Answer:
The two polynomials are:
(x + 1) and (x² + x)
Step-by-step explanation:
A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.
Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.
Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.
So,
Let's multiply both numerator and denominator by (x + 1) to get;
(x + 1)/(x(x + 1))
This gives; (x + 1)/(x² + x)
Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.
What is the 8th term for this sequence -3, -12, -48, -192,...
Answer:
-49152
Step-by-step explanation:
The pattern is:
multiply for 4
then:
-3, -12, -48, -192, -768, -3072, -12288, -49152
PLZ HELP I WILL MARK YOU AS BRAINLIEST
The ages of two groups of karate students are shown in the following dot plots: The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? Group A has greater variability in the data. Group A has less variability in the data. Group B has a lower range. Group B has a lower mean.
Answer:
Group A has less variability in the data.
Step-by-step explanation:
Examining the data for both groups virtually as represented on the dot plot, we can easily tell that the data in group A are less spread compared to group B data.
Group A has a range value of 10 (14 - 4), while group B has a range value of 19 (26 - 7).
Therefore, "Group A has less variability in the data."
The diagram shows 2 straight line , PQ and QR
Find the equation of QR
Help me to explain :)
Answer:
Step-by-step explanation:
We first need to find h. Since h is the x coordinate of Q, and Q is on the line 3x + 4y = 6, we will plug in the x value of h and the y value of 3 and solve for h:
3h + 4(3) = 6 and
3h + 12 = 6 and
3h = -6 so
h = -2
The coordinates for Q are (-2, 3). Now we can use that to find the slope of the line QR:
[tex]m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1[/tex]
So the slope of QR is 1. Now we will choose one of the coordinates on line QR as our x and y coordinates to write the equation for the line in point slope form then in standard form:
y - 8 = 1(x - 3) and
y - 8 = x - 3 and
y - x = 5 or
-x + y = 5. If your teacher does not want you to lead with a negative:
x - y = -5 would be your equation in standard form.
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
find the multiplicative inverse of 3 by 4 minus 5 by 7
Answer:
28
Step-by-step explanation:
[tex]\frac{3}{4}-\frac{5}{7}[/tex]
Least Common Denominator of 4 & 7 is 4 * 7 = 28
[tex]\frac{3}{4}-\frac{5}{7}=\frac{3*7}{4*7}-\frac{5*4}{7*4}\\\\\\=\frac{21}{28}-\frac{20}{28}\\\\\\=\frac{21-20}{28}\\\\\\=\frac{1}{28}[/tex]
Multiplicative inverse of [tex]\frac{1}{28}[/tex] is [tex]\frac{28}{1} = 28[/tex]
help ASAP! image below.
Answer:
y= 68°
x= 34°
Step-by-step explanation:
78° alternates C= 78°
34+78= 112°
180-112= 68°
y alternates 68° y= 68°
68+78= 146°
180-146= 34°
How many pounds is 7 tons
Answer:
14000 pounds :)
Step-by-step explanation:
Answer:
14000 pounds
Step-by-step explanation:
Formula:
multiply the mass value by 2000
Find the volume of the prism. (Image down below)
Answer:
Option (A)
Step-by-step explanation:
In the figure attached,
A prism has been given with two triangular bases.
If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.
Volume of a prism is calculated with the formula,
Volume = (Area of the triangular base) × Height
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the triangular base})[/tex]
= [tex]\frac{1}{2}(3)(5)[/tex]
= 7.5 in²
Volume of the prism = 7.5 × 6
= 45 in³
Therefore, Option (A) will be the answer.
If MQ = 9, NP = 27, and LQ = 15, calculate the length of LP. Assume ΔLMQ ~ ΔLNP. Image not set to scale.
Answer:
LP = 45
Step-by-step explanation:
MQ/NP = LQ/LP
= 9/27
= 1/3
if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45
Answer:
[tex]\huge \boxed{45}[/tex]
Step-by-step explanation:
We can solve by using ratios since the triangles are congruent.
