Answer:
x/8
Step-by-step explanation:
how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem
The inverse f'^{-1}x of the given function is x/8
Given the function y = 8x, we are to find the inverse of the function.
Replace y with x
x = 8y
Make y the subject of the formula
x = 8y
Divide both sides by 8\
x/8 = 8y/8
x/8 = y
Swap sides
y = x/8
Hence the inverse f'^{-1}x of the given function is x/8
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Grace, Jessica and Mia went out to dinner after the Volleyball game. Jessica bought two tacos, a coke and a mango smoothie and spent $14.74. Grace bought Mia's dinner. She bought 5 tacos, 2 cokes and 1 mango smoothie and spent $29.05. The mango smoothie cost three times as much as the coke. Determine the price of each item. Answer in a complete sentence.
Answer:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Step-by-step explanation:
Given
Represent Tacos with T, Coke with C and Mango with M
For Grace:
[tex]2T + C + M = 14.74[/tex] --- (1)
For Mia:
[tex]5T + 2C + M = 29.05[/tex] -- (2)
[tex]M = 3C[/tex]
Required
Determine the cost of each item
Substitute 3C for M in (1) & (2)
[tex]2T + C + M = 14.74[/tex]
[tex]2T + C + 3C = 14.74[/tex]
[tex]2T + 4C = 14.74[/tex] --- (4)
[tex]5T + 2C + M = 29.05[/tex]
[tex]5T + 2C + 3C = 29.05[/tex]
[tex]5T + 5C = 29.05[/tex] --- (5)
Divide through (5) by 5
[tex]T + C = 5.81[/tex]
Solve for C
[tex]C= 5.81 - T[/tex]
Substitute 5.81 - T for C in (4)
[tex]2T + 4C = 14.74[/tex]
[tex]2T + 4(5.81 - T) = 14.74[/tex]
[tex]2T + 23.24 - 4T = 14.74[/tex]
Collect Like Terms
[tex]2T - 4T = 14.74 - 23.24[/tex]
[tex]-2T= -8.5[/tex]
Solve for T
[tex]T = -8.5/-2[/tex]
[tex]T = 4.25[/tex]
Recall that:
[tex]C= 5.81 - T[/tex]
[tex]C = 5.81 - 4.25[/tex]
[tex]C = 1.56[/tex]
Recall that
[tex]M = 3C[/tex]
[tex]M = 3 * 1.56[/tex]
[tex]M = 4.68[/tex]
Hence:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
1, 3, 7, 15, 31, .
What is the pattern
Answer:
Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.
A recycling bin is shaped like a trapezoid. The bottom 2 angles are 108 degrees. The top left angle is 72 degrees. The front view of a recycle bin is shaped like a trapezoid. What is the measure of the remaining angle? 72° 144° 198° 252°.
The measure of the remaining angle is 72 degree, the correct option is A.
What is the trapezoid?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.
Given
A recycling bin is shaped like a trapezoid.
The bottom 2 angles are 108 degrees.
The top left angle is 72 degrees.
The front view of a recycle bin is shaped like a trapezoid is given by;
[tex]\rm \angle 1+ \rm \angle 2+ \rm \angle 3+ \rm \angle4= 360\\\\108+108+72\rm +\angle 4=360\\\\\rm 288+\angle 4 = 360 \\\\\rm \angle 4=360-288\\\\\rm \angle 4=72[/tex]
Hence, the measure of the remaining angle is 72 degree.
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Answer: A) 72
Step-by-step explanation: I got it right
What is the factored form of 3x+24y?
O 3(x+8y)
0 3xy(x+8y)
O 3(3x+24y)
O 3xy(3x+247)
Plzz helpp
Answer:
3(x + 8y)
Step-by-step explanation:
3 is the highest term that can be factored out; there are no other numbers/variables in common.
Factor out 3 from 3x + 24y.
