Answer:
1
Step-by-step explanation:
3(2x + y) + 4(x – 4y) + x2
Answer:
12x-13y
Step-by-step explanation:
6x+3y+4x-16y+2x
combine like terms
12x-13y
Classify: d + 53
a. variable expression
b. numerical expression
Answer:
a variable expression
Step-by-step explanation:
because it consists unknown variable d
We want to cut an apple pie of 9-inch diameter into equal slices, so that the area of each slice is at
least 10 square inches. What’s the maximum number of slices we can cut? please help
Answer:
Step-by-step explanation:
A'=25.4469 square inches Explanation:diameter is 18shape is circularArea of full pizza is A= ×1824Number of slices is 10 equalArea of each slice is A'=110AA'=110×π×1824A'=25.4469 square inches
For a function f(x), the difference quotient is 21x2 + 21xh + 7h2 + 2. Which statement describes how to determine the average rate of change of f(x) from x = –3 to x = 2? Substitute –3 for x and 2 for h in the difference quotient. Substitute –3 for x and 5 for h in the difference quotient. Substitute 2 for x and –3 for h in the difference quotient. Substitute 2 for x and –5 for h in the difference quotient.
Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
Answer:
(on edge) B. Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
- sinx
dy/dx = ?
cosx or -cosx?
Step-by-step explanation:
y=-sinx
dy/dx = d(-sinx)/dt= -cosx
hope it helps
Answer:
[tex]y = - \sin(x) \\ \frac{dy}{dx} = - \frac{d}{dx} ( \sin(x) ) \\ \boxed{ \frac{dy}{dx} = - \cos(x) }[/tex]
dy/dx = -cos(x) is the right answer.
The bottom of a ladder must be placed 4.6 feet away
from a wall for the safety of the person climbing the
ladder. The ladder is 15.2 feet long. How high up does
the ladder reach?
Answer:
2.44ftStep-by-step explanation:
In this problem, we are going to use Pythagoras theorem to solve for the height
given
x= 4.6 ft
hypothenus=15.2
y=?
we know that
hyp^2=x^2+y^2
15.2=4.6^2+y^2
15.2-4.6^2=y^2
15.2-21.16=y^2
5.96=y^2
√5.96=y
y=2.44ft
the height of the ladder is 2.44ft
John and kim shared $2400 dollars in the ratio 2:6.What is kim's share ?
Answer:
she has $1,800
Step-by-step explanation:
to solve we divide 2,400 by 8, which is the total amount of the 2 together. then we get 300 per share, and so we multiply that by kim's 6. to check, we can do 2(300)+6(200) which gives us our origional value of 2,400.
Hope this helps, please rate 5 stars and give brainlest!
Evan measured a house and made a scale drawing. The scale of the drawing was 3 centimeters = 7 meters. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.
Can anybody help me with this?
how do u find the constant RATIO of the exponential curve
Answer:
We call base 2 the constant ratio. In fact, for any exponential function with the form f(x)=abx f ( x ) = a b x , b is the constant ratio of the function. This means that as the input increases by 1, the output value will be the product of the base and the previous output, regardless of the value of a.
Step-by-step explanation:
Notice from the table that:
the output values are positive for all values of x
as x increases, the output values increase without bound
as x decreases, the output values grow smaller, approaching zero
The graph below shows the exponential growth function
f(x)=2x
Steve spent 1/4 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $867 was left, what was his monthly salary?
Answer:x=(45/31)*1426=$2070. ANSWER
20% of that is $414
1/9 of that is $230
They add to $644
What is left is $1426.
Step-by-step explanation:
Answer:1428
Step-by-step explanation:
x−1128x
=867
(1−1128)x
=867
Factor out x.
1728x
=867
Simplify.
x
=1428
Solve for x.
Find the equation of the hyperbola if y=2x−5 and y=−2x+3 are the asymptotes, and it is known that one of the vertices is on the y-axis.
Answer:
(x-2)^2/4 - (y+1)^2/16 = 1
Step-by-step explanation:
The first thing you want to do is find the center of the hyperbola. Since you have the two equations of the asymptotes, their intersection must be what you want. setting 2x - 5 equal to -2x + 3, you get that x = 2, meaning that 2 is the x-coord of your center. Plugging this value of x into the equations, you get that y = -1. Now that you have your center, you have the information that one of the vertices is on the y-axis. Since the distance from the center to the vertice must be a straight line, you know for sure that this hyperbola is a horizontal one (a vertical one would not have a vertice on the y-axis given this center). Knowing this, you have the equation form (x-2)^2/a^2 - (y+1)^2/b^2 = 1. I got a little confused here, but remember that you now know the center and the equations of the asymptotes. y = 2x - 5 is equal to 2(x - 2) - 1. The form of the asymptotes of a horizontal hyperbola is b/a(x-h) + k, which means that b/a must be equal to 2. This also means that 2a = b, and 4a^2 = b^2. Now you can substitute b^2 for 4a^2, leaving you with the equation (x-2)^2/a^2 - (y+1)^2/ 4a^2 = 1. Remember that vertice on the y-axis? Since it must be at the same y-coordinate (since you know that it must be a horizontal line from the center to the vertice), you know the vertice has to be (0, -1). You can plug these values into the previous equation, which gives you (0 - 2)^2 / a^2 - 0 = 1. This leaves you with 4/a^2 = 1, which means that a must be 2. Since you already know that b is 2a, b must be equal to 4. Plugging those values into the equation, you get your final answer, (x-2)^2/4 - (y+1)^2/16 = 1.