[tex]\displaystyle \sf \frac{MQ}{NP} =\frac{LQ}{LP}[/tex]
Let the length of LP be x.
[tex]\displaystyle \frac{9}{27} =\frac{15}{x}[/tex]
Cross multiply.
[tex]9x=15 \times 27[/tex]
[tex]9x=405[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{405}{9}[/tex]
[tex]x=45[/tex]
the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat
Answer: 4.2 cups
Step-by-step explanation: 63 divided by 15=4.2
i need some help with a tutorial.
Answer:
A
Step-by-step explanation:
Answer:
Choice A is correct.
Step-by-step explanation:
72/9 basically means: 72➗9, which makes 8.
To check, you could also do 8✖️9=72.
To find the correct answer, you need to find the fraction that has the denominator of 1, because you cancel out 9 in the fraction.
The only choice that has the denominator of 1, is choice A, so choice A is correct.
Vicky jogged 2 3/4 miles in 1/2 hour. What was her average rate of speed in miles per hour?
Answer:
5 1/2
Step-by-step explanation:
a) r=d/t
11/4x2/1= 22/4= 5 1/2
b) 1/2 hour x 2 equals one hour, so 2 3/4 x 2 equals rate per hr.
11/4x2=22/4= 5 1/2
Answer:
1 mph
Step-by-step explanation:
All you have to do is follow the formula. Distance/time=mph
What is —4р + (- 6р) equals?
Answer
[tex] \boxed{10p}[/tex]
Step by step explanation
[tex] \mathsf{ - 4p + (- 6p)}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains the same
[tex] \mathsf{ - 4p - 6p}[/tex]
Collect like terms
[tex] \mathsf{ - 10p}[/tex]
Hope I helped!
Best regards!
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)
Answer:
. an=4(2n−1)
Step-by-step explanation:
how to find the theta with side lengths of a triangle
Step-by-step explanation:
Hello, there!!!
I hope you mean the question is like the above problem in picture.
so, let's simply work with it.
here, we may use cosine rule,
so, according to cosine rule,
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]
so, just put value of formulae here,
we get;
5^2 = 3^2 + 4^2 - (2×3×4) . cos thita
or, 25 = 9 + 16 -24 cos thita.
or, 24 cos thita = 0
or, cos thita = 0/25
or, cos thita = 0
now, taking cos to right side we get,
[tex] {cos}^{ - 1 } (0)[/tex]
now, after typing cos ^-1 (0) we get angle as 90°.
(note: in step {cos thita = 0} you couold directly write like; cos thita = cos 90°. and cos would be cancelled in it as cos 90°=0. but it is only applied in particular angle like 0°,30°,60°,..... which are identified or if you don't know you must use the method above using calculator and remember to put inverse {cos^-1}).
so, In this way we find angle.
I hope it helps....
Find the product of the first 3 positive integers and then the first 5 negative integers.
Answer:
PRODUCT OF FIRST THREE POSITIVE INTEGERS=6
PRODUCT OF FIRST FIVE NEGATIVE INTEGERS=(-120)
Step-by-step explanation:
PRODUCT OF FIRST THREE POSITIVE INTEGERS:
1×2×3 = 6
PRODUCT OF FIRST FIVE NEGATIVE INTEGERS:
(-1)×(-2)×(-3)×(-4)×(-5) = (-120)
Answer:
6 and -120
Step-by-step explanation:
The first 3 positive integers
= 1×2×3=6
The first 5 negative integers
= (-1 ) × (-2 ) × (-3 ) × (-4 ) × (-5 ) = -120
What type of triangles has no equal sides and one right angle?
Answer:
Scalene Right Triangle
Step-by-step explanation:
A possible type of triangle that has no equal sides and one right angle is a right triangle.
Right triangles have just one angle that is equal to 90°, and they can be either isosceles or scalene triangles.
Hope this helped!
Pks answer this attachment
Answer:
Anita's shape
Step-by-step explanation:
A shape with less number of sides will have longer sides.
Since, Anita's shape has less number of sides as compared to others.
