its 4,
=(20/5)1
= (4)1=4
Answer:
4
Step-by-step explanation:
20÷5x1
20÷5=4
4x1=4
Using the remainder theorem, which quotient has a remainder of 20?
OA (3r4 – 573 + 5x + 2) = (x - 2)
O B. (3r3 + 702 + 5x + 2) = (x - 2)
Oc. (13 + 5x2 4r + 6) = (x + 5)
OD. (74 – 812 + 16) = (x + 4)
Answer:
The answer is A. (3x^4-5x^3+5x+2) =(x-2)
Step-by-step explanation:
we see that the polynomial that gives the remainder as 20 is
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2)
Option A is our correct answer.
What is the remainder theorem?The remainder theorem states that when a polynomial p(x) is divided by
(x - a), then the remainder = f(a).
We have,
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2) ____(1)
We can directly find the remainder as:
x - 2 = 0
x = 2
Putting x = 2 in (1) we get,
= 3 x 16 - 5 x 8 + 5 x 2 + 2
= 48 - 40 + 10 + 2
= 20
The remainder is 20.
(3x³ + 7x² + 5x + 2) ÷ (x - 2) ) _______(2)
x - 2 = 0
x = 2
Putting x = 2 in (2) we get,
= 3 x 8 + 7 x 4 + 5 x 2 + 2
= 24 + 28 + 10 + 2
= 64
The remainder is 64.
(x³ + 5x² - 4x + 6) ÷ (x + 5) ______(3)
x + 5 = 0
x = -5
Putting x = -5 in (3) we get,
= - 125 + 5 x 25 - 4 x (-5) + 6
= -125 + 125 + 20 + 6
= 20 + 6
= 26
The remainder is 26.
([tex]x^{4}[/tex] - 8x² + 16) ÷ (x + 4) _______(4)
x + 4 = 0
x = -4
Putting x = -4 in (4) we get,
= 256 - 8 x 16 + 16
= 256 - 128 + 16
= 144
The remainder is 144.
Thus we see that the polynomial that gives the remainder as 20 is
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2)
Option A is our correct answer.
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the sum of a number and -43 is 102.what is the number
Answer: 145
Step-by-step explanation:
Answer: 145
Step by step explanation:
solve for n. n-5•2/3=3/4
Exact form is N=49/12 mixed number form is N=4 1/12
Step-by-step explanation:you have to simplify both sides and then isolate the variable.
Answer:
n=49/12 or 4 1/12
Step-by-step explanation:
n-5•2/3=3/4
n-10/3=3/4
n=3/4+10/3
n=49/12 or 4 1/12
The question i’m asking is if you can help me get 2 equations that if you type on a graph you will get the point (2,5)
Answer: The equations are y = 4x-3 and y= 3x -1
Step-by-step explanation:
So lets say both equations will have positive slopes. Using that, we can input any slope and solve for the y intercept using the coordinates.We will use the formula, y=mx + b where m is the slope and b is the y-intercept
Let's say the slope is 3.
5 = 3(2) + b
5= 6 + b
-6 -6
b= -1
We can now come up with the equation, y= 3x -1
We need to find another equation that will intersect with it at the point (2,5)
For lines to intersect, they need to have different slopes and different y-intercepts.
We need to come up with a new slope, the slope of the second equation could be 4. Now using the formula, use the coordinates so solve for the y intercept.
5= 4(2) + b
5 = 8 + b
-8 -8
b = -3
The equation will be y = 4x -3
We now have the equations y=4x -3 and y = 3x -1
To find that their solution is (2,5) substitute one of the y-values into the other and solve for x then solve for y.
4x -3 = 3x -1
+3 +3
4x = 3x + +2
-3x -3x
1x = 2
x = 2
We know now that the value of x is true because the value of x is 2.Input it into one of the equations and solve for y.
y = 4(2) - 3
y = 8-3
y = 5
The solution is indeed (2,5) .
if f(x)=3x^2+1 and g(x)=1-x, what is the vaue of (f-g)(2)?
