The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.
What is the remainder when 3 is synthetically divided into the polynomial?It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.
On this note, it follows that the expression evaluation at x = 3 represents the required remainder.
Therefore, we have;
-2 (3)² + 7 (3) - 9
= -18 + 21 - 9
= -27 + 21
= -6
Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.
Therefore, the correct answer choice is; Choice A; -6.
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A bag contains pennies, nickels, nickels, and nickels. There are 50 coins in total. Of the coins, 14% are pennies and 34% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?
answer:
8 pennies,16 dimes,13 nickels,13 quarters
Step-by-step explanation:
total number of coins = 50
16% are pennies
16% of 50
16/100 x 50=(16x50)/100=800/100=8
Pennies = 8
32% are dimes
32% of 50
32/100 x 50=(32x50)/100=1600/100=16
Dimes = 16
5 more nickels than pennies
Pennies = 8
nickels = 8 + 5 = 13
nickels = 13
8+16+13=37
50 - 37 = 13
13 quarters
pennies = 8, dimes = 16, nickels = 13, quarters = 13
Jae bought 85 tickets to spend on games and rides at an amusement park. Games cost 3 tickets each, and rides cost 8 tickets each. Jae has already used 39 of the tickets. If he uses all of his remaining tickets for rides, how many more times can Jae go on rides?
Answer:
15
Step-by-step explanation:
Jae can go 15 more times on the rides.
Answer:
Jae can ride 5.75 or 5 more times
Step-by-step explanation:
Total of tickets, Jae buys 85
Jae uses (-) 39 tickets
85 - 39 = 46 remaining tickets
Rides: 8 tickets each
46/8 = 5.75
I hope this helps.
For all values of x, f(x)=2x+1 and g(x)=x^2. Solve fg(x)=gf(x). (Mathwatch)
[tex]\text{Given that,}\\\\f(x) = 2x+1,~~ g(x) = x^2\\\\\ \text{now,}\\\\f(g(x)) = g(f(x))\\\\\implies f(x^2) = g(2x+1)\\\\\implies 2x^2+1=(2x+1)^2\\\\\implies 2x^2+1= (2x)^2 +2\cdot 2x + 1\\\\\implies 2x^2 +1 = 4x^2 + 4x +1\\\\\implies 4x^2 -2x^2 +4x +1-1 =0\\\\\implies 2x^2 +4x =0\\\\\implies 2x(x+2)=0\\\\\implies 2x =0~~ \text{or}~~ x+2 =0\\\\\implies x =0 ~~~\text{or}~ x =-2\\\\\ \text{Hence,}~ x =0 ~\text{and} ~ x =-2~ \text{are the solutions.}[/tex]
What is the greatest common factor of 24 and 9
Answer:
The Greatest Common Factor of 24 and 9 is 3.
Answer:
3
Step-by-step explanation:
the biggest number u can divide 24 and 9 commonly is 3
A grocery store charges $5 for every 3 1/4 pounds of furit. Eleizibeth has 9 3/4 pounds of fruit in her grocery cart. How much will Elizabeth have to pay to purchase the fruit?
Sorry for the spelling :)
Answer:
15 dollars
Step-by-step explanation:
because f it 9 3/4 and it 5 dollars for every 3 1/4 its like multiplying 3 to 3 1/4 so 15 dollars :(:
Find the zeros of quadratic equation X^2 - 3x + 9 = 5x - 10
x^2 - 3x + 9 - 5x + 10 = 0
x^2 - 8x + 19 = 0
[tex]x^{2} -3x+9=5x-10 <=> x^{2} -3x-5x+9+10=0\\<=>x^{2} -8x+19=0 <=>x^{2} -2.4+16+3=0\\<=>(x-4)^2+3=0[/tex]
ok done. Thank to me :>
The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?
Answer:
20 buses
Step-by-step explanation:
Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.
To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.
5 * 4 = 20
Hope this helps! :D
HELP PLEASE WILL GIVE BRAINLIEST
Answer:
In attachment
Step-by-step explanation:
See the attachment. They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem. The inputs would be the two given points for each graph. Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x. Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.
Can someone please help me with this question
A. Angle 3 is a vertical angle to angle 2 which means they are the same.
Angle 3 = 76 degrees
B. Angle 6 is also the same as angle 2.
Angle 6 = 76 degrees
C. Angle 8 + angle 6 form a straight line which equals 180 degrees
Angle 8 = 180 - 76 = 104 degrees
Answer:
76° , 76° , 104°
Step-by-step explanation:
(a)
∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 76°
(b)
∠ 6 and ∠ 3 are alternate angles and are congruent , then
∠ 6 = 76°
(c)
∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then
∠ 8 = 180° - 76° = 104°
i suck at this stuff
pls help asap
ty <3
Answer:
12*2=24
Step-by-step explanation:
What is 5 rounded to the nearest whole number, explain why
Answer:
The answer is 10
Step-by-step explanation:
It is
Estimate the line of best fit using two points on the line.
Answer: i think it's b
Answer:
C.
Step-by-step explanation:
A and D are immediately wrong since the line is increasing.
Using the formula of rise over run, we can find the slope. We then use 40 as the rise and 5 as the run
40/5 is 8.
We can now put 8 as the slope in the y=mx+b equation. We can see the line intersect at 20 at the y-axis, which makes 20 the y-intercept. We can now insert that into the b part of the equation. This leaves us with y=8x+20.
help with my math please
Answer:
j mmmmmmm
Step-by-step explanation:
mmmmmmmmm
Describe the graph x = 2.
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
Diagonal line that goes through point (0,2).
Diagonal line that goes through the point (2,0).
Answer:
3rd is the answer!! Hope this helps
5ab+8c} if a = 3, b = 2, and c = 9.
Step-by-step explanation:
5ab + 8c
Putting values of a = 3 b = 2 and c = 9
5(3)(2) + 8(9)
30 + 72
102
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
false
Step-by-step explanation:
The first and second terms of an arithmetic sequence are 50 and 100, respectively.
The first and second terms of a geometric sequence are also 50 and 100,
respectively. The sum of the third terms of these two sequences is???
Given that 35.8 x 4.23= 151.434
write down a division sum with an answer of 423.
Answer:
151434/358 = 423
Step-by-step explanation:
Every product with non-zero factors can be written as an equivalent division relation.
a·b = c ⇒ a = c/b
Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...
4.23 = 151.434/35.8
We can multiply this by 100 to get a division relation with a quotient of 423:
423 = 15143.4/35.8
If we want, we can move the decimal points another place to the right to get ...
151434/358 = 423
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
v = l * w * h
v = x * 22 * 28
v = 616x
kari purchased 3 cherry trees for sale. Each cherry tree cost $9 less than its full price. She paid a total of $135
Answer:
whats the question?
Step-by-step explanation:
Answer:
each tree was $36
Step-by-step explanation:
if the trees are $9 less then the full price and she purchased 3
9 times 3 is 27 135-27 is 108 so then when you divide 108 and 3 to get $36
Find the value of x.
75
70
60
80
Answer:
75. is yr correct ans.
Step-by-step explanation:
hope it helps.
stay safe healthy and happy.
Answer:
x = 75
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both of measure x
The sum of the 3 angles = 180° , that is
x + x + 30 = 180
2x + 30 = 180 ( subtract 30 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
(Exit
Topic 3: Assessment Form C
Hugo's exercise data is shown. Use the trend line y = 3.5x + 10 to complete the sentence.
Laps
7 8 9 10 11
Time (min)
35.5
37
41.5
45
49.5
It will take Hugo about
min to run 6 laps
Answer:
35.5
Step-by-step explanation:
Write a system of linear inequalities represented by the graph.
Answer:
x=2 ,. y=y -3
Step-by-step explanation:
I hope it helps
The equations of the lines given in the graph will be y = 3x and y =-5x -2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
For line one the points are:-
( 1,3 ) and ( 0,0)
Slope = ( 0 - 3) / ( 0 - 1 )
Slope = 3
The equation will be,
y = 3x
For line two the points are:-
(-1,3) and (0,-2),
Slope = ( -2 - 3 ) / ( 0 + 1)
Slope = -5
The y-intercept will be,
y = mx +c
c = -2
The equation can be written as:-
y = -5x - 2
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change percentage to a decimal
52 %
319%
7.9%
4/5%
3 7/8%
6 2/3%
2.
There are six bottles of water. Each bottle contains 0.65 L of water. The capacity of a cup is 0.26 L.How many cups can you fill with all the water.
3.
30.8 m of cloth is needed to make 7 shirts. What is the length needed to make 16 shirts
4.
Mrs Wong buys 0.6 kg of fish balls for $15. Mr Chan buys 0.5 kg from the same shop how much should he pay?
5.
every 0.35 L of mango drink is made of 0.14 kg of mangoes and some soda . Connie wants to buy 3.75 L of mango drink . How many kilograms of mangoes dose she need
Answer:
52%=0.52
319%=3.19
7.9%=0.079
4.5%=80
37/8%=4.652
62/3%=20.67
2. 15 cups
3. 70.4m
4. $12.5
5.
Step-by-step explanation:
52%=52/100=0.52
319%=319/100=3.19
7.9%=7.9/100=0.079
4/5%=(4/5)/100=4/5×100=80
37/8%=4.(5/8)=4.652
62/3%=20.(2/3)=20.67
1 bottle holds 0.65L
1 cup holds 0.26L
6 bottles hold (0.65×6) =3.9L
n cups hold 3.9L
0.26n=3.9
n=3.9/0.26
n=15
30.8m make 7 shirts
ym make 1 shirt
7y = 30.8
y = 4.4m
1 shirt needs 4.4m
16 shirts need 16×4.4=70.4m
0.6kg cost $15
1kg costs $b
0.6b=15
b=$25
1kg costs $25
0.5kg cost (25×0.5)=$12.5
What is the answer plsss say the CORRECT answer
Answer: 40
Step-by-step explanation:
There are 120 people at a party 1/3 of the people leave the party work out the number of people still at the party
Answer:
There is 80 people still at the party
Step-by-step explanation:
To find how many people are still at the party we first have to find how much 1/3 of 120 is.
∴120/3=40
then we subtract 1/3 of 120 from 120 to get the answer
∴120-40=80
WILL GIVE BRAINLIEST
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Hope that's better
Adrian, Ben and Charlie share some sweets in the ratio 7.4.11
Charlie got 52 more sweets than Adrian. Work out the total amount of sweets.
Answer:
286 sweets.
Step-by-step explanation:
If Adrian had x sweets, Charlie got x+52 sweets.
The number of parts is 7+4+11 = 22.
So Adrian had 7/22 of the total and Charlie had 11/22 = 1/2 of the total.
This means that Ben had 4/22 = 2/11 of the total.
If y is the total number of sweets:
y = x + x + 52 + 2y/11
9y/11 = 2x + 52
2x = 9y/11 - 52.............(1)
Also x + 52 = y/2
y = 2x + 104
2x = y - 104...............(2)
Equating (1) and (2) - (as there is 2x on left side of both equations):-
9y/11 - 52 = y - 104
52 = 2y/11
y = 52 * 11/2
y = 286 sweets.
Help!! Ill give 100 points if your correct
[tex]\\ \sf\Rrightarrow 12\dfrac{5}{6}-5\dfrac{1}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77}{6}-\dfrac{31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77-31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{46}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{23}{3}[/tex]
[tex]\\ \sf\Rrightarrow 7\dfrac{2}{3}[/tex]
Given info:- Subtract and simplify. 12(5/6) - 5(1/6) The given options are (a) 6(1/3) (b) 5(2/3) (c) 7(1/3) (d) 7(2/3)
Solution: 12(5/6) - 5(1/6)
= (72+5)/6 - (30+1)/6
= 77/6 - 31/6
Take the LCM of 6 and 6 is 6.
so,
= (77*1 - 31*1)/6
= (77-31)/6
= 46/6
= (46÷2)/(6÷2)
= 23/3
= 7(2/3) Ans.
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