Answer:
32 + 14 = 46
Step-by-step explanation:
Nothing much to explain here, just normal addition..
Would anyone like to help me
PLEASE HELP!! please do all steps! i’ll mark as brainliest!!!
Answer the following questions using what you've learned from this unit. Write your
responses in the space provided.
1. Factor the polynomial. (2 polnts)
-3x4 - 9x3 + 15x2
2. Use the grouping method to factor the polynomial below completely. (4 points)
10x3 - 35x2 + 6x - 21
Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)
Step-by-step explanation:
(1) Find the greatest common factor - 3x^2. Simplify as much as possible.
(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).
1. The required factor of the polynomial is
(-3x²)(x²+3x-5).
2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).
What is a polynomial?"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."
What is factorization of a polynomial?"The factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.
There are six different methods to factorizing polynomials. One of those methods is factorization of a polynomial by grouping method."
1. The given polynomial is
[tex]-3x^{4} - 9x^{3} + 15x^{2} \\= - 3x^{2}(x^{2}+3x-5)\\[/tex]
Therefore, by factorizing the given polynomial, we get:
[tex]- 3x^{2}(x^{2}+3x-5)[/tex].
2. The given polynomial is
[tex]10x^{3}-35x^{2} +6x-21[/tex]
We need to factorize it using grouping method.
Therefore,
[tex]10x^{3}-35x^{2} +6x-21\\= 5x^{2}(2x-7)+3(2x-7)\\= (5x^{2} +3)(2x-7)[/tex]
Hence,
1. The required factor of the polynomial is
(-3x²)(x²+3x-5).
2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).
Learn more about the factorization of a polynomial here: https://brainly.com/question/10499871
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Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters. What is the length of Line segment M N? 58 cm 75 cm 88 cm 116 cm
Answer:
A
Step-by-step explanation:
Edge
The measure of MN is equal to 58cm, the correct option is A.
What is a Triangle?A triangle is a polygon with three sides, vertices and angle.
Triangle A B C is cut by line segment M N.
such that,
A M = M B = 88 centimeter
CN =NB = 75 centimeter
AC = 116 centimeter
If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.
MN = (1/2) AC
MN = (1/2) * 116
MN = 58 centimeter
To know more about Triangle
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Divide 4a^2 -12ab + 9b^2 by 4a^2 -9b^2
Answer:
4a(a+b−c)Step-by-step explanation:
4a
2
+4ab−4ca
The common factor =2×2×a
Thus, 4a
2
+4ab−4ca
=4a(a+b−c)
3. El grupo de Mariana se organizó en seis equipos. Cada equi-
po cumplirá con tres comisiones al mismo tiempo (aseo, pun-
tualidad y orden) durante una semana. Los equipos irán par-
ticipando en orden numérico durante el primer cuatrimestre
del ciclo escolar; los turnos se iniciarán la segunda semana de
clases. Mariana es integrante del equipo 4; ¿en qué periodos
le tocará participar? ¿Todos los equipos participarán el mismo
número de veces? ¿Por qué?
Answer:
¿en qué periodos le tocará participar?
El equipo cuatro participa en el periodo 5 - 11 - 17
¿Todos los equipos participarán el mismo número de veces?
Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces
¿Por qué?
Cuatrimestre. = 120 dias
Numero de semanas = 120/ 7 17,1
17 semanas completas 3 dias
No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.
Son 6 equipos para participar todos serian por lo menos 17 semanas 1 dia.
Step-by-step explanation:
Cuatrimestre. = 120 dias
Numero de semanas = 120/ 7 17,1
17 semanas completas 3 dias
No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.
Son seis equipos. 17 ( 16,3) semanas / 6
Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces
Semana 1 2 3 4 5 6
Equipos
1
2 X
3 X
4 X
5 X
6 X
7 X
8 X
9 X
10 X
11 X
12 X
13 X
14 X
15 X
16 X
17 X
18 X
A pyramid has cross-sectional shapes taken parallel to its base that are___ to one another
Answer:
The fill in the blank is the word similar.
Step-by-step explanation:
A pyramid has a cross-sectional shapes, taken parallel to its base, that are similar to one another.
When we do the cross-section of a pyramid parallel to its base, the cross-section formed will be in the same shape like the base.
Whenever a cross section is done parallel to the base of any pyramid, the resulting shape will be same like the base. As we move up in the pyramid and cross section it, the shape formed will be like the base but with smaller dimensions. But the shape will be the same as the base.
Answer: Similar
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-6)
73°
57°
Answer:
14°
Step-by-step explanation:
Sum of angles is 180°
57 + 73 + (4x - 6) = 180
130 + 4x - 6 = 180
4x = 180 - 130 + 6
4x = 56
x = 14°
write a congruence statement for each pair of congruent figures
Answer:
Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation: did it help? plz like if did
2. Rachel makes cranberry almond cookies. The number of cups of cranberries and the number of cups of almonds are shown in the table below. What is the ratio of cups of cranberries to cups of almonds?
Answer:
Step-by-step explanation:
By 2 for the first one. And for 2 they skip counting by 6
If g(x) is the inverse of f(x) and f (x) = 4 x + 12, what is g(x)?