[•12 •14 •36 •38]
Step-by-step explanation:
(f-g)(x) = f(x) - g(x).
When x = 2, f(2) - g(2) = 3(2)^2 + 1 - (1 - 2) = 12 + 1 + 1 = 14.
63001 square root by division method
Answer:
this is a correct answer
Solve this equation. 2(3x+5)=4(2x-3)
Answer:
x = 11Step-by-step explanation:
2(3x+5) = 4(2x - 3)
First expand the terms
That's
6x + 10 = 8x - 12
6x - 8x + 10 = - 12
- 2x + 10 = - 12
Subtract 10 from both sides
That's
- 2x + 10 - 10 = - 12 - 10
- 2x = - 22
Divide both sides by - 2
We have the final answer as
x = 11Hope this helps you
4. a) In a sale, a car costing $ 9500 Średuced by
30%
what's the sale Price?
Answer:
$6650
Step-by-step explanation:
→ Calculate the decimal multiplier
100 - 30 = 70
70 ÷ 100 = 0.7
→ Multiply the decimal multiplier by the cost
9500 × 0.7 = 6650
Answer:
$6,650
Step-by-step explanation:
This is called percentage decrease:
(100 - 30)% = 70%
9500 × 70/100
= $6,650
What is being constructed based in the markings in the following diagram?
Answer:
Perpendicular line through a point off a line
Step-by-step explanation:
Based on the markings in the diagram, we have;
Marking points E and F along AB extended forms two points equidistant from the point C on the line AB
Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.
Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB
Hence the correct option is the construction of a perpendicular line through a point off a line.
Answer:
C. Perpendicular line through a point off a line (its off not on) Took the test and got it right
Step-by-step explanation:
Sarah has a wooden board that is 12 feet long. If she cuts three 28-inch pieces from the board, how many inches of board will she have left?
Answer:
60 inches
Step-by-step explanation:
12 feet=144 inches
28in x 3 = 84
144-84= 60
Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
What do we mean by conversion of units?The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.
What are the conversion factors between inch and foot?The conversion factor between inch and foot are:
1 foot = 12 inches,
or, 1 inch = 1/12 feet.
How do we solve the given question?We are informed that Sarah has a wooden board that is 12 feet long.
We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.
To solve the problem, we convert the length of the wooden board from feet to inches.
The board is 12 feet long. We know 1 foot = 12 inches.
∴ 12 feet = 12*12 inches = 144 inches.
∴ Length of the board = 144 inches.
Size of the piece cut by Sarah = 28 inches.
She cuts 3 such pieces,
∴ Total piece of board cut = 3*28 inches = 84 inches.
∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.
∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.
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Simplify (6-2)(33)(3-6)
Answer:
-396
Step-by-step explanation:
Plug it into a calculator
4 x 33 = 132
132 x -3 = -396
4 x 33 x -3= 132 x -3= -396
You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600 feet. What is the angle of elevation from the base to the top of the mountain?
Answer:
θ = [tex]30^{0}[/tex]
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin θ = [tex]\frac{800}{1600}[/tex]
= 0.5
θ = [tex]Sin^{-1}[/tex] 0.5
θ = [tex]30^{0}[/tex]
Thus, the angle of elevation from the base to the top of the mountain is [tex]30^{0}[/tex].
Jon borrows $4.50 from his friends to pay for snacks, and $13.65 from his sister to go to the movies. How much money does he reed to repay?
Answer:
$18.15
Step-by-step explanation:
q(x) = 2x+5
f(x)= x^2+1
find (gof)(7)
Answer:105
Step-by-step explanation:
first find f(7)
(7)^2 + 1
=50
then put the answer for f(7) in g of x
2(50) + 5
=105
2,568 + (-1,452) pls help me asap !!! we are doing adding rational numbers
Answer:
1,116
Step-by-step explanation:
2568 + ( - 1452)
= 2568 - 1452 ( because + × - makes -)
= 2568 - 1452
= 1,116
Answer:
the answer is 1116 I hope it's right
Red pencils cost 3 for 10¢. Blue pencils cost 5¢ each. Green pencils cost 2 for 5¢. If you can purchase any color you wish, what is the greatest number of pencils you can you can buy for 50¢?