= 3(x+8y)
The factored form of the given expression is 3(x+8y).
What are factors?A factor is a number that divides into another number without a remainder. So, for example, 5 is a factor of 20 because 20/5 = 4. There is no remainder. You can also think of factors as the numbers that you multiply together in order to obtain a product.
Given is an expression 3x+24y, we need to find the factors of the given expression,
3x+24y
Since, 3 is the highest term that can be factored out; there are no other numbers/variables in common.
Factor out 3 from 3x + 24y.
= 3(x+8y)
Hence, the factored form of the given expression is 3(x+8y).
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What is the equation in slope-intercept form of a line with
а
slope - and y-intercept -2?
3
4
OA) y=_x+2
)
3
4
4.
OB) y=2x +
3
4
OC) y=-x+2
3
v
=x+2
4.
OD) y=-x-2
3
-
Answer:
D
Step-by-step explanation:
sorry about last time 100% sure about this one
Answer: D, because y =mx + b
X + 2x - 9 + xy - 2 - 3x + 2xy - 4
Answer:
3xy-15 thats the simplified form
The medium sushee has 17 more ounces than the small slushee
The large slushee has 6 times as many ounces than the small slushee
The Slushee Company says there are 113 ounces total in the small, medium, and large drinks
How many ounces are in cach size slushee?
Answer:
A small slushee has 12 ounces.
A medium 29 ounces.
And a large 72 ounces.
Step-by-step explanation:
Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.
We know that the medium slushee has 17 more ounces than the small slushee. So:
[tex]m=s+17[/tex]
We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:
[tex]l=6s[/tex]
Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:
[tex]s+m+l=113[/tex]
We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:
[tex]s+(s+17)+(6s)=113[/tex]
Combine like terms:
[tex]8s+17=113[/tex]
Subtract 17 from both sides:
[tex]8s=96[/tex]
Divide both sides by 8:
[tex]s=12\text{ oz}[/tex]
So, the small slushee is 12 ounces.
So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]
And the large slushee is [tex]6(12)=72\text{ oz}[/tex]
And we're done!
Find the magnitude of the vector <5, −3>.
1. 5.8
2. 6.1
3. 5.2
4. 4
Answer:
5.8
Step-by-step explanation:
[tex]\sqrt{5^{2} + (-3)^{2} } \\\sqrt{25 + 9} \\\sqrt{34}[/tex]
5.83
hope it helps
Answer:
5.8
Step-by-step explanation:
well, you use the distance formula to find the magnitude of this vector.
Hope this helps!
Write 5/2 as a mixed number
5/2 can be written as 2 1/2
2*2 = 4 + 1 = 5
Answer:
2 1/2
Step-by-step explanation:
you divide 5 into 2, to get 2 and 1 left over
What is the approximate length of the diameter, d? Use 3. 14 for. Round to the nearest tenth of a centimeter. 4. 0 centimeters 8. 0 centimeters 15. 9 centimeters 31. 8 centimeters.
The temperature on Monday was 64.8 degrees and the temperature on Tuesday was 7.65 degrees warmer. What was the temperature on tuesday?
Answer:
72.45°
Step-by-step explanation:
Add 7.65° to 64.8°
The temperature is 72.45° on Tuesday.
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Answer:
Step-by-step explanation:
Monday=64.8
Tuesday= 64.8+7.65
=72.45
How to you round 6 3/7 to the nearest hundred s
Answer:
0
Step-by-step explanation:
63/7 = 9
We know,
If any number smaller then fifty told to be rounded to its nearest hundred then the answer is ' 0 '
Similarly the nearest hundred of 9 is 0.
Hope it helps
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which is larger -17/24 or -11/12
Answer:
-17/24
Step-by-step explanation:
Because they are negative numbers, the smaller fraction (when disregarding the negative sign) is always a larger number. -11/12 could be changed to -22/24, and therefore since it is a larger number when disregarding the negative (22/24), it is a smaller number altogether.
