[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]
As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?
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(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
What is the value of x?
70°
35°
30
Answer:
75 degrees
Step-by-step explanation:
all added up is 180 on every triangle. 70+35=105. 180-105=75
in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?
A) 60cm³
B) 84cm³
C) 72cm³
D) 98cm³
Answer:
84cm cubic.
Step-by-step explanation:
That is how it is done.Hope it will help.
Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are
Answer:
0 ≤ x ≤ 20.
Step-by-step explanation:
-10≤2x – 10 ≤30
2x - 10 ≤ 30
2x ≤ 40
x ≤ 20.
2x - 10 ≥ -10
2x ≥ 0
x ≥ 0.
For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.
For Example:
-10 ≤2x-10 Would be 0 ≤x
Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x
2x-10 ≤30 Would be x ≤20
Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20
So the answer would be 0 ≤ x ≤ 20
Round 383.52 to the nearest tenth.
I just need this one answer from something, I'll give BRAINLY a lot to
Answer:
383.5
Step-by-step explanation:
We want to round 383.52 to the nearest tenth.
The tenth would be the 5.
To round we look at the number after the one we want to round ( so 2 )
If the number is greater than 4 so ( 5, 6, 7, 8 or 9 ) then we raise the number that we want to round but if its less than 5 ( 4, 3, 2, 1 , 0 ) we keep the number as it is.
2 is less than 5 so we keep 5 as it is to get 383.5
Write the equation of the line that has slope 1 half and passes through (4, -1).
Answer:
-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations
y + 1 = 1/2(x - 4) for point slope equations
Step-by-step explanation:
Slope intercept formula is y = mx + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),
-1 = 2 + b
for this we'd subtract -2 to both sides
-1 -2 = +2 - 2 + b
Which then we'd get,
-3 = b
So our Y intercept is -3
To complete the equation we'd finish it with putting everything together,
-1 = 1/2*4 + -3 or -1 =1/2*4 -3
If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,
y + 1 = 1/2(x - 4)
Hope this helps!
there are 63 counters in total. the total number of counters in box A and box B is 36. the difference between box A and C is 10. work out the number of counters in each box
Answer:
A 17, B 19, C 27
Step-by-step explanation:
A + B = 36
A + B + C = 63
63 - 36 = 27, which is C
C - A = 10
27 - A = 10
A = 17
A + B + C = 63
17 + B + 27 = 63
63 - 44 = 19
y=
4
5
x+1
y=
–
3
5
x–6
Answer:
Step-by-step explanation:
Answer:
So, yea i cant get you an exact answer but... i can tell you howto solve it.
Step-by-step explanation:
IN this case you would need to rewrite it so it is on the left side!
Bye friend! :)
you have also wasted your time by going down heere so, YOUR FAULT
Can you prove that 4+2=5+1 is true without solving both sides of equation?
Answer:
Here you go...
Step-by-step explanation:
You have 4, and you have 5.
You have 4+2 and you have 5+1
So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.
Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.
FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).
So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)
4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?
Answer:
Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.
A copy machine makes 32 copies per minute. How long does it take to make 144 copies?
?????
Which numbers are irrational numbers?
Select each correct answer.
Answer
Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.
Step-by-step explanation:
helppppppppp[pppppp[pppppppppp
Answer:A
Step-by-step explanation:i mean that sound logiclity correct
estimate the line of best fit using two points on the line
Answer:
[tex]y=-8x+80[/tex]
Step-by-step explanation:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]
[tex]y=mx+b[/tex]
[tex]y=-8x+b[/tex]
[tex]64=-8(2)+b[/tex]
[tex]64=-16+b[/tex]
[tex]80=b[/tex]
Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]
5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5
Answer:
slope = -4/5 and y-intercept = -9/5
Step-by-step explanation:
make y the subject of the formula
can someone help me. these are due tonight.
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
Find the roots 3x^3-13x^2-26x-24
Thank you
Answer:
31781715561888155919761999
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
To learn more about Pythagoras theorem, click:
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#SPJ7
The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is ....
Answer:
[tex]i = \sqrt{ \frac{p}{r} } [/tex]
The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)
Answer:
rectangle
Step-by-step explanation:
u can use a graph paper
CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?
1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.
Answer:
2
Step-by-step explanation:
I cannot figure this out. Any help would be appreciated.
1. Classify the following polynomials as monomial, binomial trinomial and polynomial:
i) 2x + y
Answer:
binomial
Step-by-step explanation:
a monomial has 1 term
a binomial has 2 terms
a trinomial has 3 terms
2x + y has 2 terms and so is a binomial
A veterinarian is trying to decide which website to use for her office. She gathers information on the customer ratings for each website and constructs a boxplot of each. There are the same number of ratings for each website. The results are shown in the following boxplots:
Based on these boxplots, which of the following is true?
The interquartile range for website A is greater than for website B.
The range for website B is greater than for website A.
The median ratings for the two websites are the same.
The interquartile ranges for the two websites are the same.
NO LINKS TO ANSWERS PLEASE ONLY RESPONSES BELOW QUESTION!!!
Based on the boxplots, it can be stated that the interquartile ranges for the two websites are the same.
This is so for the following reasons:
Website A has a range that goes between 10 and 65, that is, 55 points (65 - 10). Website B has a range that goes between 20 and 75, whose difference is also 55 (75 - 20).Learn more about maths in https://brainly.com/question/25811665
Zero is a solution for which inequality?
4.1m > -16.4
4.1m > 16.4
-4.1m > 16.4
4.1m < -16.4
Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality
Given the following inequality, we are to check which of them has zero as a solution.
For the expression
4.1m >-16.4
m > -16.4/4.1
m > -4
Since 0 is greater than -4, hence zero is a solution to this inequality
Learn more on inequality here: https://brainly.com/question/24372553
Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?
Emika's monthly budget is $60.
A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.
Let Emika's cell phone bill budget be represented with x.
In order to determine his monthly budget, divide $60 by 120%
x = $60 / 120%
x = $60 / 1.20
x = $50
To learn more about percentages, please check: https://brainly.com/question/25764815
A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)
What is the iterative rule for this sequence?
A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1
Answer:
C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
Step-by-step explanation:
Iterative geometric sequence:
[tex]a_n=a_1x^{n-1}[/tex]
Recursive geometric sequence:
[tex]a_n=xa_{n-1}[/tex]
The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:
[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
And so the answer is C.
The forecast for Monday shows an 80% chance of rain. What is the probability that it will not rain on Monday?
Answer:
20%
Step-by-step explanation:
100%-80%=20%
....... .
Determine the equation of the line.
Answer:
Y = 5x - 10
Step-by-step:
Leave a brainliest if this helped!