Answer:
D
Step-by-step explanation:
X3+3x2+5x+2x2+6x+10
Collect like terms
X3+5x2+11x+10
The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Now,
Solve the expression for the factors as;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Since, -2 is the solution of the expression.
Hence, (x + 2) is one of the factor of the expression.
So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)
by (x + 2), we get;
x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5
x³ + 2x²
--------------
3x² + 11x
3x² + 6x
------------------
5x + 10
5x + 10
--------------------
0
Thus, The second factor = (x² + 3x + 5)
Therefore,
x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)
Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
Learn more about the mathematical expression visit:
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Pedro has a budget of $50 to spend on his mom for her birthday. He bought her a necklace for $21. He also wants to buy her new scarves that are on sale for $3 each. What is the most number of scarves he can buy her for her birthday?
Answer:
9 scarfs
Step-by-step explanation:
Answer:
9 scarves
Step-by-step explanation:
50 - 21 = 29
29/3 = 9 R2
So that is 9 scarves because you can't buy a fraction off a scarf
Find the product of 5.26 and 12.4.
Answer:
Product of 5.26 & 12.4
= 5.26 × 12.4
= 65.224
Answer:
65.224
Step-by-step explanation:
5.26 × 12.4 = 65.224
Point-Slope
Instructions: Write the equation of the line in Point-Slope Form given the information below.
Slope =
Point = (1,4)
Point-Slope Form:
Check
7
Answer:
Look below.
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
Point: (1,4)
First you have to plug in our point and the slope (m) if we had one.
1 will be plugged into x1 while 4 will be plugged into y1.
Answer: y-4=m(x-1)
This is as much as we can do with the information provided.
what % of 800,000 = 560,000
Answer:
70%
Step-by-step explanation:
560,000/800,000= 0.70
Help!
This is for Patterns, Functions, and Algebra!
Answer:
Consider the following polynomial.
2y9−y6+2+7y10
Identify the degree.
Answer: C
Step-by-step explanation: he has 50 total and 4 per minute is draining which means it’s going to be -4t because it’s after t minutes.
Alan invests a total of $16,500 in three different ways. He invests one part in a mutual fund which in the first year has a return of 11%. He invests the second part in a government bond at 7% per year. The third part he puts in the bank at 5% per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $1,425. How much did he invest in each way?
Answer:
>> $9000 invested in mutual fund
>> $3000 invested in government bond
>> $4500 put in the bank
Step-by-step explanation:
Let us denote the money invested in each case by a letter. Thus;
a = the money that he invested in a mutual fund
b = the money that he invested in a government bond
c = the money that he put in the bank
We are told that he invested a total of $16,500. Thus;
a + b + c = 16500 - - - (eq 1)
He invested twice as much in the mutual fund as he did in the bank. Thus;
a = 2c - - - (eq 2)
From the percentage given and the return of $1,425 from the first year investments, we have;
0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)
Let's put 2c for a in eq (1) and eq (3)
Thus;
2c + b + c = 16500
b + 3c = 16500 - - - (eq 4)
Also,
0.11(2c) + 0.07b + 0.05c = 1425
0.07b + 0.27c = 1425 - - - (eq 5)
From eq 4, b = 16500 - 3c
Putting this in eq(5) gives;
0.07(16500 - 3c) + 0.27c = 1425
1155 - 0.21c + 0.27c = 1425
0.06c = 1425 - 1155
0.06c = 270
c = 270/0.06
c = $4500
b = 16500 - 3(4500)
b = 16500 - 13500
b = $3000
Since a = 2c, then;
a = 2(4500)
a = $9000
A small painting has an area of 400 cm2. The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve by completing the square. Round answers to the nearest tenth of a centimeter.
PLEASE HELP! I WILL MARK AS BRAINLIEST!