Therefore, Anita's shape will have longest sides.
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.? A. 2 B. 4 C. 8 D. 16
Answer: C. 8
At 10:15 a.m., there are 8 cells in the bottle.
Step-by-step explanation:
Answer:
At 10.15 there will be 8 cells
Step-by-step explanation:
If x is 5, then 6x = _____.
Answer:
30
Step-by-step explanation:
if x is 5, then 6x=______.
sub in the value of x for 5
when a variable and coefficient as next to eachother that means to multiply
so 6*5= 30
Answer:
[tex]\large \boxed{\mathrm{30}}[/tex]
Step-by-step explanation:
[tex]x=5[/tex]
[tex]\sf{Substitute \ x \ as \ 5 \ for \ 6x.}[/tex]
[tex]6(5)[/tex]
[tex]6 \times 5 = 30[/tex]
3|2(2)-9|-2
need to evaluate the expression
Answer:
13
Step-by-step explanation:
3|2(2)-9|-2
First evaluate inside the absolute value
3|4-9|-2
3|-5|-2
Taking the absolute value of -5
3*5-2
Multiply
15 -2
13
Steps to solve:
3|2(2) - 9| - 2
3|4 - 9| - 2
3|-5| - 2
3(5) - 2
15 - 2
13
Best of Luck!
Jose collects baseball cards. Over the last year, the change in the value of his favorite card is $-7. Which best describes the meaning of interger?
Answer with explanation:
An integer is a whole number that can be positive, negative, or zero. For example ...-3,-2,-1,0,1,2,3....Here, positive value indicates gain or above something where as negative value indicates loss or below something.If the change in the value of his favorite card is $-7, that simply indicates that he is having a loss of $-7 that can be understand as the value of his this years card must be smaller than the last year card.
Hence, the best describes the meaning of integer:
"he is having a loss of $-7"
2 4/5-( -2 1/4)
Can someone please help me solve this and explain.. I’m so confused
Answer:
5 1/20
Step-by-step explanation:
2 ⅘=2+4/5
2 ¼=2+1/4
So: 2 ⅘-(-2 ¼)=
2 ⅘ + 2 ¼=
2+4/5+2+1/4=
4+(4/5+1/4)=
4+21/20=
4+(20+1)/20=
4+(1+1/20)=
5 1/20
Will give brainliest. Find the length and measure of each arc. Show your work.
Answer:
exact arc length = 21pi
approximate arc length (using calculator) = 65.9734457253857
approximate arc length (using 3.14 for pi) = 65.94
units are in feet
============================================
Work Shown:
L = (x/360)*2*pi*r
L = (315/360)*2*pi*12
L = 21pi = exact arc length in terms of pi
If you use your calculator's stored version of pi, then L is approximately
L = 21pi
L = 65.9734457253857
Or if you end up using pi = 3.14, then
L = 21*pi
L = 21*3.14
L = 65.94
Fairly close to the other approximation though a bit off because pi = 3.14 is just a rough approximation.
Identify a pattern and find the next number in the pattern.
-5, 1, 7, 13
Answer:
19
Step-by-step explanation:
The pattern is that it +6 every number.
-5 + 6 = 1
1 + 6 = 7
7 + 6 = 13
So the next number is 13 + 6 = 19.
EDIT - I can't add sorry.
Answer:
Step-by-step explanation:
This is an arithmetic sequence.
-5, 1 , 7 , 13 ,.....
First term = a = -5
Common difference = d = second term - first term
= 1 - [-5] = 1 + 5
= 6
Next term = previous term + d
= 13 + 6 = 19
nth term = a +(n-1)*d
= -5 + (n-1)*6
= -5 + 6n - 6 {add like terms}
= -5 - 6 + 6n
= -11 + 6n
Pattern: 6n -11
4. You (or your parents) plan to pay $1,275.00/month for a mortgage. How much is the minimum (1 point)
realized income per month to the nearest penny?
i just did the test....^
The minimum realized income is $2,965.12 per month.
