Step-by-step explanation:
[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]
Expand and simplify (2x−12) ^2
Answer:
[tex]\boxed{4x^{2} - 48x + 144}[/tex]
Step-by-step explanation:
Given expression:
(2x - 12)²To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².
[Where "a and b" are the first and second term in (a - b)²]
[tex]\rightarrowtail (2x - 12)^{2}[/tex]
In this case, the first term of (2x - 12)² is "2x" and the second term is "12".
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]
Now, simplify the expression.
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]
[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]
[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]
ILL GIVE BRAINLIST IF ITS CORRECT PLEASE HELP ASAP!!
Answer:
check the attachment and explanation below
Step-by-step explanation:
Explanation for statement 3 :
Suppose The number of shoppers on Saturday is 100 and the number of shoppers on Sunday is 200
Total number of shoppers = 300
On Saturday :
Q₃ = 70 then 25% of shoppers spent more then $70
then 25 shopper spent more then $70
On Sunday:
M’ = 70 then 50% of shoppers spent more then $70
then 100 shopper spent more then $70
On both days:
(100+ 25) shopper spent more then $70
Then 125 shopper spent more then $70
But 125 is not 75% of 100+200=300
What are the zeros of the function f(x) = x2 + 7x – 18? Enter your answers in the boxes with your greatest answer first. The zeros of f(x) ar AN A/
Answer:
The answer is 2 and (-9)
Step-by-step explanation:
x² + 7x – 18 = 0
x² + 9x – 2x – 18 = 0
x(x + 9) – 2(x + 9) = 0
(x – 2) (x + 9) = 0
x = (2, -9)
Thus, The zeroes of the polynomial is 2 and (-9).
Jerry's return took 2/5 hour longer. How long did his return take? His trip was 1 3/5 hours.
Answer:
It took 4/5 of an hour or 48 minutes
Step-by-step explanation:
please huryyyyyyyyyyyyyyyyyyyyyy!!!!!!!!!!
Answer:
(x-1)^2 + (y-1)^2 = 16
Step-by-step explanation:
center, (h,k) = (1,1) radius = 4
put in standard form for a circle
(x-h)^2 + ( y-k)^2 = r^2
Al and his sister share a pizza cut into six equal pieces.
Ali eats of all the pieces. His sister eats of the remaining pieces.
After both Ali and his sister have eaten, what fraction of the pizza is left?
When both Ali and his sister have eaten, the fraction of the pizza that is left will be 5/12.
How to calculate the fraction?From the complete information, Ali eats 1/3 and his sister eats 1/4 of the pizza. Therefore, the number eaten by Ali will be:
= 1/3 × 6 = 2
The number eaten by the sister will be:
= 1/4 × 6 = 1.5
The remaining fraction will be:
=1 - (2 + 1.5)/6
= 1 - (3.5/6)
= 2.5/6
= 5/12
Learn more about fractions on:
https://brainly.com/question/78672
A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).
Write a subtraction expression for each length OF AB and ABAB:
The equation for the subtraction of length of AB is -3-(-14)
How to calculate the distance between two points:The distance between two points is the measure of the distance covered by an object.
From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:
AB = y2 - y1
AB= -3 - (-14)
AB = 11 units
Hence the equation for the subtraction of length of AB is -3-(-14)
Learn more on distance here: https://brainly.com/question/24775607
2(3x+2)=6x+4 linear equations
Answer:
0 or 6x+4=6x+4 (Technically no slope at all!!)
Step-by-step explanation:
You need to do distributive property and then solve for x!!
meaning the 2(3x+2) has to get distributive property process.
6x+4=6x+4
That shall be equal together!!! (You could stop here!!)
If continue:
6x-6x=4-4
0=0
Help please!
Betty is 5 more than 3 times Jadyn's age. Betty is 41 old.
Write and solve an equation to find Jadyn's age, x
Equation:
Solution: x=
Jadyn is( ) years old.
Answer:
12 years old
Step-by-step explanation:
3x+5=41
3 times a number and 5 more
'more' usually means adding
41-5 =36
36/3 =12
Answer:
Equation: 41 = 3x + 5
x = 12
Step-by-step explanation:
Hello!
Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.
Betty is 5 more than 3 times x. Betty is also 41 years old.
Equation: 41 = 3x + 5
Now we have to solve for x
Solve for x:
41 = 3x + 536 = 3xx = 12
Jadyn is 12 years old.
gary and heather each make potatoes using different recipes the table shows how much potatoes and cheese each person uses.
Answer:
What is the question? Also, your answer looks a bit wrong 1 think t should be 1 oz
Step-by-step explanation:
For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.
Ratio of potatoes to cheese in Gary's recipe = 15/4
Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.
