9514 1404 393
Answer:
x(4-x)no factorization. x² -8y³(x +18)(x -3)(2xy +5)(3x -5)Step-by-step explanation:
Factoring is taking apart products. It helps immensely if you are familiar with how products are formed. That is, it helps to be familiar with your multiplication tables and the rules of divisibility. It also helps to have thorough understanding of the distributive property and the forms produced by the multiplication of binomials.
The first step is to look for any factors that are common to all of the terms you are factoring. Next steps include ...
look for any special forms (square of binomial, difference of squares, sum or difference of cubes)see if factoring by grouping can work.__
1.1.1 4x -x^2
There is only one constant, so no constant factors. The variable x appears in all terms, with a lowest power of 1, so x^1 = x is a factor.
= x(4 -x) . . . . . . . cannot be factored further
__
1.1.2 x² -8y³ . . . . we assume this is the intended expression. (It helps to use appropriate (and consistent) exponent presentation: x^2 -8y^3, or x² -8y³.
There are no common numerical factors, no common variable factors, and the form is not the difference of squares or cubes. This expression cannot be factored.
__
1.1.3 x² +15x -54
This is a trinomial in a single variable (x), so may be factorable as the product of two binomials. The product of binomial factors will have the form ...
(x -p)(x +q) = x² +(q-p)x -pq
This means we are looking for two factors of 54 that have a difference of 15. Here is where your familiarity with numerical factoring is helpful.
54 = 54×1 = 27×2 = 18×3 = 9×6
Differences of the factors are 54-1=53, 25, 15, 3. The factor pair we're looking for is 18×3. Comparing that to the above form, we see that q=18 and p=3, so the factorization is ...
= (x -3)(x +18)
__
1.1.4 6x²y -10xy +15x -25
There are no numerical or variable factors that are seen in all terms. However, we notice that pairs of terms have common factors. Factoring those out gives ...
= (2xy)(3x -5) +5(3x -5)
At this point, we notice that (3x -5) is a factor of both of these terms, so we can factor it out. This gives the complete factorization ...
= (2xy +5)(3x -5)
_____
Additional comment
Many methods are promoted for factoring trinomials. It is helpful to understand that the product of factors looks like ...
(ax +b)(cx +d) = acx² +(ad+bc)x +bd
That is to say, the product of the x² coefficient and the constant term (ac·bd) will have factors (ad, bc) that have a sum equal to the linear term coefficient. Once you realize this, finding the factorization is not so difficult. You look at the factor pairs of abcd in the same way we looked at factor pairs of -54 in problem 1.1.3 above.
please help!!!
i would really apreciate it
Answer:
it should be the graph on the bottom right
Step-by-step explanation:
The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")
The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.
after selling 8 quilts her income will be higher than her costs
(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).
with all of these reasons combined the correct should be the one on the bottom right
Help me pleaseeeeeeeeeee
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: True!
Explanation:
It is outside the triangle
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Evaluate the function for the indicated values of x.
f(x)=
2x + 1 x 3-5
x? -5
3- X x 25
f(-10) =
f(2)=
f(-5) =
f(-1) =
f(8) =
DONE
Answer:
f(2)
Step-by-step explanation:
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36
Determine the odds of drawing two aces if two cards are removed from
regular deck.
Answer:
The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221
Step-by-step explanation:
A jar holds 475 milliliters of honey. How many liters will 27 jars hold?
O 12.825 liters
O 1,282 liters
O 12,825 liters
O 128,250 liters
9514 1404 393
Answer:
(a) 12.825 liters
Step-by-step explanation:
"Milli-" is the SI prefix for 1/1000. So, 475 milliliters is 475/1000 liters, or 0.475 liters.
27 of these will be a volume of ...
(27)(0.475 L) = 12.825 L . . . . matches the first choice
Amir bought a camera 5 year ago for RM1500. He plans to sell his camera at a price of RM1800. What percentage of the profit or loss?
