The property of the questions are correctly stated below.
Properties of the various given equations Commutative property of addition: This is represented by equation 7Commutative property of multiplication: This is represented by equation 5.Associative property of addition: This is represented by equation 4.Associative property of multiplication: Not represented with any equation.Additive identity property: This is represented by equation 10.Multiplicative identity property: This is represented by equation 1.Multiplicative property of zero: This is represented by equation 8.Multiplicative inverse property: Not represented with any equation.Distribution property: This is represented by equation 2.Reflexive property: This is represented by equation 3.Symmetric property: Not represented with any equation.Transitive property: This is represented by equation 2.Substitution property: This is represented by equation 2.Learn more about equations here:
https://brainly.com/question/2972832
#SPJ1
Solve the inequality 4x - 7> 3
Answer:
[tex]x > \frac{5}{2} > 2\frac{1}{2}[/tex]
Step-by-step explanation:
group
[tex]4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10[/tex]
isolate "x"
[tex]4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}[/tex]
Answer:
x > 2.5 or in fraction form x > 2 1/2
Step-by-step explanation:
4x - 7 > 3
+7 +7 Add seven to both sides.
4x > 10
÷4 ÷4 Divide both sides by 4.
x > 2.5
Hope this helps!
6+x^4-3x^2-5x
WHAT IS THE CONSTANT AND WHY
Answer:
6
Step-by-step explanation:
The constant is the number that's all by itself with no variable.
x is the variable. It can vary (change) as you use different values for x.
There are four terms here in the expression in your question they are separated by the plus or minus signs.
2 and 4 are exponents. 3 and 5 are coefficients.
x^4 is a fourth degree term. 3x^2 is a second degree term. 5x is a first degree term. The whole expression is 4th degree because the highest exponent is 4.
But the 6 is all by itself. 6 is the constant.
A. (x, y) = (x + 6, y)
B. (x', y') = (x − 6, y)
C. g(x) = f(x+6)
D. g(x) = f(x-6)
E. g(x) = f(x) + 6
F. g(x) = f(x) - 6
Answer:
i don't know, you need to tell us what we need to do
Step-by-step explanation:
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next
The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a transformation function:
g(x) = f(x - 3) + 4
The parent function is f(x).
First transformation:
x → (x - 3)
The function will shift right by 3 units.
Second transformation:
Add 4 to the function:
g(x) = f(x - 3) + 4
The function will shift up by 4 units.
Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
The graph of f(x) = 3.2x-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?
Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
__
To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
__
You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
If the exchange rate when converting US dollars to Za rands is $1=R17
1. How much is $100 in ZA rands
How much is $100 in ZA rands.
Solution:Let the unknown be "x"
[tex]\frac{1}{17}×\frac{100}{x}[/tex]
We'll have to do cross multiplication.
So we'll have to multiply 100 and 17.
[tex]100×17[/tex]
[tex]\huge\boxed{= 1700 \: ZA \: rands}[/tex]
Therefore, $100 is 1700 ZA rands.
What are the values of a and b? O a 14, b=6 O a=14, b = 8 O a=17, b = 6 O a = 17, b = 8
The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6
Calculating the length of the sides of a kiteFrom the question, we are to determine the values of a and b
From the given kite diagram, we can conclude that
/FG/ = /HG/
Thus,
30 = 2a - 4
∴ 2a - 4 = 30
2a = 30 + 4
2a = 34
a = 34 / 2
a = 17
Also,
/FJ/ = /HJ/
3b + 6 = 24
3b = 24 - 6
3b = 18
b = 18/3
b = 6
Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6
Learn more on Calculating the sides of a kite here: https://brainly.com/question/21133066
#SPJ1
Vera is looking for vegetables for dinner. She purchases 2 5/8 pounds of baby potatoes and 1 1/2 pounds of green beans. If she uses a $10 bill to pay, what will her change be?
Baby potatoes=$1.62 per pound and green beans=2.54 per pound
Answer:
6.5 $
Therefore she needs 6.5 $ is she doesn't rwk
40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?
Answer:
51%
Step-by-step explanation:
true or false? The sum of the difference is not always zero for any distribution consisting of n observations
Answer:
i believe the answer is false !
Step-by-step explanation:
find the value of A , B and C from the following figure
Step-by-step explanation:
Here in the given figure the value of x will be 70° ( being alternative angle )
x = 70°
Now...
y = 60° ( being corresponding angle )
Now...
60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°
z = 180° - 130°
z = 50° ..
[tex]...[/tex]
Bayangan segitiga ABC dengan A (2, 4), B(5,0), C(6,4)
karena refleksi terhadap sumbu Y adalah
Answer:
it is b.
