Answer:
6x² + 15
6
Step-by-step explanation:
Let the number be x.
"the square of a number"
x²
"the product of 6 and the square of a number"
6x²
"the product of 6 and the square of a number plus 15"
6x² + 15
The coefficient is the number that multiplies the variable, so it is 6.
The expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the unknown number be represented by x. Therefore, the given statement can be broken down and written as shown below,
1. "the product of 6 and the square of a number"
6x²
2. "the product of 6 and the square of a number plus 15"
6x² + 15
Thus, the expression that can represent the given statement is 6x²+15.
Now, the coefficient of the expression is the number that is in multiplication with the unknown variable, therefore, x in this case. Thus, the value of the coefficient is 6.
Hence, the expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.
Learn more about Expression:
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Simplify (2a⁵ b3/a³ a-²)3
Answer:
The chosen topic is not meant for use with this type of problem.
Q.1 List all perfect squares between 0 and 400.
Thxxxx
Answer:
0,1,4,9,16,25,36,49,64,81,121,144,169,196,225,256,289,324,361,400
Nine less than twice a number is the same as five times the number
Answer:
- 3
Step-by-step explanation:
2x - 9 = 5x
- 9 = 5x - 2x
-9 = 3x
-9/3 = x
x = -3
(3-7-10)[5-(7-11)×(-7)] how to solbe this??????!!!!!!!!! help plss
(3 - 7 - 10) · [5 - (7 - 11) · (-7)] =
= (-4 - 10) · [5 - (-4) · (-7)] =
= -14 · (5 - 28) = -14 · (-23) =
= 322Evaluate the expression below.
6−(65÷5+8−8×4)+1
Answer:
-4
Step-by-step explanation:
Solve inside the parenthesis first and then solve outside
Answer:
18
Step-by-step explanation:
6−(65÷5+8−8×4)+1
6−(13+8−8×4)+1
6−(13+8−32)+1
6−(21−32)+1
6-(-11) +1
18
Question 5 (5 points)
image
What's the range of this function graph?
Question 5 options:
A)
(–∞,2)
B)
[2,∞)
C)
(–2,∞)
D)
[–2,∞]
9514 1404 393
Answer:
B) [2,∞)
Step-by-step explanation:
The range is the vertical extent of the graph. Here, the minimum is 2, and it goes up from there. The range is ...
[2, ∞)
21/5 + 4/3 - 1/2
what is the answer
Answer:
151/30
Step-by-step explanation:
hopefully it is clear and understandable...and visible
:)
Which words or words show that the author is giving a definition
A: are called
B: the most
C:however
D:differently
Answer:
A: are called
Step-by-step explanation:
defintion is an explanation of the meaning of word, phrase etc
Rewrite without parentheses-8w^2x^6(7x^3+3w-6)
Answer:
-56w^2x^9-24w^3x^6-48w^2x^6
Step-by-step explanation:
Expand by distributing terms.
-(56w^2x^9+24w^3x^6-48w^2x^6)
Then remove the parentheses
Is the number 5 prime, composite, or neither?
Answer:
A number that is divisible only by itself and 1
therefore 5 is a prime number
Answer:
It is a prime number.
Step-by-step explanation:
It is only divisible by 1 and itself. In order to be classified as a prime number, it must only be divisible by 2 factors, itself and 1.
If NO = 2y + 11, OP = 3y - 2, NP = 6y +3, and
MP = 64, find each value.
a. NO
b. MN
A line segment can be divided into several subsegments. The values of NO and MN are 15 and 49, respectively.
Given that:
[tex]NO = 2y + 11[/tex]
[tex]OP = 3y - 2[/tex]
[tex]NP = 6y + 3[/tex]
[tex]MP = 64[/tex]
The equation of NP is:
[tex]NP = NO + OP[/tex]
So, we have:
[tex]6y + 3 = 2y + 11[/tex]
Collect like terms
[tex]6y -2y = 11 - 3[/tex]
[tex]4y = 8[/tex]
Divide by 4
[tex]y = 2[/tex]
So, the value of NO is:
[tex]NO = 2y + 11[/tex]
[tex]NO = 2 \times 2 + 11[/tex]
[tex]NO =15[/tex]
And the value of MN is:
[tex]MN = MP - NP[/tex]
Substitute values for MP and NP
[tex]MN = 64 - 6y -3[/tex]
Substitute [tex]y = 2[/tex]
[tex]MN = 64 - 6\times 2 -3[/tex]
[tex]MN = 49[/tex]
Hence, the values of NO and MN are 15 and 49, respectively.