Answer: 20 green pencils
Step-by-step explanation:
given data:
cost of red pencils = 3 for 10¢.
cost of green pencils = 2 for 5¢.
cost of blue pencils = 5¢/each.
Greatest number of pencils one can buy for 50¢ By choosi any color is 20pencils which is green
red pencils 50¢ = 15 pencils
green pencils 50¢ = 20 pencils
blue pencils 50¢ = 10 pencils
Answer:
20
Step-by-step explanation:
Each expression with the appropiate property:
Answer:
it denotes distributive property of multiplication over addition
distributive property of multiplication over addition. The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
complete the statement.
(7m-2m2n)2
m = -6 and n = 2
The value of the given expression (7m - 2m²n)² = 34,596 at m = -6 and n = 2.
What is an expression?An expression consists of variables, constants, and operators. Based on the number of terms in an expression, they are named linear, binomial, and so on.
Calculation:The given expression is (7m - 2m²n)²
It is given that m = -6 and n = 2
To evaluate the given expression, the given values are substituted in it.
On substituting these values,
(7m - 2m²n)² = (7(-6) - 2(-6)²(2))²
⇒ (-42 - 4(36))²
⇒ (-42 - 144)²
⇒ (-186)²
∴ (7m - 2m²n)² = 34,596
Therefore, the required value of the given expression is 34,596.
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5(x+7)=10
Ghggggggggggggggg
Answer:
x=-5
Step-by-step explanation:
x=10/5 - 7
x=2-7
x=-5
HAS TO BE DONE BY TOMORROW - A positive integer is called snakelike if its digits alternately increase and decrease or vice versa. For example, 130 and 91727 are snakelike. However 123 is not snakelike (2 is greater than 1 but not 3) and 91727 is not snakelike (7 is greater than 1 but not 7) A) How many 4-digit snakelike numbers contain each of the digit 1,2,3,4 exactly once B) How many 3-Digit snakelike numbers have 6 as their middle digit C) a 7-digit snakelike number starts with digit 9. Explain why it last digit cannot be 0
Answer:
A)
The simplest way to solve A is by checking 1st digit one-by-one.
selecting 1 as 1st digit, we have 2 ways
1324 and 1423
selecting 2 as 1st digit, we have 3 ways
2143, 2314, and 2413
selecting 3 as 1st digit, we have 3 ways
3142, 3241, and 3412
selecting 4 as 1st digit, we have 2 ways
4132 and 4231
=> 2 +3 + 3 + 2 = 10 ways in total.
B)
Use the same strategy as A)
selecting 1st digit that is greater than 6, there are 3 digits: {9, 8, 7}
selecting 9 as 1st digit => 967, 968
selecting 8 as 1st digit => 867, 869
selecting 7 as 1st digit => 768, 769
=> 3 x 2 = 6 ways
selecting 1st digit that is smaller than 6, there are 5 digits: {5, 4, 3, 2, 1}
selecting 5 as 1st digit => 565, 564, 563, 562, 561, 560
similarly, selecting 4, 3, 2, 1, there are 6 ways to select that last digit
=> 5 x 6 = 30 ways
=> 30 + 6 = 36 ways in total
C)
a 7-digit snakelike number starts with digit 9 (the largest digit)
=> 2nd digit is smaller than 9
=> 3rd digit is larger than 2nd digit
=> 4th digit is smaller than 3rd digit
=> 5th digit is larger than 4th digit
=> 6th digit is smaller than 5th digit
=> 7th digit is larger than 6th digit (this is impossible because 0 is smallest digit)
While hiking Mr.Condo burns 402 calories in 6 hours. how many calories does he burn in 60 minutes
There are not asymptotes for the parent function
f (x) =1/x
True
False
Answer:
True
Step-by-step explanation:
the parent function f(x) = 1/x has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0
Help me solve this Question thanks
Answer:
C
Step-by-step explanation:
Given
[tex]\frac{-m}{2}[/tex] - [tex]\frac{5}{4}[/tex] ≤ [tex]\frac{5m}{12}[/tex] - [tex]\frac{7}{6}[/tex]
Multiply through by 12 to clear the fractions
- 6m - 15 ≤ 5m - 14 ( subtract 5m from both sides )
- 11m - 15 ≤ - 14 ( add 15 to both sides )
- 11m ≤ 1
Divide both sides by - 11, reversing the symbol as a result of dividing by a negative quantity
m ≥ - [tex]\frac{1}{11}[/tex] → C
Find three consecutive numbers whose sum is 84.