-17/24 > -22/24
mont 10: The diagonals of a square bisect the vertical engles yp 1: Draw a square ABCD. Draw diagonals AC and BD. D B A | 2: of each vertical angle by the diagonals. Write the measurements in the table. Vertical angles Other angles formed by diagonals at Result each vortex ZBAD = ROZBAC ZCAD ZBAC = CAD LABD = ZCBD = ZABD = ZCED ZBCA ZACD ZBCA ZACD ZADB BDC = ZADE - EDC ABC = BCD ADC Conclusion: The diagonals of a square bisect the vertical angles.
Answer:
square the vertical starting from bisect angle !
When soling a system of liner equations, try to algebraically form one equation that has only one variable
Answer:
Yes
Step-by-step explanation:
It helps you to understand the equation easily
HOPE IT HELPED
Point (2, 4) is reflected across the x-axis. What are
the coordinates of its image?
Answer:
The coordinates of its image are (2, -4)
Step-by-step explanation:
Let us revise the rules of reflection across the axes
If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y) If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)∵ The point (2, 4) is reflected across the x-axis
→ By using the first rule above rx-axis (x, y) → (x, -y)
∴ Change the sign of its y-coordinate
∴ Its image is (2, -4)
∴ The coordinates of its image are (2, -4)
Help the possible answers for the picture are 25, 49, 175, or 196
Answer:
175[tex]mm^{2}[/tex]
Step-by-step explanation:
Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:
1225 ÷ 7 = 175
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Answer:
175
Step-by-step explanation:
At his yearly checkup,John was 68 inches tall. What is another way yo express 68 inches
2. Find f(2) for
the function
below.
f(x) = 1/8•5^x
Answer:
f(2) = [tex]\frac{25}{8}[/tex]
Step-by-step explanation:
To evaluate f(2) substitute x = 2 into f(x) , that is
f(2) = [tex]\frac{1}{8}[/tex] × 5² = [tex]\frac{1}{8}[/tex] × 25 = [tex]\frac{25}{8}[/tex]
Answer:
24/8
Step-by-step explanation:
BIG BRAIN
Which point has the coordinates (-2.5, 5.5)?
A.
point E
B.
point F
C.
point G
D.
point H
Write the equation for a parabola with a focus at (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis and a directrix at y=6y=6y, equals, 6.
y=
Answer:
y = -1/8(x -1)² +4
Step-by-step explanation:
The equation of a parabola can be written from focus and directrix using the form ...
y = 1/(4p)(x -h)² +k
where p is the distance from vertex to focus, and (h, k) is the vertex.
The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...
p = (2 -6)/2 = -4/2 = -2
The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...
(h, k) = ((1, 2) +(1, 6))/2 = (1, 4)
__
Using these values of p and (h, k), we find the equation of the parabola to be ...
y = 1/(4(-2))(x -1)² +4
y = -1/8(x -1)² +4
_____
Additional comment
You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.
Answer:
y=-1/8(x-1)^2 +4
Step-by-step explanation:
Solving Linear Equations Unit Test 16 of 20Items Item 16 Gold has a density of 0.70 pounds per cubic inch and copper has a density of 8.96 grams per cubic centimeter. How much will 1 cubic foot of each metal weigh? 1 ft3 = 1728 in3, 1 ft3 = 28,316.8 cm3, and 1 lb=453.5 g. Use the equation rho=mV. (1 point) The gold will weigh 4063.4 pounds and the copper will weigh 12,096 pounds. The gold will weigh 559 pounds and the copper will weigh 1209.6 pounds. The gold will weigh 12,096 pounds and the copper will weigh 4063.4 pounds. The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds.
Answer:
1 ft³ of gold will weigh 1209.6 pounds
1 ft³ of copper will weigh 559 pounds.
