Step-by-step explanation:
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
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Alex is 1.3 meters tall. His brother, Raul, is 0.6 times as tall as Alex. How tall is Raul?
Answer:
.78
Step-by-step explanation:
1.3 x0.6 is .78. easy peasy
150 miles in 6 gallons to the nearest hundredth
Answer:
do you have any photo reference to the actual question at this time?
Solve the inequality 4(x+3) less than of equal to 41
Answer:
x= 1,2,3,4,5,6,7,8,9,10 so simpal
An unknown polynomial is added to the expression -3x³ + 2x – 5 and the resulting sum is 4x³ + 7x² – 3. What is the unknown polynomial?
The first polynomial is:
-3x³ + 2x – 5
Then we add a polynomial p(x) and we get:
-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3
We will find that p(x) = 7x³ + 7x² - 2x + 2
Now let's see how we got it:
Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.
Then we can write:
p(x) = ax³ + bx² + cx + d
Then we have:
-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3
(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) = 4x³ + 7x² – 3
Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:
(-3 + a)x³ = 4x³
bx² = 7x²
(2 + c)x = 0
(-5 + d) = – 3
Now we can remove the variables in all of these equations to get:
(-3 + a) = 4
b = 7
(2 + c) = 0
(-5 + d) = – 3
Now we can solve all of these and find the coefficients of our polynomial p(x).
-3 + a = 4
a = 4 + 3 = 7
a = 7
b = 7
2 + c = 0
c = -2
-5 + d = -3
d = -3 + 5 = 2
d = 2
Then we have:
p(x) = 7x³ + 7x² - 2x + 2
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give in example of pemdas plz!
Answer:
Examples of PEMDAS: When we first learn math, equations only have one operation. We either add, subtract, multiply, or divide. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9.
Step-by-step explanation:
Answer:
Remember that PEMDAS requires you to solve Multiplication/Division from left to right based on whichever comes first. In this example, when moving from left to right, multiplication comes first so you would first perform 8 x 8 = 64
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What is the value of log, 1257
0 3
O 5
o 15
o 25
A logarithm is just the opposite function of exponentiation. The common logarithm is called the natural logarithm and the natural logarithm is called the base e logarithm. The value of log, 1257 is 3. The correct option is A.
What is logarithm?In mathematics, logarithms are defined as the another way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm can be defined as the power to which a number should be raised to obtain some other values.
There are two types of logarithms, they are common and natural logarithm. The common logarithm defines how many times we have to multiply the number 10 to get the required output whereas the natural logarithm shows how many times we have to multiply 'e' to get the required output.
Here the value of log 1257 = 3.099 ≈ 3
Thus the correct option is A.
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Is this right besties ? I’m doing a package because my schools shutdown :((
Answer:
Everything is good but the 7th one. it shold be 6.009x10^-3
Pls help I am giving brainliest
Answer:
17.3
Step-by-step explanation:
let required number is x
100% of x =7.3
1% of x =7.3/100
1% of x= 0.073
237% of x=0.073*237
237% of x=17.3
Free fall on a small airless planet. A rock released from rest to fall on a small airless planet falls y = gt^2 m in t sec, g a constant. Suppose that the rock falls to the bottom of a crevasse 20m below and reaches the bottom in 4 sec. A) Find the value of g. B) Find the average velocity for the fall. C) With what velocity did the rock hit bottom?
If a rock released with an initial velocity = u
If it falls under gravity 'g' for 't' seconds,
Expression to find the distance covered will be,
[tex]y=ut+\frac{1}{2}t^2[/tex]
If the initial velocity is zero expression for the distance covered will be,
[tex]y=\frac{1}{2}gt^2[/tex]
Here, g = Gravitational pull Or acceleration due to gravity
A). If the distance covered 'y' = 20 m
And t = 4 seconds
By substituting these values in the expression,
[tex]20=\frac{1}{2}g(4)^2[/tex]
[tex]20=8g[/tex]
[tex]g=2.5[/tex] m per sec square
B). Average velocity of a free falling body = [tex]\frac{\text{Initial velocity}+\text{Final velocity}}{2}[/tex]
Initial velocity of the object = 0
Final velocity = [tex]g\times t[/tex]
= [tex]2.5\times 4[/tex]
= [tex]10[/tex] meter per sec.
Therefore, average velocity = [tex]\frac{0+10}{2}[/tex]
= [tex]5[/tex] meter per second
C). Since, the rock hits the bottom after [tex]4[/tex] seconds,
Velocity with which the rock will hit the ground [tex]=gt[/tex]
[tex]=10[/tex] m per sec.
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25x^2-36x+9
with x=2
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
Step-by-step explanation:
25(2)^2-36(2)+9
25(4)-72+9
100-72+9
28+9
37
what is -3 5/6x-4/7?
Answer:
35
x
6
−
4
7
35x - 4
6 7
Step-by-step explanation:
Evaluate each expression for the given values of m and n. 2m - 4n(3m – 4) if m= 1 and n= -3 (2)
Answer: -22
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
m = 1
n = -3 (2) = -6
Given expression
2m - 4n (3m - 4)
Substitute values into the expression
=2(1) - 4(-6) (3(1) - 4)
Simplify by multiplication
=2 + 24 (3 - 4)
Simplify values in the parentheses
=2 + 24 (-1)
Simplify by multiplication
=2 - 24
Simplify by subtraction
=[tex]\boxed{-22}[/tex]
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What are the potential solutions of In(x2 - 25) = 0?