Ratio of potatoes to cheese in Heather's recipe = 10/3
Multiplying with 1.5 in numerator and denominator
Ratio of potatoes to cheese in Heather's recipe = 15/4.5
Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.
Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.
Learn more about ratio here:
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#SPJ2
i need help with this i will give 100 pt
Answer:
1. Where you shop at
2. The tax in the state you live in.
Hope this helps!
Answer:
1. Where you shop at2. The tax in the state you live in.
Step-by-step explanation:
Please i need the answer to this asap!!!
Answer:
They do not pay the same amount. Manuel's family pays more than Amelia's.
Step-by-step explanation:
General:
Child: c
Adult: 4 + c
Senior: 3 + c
Amelia's Family:
Total cost = 3(c) + 2(4 + c)
= 3c + 8 + 2c
= 5c + 8
Manuel's Family:
Total cost: 2(c) + 4 + c + 2(3 + c)
= 2c + 4 + c + 6 + 2c
= 5c + 10
May I please get help?, Thanks.
Let's first try to figure out the whole. Looking at the number line, we can see that the shaded portion of the box goes up to 2 1/3. So, this is our first number.
Then, we need to figure out what 2 1/3 was divided by. This is pretty obvious from the groupings on the box. 2 1/3 was divided by 2/3.
2 1/3 divided by 2/3 = ?
Once again using the box and the groupings, we can see that 2/3 goes into 2 1/3 evenly 3 times, leaving 1/3 left over.
2 1/3 divided by 2/3 = 3 1/2
Correct Answer: A
Hope this helps!
A machine is supposed to fill bags with an average of 19.2 ounces of candy. The manager of the candy factory wants to be sure that the machine does not consistently underfill or overfill the bags . So the manager plans to conduct a significance test at the alpha = 0.10 significance level of H_{0} / mu = 19.2; H a : mu ne19.2 where mu = the true mean amount of candy (in ounces) that the machine put in all bags filled that day. The manager takes a random sample of 75 bags of candy produced that day and weighs each bag. The sample mean weight for the bags of candy was 19.28 ounces and the sample standard deviation was 0.81 ounce.
Find the P-value.
Answer: c. Step-by-step explanation:
which type of function describes her total savings after m months and why?
Answer:
A.
Step-by-step explanation:
I would advise finding the difference between 300 and 200 and 450 and 300:
[tex]300-200=100\\450-300=150[/tex]
We can eliminate C and D since she saves 100 the first month and 150 the second month.
The next step would be to find the increase every month:
[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]
If we would write the increase as a function, we would get:
[tex]y= 1.5x[/tex]
we can check this by substituting values:
[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]
An exponential function looks like this:
[tex]y= a^x[/tex]
A linear function looks like this:
[tex]y=mx+b[/tex]
Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:
[tex]y=1.5x+0\\y=1.5x[/tex]
Therefore our function resembles a linear function more than an exponential function, eliminating answer B.
Is it possible to rewrite any proof that uses the AAS Congruence Theorem as a proof that uses the ASA Congruence Theorem? Explain your reasoning.
Answer: Yes
Step-by-step explanation:
If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.
who can answer this help me bro/sis?
Answer: 144 degrees, 136 degrees
Question 1:
The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.
Question 2:
For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.
49 + 87 = 136
180 - 136 = 44
Then follow the same steps in the first question.
180 - 44 = 136
solve the inequality n − 2 ≥ 4 or n − 2 ≤ 9
Answer:
n = 6 and n = 11
Step-by-step explanation:
The price of a machine depreciates by 10% every
year. If the machine is bought for $18000 and sold
after 3 years, what price will it fetch?
can someone please help me with this question
Answer:
30.4
Step-by-step explanation:
17+28+32+35+59+20+19+33+30+31=304
304/10=30.4
A company made 189,909 stuffed animals in 2009 in 2010 the company made 198,909 stuffed animals which statement correctly compares the number of stuffed animals that were there CHOICES : A 189,909 > 198,909 B 198,909 < 189,909 C 189,909 < 198,909 D 198,909 = 189,909 and can you please tell me what to do and the answer PLEASEEEEEE
The comparison of the number of stuffed animals in both years is an illustration of inequalities
The statement that compares the number of stuffed animals is 189909 < 198909
How to compare the stuffed animals?The given parameters are:
Stuffed animals in 2009 = 189,909Stuffed animals in 2010 = 198,909By comparing the number of stuffed animals in both years, we have:
198909 > 189909 or 189909 < 198909
Hence, the statement that compares the number of stuffed animals is 189909 < 198909
Read more about inequalities at:
https://brainly.com/question/11234618
3,900,000 / 2 please help
Answer: 1,950,000
Step-by-step explanation: Divide by 2 beginning with the first digit which is 3 up to the last zero
6) A projectile's maximum height is shown by the vertex of
the parabola. When does the cannonball reach its maximum
height? Round to the nearest whole number and remember to
include units.