Answer:
[tex]let \: the \: inverse \: of \: f(x) \: be \: m \\ m = {f(x)}^{ - 1} \\ m = {(4x + 12)}^{ - 1} \\ m = \frac{1}{(4x + 12)} \\ m(4x + 12) = 1 \\ 4x = \frac{1}{m} - 12 \\ x = \frac{1}{4m} - 3 \\ therefore \\ g(x) = \frac{1}{4x} - 3[/tex]
Answer:
g(x) = 1/4 x -3
Step-by-step explanation:
f (x) = 4 x + 12
g(x) = f⁻¹(x)
step 1: re-write as linear equation y = 4x+12
step 2: swap x and y x = 4y + 12
step 3: solve y 4y = x - 12 y = 1/4 x -3
step 4: inverse notation: f⁻¹(x) = 1/4 x - 3 i.e. g(x) = 1/4 x -3
Solve the inequality for u. 7+u>-10
Answer:
Answer and steps in the pic
Step-by-step explanation:
u > -17
need the answer help
Answer:
Both expression equals 5 when substituting 2 for x, because the expressions are equivalent.
Step-by-step explanation:
Given the expressions:
(1/2)x + 4
x + 6 - (1/2)x - 2
Substituting 2 for x in the equation :
(1/2)x + 4
x = 5
(1/2)2 + 4
2/2 + 4
1 + 4
= 5
x + 6 - (1/2)x - 2
Substituting 2 for x
2 + 6 - (1/2)2 - 2
8 - 2/2 - 2
8 - 1 - 2
= 5
51) Write the equation of the line passing through (-2, 5) and perpendicular x + 3y = 15.
Answer: plz mark me brainliest
Step-by-step explanation:
I need points to ask a question
Best and correct answer gets BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)
Only B goes up 4 and over 3 (has the slope of 4/3)
Answer: B
39. If the letters A, B, C, D, E, F represent the numbers 4 to 9 in some
order, and
A + C = D
A + D = 2B
C + E = 2F
then what number does F represent?
Answer:
8????? I dont really know.....
What input is NOT allowed for f(x)
4/-X + 1
Answer:
x ≠ 1
Step-by-step explanation:
If 1 is used, this will happen:
f(x) = 4/-(1) + 1
f(x) = 4/-1 + 1
f(x) = 4/0 = Undefined
Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)
Answer:
negative 2
Step-by-step explanation:
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
True
Answer:
False
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 6
Step 2: Write Function
Substitute into general form.
y = 2x + 6
Step 3: Compare
2y = 6x does not equal y = 2x + 6
The price of an item has been reduced by 10%. The original price was $21.
Use the ALEKS calculator to find the price of the item now.
Answer:
$18.90
Step-by-step explanation:
Multiply the original price by the percentage
$21 x 10% = $2.10
You then subtract this from the original to get the discounted price
$21 - $2.10 = $18.90
Find the greatest common factor of 90, and 135
Answer:
45
Step-by-step explanation:
Do prime factorization and multiply the factors the two numbers have in common.
PLEASE HELP!!!!!
Which of the following is not an exponential function?
Answer:
g(x)=x3
Step-by-step explanation:
g(x)=x3 is not an exponential function
The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.
When d=6, T=5
Find the value of T when d=3
Input note: give your answer correct to 2 decimal place.
Answer:
[tex]T = 3.54[/tex]
Step-by-step explanation:
Given
Direct Variation of T to [tex]\sqrt d[/tex]
[tex]d =6;\ when\ T = 5[/tex]
Required
Determine T when d = 3
The variation can be represented as:
[tex]T\ \alpha\ \sqrt d[/tex]
Convert to equation
[tex]T = k\sqrt d[/tex]
[tex]d =6;\ when\ T = 5[/tex]; so we have:
[tex]5 = k * \sqrt 6[/tex]
Make k the subject:
[tex]k = \frac{5}{\sqrt 6}[/tex]
To solve for T when d = 3.
Substitute 3 for d and [tex]k = \frac{5}{\sqrt 6}[/tex] in [tex]T = k\sqrt d[/tex]
[tex]T = \frac{5}{\sqrt 6} * \sqrt{3}[/tex]
[tex]T = \frac{5\sqrt{3}}{\sqrt 6}[/tex]
[tex]T = \frac{5 * 1.7321}{2.4495}[/tex]
[tex]T = \frac{8.6605}{2.4495}[/tex]
[tex]T = 3.5356[/tex]
[tex]T = 3.54[/tex] -- approximated
69+420 what is the ansewer
Answer:
489
Step-by-step explanation:
Answer:
the answer is 489 I hope it helps.
2(x+3)=x - 4
What is the answer pls
Answer:
X= -10
Step-by-step explanation:
This is the answer wait I will show u the steps
A grocery sells bag of 6 oranges for 4.38 what is the unit cost on the double number line below fill in the given values then use multiplication it division to find the missing Value
Answer:
$1.37 unit rate
*this answer was rounded*
Step-by-step explanation:
Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have at least 6 correct answers of true?
Find x - y subtracted from 0.
a. -x+y
b. -y-x
c. x-y
{6x+6y=18
{2x-6y=-10
Answer:
x = 1, y = 2
Step-by-step explanation:
this system is set up nicely to just add because then the y-value will be eliminated and you will have:
8x = 8
x = 1
get y value: 2(1) - 6y = -10
2 - 6y = -10
-6y = -12
y = 2
Find the quotient of -4 and -9
What is the simplified base for the function f(x) = 2(7272)?
Answer:
The simplified base is 9Step-by-step explanation:
The question is not quiet correctly displayed, it should be:
f(x) = 2[tex]\sqrt[3]{27^2^x}[/tex]Simplifying:
f(x) = 2[tex]\sqrt[3]{27^2^x}[/tex] = 2[tex]\sqrt[3]{3^3*^2^x}[/tex] = 2(3²ˣ) = 2(9ˣ)f(x) = 2(9ˣ)The simplified base is 9