400 = 8x * x
400 = 8x^2
400 / 8 = x^2
root/50 = x
7.1cm = x
Can someone help me please
I will give Brainiest
Answer:
PQR = 126
Step-by-step explanation:
summplementary = 180
(4x+2)+(2x-8) = 180
6x - 6 = 180
x = 31
PQR = 4x+2
= 4(31)+2
= 126
simplify: 10 (3x-4)=30-5x
Answer:
x=2
Step-by-step explanation:
10(3x−4)=30−5x
Step 1: Simplify both sides of the equation.
10(3x−4)=30−5x
(10)(3x)+(10)(−4)=30+−5x(Distribute)
30x+−40=30+−5x
30x−40=−5x+30
Step 2: Add 5x to both sides.
30x−40+5x=−5x+30+5x
35x−40=30
Step 3: Add 40 to both sides.
35x−40+40=30+40
35x=70
Step 4: Divide both sides by 35.
35x 70
____ = _____
35 35
x=2
Please mark as brainliest if answer right
Have a great day, be safe and healthy
Thank u
XD
Really sorry if it is complicated
HELPPPPP !!!!!!!! PLSSSS AWNSERRR!! i'm not looking for "X"! Unit 7: Polygons & Quadrilaterals Homework 3: Rectangles i'm looking for the answers of 11, 12, 13, 14.
Answer:
11) 5x + 8 = 7x - 16
24 = 2x
x = 12
7(12) - 16 = 68
90 - 68
m<GJK = 22
12) 4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 68
x = 4
4(4) + 15 = 31
90 + 31 + ADE = 180
m<ADE = 59
13) 5x - 12 + 2x - 3 = 90
7x - 15 = 90
7x = 105
x = 15
5(15) - 12 = 63
VWZ + 63 = 90
m<VWZ = 27
14) 9x + 3 = 14x - 27
30 = 5x
x = 6
9(6) + 3 = 57
14(6) - 27 =57
90 - 57 = 33
33 + 33 + DHG = 180
m<DHG = 114
Measure of angles of polygons and quadrilaterals:
1) ∠GJK = 22°
2) ∠ADE = 59°
3) ∠VWZ = 27°
4) ∠DHG = 114°
11)
5x + 8 = 7x - 16
24 = 2x
x = 12
Now substitute the value of x,
7(12) - 16 = 68
90 - 68
∠GJK = 22°
12)
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 68
x = 4
Now substitute the value of x,
4(4) + 15 = 31
90 + 31 + ADE = 180
∠ADE = 59°
13)
5x - 12 + 2x - 3 = 90
7x - 15 = 90
7x = 105
x = 15
Now substitute the value of x,
5(15) - 12 = 63
∠VWZ + 63 = 90
∠VWZ = 27°
14)
9x + 3 = 14x - 27
30 = 5x
x = 6
Now substitute the value of x,
9(6) + 3 = 57
14(6) - 27 =57
90 - 57 = 33
33 + 33 + DHG = 180
∠DHG = 114°
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I need help please and thank you ( umm 10 points i think ). thank u
Answer:
D
Step-by-step explanation:
since it tells you y is=1 plug that into the top equation
-1=5x+4
-1=x
and you already have y=-1
so its(-1,-1)
this is simple
since y = -1
y = 5x + 4
-1 = 5x + 4
5x = -5
x = -1
therefore answer is (-1, -1)
Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!
Answer:
900 people
Step-by-step explanation:
540 / 60 = 9
10% = 9
9 x 100 = 900 people
Hope that helps!
Suppose the are 50 eighth-graders in one school in Boone. If 1/10 of the eighth graders are home with the flu and 2/3 of the remaining school students are on a field trip, how many are in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 = 5
50 -5 = 45
2/3 of 45 =30
45-30=15
Estimate to the the place
Answer:
16.8
Step-by-step explanation:
Please help me. Find mQ, mR, and mS please
Step-by-step explanation:
since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.
have a good day :)
Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range
Answer:
Step-by-step explanation:
None of them are correct. The closest is D.
The domain is all real x or (-∞, ∞)
The range is [0, ∞).
what is the range of g?