Answer:
20% profit
Step-by-step explanation:
Hope this helps
What is the equation for g(x)=
Answer:
g(x) = -(x + 3)^2 - 1
Step-by-step explanation:
g(x) has a peak, and goes down on both sides, it needs a negative sign. From the vertex, when x increases by 1, y decreases by 1, and when x increases by another 1, y decreases by 3. a = -1. The function is 3 units to the left and 1 unit down. That will make h = -3 and k = -1 to the function g(x) = a(x - h)^2 + k.
Plug the values in to get the answer.
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answer:
keiko- x
imelda- x+ 36
Sarah- x- 38
Step-by-step explanation:
keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.SOMEONE PLS HELP ASAP
Answer:
a. (2,2) (4,4) (6,6)
b. start on point (2,2) and go up 2 and over 2 or (x·1, y·1)
c. Ever y-coordinate on the y-axis equals 17.
Can anyone help! I can’t figure out the answer.
what
is the quistion cause can't nobody see that
Joelle wears a uniform to school. These are the uniform pieces she has:
Skirts Tops Sweaters
tan white blue
blue
red
white
brown blue
Each day she wears a skirt, a top, and a sweater.
How many combinations of one skirt, one top, and one sweater can she make?
A. 3
B. 8
The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line
Therefore as per the given situation, the option a is correct
Hence, the rest of the given options would be wrong
Pattern A follows the rule "subtract 3" and Pattern B follows the rule "subtract 4." Pattern A 20 17 14 11 8 Pattern B 24 20 16 12 8 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. (17, 20) (20, 24) (12, 11) (8, 8) (14, 20) (20, 16)
Answer:
(20,24) (17,20) and (8,8)
Hope this helps
Step-by-step explanation:
A=?
C=?
1= 57, find angle 4
3= 63 find angle 2
2= 2x+6 and 3=3x-1 find x
AD=6cm and BD=12cm find BC
Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
Compare the ratio of the longest side to the shortest side.
The ratio is
(Type the ratio as a simplified fraction.)
Enter your answer in the answer box
profesor de Educación Física Oriente y occidente hacer Cada día los siguientes recorridos lunes 5,12 y kilómetros más de 6 koma 23 kilómetros miércoles 7,0 2 km y jueves 12,0 7 km y el viernes 15,0 1 kilómetros Cuántos kilómetros recorre cada estudiante a final de la semana datos operacion
Answer:
ask in English then only I will answer
[tex]533 {?}^{2} \times \frac{?}{?} [/tex]
Answer:
53
Step-by-step explanation:
jddhhevehevevegejwkwveehjebebsjsbs
Find the next three terms of the arithmetic sequence.
a) 9, 12, 15, ... b) 288, 252, 216, ...
Answer:
a) 18,21,24
b)180, 144, 108
Step-by-step explanation:
For a) The pattern seems to be adding up by three, so you do that to find the next three terms: 18, 21, 24
For b) The pattern is subtracting by 36, so subtract by 36 three more times to get: 180, 144, and 108
Sorry if I made any mistakes, currently on mobile.
For brainliest please help!
Answer:
I think its y-x, if y >x.
Step-by-step explanation:
Let R be the region in the first quadrant bounded by the graph of y=x, the vertical line x = 9, and the x-axis, as shown in the figure.
a) Write, then evaluate (show all of your work), an integral expression that gives the volume of the solid generated when R is rotated about the x-axis.
b) Write, then evaluate (show all of your work), an integral expression that gives the volume of the solid generated when R is rotated about the vertical line x = 9.
The volume of the solid generated when R is revolved about the
x
-axis is
848
15
π
or approximately
177.6
.
The area of a circle with a radius equal to
8
−
x
3
2
at any given
x
is
π
⋅
(
8
−
x
3
2
)
2
.