Step-by-step explanation:
We know the formula for:
Density = Mass/Volume
Hence, making mass the subject of the formula:
Mass = Density × Volume
From the question we are told:Volume of each metal = 1 ft³
1) Metal: Gold
Density of Gold = 0.70 pounds per cubic inch(lb/in³)
We convert the Volume of gold from ft³ to in³
The Volume of gold given in the question = 1 cubic foot = 1 ft³
1 cubic foot = 1728 cubic inches
Hence, the volume of Gold = 1728 in³
Mass of Gold = Density of Gold × Volume of Gold
Mass of Gold = 0.70Ib/in³ × 1728 in³
= 1209.6 lb(pounds)
2) Metal : Copper
Density of copper given in the question = 8.96 grams per cubic centimeter
Ib = pounds
We convert this density in g/cm³ to ib/in³
453.5g = 1 Ib
8.96g = a Ib
Cross Multiply
= 453.5g × a Ib =8.96g × 1 Ib
= a Ib = 8.96g × 1 Ib/453.5g
a Ib = 0.0197574421 Ib
Density of Copper = 0.0197574421 Ib/cm³
28,316.8 cm³ = 1 ft³
1 cm³ = b ft³
b ft³ = 1 cm³ × 1 ft³/28,316.8cm³
b ft³ = 0.0000353147 ft³
1 cm³ = 0.0000353147 ft³
We have to convert the density of Copper from Ib/cm³ to Ib/ft³
0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³
559.46793026 Ib/ft³
Volume of copper = 1ft³
Mass = Density × Volume
Mass of copper = 559.46793026 Ib/ft³ × 1 ft³
= 559.46793026 Ib or pounds
≈ 559 pounds
Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.
Answer:
Gold
Density of Gold = 0.70 pounds per cubic inch
1 cubic foot = 1728 cubic inches
Hence, the volume of Gold = 1728 in³
Mass of Gold = Density of Gold × Volume of Gold
Mass of Gold = 0.70Ib/in³ × 1728 in³ = 1209.6 lb(pounds)
2) Metal : Copper
Density of copper given in the question = 8.96 grams per cubic centimeter
We convert this density in g/cm³ to ib/in³
453.5g × a Ib =8.96g × 1 Ib = 8.96g × 1 Ib/453.5g = 0.0197574421 Ib
Density of Copper = 0.0197574421 Ib/cm³
Volume of copper = 1ft³
Mass = Density × Volume
Mass of copper = 559.46793026 Ib/ft³ × 1 ft³ = 559.46793026 Ib or pounds
≈ 559 pounds
The weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.
THIS ID DUE TODAY! MATH.
Answer: Inverse
Explanation: Any conditions that doesn't fit the requirement of the conditional statement would make the statement false, therefore it is inverse.
Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees
Answer: 7:3 is the ratio of the problem
Step-by-step explanation:
What are the values of v and w?
Answer: i think 130 and 80
Step-by-step explanation: sorry if wrong
PLEASE HELP! I WILL MAKE BRAINLIST!
Answer:
the answer is b because that's the slope
Answer:
B
Step-by-step explanation:
you can try each answer or you can just use number of plants and divide it by number of seed packets which is 10 so B
James was making cupcakes for a bake sale. The recipe he had uses 2 eggs for every dozen cupcakes. If James needed to make 18 cupcakes, how many eggs would he use?
Answer:
3 eggs
Step-by-step explanation:
For 12 cupcakes, 2eggs are required.
For 18 cupcakes, 3 eggs are required.
[Use multiplication table of 6, 6*2=12 and 6*3=18]
Lance has 3 time as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
Lance is said to have 3 times the pencils Nick has.Let's keep the number of pencils Nick has as x.If Nick has x pencils that means Lance has 3x pencils. The total number of pencils present is 84.Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
(u + 9) 10 distributive property
= 10 (u + 9)
= 10 x u + 10 x 9
= 10u + 90
80 is M% of 25. What is M? Explain your answer