Answer:
B.
Step-by-step explanation:
The values for g(x) divert after the point -1.
So, the values are going to be equal or greater than -1.
The 7th grade class participated in the following
fitness challenges. If there are 250 students total,
how many participated in weight lifting?
Answer:
20 students
Step-by-step explanation:
Weight lifting:
8% = 0.08
250(0.08) = 20
HELP PLS ASAPP !!! :(
JJ buys a video game for $50.00. If the sales tax is 8.25%
Enter the sum, in dollars, that JJ paid, including tax.
Answer:
$54.26
Step-by-step explanation:
Convert the percentage into a decimal by moving the decimal point 2 places to the left or divide by 100.
This will give you .0825.
Multiply this number by $50 and add it to it
$54.26
Hope this helps! Good luck!! :)
YOU JUST OPEN YOUR FIRST BUSINESS YOU HAVE RENT $1,000 YOUR FIRST ORDER OF PRODUCT WAS $10,000 YOU PHONE BILL IS $120 FOR 4 LINES, ELECTIRC BILL FOR THE FIRST MONTH IS $150, AND YOUR HEAT BILL IS $200 HOWEVER, SPRING IS NEAR SO YOU CAN CUT YOUR HEAT OFF. NOW ITS TIME TO PAY YOUR SELF AND EMPLOYEES. YOUR SALARY IS $5,000 EVERY OTHER WEEK AND YOU HAVE WAGES OF $20,000. .HOW MUCH IS YOUR TOTAL COST? *
Answer: $26,470
Step-by-step explanation:
Total costs are all the expenses that have to be paid by your business to keep it producing.
In this case that figure is:
Total cost = Rent + Phone bill + Electric bill + Heat bill + own salary + Wages
= 1,000 + 120 + 150 + 200 + 5,000 + 20,000
= $26,470
help please! (no links)
There are 300 pets in the pet store. 25% of the pets are dogs. How many dogs are in the pet store?
Step-by-step explanation: If there are 300 pets in the pet store and 25% of the pets are dogs then there is 225. How did I get this I subtract ... Hope this is right...
Plz, answer this question plz!
Answer:
third option down I'm 99% sure
Name the diameter for the circle
Answer:
DH
Step-by-step explanation:
Olivia entered a baking contest. As part of the contest, she needs to demonstrate how to measure a gallon of milk if she only has a teaspoon measure.
During a hone run hitting contest Joe D hit 5 more home runs then ted w, ted w hit 8 more home runs then willie M. Altogether the three baseball players hit 105 hone runs, how many home runs did Ted W hit
Answer: 36
Step-by-step explanation:
Let Willie number of home run he represented by x.
Since ted w hit 8 more home runs than willie M, Ted home runs = x + 8
Since Joe D hit 5 more home runs than ted w, Joe D home run will be: = x + 8 + 5 = x + 13
Since they hit 105 home runs together, this will be represented as:
x + (x+8) + (x+13) = 105
x + x + 8 + x + 13 = 105
3x + 21 = 105
3x = 105 - 21
3x = 84
x = 84/3
x = 28
Number of Ted home run will be:
= x + 8
= 28 + 8
= 36
The nth term of a sequence is 12n - 5
Work out the numbers in the sequence that have two digits and are NOT prime.
9514 1404 393
Answer:
55, 91
Step-by-step explanation:
The 2nd through 8th numbers in the sequence are the 2-digit numbers ...
19, 31, 43, 55, 67, 79, 91
Of these, the ones that are composite (not prime) are ...
55 = 5·11
91 = 7·13
Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.
Answer: £137
Step-by-step explanation:
Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:
= £1500 - £1300
= £200
Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:
= £200 /(1 + Profit percent)
= £200 / (1 + 46%)
= £200 / 1.46
= £136.99
= £137 approximately
For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.
Answer:
I havn't gotten c and d yet, but:
a) They are similar because of the Angle Angle Theorem
b) JN=4ft