= 848
15
π
≈
177.6
Identify the coefficient and the exponent for each term of 2x^5– 3x. The coefficients are 5 and 1. The exponents are 2 and - 3. The coefficients are 2 and 3. The exponents are 5 and 0. O The coefficients are 2 and - 3. The exponents are 5 and 0. The coefficients are 2 and - 3. The exponents are 5 and 1.
Answer:
The coefficients are 2 and -3
The exponents are 5 and 1
Step-by-step explanation:
Given
[tex]2x^5 - 3x[/tex]
Required
The coefficient and exponent
First, identify the terms.
The terms are: [tex]2x^5[/tex] and [tex]- 3x[/tex]
The coefficient are the numbers written before the variables
The exponents are the power of the variables
So; for : [tex]2x^5[/tex]
[tex]Coefficient = 2[/tex]
[tex]Exponent = 5[/tex]
For [tex]- 3x[/tex]
[tex]Coefficient = -3[/tex]
[tex]Exponent = 1[/tex]
A quantity with an initial value of 600 grows continuously at a rate of 0.15% per day.
What is the value of the quantity after 73 days, to the nearest hundredth?
Answer:
Step-by-step explanation:
1,0015^73*600=669,38
What is the graph of the function f(x) = the quantity of x squared plus 4 x minus 12, all over x plus 6 ? (1 point)
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [0, 2]. There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is continuous on [0, 2] but not differentiable on (0, 2). Yes, f is continuous and differentiable on , so it is continuous on [0, 2] and differentiable on (0, 2) . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b) [tex]c =0.51995[/tex]
Step-by-step explanation:
Given
[tex]f(x) = e^{-4x};\ [0,2][/tex]
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
[tex]f(x) = e^{-4x};\ [0,2][/tex]
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
[tex]f'(c) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex][a,b] = [0,2][/tex]
So, we have:
[tex]f'(c) = \frac{f(2) - f(0)}{2 - 0}[/tex]
[tex]f'(c) = \frac{f(2) - f(0)}{2}[/tex]
Calculate f(2) and f(0)
[tex]f(x) = e^{-4x}[/tex]
So:
[tex]f(2) = e^{-4*2} = e^{-8} = 0.00033546262[/tex]
[tex]f(0) = e^{-4*0} = e^{0} = 1[/tex]
This gives:
[tex]f'(c) = \frac{0.00033546262 - 1}{2}[/tex]
[tex]f'(c) = \frac{-0.99966453738}{2}[/tex]
[tex]f'(c) = -0.4998[/tex]
Note that:
[tex]f'(x) = (e^{-4x})'[/tex]
[tex]f'(x) = -4e^{-4x}[/tex]
This implies that:
[tex]f'(c) = -4e^{-4c}[/tex]
So, we have:
[tex]f'(c) = -0.4998[/tex]
[tex]-4e^{-4c} =-0.4998[/tex]
Divide both sides by -4
[tex]e^{-4c} =\frac{-0.4998}{-4}[/tex]
[tex]e^{-4c} =0.12495[/tex]
Take natural logarithm of both sides
[tex]\ln(e^{-4c}) =\ln(0.12495)[/tex]
[tex]\ln(e^{-4c}) =-2.0798[/tex]
Apply law of natural logarithm
[tex]\ln(e^{ax}) =ax[/tex]
So:
[tex]-4c =-2.0798[/tex]
Solve for c
[tex]c =\frac{-2.0798}{-4}[/tex]
[tex]c =0.51995[/tex]
Which linear function represents the line given by the point-slope equation y + 7 = (x + 6)?
Can someone please explain the answer step by step pls.
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
What is the area of a circle that has a circumference of 31.4 feet, also I need to show my work
Answer:
78.46020384
Step-by-step explanation:
A=C^2/4π
A= 31.4^2/4π
A = 78.46020384
PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)
(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
Answer:
x² - 12x + 36
factored: (x - 6)(x - 6)
What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3
Answer: C
Step-by-step explanation:
3 x ( 15 - 11 ) + 6= ?
help help help
Answer:
12x + 6
Step-by-step explanation: