A polynomial's degree is the highest total exponent in the polynomial.
Example: 5xy^2 has a degree of 3.
x has a exponent of 1 and y had a exponent of 2 so in total it is 3.
How is writing expressions with variables and numbers similar to writing expressions using words?
Whoever answers this first will get brainliest.
The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.
Answer:
Sometimes in math we describe an expression with a phrase. For example, the phrase
"2222 more than 5555"
can be written as the expression
2+52 + 52+52, plus, 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
For example,
"3333 more than xxxx"
can be written as the algebraic expression
x+3x+ 3x+3x, plus, 3.
But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.
Different words for addition, subtraction, multiplication, and division
Here is a table that summarizes common words for each operation:
Operation Words Example algebraic expression
Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3
Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6
Multiplication times, product 8k8k8k8, k
Division divided, quotient a÷9a \div 9a÷9a, divided by, 9
For example, the word "product" tells us to use multiplication. So, the phrase
"the product of 8888 and kkkk
Let's take a look at a trickier example
Write an expression for "mmmm decreased by 7777".
Notice that the phrase "decreased by" tells us to use subtraction.
So the expression is m−7m - 7m−7m, minus, 7.
Work out the value of 58×5-2
54
Answer:
36
Step-by-step explanation:
58 times 5 is 290. 290-254 is 36
Solve the following trigonometric equations for all values of x | 0 < x < 360o. (12.5 pt. ea.)
1. 4 cos2 x = 3 2. 3 tan x = tan x – 2
Solve the equations for all values of θ | 0o < θ < 360o (12.5 pt. ea.)
3. 4 cos θ = – 4 4. – 1 – sin θ = – 4 – 7 sin θ
√ 2
Answer:
202
Step-by-step explanation:
4th answer
The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.
Answer: - 63
Step-by-step explanation:
An arithmetic progression is such that the N-th element is equal to:
An = A1 + (n-1)*R
where A1 is the first term, and R is the difference between two consecutive terms.
We know that
A1 + 9*R = -37
and
A1 + (A1 + R) + (A1 + 2R) + (A1 + 3R) + (A1 + 4R) + (A1 + 5R) = -27
6*A1 + R(1 + 2 + 3 + 4 + 5) = -27
6*A1 + 15*R = -27
so we have two equations:
6*A1 + 15*R = -27
A1 + 9*R = -37
Let's find A1 and R.
First, isolate A1 in the second equation:
A1 = -37 - 9*R
now replace it in the other equation and solve it for R.
6*A1 + 15*R = -27
6*(-37 - 9*R) + 15*R = -27
-222 - 54*R + 15*R = -27
-39*R = -27 + 222 = 195
R = 195/-39 = -5
Now we can find the value of A1:
A1 = -37 - 9*R = -37 - 9*-5 = 8
So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.
A7 = 8 + 6*-5 = -17
A8 = 8 + 7*-5 = -22
Sum = -27 -17 - 22 = -63
Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?
Answer:
4.8 dollars for 1 pound super nutty
An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?
Answer:
Final price f = 0.85x
Step-by-step explanation:
Let f represent the final price and
x is the original price of the lawn mower
Given;
The hardware store is having a 15% off sale on lawn mowers this weekend;
the final sales price,excluding tax will be equal to the original price minus 15% of the original price.
Final price f = 100% of x - 15% of x
Final price f = x - 0.15x
Final price f = 0.85x
Answer:
WHAT IS THE ANSWER?
Step-by-step explanation:
help mehhh
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
A polynomial p has zeros when x = 1/5, x = -4, and x = 2.
What could be the equation of p?
Answer:
-3
Step-by-step explanation:
and
= -3
What could be the equation of p?
Choose 1 answer:
©
p(x) = 2(6x + 1)(x+3)
©
p(x) = 2(6x – ) (2 – 3)
© p(x) = + (6 +) (+3)
© pla) = = (***) (2-3)
Answer:
p(x) = (5x - 1) (x + 4) (x - 2)
Step-by-step explanation:
The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31
Answer:
mean number of hours worked = 32
Step-by-step explanation:
The mean or average of a set of data is the sum of the individual data divided by the number of entries.
Therefore, the mean number of hours worked is calculated as follows:
sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320
Number of entries = 10
mean number of hours worked = sum of the number of hours ÷ Number of entries
mean number of hours worked = 320 ÷ 10 = 32
6 divided 2 (1+2) and 9 - 3 divided by 1/3 +1
Answer:
1
Step-by-step explanation:
Work between parenthesis first, so distribute the 2 into both digits within the parenthesis then add the together.
Now divide that number by the 6 at the beginning of the problem to get your first answer.
Now you work on the second part, divide 3 by 1/3 which would give you 9.
9-9=0
0+1=1
1 is your overall answer
Answer:
1 ; 18/4
Step-by-step explanation:
6/ 2(1+2) ; 9 - 3/(⅓ + 1)
6/ 2(3) ; 6/ (4/3)
6/6 ; 6 / (4/3)
1; (6×3)/4
1 ; 18/4
14,500 people are sitting in a stadium. One of them is picked out. What are the chances that the person's birthday is on a Sunday?