Step-by-step explanation:
as if the slope of x is 5 then y,=,0
Kat is painting the edge of a triangular stage prop with orange paint. The lengths of the edges of the triangle are (3x-4) feet, (x2-1) feet, and (2x-15) feet. What is the perimeter Of the triangle if x =4
The perimeter of the triangle is 16 feet
What is the perimeter of a triangle?The perimeter of a triangle refers to the calculation of the total distance bounded by the triangle or around the triangle.
Perimeter of a triangle = (3x - 4) + (x² - 1) + (2x - 15)
Perimeter of a triangle = 5x + x² - 20
If x = 4Perimeter of a triangle = 5(4) + (4)² - 20
Perimeter of a triangle = 16
Learn more about calculating the perimeter of a triangle here:
https://brainly.com/question/24382052
#SPJ1
Jacob bought a deluxe computer system for his home business. The system cost
$2,395. The value of the computer system will depreciate at a rate of 12% a year.
What will be the cash value of the computer system in 3 years? Round your answer to
the nearest dollar.
O $287
O $2108
O $1632
O $2682
The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632
DepreciationFrom the question, we are to determine the cash value of the computer system in 3 years
From the given information,
The computer system cost $2,395 and it will depreciate at a rate of 12% a year
After the first year, the worth of the computer system will be
$2,395 - (12% of $2,395)
$2,395 - (0.12 × $2,395)
= $2,395 - $287.4
= $2107.6
After the second year, the worth of the computer system will be
$2107.6 - (12% of $2107.6)
$2107.6 - (0.12 × $2107.6)
= $2107.6 - $252.912
= $1854.688
After the third year, the worth of the computer system will be
$1854.688 - (12% of $1854.688)
$1854.688 - (0.12 × $1854.688)
= $1854.688 - $222.56256
= $1632.12544
≅ $1632
Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632
Learn more on Depreciation here: https://brainly.com/question/27513036
#SPJ1
One evening, the candy counter at the Cineplex sold 532 buckets
of popcorn for $1,489.50. A large bucket sells for $2.25 and a
jumbo bucket sells for $3.75. How many jumbo buckets of
popcorn were sold?
Please help!!
Answer:
337 large buckets and 195 jumbo buckets were sold.
Step-by-step explanation:
x = the number of large buckets sold
y = the number of jumbo buckets sold
x + y = 532
(2.25x + 3.75y = 1489.50) x100 = 225x + 375y =148950
(x + y = 532) x -225 = -225x - 225y = -119700
+ 225x + 375y =148950
150y = 29250
y = 195
x + 195 = 532
x = 337
What is the perimeter of the rectangle
30
108
96
54
15
Answer:
30
Step-by-step explanation:
The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.
so, P = 9+6+9+6
P = 30
Let an denote the nth term of a geometric sequence. let a0=256 and an+1=0.5an .
part a
write an explicit formula for this sequence.
an=
part b
to the nearest whole number, what is the sum of the first 25 terms?
The explicit formula is [tex]a_{n-1} = 256 * 0.5^{n-1[/tex] and the sum of the first 25 terms is approximately 512
The explicit formulaThe given parameters are:
[tex]a_0 = 256[/tex]
[tex]a_{n +1} = 0.5a_n[/tex]
Set n = 0
[tex]a_1 = 0.5a_0[/tex]
Substitute 256 for a0
[tex]a_1 = 0.5 * 256[/tex]
[tex]a_1 = 128[/tex]
This means that the common ratio is 0.5.
The explicit formula is then represented as:
[tex]a_{n-1} = a_0 * r^{n-1[/tex]
This gives
[tex]a_{n-1} = 256 * 0.5^{n-1[/tex]
The sum of the first 25 termsThis is calculated using:
[tex]S_n = \frac{a_0(r^{n-1} -1)}{r - 1}[/tex]
This gives
[tex]S_{25} = \frac{256 * (0.5^{25-1} -1)}{0.5 - 1}[/tex]
Evaluate
[tex]S_{25} = 512[/tex]
Hence, the sum of the first 25 terms is approximately 512
Read more about geometric series at:
https://brainly.com/question/24643676
#SPJ1
A right square pyramid and its dimensions are shown below.
Answer:
C) 8 m²
Step-by-step explanation:
Volume of a square pyramid :
V = 1/3BhV = 1/3 x (2.5)² x 4V = 1/3 x 25V = 25/3V = 8.3 ≈ 8 m²The average annual rainfall in Salt Lake City, Utah, is 18.58 inches, and the average annual rainfall in New York City is 46.23 inches. What might be the reason for the difference in the cities’ average annual rainfall?
A.
Utah is close to an ocean, while New York City is landlocked.
B.
New York City is close to an ocean, while Utah is landlocked.
C.
New York City lies in a rain shadow area.
D.
New York City is closer to mountains.
AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96
Answer:
BStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseExpand: In (4a)^3
help please
Answer:
[tex]3\ln 4 + 3 \ln a[/tex]
Step-by-step explanation:
[tex]\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a[/tex]
please help me!!!!!!!! will mark brainliest
Answer:
i) 0.5
ii) 0.76
Step-by-step explanation:
i) 0.5
ii) 0.76
Find the slope of the line through the each pair of points
(16, 14), (-2, 0)
Answer:
[tex]\text{Slope} = \dfrac{7}9[/tex]
Step-by-step explanation:
[tex]\text{Given that,}~ (x_1,y_1) = (16,14)~ \text{and}~ (x_2,y_2) = (-2,0)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{0-14}{-2-16}\\\\\\~~~~~~~~~~~~=\dfrac{-14}{-18}\\\\\\~~~~~~~~~~~~=\dfrac{7}9[/tex]
Answer:
m = 7/9
m = 7/9m ≈ 0.80
Step-by-step explanation:
Given two points:
(16, 14), (-2, 0)
To find:
The slope
Solution:
We know that,
[tex] \rm Slope(m) = \cfrac{ y_2 - y_1}{x_2 - x_1} [/tex]
According to the question,
y_2 = 0y_1 = 14x_2 = -2x_1 = 16Note:[The underscore refers to that the numbers after the underscore is a subscript]
So Substitute them on the formulae:
[tex] \implies \rm \: m = \cfrac{0 - 14}{ - 2 - 16} [/tex]
Simplify it.
[tex] \implies \rm \: m = \cfrac{ \cancel{- 14} \: {}^{7} }{ \cancel{- 18} \: {}^{9} } [/tex]
[tex] \implies \boxed{ \rm \: m = \cfrac{7}{9} }[/tex]
[tex] \implies \rm \boxed{ \rm m \approx0.80}[/tex]
Thus,the slope is 7/9 in fraction and 0.80 (Nearest tenth) in decimal.
enter the value of z when y = 7 and x = 14.
The value of z is 7 when y = 7 and x = 14.
Complete questionIf x varies directly as y and inversely as z and when y = 16 and z = 14, x = 16. Enter the value of z when y = 7 and x = 14.
How to determine the value of z?The variation involves a direct and inverse variation from x to y and z.
This is represented as:
[tex]x = \frac{ky}{z}[/tex]
Where k is the constant of variation
For the first set of values, we have:
[tex]16 = \frac{k * 16}{14}[/tex]
Solve for k
k = 14
For the second set of values, we have:
[tex]14 = \frac{k * 7}{z}[/tex]
Substitute 14 for k
[tex]14 = \frac{14 * 7}{z}[/tex]
Solve for z
z = 7
Hence, the value of z is 7
Read more about variation at:
https://brainly.com/question/6499629
#SPJ1
Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?
Answer:
180
Step-by-step explanation:
well 9×12=180 roger only works 20 hours he gets plaid $9 per hour he's working so yes the answer is 180
Answer:
180
Step-by-step explanation:
10×9=90, so 90+90= 180
The expansion of (1 + px +qx2)8 is 1 + 8x + 52x² + kx³+... . Calculate the values of p, q and k.
Ans:
[p = 1, q=3, k = 224]
how do i do this question? It’s binomial theorem.
Answer:
i think you have to multiply
Step-by-step explanation:
pls answer quickly, thanks!!
At the equilibrium price p, we can solve for the quantity of goods x :
demand = supply
5200 - 0.0005x = 2800 + 0.0003x
2400 = 0.0008x
x = 3,000,000
With this quantity of goods, the equilibrium price is
p = 5200 - 0.0005 (3,000,000)
p = 5200 - 1500
p = 3700
Find the value of x to the nearest tenth.
4.5
7.2
6.3
5.4
Answer:
there's no picture dude
12. If you buy a bag of pretzels ($0.75 per bag) and a Pepsi ($1.25) every weekday at work from a vending machine, how much do you spend on the vending machine products over the course of a year (52 weeks)
0.75 + 1.25 = $2 everyday
Since there are 5 weekdays:
5 x 2 = $10 a week
Since there are 52 weeks in a year:
10 x 52 = $520 a year!
There is a pair of parallel sides in the following shape.
6, 7 and 5
What is the area of the shape?
I think it's 28 units²