Answer:
[tex]\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}[/tex]
Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.
[tex]2x^3 \cdot x[/tex]
Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes [tex]2x^4[/tex].
Same logic applies to the second term: [tex]8x^2[/tex], raise the exponent by one, [tex]8x^3[/tex].
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so [tex]x^1[/tex] in this case - as [tex]x^1=x[/tex]). Again, using the same logic, this turns into [tex]x^2[/tex].
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, [tex]3 \cdot x = 3x[/tex].
Adding these terms all together gets us [tex]2x^4 + 8x^3 + x^2 + 3x[/tex].
Hope this helped!
Simply
-7i x (-8i)
Will give brainiest to the best one
The table above shows the high temperature last Thursday for five cities, A through E. If the median of the Thursday high
temperature for these cities was 81°F, which of the following could NOT have been the high temperature last Thursday of city
A?
Answer:85
Step-by-step explanation:
[tex]F[/tex]High temperature last Thursday of city is [tex]85[/tex]°
(A) is correct. If the median of the Thursday high temperatures for the five cities was[tex]81[/tex]°[tex]F[/tex],then the five high temperatures are listed in order from greatest
to least (or least to greatest),
A.[tex]85[/tex]°[tex]F[/tex]
B.[tex]75[/tex]°[tex]F[/tex]
C.[tex]65[/tex]°[tex]F[/tex]
D.[tex]55[/tex]°[tex]F[/tex]
Since the three greatest known high temperatures are [tex]91[/tex]°[tex]F[/tex]., [tex]87[/tex]°[tex]81[/tex]°[tex]F[/tex].
[tex]81[/tex]°[tex]F[/tex] must be the third temperature in the list.The unknown high temperature for City A must be less than or equal to[tex]81[/tex]°[tex]F[/tex].
Thus, [tex]85[/tex]°[tex]F[/tex] is NOT less than or equal to [tex]81[/tex]°Therefore only [tex]85[/tex]°[tex]F[/tex] could NOT have been the high temperature last Thursday for City A.For more information,
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Cypress Middle School wants to have a fundraiser to buy art supplies. Fundraiser A will give the school $1.50 for each order placed plus $75 as a bonus. Fundraiser B will give the school $3.00 for each order placed, but no bonus. How many orders must be placed in order for the total amount of money earned by each fundraiser to be the same? a 150 b.5 c.17 d.50
Answer:
50
Step-by-step explanation:
Let the number of orders required be x
Fund raiser A , 1.50 for each other plus bonus of 75
for x orders, we have 1.50 * x = 1.50x
Add the bonus = 1.50x + 75
Fund raiser B, $3 for each other , no bonus
Total from fund raiser B is 3 * x = 3x
So to make them equal, we ensure that e equate both values;
3x = 1.5x + 75
3x -1.5x = 75
1.5x = 75
x = 75/1.5
x = 50
50 orders will make both funds equal
Describe in detail where do pandas live. (3-5 sentences)
Answer:
Giant Pandas are big creatures that live in south central China. In Sichuan, Shaanxi and Gansu provinces in mountain ranges. They live there because they get heat stress if the temperature rises 25 degrees Celsius (77 F). “They have to live at temperatures below that to stay healthy,” Spotila said. “In nature, they actively seek out cool areas (micro habitats) in summer and move to higher elevations to avoid heat.”
Step-by-step explanation:
The College Bookstore is having a back-to-school sale the t-shirts that are usually sell for $34.50 are marked down to $20.70 what percent off are they
Answer:
40% off
Step-by-step explanation:
If TGS = KEL, which angle in KEL corresponds to T?
Hello.
If ΔTGS ≅ ΔKEL, then angle ∠T ≅ ∠K because:
∠T ≅ ∠K
∠G ≅ ∠E
∠S ≅ ∠L
Answer:
Then it is K
But you aren't giving me a lot of information
to work with here, so I answered it the best I know-how.