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Is 4-2n = 5-n+1 a one solution or a no solution or is it a real number
Answer:
No solution
Step-by-step explanation:
Answer: One solution.
n=-2
Step-by-step explanation: 4−2n=5−n+1 4+−2n=5+−n+1 −2n+4=(−n)+(5+1) −2n+4+n=−n+6+n −n+4−4=6−4 −n/-1=2/-1 n=-2
Fitness 19 charges a $44 sign up fee and $30 per month. LA fitness charges a $99 sign up and $25 per month. For what number of months is the cost the same?
Answer:
11 months
Step-by-step explanation:
Let x = months
y = total cost
Since Fitness 19 charges $30 a month, we multiply x by 30 like this: 30x
$44 is already added on the cost, so the Fitness 19 equation will look like this:
y = 30x + 44
Since LA Fitness charges $25 a month, multiply x by 25 like this: 25x
$99 is already added to the cost, so the LA Fitness equation will look like this:
y = 25x + 99
We need to find the point where they are both the same
30x + 44 = 25x + 99
First, move like terms to one side by subtracting 25x from both sides
30x + 44 = 25x + 99
- 25x - 25x
5x + 44 = 99
Then, subtract 44 from both sides
5x + 44 = 99
- 44 - 44
5x = 55
Finally, isolate the variable, x, by dividing both sides by the coefficient, 5
5x/5 = 55/5
x = 11
What is the equation for a line that passes through the points (2,-2) and (-4,16)?
Answer:
-3x+4
Step-by-step explanation:
In order to find the slope, you need to use this formula: [tex](y_2-y_1)/(x_2-x_1)[/tex]. Insert the coordinates and see that the slope is -3. In order to have the points (-4,16) and (2,-2), the y-intercept is 4. In the end, the line is -3x+4.
………………… help me pls im timed
Answer:
x ∈ (−∞,−11) ∪ (15,∞)
Step-by-step explanation:
Please Help ME!!!
1. If ST=17 and RT=47, find RS. Use the number line below.
<-R---------------------------------------------------------------------------S---------------------------------T->
2.On a number line, suppose point E has a coordinate of 3 , and EG=6. What are the possible coordinates of point G?
3.Find the length of the segment _AB_.
<-12-------'-11'-'-10'-9'-9'-'-8'-'-7'-'-6'-'-5'-'-4'-'-3'-'-2'-'-1'-0-'1'-'2'-'3'-'4'-'5'-'6'-'7'-'8'-'9'-'10'-'11'-'12'
A is -2 and b is 4 the length is?
Please help me!
Answer:
#1Segment addition:
RS + ST = RTRS + 17 = 47RS = 47 - 17RS = 30 units#2There are two possibilities:
G is to the left of E. Then G = 3 - 6 = -3G is to the right of E. Then G = 3 + 6 = 9So possible coordinates of G are -3 or 9
#3The length of the segment is the absolute value of the difference of the end point coordinates.
AB = 4 - (-2) = 4 + 2 = 6 unitsStep-by-step explanation:
1
RS = RT - ST
RS = 47 - 17
RS = 30 cm
2.
Coordinate = 3 ± 6
If 3 + 6 = 9
If 3 - 6 = -3
3
AB = 4 - (-2)
AB = 6
28. Retail Sara Sung is shopping and finds several items that are on sale at 25% off
the original price. The items that she wishes to buy are a sweater originally at
$43.98, a pair of jeans for $38.59, and a blouse for $31.99. She has $100 that her
grandmother gave her for her birthday. If the sales tax in San Mateo, California,
where she lives is 8.25%, does Sara have enough money for all three items?
Explain.
Answer:
Sara has enough money to buy all three items because after the sale and tax, the total of all three items is less than $100 at only $93.01.
Step-by-step explanation:
Solve for the sale:
43.98 × 0.25
10.995
38.59 × 0.25
9.6475
31.99 × 0.25
7.9975
Add these all together:
10.995 + 9.6475 + 7.9975
28.64
Subtract this amount from the original cost of all the items:
(43.98 + 38.59 + 31.99) - 28.64
114.56 - 28.64
85.92
Solve for the sales tax:
85.92 × 0.0825
7.0884
Add the sales tax to the total:
85.92 + 7.0884
93.0084
Round up to the nearest cent:
93.01
93.01 < 100
I have no ideas what this means at all. Please help me.
Answer:
x + 8 = 8 + x
Step-by-step explanation:
the commutative property for addition is A + B = B + A
so you basically just swtich the numbers around
x + 8 = 8 + x
A camera cost 115 Canadian dollars if each Canadian dollar is worth 0.950 to US dollars how much will the camera cost in the US dollars
Answer:
109.25 US dollars
Step-by-step explanation:
115 * 0950
Explain why you might want to write very large and very small numbers like the ones in the example problem in scientific notation.
Answer:
Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x[tex]10^{11}[/tex]. This is easier to write and understand. This is why the scientific notation is used over standard.
Find an
expression which represents the difference when (-x+9y) is subtracted
from (-6x + 4y) in simplest terms.
Answer:
5x + 13y
Step-by-step explanation:
-x + 9y- (-6x) + 4y
-x + 9y + 6x +4y
(-x + 6x) + (9y + 4y)
5x + 13y
To join a new fitness center, there is a $50 initiation fee. It costs an additional $10 for every spinning class you attend. What is the average cost per class if you take 10 classes in the first month of joining the fitness center?
A. $6
B. $10
C. $15
D. $20
HOW DO I DO THIS?
Answer: 15
Okay, so I just kept putting in equations in my calculator so I could get 15(Someone commented the correct answer on the previous answer) so the equation is 50÷10-10 to get 15
The average cost per class if 10 classes is taken is : $15
The total cost is given as :
Initiation fee + additional cost(number of classes)
Number of classes = 10
Total cost = $50 + $10(10)
Total cost = $50 + $100
Total cost = $150
The average cost per class :
Total cost / number of classes
$150 / 10
= $15
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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Point L is represented by the ordered pair (4, -3) and is shown on the coordinate plane below.
a. Point M is 5 units away from point L. Plot two different locations that could represent where point M is on the coordinate plane. List the coordinates below.
b. Point K is located at (-7, -3). What is the length of the line segment between point L and point K? Show or explain your answer using absolute value.
Part (a)
Answer: Point M could be at (9, -3) and could be at (-1, -3)
There are infinitely many answer choices
----------------------------------------------
Explanation:
We start at point L(4,-3). We could move 5 units to the right. Doing so means we add on 9 to the x coordinate to get 4+5 = 9. That moves us to (9,-3) which is one possible location for point M.
Now move back to point L(4,-3). Let's move 5 units to the left and we'll get to (-1,-3) which is another possible location for M. I subtracted 5 from the x coordinate of (4,-3).
There are infinitely many places M can be. It turns out that M can be anywhere on the circle of radius 5 and centered at (4,-3). The equation of this circle is (x-4)^2 + (y+3)^2 = 25.
===============================================================
Part (b)
Answer: 11 units
----------------------------------------------
Explanation:
Point L is at (4, -3)
Point K is at (-7, -3)
Both have -3 as the y coordinate. So we focus on the distance between the x coordinates.
To find that x coordinate distance, we subtract and use absolute value like so
|x1-x2| = |4 - (-7)| = |4 + 7| = |11| = 11
Order doesn't matter with subtraction that involves absolute value
|x2-x1| = |-7-4| = |-11| = 11
Either way, we see that the distance from K to L is 11 units. This is the same as the length of segment KL.
Answer:
a. M1 = (0, 0), M2 = (4, 2)
b. LK = |-7-4| = 11
Step-by-step explanation:
a. The infinite number of points that are 5 units from point M comprise a circle of radius 5 centered at M. There are 12 points on that circle that have integer coordinates.
Conveniently, 5 is the hypotenuse of a right triangle with sides 3 and 4. So, any point that has coordinate differences from L that are (±3, ±4) or (±4, ±3) will be 5 units away. (The signs can be chosen independently, so that's a total of 8 points.) Of course, points 5 units away on the same horizontal or vertical line will also be possible locations of point M: (4±5, -3) or (4, -3±5), a total of 4 more points.
The points we have shown in the attachment are (4, 2) and (0, 0).
__
b. The distance formula can tell you the length of LK:
LK = √((-7-4)² +(-3-(-3))²) = √(-11)² = |-11| = 11
A length is always positive. The distance along a horizontal line can be found by subtracting one end-point x-coordinate from the other. In order to ensure the length is positive, the absolute value of the difference must be used.
In the case of the distance formula, we end up with √(d²) = |d|, where d is the difference of x-coordinates on the horizontal line.
It costs $1900 to manufacture 60 items, and the fixed costs are $700. If x represents the number of items manufactured and y the cost, write the cost function.
Answer:
y = 700 + (1900/60)x
[or y = 700 + (95/3)x if you simplified]
Explanation:
Since the fixed cost is 700 dollars, any additional cost will be added to that.
Hence, 700 + in the equation.
The amount added to the 700 is (1900/60)x because per 60 items you spend $1900. So, for 1 item you spend (1900/60) [or (95/3) if you prefer to simplify as much as possible]. Thus, the cost of manufacturing multiple items is $(1900/60)x.
So, your final equation should read:
y = 700 + (1900/60)x
[or y = 700 + (95/3)x if you simplified]
Please help and show the work
9514 1404 393
Answer:
(C) no solutions
Step-by-step explanation:
If you multiply the first equation by 2, you get ...
2x +2y = 4
When you compare this to the second equation ...
2x +2y = 8
you realize there are no values of x and y that can satisfy both equations. There are no solutions.
Order the fraction in ascending Order
Answer:
1/2, 6/10, 2/3, 3/4
Step-by-step explanation:
Answer:
[tex] \frac{1}{2} \: \frac{6}{10} \: \frac{2}{3} \: \frac{3}{4} [/tex]
Step-by-step explanation:
1. find the Lowest common multiple
which is 60
2. multiple both the numerators and denominators, and make all the denominators 60
[tex] \frac{36}{60} \: \frac{30}{60} \: \frac{45}{60} \: \frac{40}{60} [/tex]
3. list these fractions in ascending order
2. An investment firm purchases a $65,000 CD from a bank at 2%. How much is the investment worth
(rounded to the nearest cent) at the end of 4 years if interest is compounded quarterly?
Answer:
$70.399.62
Step-by-step explanation:
To find the final amount, we have to use the compound interest formula
A = P(1 + r/n)ⁿˣ
A = Final amount
P = Starting amount (65,000)
r = rate (0.02)
n = time applied (4 since it's quarterly, meaning 4 times every year)
x = years (4)
Our equation will look like this
A = 65,000(1 + 0.02/4)¹⁶
You should use a calculator to plug to solve 65,000(1 + 0.02/4)¹⁶
A = 70,399.62483294155
Question 24 (1 point)
(01.05)
What is the equation of a horizontal line passing through the point (-7,5)? (1 point)
Оа
y = 5
Ob
y=-7
Ос
x=5
Od
x = -7
L
9514 1404 393
Answer:
(a) y = 5
Step-by-step explanation:
The equation of a horizontal line can be written as ...
y = constant
In order to make that line pass through a given point, the constant must match the y-coordinate of the point. Here, that is 5.
y = 5
Find the value of expression:15/3+(7-3)^2
Answer:
21
Step-by-step explanation:
Find x if a = 13 and C = 47.
a in:
2 111.
Answer:
45 or two decimal points 45.167.
Step-by-step explanation:
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be
ALL CREDT TO
MariettaO [177] on https://answer.ya.guru/questions/5729132-find-x-if-a-13-and-c-47-need-help.html