Answer:
4x + 5 is a polynomial as well as a binomial.
Step-by-step explanation:
The expression 4x + 5 has two monomials 4x and 5 and this makes it a binomial. Now, the second thing to keep in mind is, every binomial is also considered a polynomial as well.
3)Find the square of the following by using formula: i) (6x-3y) ii) (a-1/a)
Step-by-step explanation:
hopefully it makes sense
:)
The sum of 4, five times a number, - 9, and four times a number
Answer:
Unreduced: (4) + (5 • x) + (-9) + (4 • x)
Reduced: 9x – 5
Find the distance between each pair of numbers on the number line; then find the coordinate of their midpoint.
[tex]-\frac{2}{3} and \frac{5}{8}[/tex]
Answer:
d = 1 7/24 or 31/24; midpoint would be half of that,or 31/48
Step-by-step explanation:
Since distance is absolute value, add 2/3 and 5/8 to get the entire distance. Midpoint is that distance divided by 2.
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Answer:
distance: 31/24 = 1 7/24midpoint: -1/48Step-by-step explanation:
The distance between the points is the difference of their coordinates:
5/8 -(-2/3) = 15/24 +16/24 = 31/24 = 1 7/24
__
The midpoint is the average of the two coordinates: half their sum.
(5/8 +(-2/3))/2 = (15/24 -16/24)/2 = (-1/24)(1/2) = -1/48
Solve the simultaneous equations. 15 Points with explanation ❤️
x is equal to 2 or -5
y is equal to 1 or 8
Step-by-step explanation:
first put your first equation in a format of y = x + _
here it will be :
[tex]y = - \times + 3[/tex]
now go and substitute this in your second equation. just like the picture. the pictures explain further
Hello there!
We are given the simultaneous equations:
[tex] \displaystyle \large{ \begin{cases} x + y = 3 \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]
There are many methods to solve the equation but the best way for this problem is Substitution Method.
First, we have to isolate one-degree variable. I will choose the first equation to isolate. We are going to isolate y-variable so we can substitute the first equation in the second.
[tex] \displaystyle \large{ \begin{cases} x + y = 3 \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]
Subtract x both sides for first equation.
[tex] \displaystyle \large{ \begin{cases} x - x+ y = 3 - x \\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]
After isolating y-term, we can finally substitute y = 3-x in the second equation.
[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} - 3(3 - x) = 1 \end{cases}}[/tex]
Expand -3 in. Recall that negative × negative = positive and negative × positive = negative.
[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -9 + 3x= 1 \end{cases}}[/tex]
Notice that the second equation is in quadratic pattern. We are going to convert in the standard form to solve the equation.
Subtract both sides by 1.
[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -9 - 1 + 3x= 1 - 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -10 + 3x= 0 \end{cases}}[/tex]
Arrange the expression in ax^2+bx+c = 0.
[tex] \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} -9 - 1 + 3x= 1 - 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y = 3 - x \\ {x}^{2} + 3x - 10= 0 \end{cases}}[/tex]
Factor the expression.
What two numbers add or subtract each others and equal to 3? (These numbers must not multiply each others and be greater than 10)
1+25-24-12+1What two numbers multiply each others and equal to -10?
Check the number above and multiply two numbers.
1×2 = 25×(-2) = -104×(-1) = -42×1 = 2Two numbers would be 5 and -2. Factor the expression in two brackets.
[tex] \displaystyle \large{(x + 5)(x - 2) = 0}[/tex]
Then we solve like a linear equation, isolate both x.
[tex] \displaystyle \large{x= - 5,2}[/tex]
We've got two x-values. But we are not done yet.
We are going to use these values to substitute in the simultaneous equation. You can substitute in any equations; the first or second. I will choose to substitute x = -5 or x = 2 in the first equation since it is faster.
[tex] \displaystyle \large{ \begin{cases} y= 3 - x \\ {x}^{2} - 3y = 1 \end{cases}}[/tex]
Substitute x = -5
[tex] \displaystyle \large{ \begin{cases} y= 3 - ( - 5)\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 3 + 5\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 3 - ( - 5)\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 8\\ {x}^{2} - 3y = 1 \end{cases}} [/tex]
When we substitute x = -5, y = 8.
Next, substitute x = 2
[tex] \displaystyle \large{ \begin{cases} y= 3 -2\\ {x}^{2} - 3y = 1 \end{cases}} \\ \displaystyle \large{ \begin{cases} y= 1\\ {x}^{2} - 3y = 1 \end{cases}}[/tex]
When we substitute x = 2, y = 1.
Therefore,
x = -5, y = 8x = 2, y = 1OR
(-5,8) , (2,1) —> Coordinate Point formLet me know if you have any questions!
Topic: Simultaenous Equations
427,266 to the nearest ten thousand
Answer:
430,000
Step-by-step explanation:
Since the thousandths place is more than 4 you can round up the ten thousands
Answer:
430,000!
Step-by-step explanation:
27,266 < 30,000
30,000+400,000
=430,000
The number a x10(-2) is about 8 times greater than b x10(-3). Find the correct value of a and b.
Answer:
20- = x
Step-by-step explanation:
324+234=12 x
Add.
−134+(−35)+(−14)
Enter your answer as a simplified mixed number in the box.
Answer:
-183
Step-by-step explanation:
= −134+(−35)+(−14)
= -134 +(-49)
= -183
The value of the addition the algebraic addition is -183
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. Finding the sum, or total, of a set of integers is the process of addition in mathematics.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The algebraic expression will be solved as below:-
E = −134+(−35)+(−14)
E = -134 +(-49)
E = -183
Therefore, the value of the addition the algebraic addition is -183
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
please answer with equations will give 25 points and mark brainliest.
Which is greater 1/2 of 6/7 or 2/3 of 3/7?
Answer:
1/2 of 6/7 is greater than 2/3 of 3/7
Step-by-step explanation:
6/7 x 1/2 = 6/14 = 3/7
3/7 x 2/3 = 6/21 = 2/7
2/7 < 3/7
1/2 of 6/7 is greater than 2/3 of 3/7
Answer:
1/2
Step-by-step explanation:
Please help with pre cal questions
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Answer:
a) 0, 3, 3, 3/2, 1/2
b) ∞, 1, 1, 2, 6
c) 1, 1/2, 1/6, 1/24, 1/120
Step-by-step explanation:
It is convenient to let a spreadsheet or calculator evaluate these functions for different values of n.
Please note that a0 is undefined in part b.
How many sentences does 2 pharaohs have?
Answer ASAP
There are about 3-8 paragraphs in one sentence, so about 6 to 16 paragraphs in total.
find the value of a and b from the figure
Answer:
a=40
b=50
Step-by-step explanation:
I forgot what is it called sorry
I need help simplifying -14 1/5-(-13 1/10)
Answer:
-141/5-(131/10)= -41.3
Shelly and Terrence earned points in t
game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The
expression below shows Terrence's total points in the game:
90x - 20
What does the constant term of the expression represent?
O The total points Terrence earned
O The total number of tasks Terrence completed
O The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
Answer:
The difference between Shelly's and Terrence's total points
Step-by-step explanation:
The constant is 20. The constant is always on it's own. The variable is x and the coefficient is 90.
If the constant is negative (-), we are assuming that there is a difference. This difference is a comparison. Since Shelly has 90x points and Terrence has 90x - 20. Terrence has less points than Shelly. Terrence has 20 points less (from the expression) and therefore a difference. Since they using Shelly's points (90x) to calculate Terrence points (90x - 20). As you can see both expressions are similar and only the constant makes them unequal, therefore since the constant makes them unequal they are different.
(17x-23) (7x+2) in geometry
Answer:
119x^2-127x-46
Step-by-step explanation:
I need to know
give 20 points to who answers this right.
Step-by-step explanation:
I believe it's 16 1/2. I just used MathPapa lol.
Need helppppppppppppppp
[tex]\\ \sf\longmapsto 54\%\:of\:270[/tex]
[tex]\\ \sf\longmapsto 27\times \dfrac{54}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1458}{100}[/tex]
[tex]\\ \sf\longmapsto 145.8[/tex]
Answer:
145.8 is the answer
Step-by-step explanation:
Mark it brainlist answer
Why do we study statistics?
A. Because technological advances have introduced massive amounts of data into the world
B. Because statistics can be applied to every field of study
C. Because many of the statistical stories told in the media are misleading
D. All of the above
help me please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Answer:
B. Because statistics can be applied to every field of study
Evaluate 2a2+5/7+b when a=−6 and b=−2
Step-by-step explanation:
2a^2+5/7+b
a= -6
b= -2
solution
2(-6 x -6 )+5/7 +-2
2(36)+5/7+( -2 )
2x36=72
so it will be
72+5/7+ (-2)
72+5=77
77/7+(-2)
= 11+(-2)
=9
9 is the answer.
What are the missing factors in the factor tree for 45?
45
5
A
B
С
Answer:
c
Step-by-step explanation:
the missing factors in the factor tree
what is the slope and y- intercept
Perform the operations.
-3.1 + (-7.2) + 4.8
Answer:
-5.5
Step-by-step explanation:
1. -3.1 + (-7.2) + 4.8
remove parentheses
add/subtract the numbers.
-3.1-7.2+4.8 = -5.5
Which angel is a right angle (Choose One)(100 Points)
[tex]\huge\mathsf\blue{Answer}:-[/tex]
Hey mate,
Attachment 3 is a right angle because a right angle makes a straight line ( 90 degree angle)
that's why it's a right angle
plz mark me as brainliestThe attachment three(I attached too) is an right angle .
Note:-A right angle has a square sign in place of that angle like [tex]\boxed{}[/tex]
what property are these equations?
Answer:
Line 1 to line 2: Distributive property.
Line 2 to line 3: Commutative property.
PLS ANSWER HELP IF U SEE THIS I GIVE FREE BRAINLY
Answer:
-7
Step-by-step explanation:
77 ÷ (-11) = -7
An equilateral triangle has three congruent that measure 1 3/4 inches on each side. What is the
perimeter of the triangle?
Answer:
Here is the equation
Step-by-step explanation:
First add the wholes, 1 + 1 + 1. Then add the thirds, because the denominator is the same, this will be easy for you, ( 3/4 +3/4 +3/4)
1 3/4
1 3/4
+ 1 3/4
3 9/4 = 5 1/4
The perimeter of a triangle is 5.25 inches.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The perimeter of a triangle = sum of all sides
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given that an equilateral triangle has three congruent that measure 1 3/4 inches on each side.
⇒ [tex]1\dfrac{3}{4} = \dfrac{3+4}{4} = \dfrac{7}{4}[/tex]
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
The perimeter of a triangle = 7/4 + 7/4 + 7/4
The perimeter of a triangle = 21/4
The perimeter of a triangle = 5.25
Hence, the perimeter of a triangle is 5.25 inches
Learn more about the perimeter of a triangle here:
brainly.com/question/24388271
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Find the distance between the two points (2, -9) and (-1, 4) round to the nearest tenth .
Answer:
13.3 units (nearest tenth)
Step-by-step explanation:
[tex]\boxed{Distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]
Using the formula above, distance
[tex] = \sqrt{ {[2 - ( - 1)]}^{2} + ( - 9 - 4)^{2} } [/tex]
[tex] = \sqrt{ {(2 + 1)}^{2} + ( - 13) {}^{2} } [/tex]
[tex] = \sqrt{ {3}^{2} + ( - 13) {}^{2} } [/tex]
[tex] = \sqrt{9 + 169} [/tex]
[tex] = \sqrt{178} [/tex]
= 13.3 units (nearest tenth)
Evaluate Expression
-19 + 3(-13 + 4*3)
Answer:
-22
Step-by-step explanation:
Solve the expression using PEMDAS.
-19 + 3(-13 + 4 * 3)
~Multiply
-19 + 3(-13 + 12)
~Add
-19 + 3(-1)
~Multiply
-19 - 3
~Subtract
-22
Best of Luck!
On the basis of this graph, which statement is true?
Thousands of dollars
Median Sales Prices of New Homes Sold in U.S.
245
240
235
230
225
220
215-
210
2052
200
195
Jan Feb Mar Ar May June July Aug Sep Od
2011
For the time period shown, the median sales price was never below $215,000.
The median sales prices in January and June are about the same.
O
The
greatest increase between two consecutive months occurred between March and April.
Answer:
The second choice answer of "The median sales in January and June are about the same." would be the correct answer.
If you were to look at the January point and the June point, they both land on the 240 thousand dollar mark!
Fill in the blank with either "edge" or "vertex" to make a true statement.
A Hamiltonian circuit uses each once and only once.
An Euler circuit uses each once and only once.
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Answer:
H: vertexE: edgeStep-by-step explanation:
A Hamiltonian circuit uses each vertex once and only once. (may repeat edges)
An Euler circuit uses each edge once and only once. (may repeat vertices)
A group of people were asked if they had run a red light in the last year. 363 responded "yes", and 138
responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Answer:
363/501
Step-by-step explanation:
363+138=501.........