Step-by-step explanation:
:) Hope you enjoy it :)
need help, please kfvleknfv
Problem 18
Answers:
~P -> Q: "if it is not fall, then the leaves change colors"
~P -> ~Q: "if it is not fall, then the leaves don't change colors"
P -> ~Q: "If it is fall, then the leaves don't change colors"
Q -> ~P: "If the leaves change colors, then it is not fall"
----------
Explanation:
Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.
==========================================
Problem 19
Answer: Choice A) 134
----------
Explanation:
AB = CD
8x = 4x+24
8x-4x = 24
4x = 24
x = 6
BC = 18x+26
BC = 18*6+26
BC = 134
==========================================
Problem 20
Answer: Choice C) x = 5 and y = 11
----------
Explanation:
(anglePQR)+(angleRQS) = 90
(12x-2)+(6x+2) = 90
18x = 90
x = 5
angle TQU = 90
10y-20 = 90
10y = 110
y = 11
==========================================
Problem 21
Answer: 99
----------
Explanation:
The remote interior angles add to the exterior angle (remote interior angle theorem)
(angle RPQ) + (angle PQR) = angle PRS
(3x-29) + (7x-42) = 6x-3
10x-71 = 6x-3
10x-6x = -3+71
4x = 68
x = 68/4
x = 17
angle PRS = 6x-3
angle PRS = 6*17-3
angle PRS = 99
==========================================
Problem 22
Answer: 116
----------
Explanation:
Refer to the diagram below.
Solve 105+x = 180 to get x = 75
Solve 135+y = 180 to get y = 45
Solve x+y+z = 180 to get z = 60
Solve z+82+p = 180 to get p = 38
Solve p+78+q = 180 to get q = 64
Solve q+r = 180 to get r = 116
==========================================
Problem 23
Answer: B) between 4 and 44 inches
----------
Explanation:
We use a variation of the triangle inequality theorem here.
If p is the missing side length, then
24-20 < p < 24+20
4 < p < 44
So,
4 < XY < 44
The side XY cannot be 4 inches and it cannot be 44 inches either.
==========================================
Problem 24
4 Answers: A, B, C, D
----------
Explanation:
Same idea as problem 23
24-10 < x < 24+10
14 < x < 34
So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26
In other words, only 12 and 34 are non-answers.
==========================================
Problem 25
Answer: C) 84 degrees
----------
Explanation:
The given exterior angle is 152 degrees
Subtract that from 180 to get the adjacent interior angle 180-152 = 28
Now let's find the missing angle of triangle DEB
D+E+B = 180
28+68+B = 180
96+B = 180
B = 180-96
B = 84
This is the measure of angle DBE
This is also the measure of angle ABC because the two angles are vertical angles.
Vertical angles are always congruent.
If I can eat 2/5 of a pizza in 1/7 hour how many can I eat in one hour
Answer:
2 and 4/5
Step-by-step explanation:
If you ate 2/5 of a pizza in 1/7 of an hour then you need to multiply 2/5 by 7
Start by converting 7 into a fraction
7 = 7/1
then multiply the top and bottom of the fractions
2 * 7 = 14
5 * 1 = 5
2/5 * 7/1 = 14/5
Convert 14/5 into a mixed number
14/5 = 2 and 4/5
g(t) = -2t + 3f(t) = 2t - 5
Find (g f)(t)
Answer:
( g − f ) ( a ) = g ( a ) − f ( a )
( g −f ) ( a ) = g ( a ) − f ( a )
= − 3 a − 3 − a 2 − 5
= − a 2 − 3a − 8
Step-by-step explanation:
After calculating, the value of (g f) (t) is ( - 4t + 13).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The functions are,
⇒ g(t) = -2t + 3 and f (t) = 2t - 5
So, The value of function (g f) (t) is find as;
⇒ (g f) (t) = g (f (t))
= g (2t - 5)
= - 2 (2t - 5) + 3
= - 4t + 10 + 3
= - 4t + 13
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Which expression is equivalent to 33.63.23 without
exponents?
644.4 rounded to the tenth
22. Restaurants At Morgan's Fine Cuisine, meals are served a la carte. That is, each
item on the menu is priced separately. Jackie and Ted Parris went to Morgan's to
celebrate their anniversary. Jackie ordered prime rib, 2 side dishes, and a roll. Ted
ordered prime rib, 3 side dishes, and 2 rolls. Jackie's meal came to $36 and Ted's
meal came to $44. If the prime rib is three times as expensive as a side dish, what
is the cost of each item?
Answer: Cost of a side dish = $ 7
Cost of a roll = $1
Cost of prime rib = $21
Step-by-step explanation:
Let x = cost of a side dish , y= cost of a roll
Then, cost of a prime rib = 3x
Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36
i.e. 3x+2x +y = 36
⇒ 5x+y=36 (i)
Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.
i.e. 3x+3x +2y = 44
⇒6x+2y=44
⇒ 3x+ y= 22 (ii) [divide both sides by 2]
Subtract (ii) from (i), we get
2x= 14
⇒ x=7 [divide both sides by 2]
Put x=7 in (ii), 3(7)+y=22
⇒ 21+y=22
⇒ y =22-21
⇒ y= 1
So, cost of a side dish = $ 7
cost of a roll = $1
cost of prime rib = 3x $7 = $21
Jessica bought 4 packages of birthday invitations for 16.95 per package including tax each package contained 12 birthday invitations one stamp coast 0.44 she plans to split the cost evenly with her mother how much money will Jessica mother need to give to Jessica
Answer:
Jessica's mum will give her 44.46
Step-by-step explanation:
To solve this, we will first of all need to get the total cost of sending the birthday invitations across. After that, we can now split the cost into two.
Cost of sending birthday invitations:
Package cost = 16.95
Number of packages bought = 4
total sum spent on packages = 4 X 16.95 = 67.8
Each package contains 12 invitations.
There are 4 packages.
Total number of invitations = 12 X 4 = 48 invitations
One stamp cost 0.44.
Putting stamps on all 48 invitations will cost 0.44 X 48 = 21.12
Therefore the total cost will be the total sum spent on packages +the total sum spent on stamps = 67.8 + 21.12 = 88.92
Her mum has agreed to pay half of this cost which is 88.92 / 2 = 44.46
Please help???
A coffee shop begins the day with 75 bagels and sells an average of 10 bagels each hour. Function b models the bagel inventory, b(x) , x hours after opening.
Answer:
i chose D
Step-by-step explanation:
because 0 is less than or equal to x and x is less than or equal to 75 ***** but use this answer at your own risk *****
The domain is the set of values for which the given function is defined. The domain of the given function is 0≤x≤7.5. The correct option is B.
What is the domain and range of a function?The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
Given that function b model the bagel inventory, b(x), after x hours of opening, and it is given as,
b(x) = 75 - 10x
Now, the domain of the function is the values that x can take in the function. Since x represents the number of hours after opening, therefore, it can not be negative and must start with zero.
Further, since the inventory or the total number of bagels that the shop has is 75, therefore, they can not sell more than that, and at some point, the inventory will become zero. Therefore, we can write,
75 - 10x = 0
-10x = -75
10x = 75
x = 75 /10
x = 7.5 hours
Hence, the domain of the given function is 0≤x≤7.5.
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Sequence: 2, 6, 10,_,_ _.
What are the next two numbers in the sequence?
A 14, 18
B
16, 24
C 14, 20
12, 16
Answer:
A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18
You spent $36 buying $9 storage crates
and $3 notebooks. This situation can be
modeled by the equation 9x + 3y = 36.
Find the x- and y-intercepts. Graph
the equation.
Answer:
y-intercept=-4
x-intercept=12
questions classmates have about cell organelles? from peardec
what’s the answer??jdbfnfnfnfn
Answer:
m = -k/7
Step-by-step explanation:
(to) Solve for m;
7m + k = 0. Given
- k -k Subtract K from both sides
--------------------
7m = -k K becomes negative since it was subtracted
_ _
7 7 Divide both sides by 7 to get m by itself
---------------------
m = -k/7 Answer
1. Marvin and Zoey both are working part time jobs for the summer and the graph below
represents their earnings. The horizontal axis represents the hours worked, the vertical
axis represents the money earned, the dashed line represents Zoey's earnings, and the
solid line represents Marvin's earning. Who earns more?
Draw the image of AABC under a dilation whose center is P and scale factor is 4.
5.8
5.8
610
2.8
2.2
B
3.0 PA
Answer:
Each vertex is 3 times as far from P as the original. Each segment is 3 times as long. It is easy enough to count grid squares to plot the points in the right places.
Step-by-step explanation:
see attachment
Convert 5.4 ⋅ 10^3 to standard form.
Answer:
It's in standard form
Step-by-step explanation:
PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!
Answer:
x= 13
Step-by-step explanation:
Roberto deposited 860 in a new account that earns 6.5% simple interest. after 6 months, how much interest will he have earned?
Answer: $335.40
.....................................
In 1999, the price of unleaded fuel was $1.09. In 2015, the price of unleaded fuel is $1.89. What is the percent change
Answer:
73.39%Step-by-step explanation:
Initial price
$1.09Later price
$1.89Percent change:
(1.89 - 1.09)/1.09 × 100% =0.7339 × 100% =73.39%Can someone help me with my math? Please, I am begging you! It's due today and I'm confused.
A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
Answer:
[tex]Point-Slope \: Form \: (using \: the \: point \: (1,9) \to \boxed{y-9=2x- 2}\\
Slope-Intercept \: Form \to \boxed{y = 2x + 7}\\
Standard \: Form\to\boxed{ 2x - y = - 7}[/tex]
Step-by-step explanation:
[tex]the \: equation \: is \: gotten \: by \: applying : \ \\ (m) = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} .............(the \: slope) \\ y-y_{1} =m (x- x_{1})..............(point \: slope \: form) \\ y = mx + c..............................(Slope-Intercept \: Form) \\ \alpha x + \beta y = c...................(Standard \: Form) \\ \\ part \: a. \to \\ Point-Slope \: Form \: (using \: the \: point (1, \: 9)): \\ y-y_{1}=m (x- x_{1}) \\ y-9=m (x- 1) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{9 - 7}{1 - 0} \\ m = 2. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y-9=2x- 2}. \\ \\ part \: b. \to \\ Slope-Intercept \: Form: \\ since \: m \: is \: already \: given \: then \: we \: apply : \\ y = m(x) + c \\ c = y - m(x) \\ c = 9 - 2(1) \\ c = 7. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y = 2x + 7}. \\ \\ part \: c. \\Standard \: Form: \\ the \: standard \: form \: is \: given \: by : \\ \alpha x + \beta y = c \\ \boxed{ 2x - y = - 7} \\ is \: the \: required \: equation.[/tex]
♨Rage♨
Solve the equation for a, when b=4 and c=5
[tex]17+2b-4c=4(a-7)-3[/tex]
Which is a graph of y = -2x + 3
A factory made 125 packs of gum. 32% of the packs contained mint-flavored gum. How
many packs of mint gum did the factory make?
Answer:
3.90
Step-by-step explanation:
A parkingmeter charges$2 perhour.As a driverparks hercar,she noticesthat the parkingmeterhas15 minutesremainingonitfromthe previousdriver whousedthe parking spot.Ifthedriverinsertsd dollarsintotheparkingmeter and theparkingmeter has 3 hoursremainingon itas a result,write an equationtosolve ford?
Answer:
3 = 0.25 + 0.5d
Step-by-step explanation:
Given that:
Amount charged per hour = $2
Time left before inserting $d = 15 minutes
Total time after inserting $d = 3 hours
Total time of 3 hours = time left by previous driver + hours purchased with $d
$2 = 1 hour
$d = x
2x = d
x = d/2 ; 0.5d
Since 15 minutes is left before inserting $d
15 minutes to hour ; 15/60 = 0.25
Total time of 3 hours = time left by previous driver + hours purchased with $
3 = 0.25 + 0.5d
(C) In the past 9 days, Lena has received the following numbers of email advertisements per day:
40, 41, 42, 43, 46, 48, 50, 52, 85.
Which measure should be used to summarize the data?
Mean
Median
Mode