7) What is the maximum height of the cannonball? Round to the
nearest whole number and remember to include units.
8) How long does it take the cannonball to land on the ground?
Round your answer to the nearest whole number and remember
to include your units,
Answer:
See below.
Step-by-step explanation:
I have already answered #6 in a previous post. Kindly find the link to the solution below :
https://brainly.com/question/27363291Although towards the largest whole number, it will be 29 meters#7) Maximum Height
It is given that the path is a parabolaTherefore, the vertex will be the point at which height is maximumVertex = (2.5, 60.025)⇒ Y-value gives the height → 60.025 m⇒ 60 meters (nearest whole number)#8) Time taken to land on the ground
On checking the graph, look for the point at which it intersects the x-axis or when y = 0It is clearly 6⇒ t = 6 secondsgood evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
The degree of the polynomial is
options 2,3,5,6
The leading coefficient of the polynomial is
options 2,3,5,6
Is there a constant term in the polynomial?
options: yes, no.
This expression can be called a blank
expression.
options: monomial, binomial, trinomial
Answer:
2
5
YES
trinomial
Step-by-step explanation:
Given expression: [tex]5x^2+3x+6[/tex]
The degree of the polynomial is the highest exponent = 2
The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5
The constant in the polynomial is the value without a variable, i.e. 6 = YES
This expression can be called a trinomial expression since it is a polynomial with exactly three terms.
Expression given:-
5x^2+3x+6So
Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomiala. Find the mean and the median of this data:9,6,5,3,28,6,4,7.
b. Which better describes the data set, the mean or the median? Explain.
Answer:
a) organized-
3,4,5,6,6,7,9,28
median is 6
68/8=8.5
the mean is 8.5
b) the median, because there is an outlier
What is the surface area of the cube.
A. 409 cm²
B. 2400 cm²
C. 2004 cm²
D. 40 cm²
Surface area
6a^26(20)^2400(6)2400cm^2What is the third angle on a triangle with angels of 30 and 60?
Answer:
90 degrees
Step-by-step explanation:
a triangles angles add up to 180
this means that you can add all the angles together and get 180
you can first add 30 and 60 and then subtract the sum from 180
30 + 60 = 90
180 - 90 = 90
the last angle is 90 degrees
Hey ! there
Answer:
Third angle is equal to 90 degreesStep-by-step explanation:
In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .
For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.
Solution : -
As we know that ,
First angle = 30°Second angle = 60°Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)So ,
[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]
Step 1 : Adding 30° and 60° :
[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]
Step 2 : Subtracting 90° from both sides :
[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]
Henceforth , value of x that is our third angle of triangle is 90° .Verifying : -
Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,
Angle 1 + Angle 2 + Angle 3 = 180°30° + 60° + 90° = 180°90° + 90° = 180°180° = 180°L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep Learning100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.
Drag and drop the measure to correctly match the lights of the images.
P’Q’ ->
A’B’->
M’N->
Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.
Answer:
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
Step-by-step explanation:
A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.
The length of PQ is given as: 2 cm.
The length of line segment AB is given as: 1.5 cm
The length of line segment MN is given as: 3 cm.
Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.
PQ → P'Q'
⇒ Length of P'Q'= 8 cm. ( since 4×2=8)
AB → A'B'
⇒ Length of A'B'= 6 cm. ( since 1.5×4=6)
MN → M'N'
⇒ Length of M'N'= 12 cm. ( since 4×3=12)
Hence,
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
As no points are shown so only steps can be provided to solve
So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)
So new coordinates are (4x,4y)
So
if length of segment was x then after dilation new length is 4x
Calculate the perimeter of the figure
Answer: 76 meters
Step-by-step explanation:
top side left blank = 18 because it is congruent to the bottom
left side blank is 4 + 4 + 4 (right side lengths added)
left side blank is 12
add all side lengths together for perimeter
12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76
76 meters
what is the answer to this question?
Answer:
2.3 inches
Step-by-step explanation:
v = lwh (volume equals length times width times height)
5.52 = 2.4 x 1 x d
multiply l and w, which is 2.4 x 1
5.52 = 2.4 x d
divide 5.52 by 2.4
2.3 = d
Answer: 2.12
Step-by-step explanation: Okay, you first add 2.4+1, which is obviously 3.4.
Then you subtract 5.52 by 3.4.
You should get 2.12.
I hope I helped. <3
