Answer:
− 5[tex]x^{2}[/tex] + 13x −6
By subtracting "[tex]2x^2+ 6x - 5[/tex]" from "[tex]7x^2+ 3x + 4[/tex]" we get "[tex]5x^2-3x+9[/tex]". A further solution is below.
Given equations are:
→ [tex]2x^2+6x-5[/tex]...(equation 1)
→ [tex]7x^2+3x+4[/tex]...(equation 2)
By subtracting "equation 1" from "equation 2", we get
→ [tex](7x^2+ 3x + 4)-( 2x^2+ 6x - 5)[/tex]
→ [tex]7x^2+3x+4-2x^2-6x+5[/tex]
→ [tex]5x^2-3x+9[/tex]
Thus the above solution is the appropriate one.
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Find the number that belongs
in the green box.
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
The unknown angle.
Start by finding the third angle. Call it x.
x + 125 + 32 = 180
x + 157 = 180
x = 180 - 157
x = 23
Now you are set to use the law of sines.
Call ? = x
x/sin(32) = 7/sin(23) Multiply both sides by Sin(32)
x = 7*sin(32)/sin(23)
x = 7*(0.5299) / sin(23)
x = 3.7094/ sin(23)
x = 3.7094 / 0.3097
x = 9.4935
Rounded to the nearest 10th
x = 9.5
L 4.12.2 Test (CST): Percents, Ratios, Proportions, and Rates
QUOSLUIT VIOU
Which pair of ratios will make a proportion?
O A. and i
O B. and 12 물
O c. and
O
o D. / and 24
20
The correct pairs which represent the pair of ratios will make a proportion are,
(A) 2/3 and 4/9
(B) 5/15 and 4/12
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The pairs of ratio are,
(A) 2/3 and 4/9
(B) 5/15 and 4/12
(C) 4/12 and 6/24
Now,
From option A;
⇒ 2/3 and 4/9
⇒ 4/ 9 = 2/3
Hence, It make a proportion.
(B) 5/15 and 4/12
5 / 15 = 1 / 3
4 /12 = 1 / 3
Hence, It make a proportion.
(C) 4/12 and 6/24
4/12 = 1/3
6/24 = 1/4
Hence, It don't make a proportion.
Thus, The correct pairs which represent the pair of ratios will make a proportion are,
(A) 2/3 and 4/9
(B) 5/15 and 4/12
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Complete question is this,Which pair of ratios forms a proportion?
(A) 2/3 and 4/9
(B) 5/15 and 4/12
(C) 4/12 and 6/24
Ansel has two family members who travel for work. Ansel’s aunt travels every 12 days. Ansel’s cousin travels every 8 days. Today both of Ansel’s family members are traveling for work. After how many days will both family members travel on the same day again
The longer coffee sits on a desk, the cooler it becomes.
True or False? The length of time on the desk is a function of the temperature
of the coffee.
A. True
B. False
Answer:
I believe its B False
Answer:
A
Step-by-step explanation:
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Part A
Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]
-----------------------------------------------
Explanation:
Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3
Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3
Apply the pythagorean theorem to find hypotenuse AD
[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]
This points to choice D as the final answer.
===========================================================
Part B
Answer: 7.07-----------------------------------------------
Explanation:
If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.
Since AE = 2n+5, we can solve for n like so
2n+5 = 7
2n = 7-5
2n = 2
n = 2/2
n = 1
Then we can find the length of AD
[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]
Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.
405\450 = 9/10
process
Answer:
Correct
Step-by-step explanation:
Just divide both the numerator and the denominator by their common factors.
First of all factor both of the numbers.
405=5*3^4
450=5^2*3^2*2
Now line it up.
5*3*3*3*3
---------------
5*5*3*3*2
Now we can cancel out some numbers and get
3*3
-----
5*5
Now we actually multiplies them again and get.
9/10
This is the process of how to get it hope it helped!
6x - 5 + 7x = 34 find variable
Answer:
x = 3
Step-by-step explanation:
6x - 5 + 7x = 34
Find x
______________
To solve this, we need to isolate x :
First add like terms :
6x + 7x
13x
13x - 5 = 34
Add 5 to both sides :
13x = 39
Divide 13 from both sides to get x alone :
x = 3
Answer:
x=3
Step-by-step explanation:
Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3
I need help with this ratio table please!
Answer:
(Down there)
Step-by-step explanation:
ok so, heres what to put in the empty boxes for the dog food:cost
40 : $44
60 : $66
80 : $88
70 : $77
And heres what to put for the 2nd boxes
16 : $20
24 : $30
32 : $40
40 : $50
solve problems
5 1/2×3 1/3
Elena drank 5 bottles of water over 7 volleyball practices. How much water did Elena drink each practice if she drank the same amount each time?
Please have good explanation
Answer:
Step-by-step explanation:
If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:
5 bottles of water ... 7 practices
x bottles of water = ? ... 1 practice
5 * 1 = 7 * x
5 = 7 * x /7
x = 5/7 bottle of water
The correct result would be 5/7 bottle of water.
(It’s making me type 20 characters long soooooo.
Answer:
c
Step-by-step explanation:
C is split into thirds which would be 33.333.... B and D are 333.3% and 330% shaded because 1 fully shaded model is 100%.
Which expression is equivalent to 5 (n - 9)?
A) 5n - 45
B) 5n + 45
C) 5n - 9
D) 5n + 9
Answer:
[tex]A= 5n-45[/tex]
Step-by-step explanation:
Can u gimme brain plz!
25 + (98-7) x4 PLEASE HELP
Answer: The answer is 464
Step-by-step explanation:
Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok
_ Mhart7109
Classify the polynomial by Degree and number of Terms
b^3+2b^2-b^2+3b^2+25
A. Quadratic Polynomial
B. None of the answers apply.
C. Cubic Trinomial
D. Polynomial
Answer:
C) Cubic Trinomial
Step-by-step explanation:
First, we combine like terms to simplify the polynomial. Like terms means having the same variable and exponent.
We get this expression: b^3+4b^2+25
There are 3 terms in this polynomial. Thus, it classifies as a trinomial. And its highest degree is 3, so it’s a cubic trinomial
Jill drove her car for 7 days across the country. She travelled 525 miles. If she continues this pace, how many miles will she have driven after 12 days?
Answer:
900 miles
Step-by-step explanation:
In 7 days she travels 525 miles.
So, in 1 day she travels: 525 ÷ 7 = 75miles
In 12 days she will have driven : 75 × 12 = 900 miles
Step-by-step explanation:
of at 7days Jill drove 525 miles
then she would drive x Miles in 12 days
7d = 525 miles
12 d = (12 ×525)/7
900 miles
Which set of national numbers is arranged from least to greatest?
Answer:
the first one
Step-by-step explanation:
negative . 50 then -.20 1/9 then one
The width of a rectangle is 4n - 4.5 feet and the length is 4.5n + 9 feet. Find the perimeter of the
rectangle.
9514 1404 393
Answer:
17n+9 feet
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of length and width.
P = 2(L +W)
P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)
P = 17n +9
The perimeter of the rectangle is 17n +9 feet.
Please help F + g (1)
9514 1404 393
Answer:
a) -13
b) -22
Step-by-step explanation:
It can be convenient to compute the function values first:
f(1) = 1² -14·1 = -13
g(1) = 1 +8 = 9
Then the compositions are ...
(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4
(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22
Which of the following is true concerning the expression 6x + 3 + x? 6x and 3 are like terms. B 6x and x are like terms. C The simplified form of the expression is 6x + 3. D The simplified form of the expression is 10x.
Answer:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Step-by-step explanation:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Answer:
9 is the answer because it is the answerr
a student earn $16 per day for delivering overnight packages. She is paid $7 per day plus .60 for each package delivered. How many more deliveries mush she must make each day to increase her earnings to $28?
9514 1404 393
Answer:
20 more deliveries
Step-by-step explanation:
The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...
$12/($0.60/pkg) = 20 pkgs
more each day.
If the numerator of a fraction is increased by 3, the fraction becomes 3/4.If the denominator is decreased by 7,the fraction becomes 1. Determine the original fraction.
Answer:
9/16
Step-by-step explanation:
Let the original fraction be
x/y
Then
x+3/y=3/4
and
x/y-7=1
Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides
x=y-7
Substitute this into 1st fraction:
x-7+3/y=3/4
Now we can solve this for y: cross-multiply --> (Note: y-7+3 = y-4)
4(y-4)=3y
y=16
Sub this back into "x = y-7" to get x
x=16-7=9
Therefore the original fraction is:
9/16
Adam invests £520 into an savings account.
Adam gets 0.5% per year simple interest.
Work out the total interest Adam will get after 5 years.
Answer: 1300 i think
Step-by-step explanation:
Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.
I am very confused about this
Answer:
Area of triangle = 1/2 b×h1/2×22×7 = 77cm^2Area of parallelogram = b×hArea = 22×9= 198cm^2Total area of composite figure77cm^2 + 198cm^2= 275cm^2Answer:
Triangle: 77
Parallelogram: 198
Total: 275
Step-by-step explanation:
The area of a triangle is one half the base times the height.
[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]
The area of a parallelogram is base times height.
[tex]A_{P}=bh=(22)(9)=198[/tex]
The total area is the sum.
77+198=275
-4>k-2 solve the inequality
Answer:
k<-2
Step-by-step explanation:
hope this helps :)
joe has 4/5 of acre of land and wants to sell 2/3 what fraction of an acre does he want to sell
Answer:
The answer is
If all of the land had 100 acres than Joe would want to sell 28 of an acre.
A company produces only one type of light bulbs. The light bulbs are being manufactured two factories: Factory A and Factory B. Factory A produces 10, 000 bulbs every year, while Factory B produces 2, 000. Also 2% of bulbs from Factory A are defective while 1% of bulbs from Factory B are. After production all bulbs are brought to the same facility and shipped to retail stores.
Required:
a. What is the probability that a bulb bought from a store is defective?
b. Given that the bulb is defective, what is the probability that it was produced by Factory A?
c. Given that the bulb is functional, what is the probability that it was produced by Factory A?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given values:
[tex]P(\frac{D}{A})=0.02 \\\\P(\frac{D}{B})=0.01\\\\P(A)=\frac{10,000}{10,000+2000} =\frac{10}{12} =\frac{5}{6} \\\\P(B)=\frac{1}{6}\\\\[/tex]
For point a:
[tex]P(D) =p(D\cap A) +P(D \cap B)\\\\[/tex]
[tex]=P(\frac{D}{A}) \times P(A) + P(\frac{D}{B}) \times P(B)\\\\=0.02 \times \frac{5}{6} + 0.01 \times \frac{1}{6}\\\\=\frac{0.1}{6} + \frac{0.01}{6}\\\\=\frac{0.1+0.01}{6} \\\\=\frac{0.11}{6} \\\\=\frac{11}{600} \\\\=0.0183[/tex]
For point b:
[tex]P(\frac{A}{D})= \frac{P(\frac{D}{A}) \times P(A)}{P(D)}\\\\[/tex]
[tex]= \frac{0.02 \times \frac{5}{6}}{\frac{11}{600}}\\\\= \frac{0.02 \times \frac{5}{6}}{0.0183333333}\\\\= \frac{0.02 \times 0.833333333}{0.0183333333}\\\\= \frac{0.0166666667}{0.018}\\\\=0.9090 \approx 0.0991[/tex]
For point c:
[tex]P(\frac{A}{D^C})=\frac{P(\frac{D^c}{A}) \times P(A)}{P(D^c)}\\\\[/tex]
[tex]= \frac{1-0.02 \times \frac{5}{6}}{1- \frac{11}{600}}\\\\= \frac{0.98 \times \frac{5}{6}}{0.98}\\\\=\frac{5}{6}\\\\=0.833[/tex]
Which of the following is true about the function below?
Answer:
The answer is D.
because like a population has a standard deviation of 11 what is the approximate standard error of the mean for a sample size of 150
Answer:?
Step-by-step explanation:
Help, will give brainiest!
Use the drop-down menu to complete the statement.
The quotient of 3 divided by 3/4 is ___
(1) 3
(2) 4
(3) 9
(4) 12
Answer:
The answer is (2) 4
Step-by-step explanation:
Give brainliest
Here are the first five terms of a number sequence.
45
40
35
30
25
Write down the next two terms of this sequence.
Answer:
40 is surface the answer of I think about it but I will solve the sum and will give the ans