Start with the answer format we want, and work your way toward forming a single fraction like so
[tex]a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\[/tex]
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
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An alternative route:
[tex]\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\[/tex]
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
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Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
Answer:
a = 2
b = -3
Step-by-step explanation:
the secret is seeing that the numerator (top part of the division) contains 2x. that means 2 times the factor of x in the denominator (bottom part of the division).
so, we want to change the numerator that we can simply say the result is 2 and some rest (remainder).
2×(x+2) would be 2x + 4
aha !
and we have 2x+1 up there. so, what had to happen to get from 2x+4 to 2x+1 ? we had to subtract 3. it to get to 2x+4 we have to add 3.
but if we add 3, we need also to subtract 3 to keep the value of the whole expression the same.
therefore we get
(2x+1)/(x+2) = (2x+4)/(x+2) - 3/(x+2) =
= 2×(x+2)/(x+2) - 3/(x+2) = 2 - 3/(x+2)
Given m|n, find the value of x.
t
(x-1)
(8x-14)
Answer:
Submit Answer
attempt 1 out of 2
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Plssssss help
Answer:
x=13
Step-by-step explanation:
These are corresponding angle and corresponding angles are equal
7x-1 = 8x-14
Subtract 7x from each side
7x-1-7x = 8x-14-7x
-1 = x-14
Add 14 to each side
-1+14 = x-14+14
13 =x
247 divided by 7
[tex]247 \div 7[/tex]
Answer:
247/7 = 35 2/7
247/7 = 35 reminder 2
247/7 = 35.2857142857...
Step-by-step explanation:
35
----------------------------------
7 | 247
21
-----------
37
35
---------
2
247/7 = 35 2/7
247/7 = 35 reminder 2
247/7 = 35.2857142857...
A local store sells oranges at a price for 6 fo $9.00. If Alley wants to buy 10 oranges what would the total price be?
Answer:
15$
Step-by-step explanation:
you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps
Distribute and simplify the radicals below
Answer:
i think A is answer you should to do
Based on the graph, how many calories will Colin burn if he walks 3 mi.?
A. 300 calories
B. 550 calories
C. 750 calories
D. 900 calories
Line K has a slope of -3/4. If the slope of of lines that are perpendicular to each other are opposite reciprocals, what is the slope of a line perpendicular to line k?
Answer:
+4/3
Step-by-step explanation:
-3/4 * -1 = 3/4 then flip it to 4/3
Answer:
4/3
Step-by-step explanation:
the slope of a perpedicular line is the inverse times negative one.
1)the inverse of -3/4 is -4/3
2)-4/3*-1 is 4/3
Please help me with this I really need help (ಥ_ಥ)
Answer:
i can help you i know this question
Which set of fractions is ordered from least to greatest?
Answer:
The answer is 7/12 , 6/8 , 4/5 from least to greatest.
Answer
7/12, 6/8, 4/5
Which equation represents the graphed function?
.
10.30
O y=-3+3
O y=3x-3
O y = 3x - 2 / 2
O ya **+3
19T
line l is parallel to line m, if the measure of <6 is 75° what is the measure of <4?
Answer:
∠4 = 75°
Step-by-step explanation:
Alternate interior angles are equal.
∠6 and ∠4 are alternate interior angles.
∠6 = ∠4 = 75°
Step-by-step explanation:
l is parallel to m so angle 4=angle 6=75
HELP PLSSSSS ON KHAN ACADEMY
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
tìm x,y nguyên tố thỏa mãn:y^2-2x^2=1
Answer:
dx/dy = y/2x
Step-by-step explanation:
-4x × dx/dy = -2y..... that's all
Find the volume of a pyramid with a square base, where the perimeter of the base is 16\text{ m}16 m and the height of the pyramid is 16.2\text{ m}16.2 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
86.4 M
Step-by-step explanation:
(4 * 4 * 16.2) / 3
HELP PLEASE!!! The readings on the thermometers are normally distributed with a mean of
0° and a standard deviation of 1º. The value of PIX greater than - 1.96) is
A. 0.9750 B. 0.9970 C. 0.9950 D. 0.9850
Explanation:
You can use a calculator or a Z table here. I'll go with the table option.
Using a Z table, you should find that P(Z < -1.96) = 0.0250
So the remaining area must be 1 - 0.0250 = 0.9750 which represents P(Z > -1.96). This is the same as P(X > -1.96) because X is distributed identical to the Z distribution (mean = 0, std dev = 1).
