = 3 - x/2
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
x + 2y = 6,
Subtract x from both the sides,
x + 2y - x = 6 - x
2y = 6 - x
Divide both the sides by 2,
y = 3 - x/2
The equation x + 2y = 6 can be expressed as y = 3 - x/2.
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A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.2 liters. By
what percent is the student's estimate off?
Answer: The student's estimate is off by 12%
Pls I need help plsssss
Answer:
The first option!
Step-by-step explanation:
2 2/3 but brainliest? Thanks!
pls helppp
math work
bleh
Answer:
m = -10
Step-by-step explanation:
>:)
Answer:
m= -10
Step-by-step explanation:
2< -7 - (-10)
2< -7 + 10
2< 3
-3(x+5) - (2x+3) equals
-5x,-18
i hope im right im not quite sure bout this one
The mean of 30 numbers is 18. What will be the new mean, if each observation is
increased by 2.
Answer:
The new mean will be 20.
Step-by-step explanation:
The Mean Value of a Data Set
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]
Where xi is the value of each data and n is the total number of values.
The mean of n=30 numbers is [tex]\bar x=18[/tex]. If each observation is increased by 2, then xi'=xi+2 and the new mean value will be:
[tex]\displaystyle \bar x'=\frac{\sum x'_i}{30}[/tex]
[tex]\displaystyle \bar x'=\frac{\sum x_i+2}{30}[/tex]
[tex]\displaystyle \bar x'=\frac{\sum x_i}{30}+\frac{\sum 2}{30}[/tex]
The sum of 30 times 2 is 60, thus:
[tex]\displaystyle \bar x'=18+\frac{60}{30}=18+2=20[/tex]
The new mean will be 20.
29. JK, given J(-3, 5) and K(2, -5)
Domain
Range
Answer:
I think, the domain would be the x values and range would be the y values.
Domain - [-3 , 2]
Range - [-5 , 5]
I hope you get this right.
if you answer correct you get brainliest!
Answer:
The correct answer is D.) y = -2x-3
Step-by-step explanation:
You can solve the given equation y - 5 = -2(x + 4):
y - 5 = -2(x + 4) simplify the right side
y - 5 = -2x - 8 add 5 to both sides
y = -2x - 3
Hope it helps! have a great day! :)
Answer:
D
Step-by-step explanation:
solve whats in ( ) first y-5= -2x -8
move the constant to the right y = -2x - 8+5
(5 is the constant )
add the sums y= -2x -3
This is actually the slope intercept form
twice the difference of a number and 3 is 5.
Answer:
2(3-n)=5
Step-by-step explanation:
Find the value of x.
Answer:
x=102
Step-by-step explanation:
f(x) = -x^2 – 10x find f(-5)
Answer:
f(-5)=-(-5)^2 - 10(-5) = 25
Step-by-step explanation:
The value of f(-5) is 25 when x = -5
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that
⇒ f(x) = -x² – 10x
To determine the value of f(-5)
Substitute the value x = -5
⇒f(-5 ) = -(-5)² - 10(-5)
⇒f(-5 ) = 25
Hence, the value of f(-5) is 25 when x = -5
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Which expression is equivalent to
2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11
Answer:
4) -2g - 11
Step-by-step explanation:
2(3g-4)-(8g + 3) =
6g - 8 - 8g - 3 =
- 2g - 11
( 7- 4 ) ÷ 9 of (8÷2×3)
Answer:
-3 and 12
Step-by-step explanation:
but I'm not sure about your question when you say of is that supposed to be a and if it is a and then its -3 and 12
Answer:8/27
Step-by-step explanation:
(7-4)÷9 of (8÷2×3)
3÷9 of 8÷6
help! what is the equation of the line??!
Answer: y=-1/3-2
Step-by-step explanation:
slope=-1/3
y intercept=-2
Plainfield Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $50 and chairs cost $65. The center cannot spend more than $3000.
Which inequality represents all possible combinations of s stools and c chairs?
50s+65c≤3000
50c+65s≥3000
50s+65c<3000
50c+65s≤3000
Answer:
D) 50s + 65c ≤ 3000
Step-by-step explanation:
50s represents the stools and 65c represents the chairs
you can't go over 3000 and so this is the only answer that makes sense.
Answer:
The answer is D) 50s + 65c ≤ 3000!
Step-by-step explanation:
I just took the test and i got 100%. Hope this helps! :]