Ox= 113
O x= 15
x=+26
Ox=+10
Answer:
e^0=x^2-25=1
x^2=26
x=sqrt(26), pos and neg
The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is ln(x²-25)=0
x²-25>0
(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))
x>-5 and x>5
Now, e⁰=x²-25
1=x²-25
x²=26
x=±√26
Therefore, option C is the correct answer.
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Margot draws a shape with one pair of parallel lines that are four centimeter apart she then flips the shape across a horizontal line how many pairs of parallel lines are on the flipped shape?
Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.
We can define two parallel lines as two lines that never meet.
And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:
(x, - y)
And all the reflections across horizontal lines will only affect the y-value of the points.
Now, particularly, we have two vertical and parallel lines.
Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.
From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.
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Multi step equations
Answer:
Step-by-step explanation:
1) -28r +14=-12r-2
-16r=-16
r=1
~~~~~~~~~~~~~~~~
2) -35x+5=6x-36
-41x=-41
x=1
It's geometry please help me
Answer:
x=13
Step-by-step explanation:
C is the midpoint of line BD, BC=CD. 6x-16=4x+10, x=13
(1/2)^x=2^-x could anyone tell me why
Answer:
Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4
Step-by-step explanation:
The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x .
A quadrilateral with interior angles marked as x degrees, 150 degrees, 77 degrees, and 48 degrees.
The equation is
360= .
x=
Answer:
Step-by-step explanation:
The value of the angle x is 85°
The sum of angles of a quadrilateral = 360°
This means that given a quadrilateral with angles, A, B, C, D ;
(A + B + C + D) = 360°
Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)
The value of x will be obtained thus :
(x + 150 + 77 + 48) = 360
150 + 77 + 48 + x = 360
275 + x = 360
x = 360 - 275
x = 85°
Hence, the value of x is 85°
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Part A Which features describe the graph? Select all that apply. A domain: (-3, 4] B. range: (-3, 3] o C. increasing: (-3. -1) D. decreasing: (-1, 4) E positive: (-2, 2) F. negative: (-3.-2). (2, 4] Part B What is the average rate of change over the interval [-2. O for the graph in Part A? average rate of change =
Answer:
C, F
Step-by-step explanation:
Solve the following equation for F. Be sure to take into account whether a letter is capitalized or not.
F /H =M .
Answer:
I don't know of it should be more complicated than that
what are surds? how many types of surds are there?
When we can't simplify a root under variable further or we can't remove the root sign that is called surd.It may be a square root or cube root or n th root .They are especially called irrational numbers.
Ex:-
[tex]\\ \rm\longmapsto \sqrt{9}=3[/tex]Hence its not a surd.
but
.
[tex]\\ \rm\longmapsto \sqrt{3},\sqrt{7}[/tex]Are surds.
There are six types of surds such as :
Simple surdsPure SurdsSimilar SurdsMixed SurdsCompound SurdsBinomial Surds.Part F Think about graphing the relationship between the length of the TV screen and the price. What do you predict the graph will look like?
Answer:
The ratios are not equivalent, so the relationship is not proportional. Therefore, the graph will not be a straight line passing through the origin.
Step-by-step explanation:
Since the ratios of the relationship between length of TV screen and price are not proportional, the graph would not be a proportional graph.
What is a Proportional Graph?A proportional graph is a straight line graph that passes through the origin (0, 0).
If a relationship has a proportional ratio, then the graph that represents the relationship would be a proportional graph.
Therefore, since the ratios of the relationship between length of TV screen and price are not proportional, the graph would not be a proportional graph.
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Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
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2/1 rounded to the nearest thousandth
Answer:
when you divide 2by1you get 2so you can't really round off
What is the answer plz answer this one
Answer:
it would be the 1st option or in other words the one on the top left
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)
Answer:
4.2
Step-by-step explanation:
d=sqrt[(x1-x2)^2+(y1-y2)^2]
d=sqrt[(5-8)^2+(-5+8)^2]
d=sqrt[(-3)^2+(3)^2]
d=sqrt[9+9]
sqrt18=4.24
Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation.
y = 3x+5
What is the slope?
A. The slope is
B. The slope is undefined.
Answer:
A
Step-by-step explanation:
The slope is the coefficient of the x term, that is 3
Find the value of x that will make L||M.
Answer:
Corresponding angles are equal
8x + 2 = 7x + 9
8x - 7x = 9 - 2
x = 7
How to do 6x times 1/x
Answer:
6
Step-by-step explanation:
6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so
= 6/1 * 1/1 = 6
If A/B and C/D
are rational expressions, then
AxC/BxD = AxD/BxC
A. True
B. False
Answer:
True
Step-by-step explanation:
If A/B and C/D are rational expression then
A/B*C/D
Or
A/B*C/D=A/C*B/D
It means that if A/B and C/D are rational expression then their product with each other will also be a rational expression.