Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.
Please help me and Thank you
What are the sums? Complete the equations.
-10 + 50
Answer:
40
Step-by-step explanation:
-10+50
40
I need which other form can you represent the number 2 1/3
Answer:
You can also represent it as [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{2})^{3} =2\\2^{\frac{1}{3} } =2[/tex]
Which table represents a function that does not have a constant rate of
change?
O A.
A/WIN/Holx
y
16
23
30
37
44
O B.
Х
0
1
2
3
4
y
30
36
42
48
54
O c.
х
0
1
2
3
4
11
12
14
18
26
OD.
Х
0
1
2
3
4
y
10
18
26
34
42
Answer:
c.
Step-by-step explanation:
In table one , the rate of change is by adding 7 to each number
in table 2, the rate of change is by adding 6 to each number
in table 4, the rate of change is by adding 8 to each number
but in table 3, there is no precuse addition of numbers
Plzzz help !!
The sugar sweet company will choose two companies to transport its sugar to market. The first company charges $6990 to rent truck and plus an additional fee of $175.75 for each ton of sugar. The second company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton. For what amount of sugar do the companies charge the same and what is the cost when the two companies charge the same ?
Answer: 14 tons and $3,860.50
Step-by-step explanation:
Which graph shows a system with no solutions?
Answer:
A Graph b
Step-by-step explanation:
Since the two lines are parellel, they will never intersect and there will be no solutions
Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?
Answer:
Answer:
Ryan and Andy live 11.4 blocks from each other.
Step-by-step explanation:Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on coordinate system: 2 blocks west (2 unit left from origin) = -2 5 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. Position of Andy on coordinate system: 7 blocks east (7 unit right ) = 7 2 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance of Ryan and Andy.
Answer:
C.) 11.4
Step-by-step explanation:
Just took the test on Edge 2020
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite. To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below). The area of the school is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. The area of the museum is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. Who should win the debate?
Answer:
(Satellite images of both the buildings on a single coordinate grid are shown in the ATTACHMENT)
MARCI SHOULD WIN
AREA OF MUSEUM > AREA OF SCHOOL
Step-by-step explanation:
Find the area of School in Grid squares:
[tex]Width=\sqrt{1^2+3^2}\\ Width=\sqrt{10}\\Length=\sqrt{2^2+6^2}\\Length=\sqrt{40}\\Area=(Length)\cdot(Width)=\sqrt{40}\sqrt{10}=20\\[/tex]Area of School = 20 Grid squares*10*10
Area of School = 2000 m²
Find the area of Museum in Grid squares:
[tex]A=\pi{r^2}\\A=\pi(3^2)\\A=9\pi[/tex]
Area of Museum = 9п grid squares
Area of Museum = 2826 m²
AREA OF MUSEUM > AREA OF SCHOOL
What is 0.25 as a percent?
Answer:
Step-by-step explanation:
25%
the numbers after the decimal formes a percent
0.x
x = x_%
Answer:
25%
Step-by-step explanation:
25 x 100 you move the decimal point two places to the right.
So you end up with 25%
I really hope this helps.
identify the x- intercepts for
y = (x+3)^2+2
Answer:
No solutions
Step-by-step explanation:
This function would place the parabola above the x axis, so there are no x intercepts
Answer:
D
Step-by-step explanation:
There are no x-intercepts, so this has no solutions.
Hope this helps!
The synthesis of a large collection of information that contains well-tested and verified hypotheses about certain aspects of the world is known as a scientific
A) fact.
B) hypothesis.
C) law or principle.
D) theory.
E) none of these.
Answer:
it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen
A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer:
Answer:
The correct option is;
105 band members
Step-by-step explanation:
The 5 values are
Minimum value = 80
Q₁ = 90
Q₂ = 105
Q₃ = 115
Maximum value = 130
Whereby the horizontal axis indicates the number of band members is a school, while the 5 values of the box plot are the percentiles of the schools in Orange County and also that the lines are graduated in increments of 5, we have that the median = 105 which is the 50% mark, therefore;
50% of high schools in Orange County have more than 105 band members.
Answer:
The answer would be 105
Step-by-step explanation:
I got this right on Khan Academy <33
Which monomial has a degree of 3?
a. 3
b. 3x2
c. 3x
d. -2x3
Answer:
So a degree means the power. So which ever has a power of three. I think you forgot to show to power, its D i think
D is answer
i need help plzzzzzzzzzzzz
Answer:
Fraction : [tex]\frac{3}{10}[/tex]
Decimal = 0.3
Percent = 30%
Answer:
Fraction: 3/10
Decimal: 0.3
Percent: 30%
Step-by-step explanation:
3/10 are shaded blue
0.3 is shaded blue
30% is shaded blue
if x^4x^2/3=X^a what is the value of a?
Answer:
x^(4+2/3)=x^a
a=4+2/3=(12/3)+(2/3)=14/3
Step-by-step explanation:
A car was marked $25,000. Ms. Eve bought it at a discount of
18%. In addition, she had to pay 7% tax. If Ms. Eve had to put
14% of what she had to pay as down payment, how much
money did she have to pay for the down payment?
4
Answer:
$3,745
Step-by-step explanation:
First, you have to calculate the price after the discount is applied:
Price of the car: $25,000
Discount: 18%
$25,000*18%= $4,500
$25,000-$4,500= $20,500
Second, you have to calculate the total amount she has to pay including the 7% tax:
$25,000*7%= $1,750
$25,000+$1,750= $26,750
Third, as the statement indicates that Ms. Eve had to put 14% of what she had to pay as down payment, you have to calculate the 14% of $26,750:
$26,750*14%= $3,745
According to this, Ms. Eve has to pay $3,745 for the down payment.
What is X...……………………….
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing the equation
4+(x-3) = 2x-5
doing the math you will get that 6 is your x.
Hope this helps :)
HELP PLSSSSSS I NEED TO GET THIS DONE
Answer:
1). a = 10, b = 6
2). a = 5, b = 3, c = 8
Step-by-step explanation:
Given expression is,
1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]
= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]
= [tex]\frac{7^{10}}{7^4}[/tex]
= [tex]7^{{10-4}}[/tex]
= [tex]7^{6}[/tex]
Therefore, a = 10 and b = 6
2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]
= [tex]\frac{2^5}{2^2}[/tex]
= [tex]2^{{5-2}}[/tex]
= [tex]2^{3}[/tex]
= 8
Therefore, a = 5, b = 3 and c = 8
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
(-2,-1) is a solution of the equation 4x + 5y = -13.
Answer:
true
Step-by-step explanation:
4x + 5y = -13.
Substitute the point in
4(-2) + 5(-1) = -13
-8+-5 = -13
-13 = -13
This is true so the point is a solution
could the segments 9 9 1 form a triangle ?
Answer:
Yes.
Step-by-step explanation:
Yes . This would be an isosceles triangle (2 angles being 9 units long.
Are you an expert? then answer this.
Answer:
a) n = 3
b) every 9 cm represents 175,000 km
Step-by-step explanation:
a) 20 min : 1 hour
Let's convert it into same units
⇒20 min : 60 min
÷ 20 ÷ 20
⇒ 1 : 3
So n = 3
b) 1 : 25,000
Which means every 1 cm on the map represents 25,000 km
And,
1 cm = 25,000 km
So,
9 cm = 25,000 × 9
9 cm = 175,000 km
So every 9 cm represents 175,000 km
Answer:
a) 3
b) 2.25 km
Step-by-step explanation:
a) 20 min : 1 hour = 1 : n
20 min : 60 min= 1 :3
n=3
b) 1: 25000 scale
1 mm : 25000 mm
9 cm = 90 mm
90 mm : 90*25000 mm
9 cm : 2250000 mm
9 cm : 2.25 km
if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?
Answer:
771
Step-by-step explanation:
Answer:
771
Step-by-step explanation:
What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Please please please help me I need to get this right so please don’t do that if you don’t know geometry
Answer:
Step-by-step explanation:
All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.
The table provides on road accidents reported to the police for the days in December
Accidents reported Frequency
0-5 9
6-10 10
11-15 6
16-20 6
Estimate the mean.
Give your answer rounded to 1 DP.
Answer:
[tex]Mean = 9.3[/tex]
Step-by-step explanation:
Given
Let accidents reported be represented by x and the frequency be represented by f
x ----- f
0-5 -- 9
6-10 -- 10
11-15 -- 6
16-20 -- 6
Required
Calculate the Mean;
To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;
When x = 0 - 5
Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5
When x = 6 - 10
Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8
When x = 11 - 15
Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13
When x = 16 - 20
Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.
So, the new table is as follows;
x ------- f
2.5 ---- 9
8 ----- 10
13 ------ 6
18 ------ 6
Mean is calculated by ∑fx/∑f
Where ∑fx represent sum of the product of f and x
∑f represent sum of frequency
∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6
∑fx = 288.5
∑f = 9 + 10 + 6 + 6
∑f = 31
So,
[tex]Mean =\frac{288.5}{31}[/tex]
[tex]Mean = 9.3064516129[/tex]
[tex]Mean = 9.3 (Approximated)[/tex]
Hence, the mean of road accidents in December is 9.3
The ratio x:y is 3:1
Which of the following statements is correct?
1)x is 3/4 of y
2) y is 1/3 of x
3) x is 1/3 of y
4) y is 1/4 of x
y is ⅓ of x
step by step explanation.ratio of x to y is 3:1
x=¾
y=¼
¼÷¾=⅓
that means y is ⅓ of x
to confirm the answer.when you take¾×⅓=¼.
Answer:
Its B
Step-by-step explanation:
HELP TIMED! WILL MARK BRAINLIEST! What are the domain and range of the piecewise function below? Graph and answer choices are attached.
Answer:
Its the second choice.
Step-by-step explanation:
x does not have a value of -2 so is not in the domain
The range does not have values greater than 1 and less than or equal to 4.
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
vertical angles
complementary angles
adjacent angles
Answer:
Supplementary angles
Adjacent angles
Step-by-step explanation:
They add up to a straight line, which is 180 degrees, therefore they are supplementary.
They also share a side and the corner point, hence adjacent.
Answer: A,D Supplementary Angles
Adjacent Angles
Step-by-step explanation: K12 3.04 test
factorise a)2x+8 b)3x-12 c)6x+4 d) 18x-9