You need 3 numbers, divide the total by 3:
84/3 = 28
This is the middle value.
Now you use the one lower and the one higher:
27 + 28 + 29 = 84
The numbers are 27, 28, 29
Answer: 26, 28, 30
Step-by-step explanation:
26, 28, and 30 follow each other in consecutive order without haps of more than two and are arranged smallest to largest.
Show that each function is a quadratic function by writing it in the form
f(x) = ax² + bx+c and Identify a, b, and c.
1. h(x) = 2(x + 1)(3x – 4)
Answer:
h(x) = 2x² - 2x - 8
Step-by-step explanation:
Step 1: Write out equation
h(x) = 2(x + 1)(3x - 4)
Step 2: FOIL
h(x) = 2(x² - 4x + 3x - 4)
Step 3: Combine like terms (x)
h(x) = 2(x² - x - 4)
Step 4: Distribute
h(x) = 2x² - 2x - 8
Sam takes the bus 3/5 of the distance from home to school. He then walks one block to his friends house and rides with the friend the remaining seven blocks to school. What fractional part of the trip did he ride with his friend?
Answer:
2/5
Step-by-step explanation:
3/5 + ____ = 5/5
2/5
Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Required
Solve for x
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Add [tex]\frac{1}{3}[/tex] to both sides
[tex]\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}[/tex]
[tex]\frac{4}{3}x = 9 + \frac{1}{3}[/tex]
Take LCM
[tex]\frac{4}{3}x = \frac{27 + 1}{3}[/tex]
[tex]\frac{4}{3}x = \frac{28}{3}[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}[/tex]
Evaluate the left hand side
[tex]x = \frac{3}{4} *\frac{28}{3}[/tex]
[tex]x = \frac{28}{4}[/tex]
Divide 28 by 4
[tex]x = 7[/tex]
Answer:
x=7 we are both correct
Step-by-step explanation:
Write 81% as a decimal.
Answer: 0.81
Step-by-step explanation: Think about all the way to the 100.
4(2x-1)=3x+5-x do y’all know the answer ?
Answer:
Step-by-step explanation:
4(2x-1)=3x+5-x
8x-4=3x+5-x
8x-4=2x+5
6x-4=5
6x=9
x=3/2
Answer: x=1.3
Explanation: Just simplify the equation so there is a variable on one side and a number on the other.
LM has one endpoint
L(-2,-9) and a midpoint
P(3,2). Find the
coordinates of the
other endpoint, M.
Thank you!
Answer:
coordinate of M (8,13)
Step-by-step explanation:
LM has L(-2,-9), P(3,2) mid point of LM
coordinate of mid point= x=x1+x1/2 and y=y1+y2/2
x1=-2 , x2 is the x of point M
xof P= (-2+x2)/2
3(2)=-2+x2
6=-2+x2 ⇒ x2=6+2=8
y of P= y1+y2/2
2=-9+y2/2
y2=2(2)+9⇒ y2=13
coordinate of M (8,13)