What is the debt-to-income ratio?Lenders typically use the debt-to-income ratio to assess a borrower's ability to repay a mortgage loan.
The debt-to-income ratio = borrower's total monthly debt payments ÷ gross monthly income.
We have,
To determine the minimum realized income per month we need to consider the debt-to-income ratio.
Lenders typically require a debt-to-income ratio of 43% or less.
So,
Assuming a debt-to-income ratio of 43%.
The minimum realized income per month.
= 1,275 / 43%
= 1275 / 0.43
= 2,965.12
Therefore,
The minimum realized income per month required to afford a mortgage payment of $1,275.00, assuming a debt-to-income ratio of 43%, is approximately $2,965.12 per month.
Learn more about debt to income ratio here:
https://brainly.com/question/20901566
#SPJ5
Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $1.25 for a delivery made within 1 1/2 mi, $1.70 for a delivery of at least 1 1/2 mi but less than 1 3/4 mi, $2.15 for a delivery of at least 1 3/4 mi but less than 2 miles, and so on. If tim raised his rates by 10% what would he be paid to deliver a package 3 1/8 miles
Answer:
$4.84
Step-by-step explanation:
Given that
For delivery within [tex]1\frac{1}2[/tex] mi, charges = $1.25
For delivery within [tex]1\frac{1}2[/tex] mi - [tex]1\frac{3}4[/tex] mi, charges = $1.70
For delivery within [tex]1\frac{3}4[/tex] mi - 2 mi, charges = $2.15
and
so on.
i.e.
For delivery within 2 mi - 2[tex]\frac{1}4[/tex] mi, charges = $2.60
For delivery within 2[tex]\frac{1}4[/tex] mi - 2[tex]\frac{1}2[/tex] mi, charges = $3.05
For delivery within 2[tex]\frac{1}2[/tex] mi - 2[tex]\frac{3}4[/tex] mi, charges = $3.50
For delivery within 2[tex]\frac{3}4[/tex] mi - 3 mi, charges = $3.95
For delivery within 3 mi - 3[tex]\frac{1}4[/tex] mi, charges = $4.40
So, every 0.25 mi or [tex]\frac{1}4[/tex] mi increase in distance, there is an increase of $0.45 in the charges.
It is given that there is increase of 10% in the rates.
i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.
The distance of [tex]3\frac{1}8[/tex] miles lies within the range 3 mi - 3[tex]\frac{1}4[/tex] mi.
So actual charges after increase of 10%
[tex]\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}[/tex]
3 people can fix a road in 5 hours how long would it take 4 people give your answer in minutes
Answer:
Hey there!
1 person can fix 1/3 of the road in 5 hours.
1 person can fix 1/15 of the road in 1 hour.
4 people can fix the road in 15/4, or 3.75 hours.
This is equal to 225 minutes.
Let me know if this helps :)
3 people - 5 h
4 people - x h
[tex]4\cdot x=3\cdot 5\\4x=15\\\\x=\dfrac{15}{4}=3,75[/tex]
3.75 h
for the answer: The florist needs at least 1/3 gallons of nutrient rich water for each bushel of flowers he buys. If w is the gallons of water and f is the bushels of flowers, then:
w≥1/3f
I don't understand how you derive this equation.
Answer:
see below
Step-by-step explanation:
The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.
answer it answer it answer it
Answer:
22.5º
Step-by-step explanation:
The angle of one shaded part and one unshaded part is 90º
We have shaded part ([tex]s[/tex]) and unshaded part ([tex]u[/tex])
[tex]90\º = u+s[/tex]
[tex]$u=\frac{s}{3} $[/tex]
[tex]$90\º = \frac{s}{3} +s$[/tex]
[tex]$90\º = \frac{s}{3} +\frac{3s}{3} $[/tex]
[tex]$90\º = \frac{4s}{3} $[/tex]
[tex]$270\º = 4s $[/tex]
[tex]s=67.5\º \implies u=22.5\º[/tex]
Answer: 22.5º
Step-by-step explanation:
