[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]
Answer:
[tex]x = \frac{1}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?
SELECT ALL CORRECT ANSWERS
Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift
Answer:
Step-by-step explanation:
g(x) = -2f(x)
Vertical stretch by virtue of the factor 2
Reflection over the x-axis by virtue of the factor -1
The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.
To transform the function f(x)=12ˣ into the function g(x)=−2(12)ˣ
Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.
The absolute value of the multiplier indicates the degree of compression/stretch.
The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).
Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.
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4. Prove or disprove the following statement: Given two numbers, increasing both numbers by 10% results in two numbers whose difference is the same as the difference of the two original numbers. Give a numerical example and explain.
Step-by-step explanation:
increase by 10% is the same as multiplying by 1.1.
so, we get the assumption that
x - y = 1.1x - 1.1y = 1.1(x - y)
for the case that x <> y, now we can divide both sides by (x - y) and get
1 = 1.1
and that is wrong in all cases.
so, it is disproven for all x <> y.
for x = y the statement is true, the difference is in both cases 0.
e.g.
100 and 200
the difference is 100
100+10% = 110
200+10% = 220
and the difference is 110 (different to the original 100).
but 100 and 100, sure, the difference is 0, and the difference between 110 and 110 is still 0.
adding a % to a number means the size of the added part depends on the size of the basic number. the same % of a larger number is larger than the same % of a smaller number. therefore, the distance grows.
Pls help plz thank you
Answer:
14, 31, 62
Step-by-step explanation:
11 + 3 = 14
14*2 = 28
28 + 3 = 31
31*2=62
22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answer:
me too i need help its in my HW and exam
Step-by-step explanation:
HELPPPPP please its worth 50
[tex](3 {m}^{6} {n}^{2} ) ^{3} .2m {n}^{4} \\ = {3}^{3} {m}^{6 \times 3} {n}^{2 \times 3} \times 2 m{n}^{4} \\ = 27 {m}^{18} {n}^{6} \times 2m {n}^{4} \\ = (27 \times 2) {m}^{18 + 1} {n}^{6 + 4} \\ = 54 {m}^{19} {n}^{10} [/tex]
Answer:
[tex]54 {m}^{19} {n}^{10} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Solution given:
[tex]\bold{(3m^6n²)³.2mn⁴}[/tex]
distribute power
[tex]3³m^{6*3}n^{2*3}.2mn⁴[/tex]
[tex]27m^{18}n^6.2mn⁴[/tex]
multiply like terms and add or subtract power in multiplication
[tex]27*2.m^{18+1}n^{6+4}[/tex]
[tex]\large{\bold{54m^{18}n^{10}}}[/tex] is a required answer
Select each equation which is equivalent to 60% of 25.
0.6 • 25 = x
x • 1.6 = 25
610=x25
60100=25x
x25=60100
6.0 • 25 = x
The equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100
Percentages can be expressed as decimals or fractions.
Given the expression 60% of 25, this can b expressed as:
60% of 25 = xwhere x is the result of the expression.
60/100 * 25 = xExpressing 60% as a decimal will give;
0.6 of 25 = x
0.6 * 25 = x
From the expression 60/100 * 25 = x, this can also be written as:
25 = 100/60 x
25 = 10/6 x
25 = 1.6x
Hence the equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100
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Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
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What is -27/8×7/10
Because odbeoqhqbebebsns
The answer to this problem is going to be -2.3625
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
Which equation is modeled on the number line below?
Answer:
A
Step-by-step explanation:
You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.
Hope this helps!
Rewrite the expression using the
distributive property.
3(a + 2) + 4a
3a + 6 + 4a
Now combine like terms.
[?]a + [
Enter
Answer:
Step-by-step explanation:
Answer:
7a + 6
Step-by-step explanation:
Expand the brackets and then collect like terms. 4a + 3a = 7a
1/3(x+6)=2/3(x-9)
multi step equation
[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]
Factor
3x2- 2x - 5
*(3xpower of 2 -2x-5)**
Answer:
16
Step-by-step explanation:
3×2-2×-5=
6-(-10)=
6+10=
16
Keri has some ball bearings. Each one is in the shape of a sphere with a radius of 6 mm.
(a) Find the volume of one ball bearing. Give your answer in mm3 in terms of pi
Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.
Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)
There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
A) 8000 x 1.67 ^ n = f B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
Learn more about maths in https://brainly.com/question/25851847
please help me out y'all
first graph= negative association
second graph = no association
third graph = positive association
2. Kiant is having a sale on ketchup. All
ketchup is 70% of its original
price. You want to buy Meinz' ketchup with an original price of $8.90.
What is the sale price?
Answer: $2.67
Step-by-step explanation:
$8.90 - $6.23 = $2.67
Brainliest? Im just trying to get to a higher rank
A raised flower bed is 40 feet long, 7 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds.
Area = length x width
Area = 40 x 7 = 280 square feet
Volume = length x width x depth
Volume = 40 x 7 x 1.2 = 336 cubic feet
HELLLP PLSSS QUICK
29 + 9x ≤ 65
solve for x
Answer:
x <= 4
Step-by-step explanation:
29+9x<65
-29. -29
9x<36
divide both sides by 9
x less than or equal to 4
Answer:
x ≤ 4
Step-by-step explanation:
29 + 9x ≤ 65
subtract 29 from both sides
29 - 29 + 9x ≤ 65 - 29
9x ≤ 36
divide both sides by 9
9x / 9 = x and 36 / 9 = 4
we're left with x ≤ 4
Convert the decimal or whole number to a percent. 1.15 3/8
Answer:
11.5% and 3.75%
Step-by-step explanation:
since 1.15 is greater than 1, we assume that its taken out of 10
therefore its percent will be 1.15/10*100=11.5%
as for 3/8 (0.375) its less than 1, so we assume its taken out of 1, therefore 0.375/1*100=3.75%
Help me with this ice cream problem lol.
Answer:
A is correct
Step-by-step explanation:
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)
Answer:
Step-by-step explanation:
how do you find the value of x on this triangle?
Answer:
Solving for X in a Right Triangle
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Are 3:5and 1:2 equivalent
Answer:
No. They are not equivalent.
Step-by-step explanation:
[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]
=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]
Therefore, 3/5 and 1/2 are not equivalent.
Hoped this helped.
Answer:
yes
Step-by-step explanation:
they are equivalent
PLZ SOLVE THE PROBLEM
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
→ Minus the 2 numbers from each other
[tex]-1\frac{1}{5} -1\frac{3}{10}[/tex]
→ Find the LCM
[tex]-1\frac{2}{10} -1\frac{3}{10}[/tex]
→ Simplify
[tex]-2\frac{5}{10} =-2\frac{1}{2}[/tex]
Write as a product 4x^4+8x^3-2x^2
Answer:
764x
Step-by-step explanation:
4^4=256
8^3=512
2^2=4
256-4+512=764
764x
Answer:
2x^2(2x^2+4x-1)
Step-by-step explanation:
The GCF is 2x^2 so pull apart each number and you will get your answer.
If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?
Answer:
The the relationship is linear
Step-by-step explanation:
If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.
Jaxon Rollison
10 of 1410 of 14 Items
Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answer:
6200
Step-by-step explanation:
first find how much she would make purely based on hours worked:
8x40 = 320 dollars
next subtract this from total on her paycheck so 692-320 is 372
we know that 372 is 6% of a number so...
[tex]\frac{6}{100}[/tex] x = 372
[tex]\frac{6x}{100}[/tex] = 372
6x= 37200(100)
x=6200 $ divide by 6
so she sold $6200 worth of merchandise to earn $372 of commission
how about these are they correct?
-355 - 165 = - (355+165) = -520
-150 - 126 = - (150+126) = -276
-201 - 124 = - (201+124) = -325
P/s: they are wrong. you need this " () "
ok done. Thank to me :>
Simplify completely
(192x^12/3x^3)^1/3
Show all work for full credit
Answer and Explanation: The answer and explanation is in the image.