Please give an accurate answer
There are 7 days in a week.
The probability of being on any one day of the week would be 1/7
So the probability of a persons birthday being on a Sunday would be 1/7
Answer:
WELL THERE 7 DAYS IN THE WEEK
Step-by-step explanation:
The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.
Answer:
4/32
Step-by-step explanation:
3/4*1/2=3/8
3/8*1/4=4/32
Answer:
3/32 inch^3
Step-by-step explanation:
The value of the square root of 13 is between
Answer:uhhhhhhhhhhhhhhhhhhh 14
Step-by-step explanation:
Someone please help me. ASAP
Answer:
x = 6
Step-by-step explanation:
we both know you dont wanna know how you just want the answer
What is the solution?
Answer:
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Step-by-step explanation:
I did the work on a piece of paper and attached the picture.
Hope this helps :)
What is the surface area of a cube in which each face of the cube has an area of 7 cm??
Answer:
42
Step-by-step explanation:
6 faces to a cube
each face has area of 7
6*7 is 42
Answer:
42 is correct
Step-by-step explanation:
give the other person brainliest
Need help ASAP !! Anyone get this question ?
Answer:
1:3
Step-by-step explanation:
Down arrows: 4 out of 12
4:12
1:3
Answer:
4:12, 4 to 12, or 4/12
Step-by-step explanation:
this is so simple, first see how many down arrows are there
down arrows: 4
then count the total arrows
total: 12
down arrows to total arrows
4:12
Order the rational numbers from least to greatest
Answer:
its the 3rd one
Step-by-step explanation:
you find which one is smaller and then you go to the next one up
how many 1/8 are in 1/2 a cup
Answer:
Add dem
Step-by-step explanation:
Just add dem and u will get our answer
Answer:
4
Step-by-step explanation:
Add 1/8 until, when simplified, it will equal 1/2:
1/8 + 1/8 = 2/8
2/8 + 1/8 = 3/8
3/8 + 1/8 = 4/8 = 1/2
4 1/8 are needed to get 1/2: (4 * 1)/8 = 4/8 = 1/2
5/4=y−14 help meeeee
Answer:
y= 61/4
Step-by-step explanation:
-y=-14-5/4
-y=-61/4
-1(-y=-61/4)
y= 61/4
Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and nine inches tall. Sam fills the aquarium. How many cubic inches of water are in Sam's aquarium?
Select one:
2,112 cubic inches
1,449 cubic inches
1,920 cubic inches
1,728 cubic inches
The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.
What is the volume of the cuboid?The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.
Volume of cuboid = (length x width x height)
= 24 x 8 x 9
= 1,728 cubic inches
Thus, the volume of the cuboid is 1,728 cubic inches.
Learn more about cuboid;
https://brainly.com/question/15843335
An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle?
The answer choices are
65°
80°
50°
30°
Plz help
Answer:
80
Step-by-step explanation:
An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees
Sue biked 5 kilometers each day for 7 days. How many cm did she bike in all?
HELP ASP GIVING YOU 30 POINTS FOR THIS
Answer:
3,500,000
Step-by-step explanation:
Answer:
Sue biked 3,500,000 centimetres.
Step-by-step explanation:
First, multiply 5 km by 7 (days). 5 × 7 = 35 km
Convert the kilometres to centimetres.
There are 100,000 cm in a kilometer, so multiply:
35 × 100,000 = 3,500,000 cm.
The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?
Could whoever answers pls tell the equation used?
Answer: Bea has $30 saved
Step-by-step explanation:
Add 10: 50+10=60
Divide by 2: 60/2=30
6x - 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y =
X-5
DO NE
Answer:
y = 3x -5
Step-by-step explanation:
6x - 2y = 10
-6x. -6x
Inverse Operations
-2y = -6x + 10
÷-2. ÷-2. ÷-2
y = 3x - 5
Answer:
6x – 2y = 10
2x + 3y = 51
Solving the first equation above for y gives:
y = (3) x – 5
Which choice shows the result of substituting
3x – 5 into the second equation for y?
2(3x – 5) + 3x = 51
----------2x + 3(3x – 5) = 51 its B
2(3x – 5) + 3y = 51
Solving the equation 2x + 3(3x – 5) = 51
for x gives x =
---6.
The complete solution to the system is:
----(6, 13)
Step-by-step explanation:
expand the linear expression 6(7m+2)
Answer:
42m +12
Step-by-step explanation:
6(7m+2)
Distribute
6*7m +6*2
42m +12
Answer:
42m+12
Step-by-step explanation:
In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
4/24
Step-by-step explanation:
Answer:
4/24
Step-by-step explanation:
The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99
FIND MAD
Answer:
[tex]1.6[/tex] - written in [tex]2/12/2021[/tex]
Step-by-step explanation:
The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].
So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]
This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.
Answer:
7.4
Step-by-step explanation:
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.