If you go the calculator route, then it depends on which calculator or computer software you use. If you prefer this route, then let me know which calculator you're using and I'll try to find the correct input to type in for that calculator.
what type of polynomial is p(x)=4x−2x2+3
a. quadratic
b. quartic
c. quintic
d. cubic
Answer:
a. quadratic.
The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.
Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.
To know more about quadratic polynomials follow
https://brainly.com/question/1214333
#SPJ5
help ?? Anyone ?? Pls
The slope of MN is -3 which segment is parallel to MN
Answer:
B and D
Step-by-step explanation:
Find x,cb, and do, in the image below AB is the angle bisector of
**Fill in the blanks !!
x = 9
CB = DB = 61
Step-by-step explanation:
∠CAB = ∠DAB
So, DB = CB {Sides opposite to equal angles are equal}
6x +7 = 3x+ 34
Subtract 7 from both sides.
6x = 3x + 34 - 7
6x = 3x + 27
Subtract 3x from both sides.
6x - 3x = 27
3x = 27
Divide both sides by 3
x = 27/3
x = 9
DB = 6x +7
= 6*9 + 7
= 54 + 7
DB = 61
CB = 3x + 34
= 3*9 + 34
= 27 + 34
CB = 61
What’s the answer? Help
Answer:
$14
Step-by-step explanation:
x = price of scarf 1
y = price of scarf 2
together they cost $25
x + y = 25
one scarf costs $3 more than the other
x = y + 3
now we use that in the first equation again
y+3 + y = 25
2y +3 = 25
2y = 22
y = $11
=> x = y +3 = 11 + 3 = $14
What is the product?
43 .4-3
0)
1)
4)
6)
Answer:
1
Step-by-step explanation:
So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,
3 + (-3) = 0
so the number is now 4^0.
Everything by the power of 0 is equal to 1, so the answer is 1.
Hope this helps !!
-Ketifa
**HELP**
find the angle measures given the figure is a rhombus.
Answer:
m<1=74
m<2=37
Step-by-step explanation:
m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.
37+37+x=180.
The total degree of a triangle is 180.
x=106
Subtract that from 180 to get m<1.
180-106=74
I hope this helps!
Good luck!
Si Martha retira de su cuenta el 10% para los transportes del mes. ¿Cuál es el nuevo saldo de la cuenta?
Respuesta:
0,9 veces
Explicación paso a paso:
Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x
Porcentaje retirado para transporte = 10%
El porcentaje total siempre será del 100%
Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:
Porcentaje total: porcentaje gastado en transporte
(100% - 10%) * monto en cuenta
90% * x = 0,9 * x = 0,9x
Saldo de cuenta nueva = 0.9x
By converting to an exponential expression, solve log3 (x + 9) = 5.
Answer:
[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]
which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2
Which expressions are equivalent to 2^5•2^4? Check all that apply.
Answer:
2⁵×2⁴=2⁹
2⁵×2⁴=2×2×2×2×2×2×2×2×2
2⁵×2⁴=4⁵
2⁵×2⁴=8³×2
Answer:
[see below]
Step-by-step explanation:
Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]
[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]
Other expressions could be:
[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]
[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]
Hope this helps.
The diagonals of a quadrilateral must be bisect each other and be perpendicular to gurarantee that the quadrilateral is a parrelogram
Answer:
False
Step-by-step explanation:
A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.
If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.
Hence the answer is FALSE.
If AABC is reflected across the y-axis, what are the coordinates of A'?
Answer:
-2,-4
Step-by-step explanation:
Need help on this please!!! 10 points!!!
Answer:
I think the answer is the first one ... am i right...
Rex buries 6 bones in the backyard on Monday then he buries more on Tuesday he buried a total of 10 bones how many did he bury Tuesday?
Answer:
Rex buried 4 bones on Tuesday
Step-by-step explanation:
10 - 6 = 4. Simple as that
Find the slope of the line passing through the points (-2, -8) and (9,-8).
slope:
To get that answer, apply the slope formula
m = (y2 - y1)/(x2 - x1)
m = (-8 - (-8))/(9 - (-2))
m = (-8 + 8)/(9 + 2)
m = 0/11
m = 0
Any line with slope 0 is completely horizontal.
As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.