Weldon bought a pair of hiking boots that cost $64.00 before tax. If a 7.5% tax is added to Weldon's total, how much did he spend in total on the hiking boots? Round to the nearest cent, if necessary.
Answer:
68.80
Step-by-step explanation:
64 x (7.5% +1)
64 x 1.075 = 68.80
Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 856,000 tritium atoms remained undisturbed for 13 years. How much tritium does the bottle contain now?
Answer: if you’re rounding to the nearest whole number it’s
439,421
Step-by-step explanation:
The number of tritium atoms that the bottle contains now is; 439,384.8 atoms.
How much tritium does the bottle contain now?It follows from the task content that;
The large bottle of water that contained 856,000 tritium atoms remained undisturbed for 13 years.On this note, the number of atoms remaining is;
N = 856,000 × (0.95)¹³
N = 856,000 × 0.5133
N = 439,384.8 atoms
Read more on radioactive decay;
https://brainly.com/question/1383030
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Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256
Which statement best describe Haley’s first error?
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256
Which statement best describe Haley’s first error?
Answer:
256
Step-by-step explanation:
You multiply -2 an even amount of time which gives you a positive answer, if you were to multiply them an odd amount of times then it would be a negative number.
Answer:
The other guy is correct it is d Haley misinterpreted and got the wrong sign
Step-by-step explanation:
hmm i get it very well then thanks alot
Answer:
B. 1002
Step-by-step explanation:
0.o :P XD :V
which is the equation of a parabola with vertex (0,0) that opens to the left and has a focal width of 12? please select the best answer from the choices provided
Answer:
Mention any Two study routes(courses or program) that higher education could offer.
Which statements are true when solving x^2=81
Answer:
d.) the only solution is 9.
Step-by-step explanation:
The only way to solve this equation is to get the square root:
x^2 = 81
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{81}[/tex]
x = 9
The square root of 81 is 9 and the square root of x^2 is just x.
Please mark me the brainliest!?!
Answer:nahh , had that question & i picked "D" but it said its E & A.
Step-by-step explanation:
I need help on this problem ASAP !!! :)
Answer:
[tex]\displaystyle 8,9[/tex]
Step-by-step explanation:
Deduct one from nine to get eight, then use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 4^2 = x^2 \hookrightarrow 64 + 16 = x^2 \hookrightarrow \sqrt{80} = \sqrt{x^2}; 4\sqrt{5}\:[or\:8,94427191...] = x \\ \\ \boxed{8,9 \approx x}[/tex]
I am joyous to assist you at any time.
Asap! I’ll mark you brainlest
What does How much did each candy bar cost?
Add
Subtract
Divide
Multiply
Answer:
One candy bar cost $4.02
Step-by-step explanation:
14.19 - 5.79 = 8.4 (total candy bar cost)
8.4 / 2 = 4.2 cost of one candy bar
Answer:
4.2
Step-by-step explanation:
14.18-5.79 = 8.4
8.4/2 = 4.2
Least common denonminator of 9 over 10 and 4 over 5
Answer:10!
Step-by-step explanation: Rewriting input as fractions if necessary: 9/10, 4/5 For the denominators (10, 5) the least common multiple (LCM) is 10. LCM (10, 5)Therefore, the least common denominator (LCD) is 10. Calculations to rewrite the original inputs as equivalent fractions with the LCD: 9/10=9/10×1/1=9/104/5=4/5×2/2=8
You can multiply -2.2 by 6.2 to find the total variation in water level. What decimal represents the total variation in water level that Ericka observed?
Answer:-13.64
Step-by-step explanation:
Need help with this math problem please
A rectangle's length, f(x), is 2 more than three times a unit length, x, and its width, g(x), is twice the unit length, x. Combine functions f(x) and g(x) to get h(x). Which is h(x) written in the simplest form? H(x) = 5x + 2 h(x) = 6x + 2 h(x) = 6x2 + 2 h(x) = 6x2 + 4x
Answer:
[tex]h(x)=6x^2+4x[/tex]
Step-by-step explanation:
As the rectangle's length, f(x), is 2 more than three times a unit length, x, so,
f(x)=3x+2
As the rectangle's width, g(x), is twice the unit length, x, so,
g(x)=2x.
The length and width of the rectangle are related to the area and the perimeter of the rectangle. So, the length, f(x), and the width, g(x), can be combined to give the area or perimeter, h(x).
So, h(x) might be the area or the perimeter of the rectangle.
If h(x) is the area, then
[tex]h(x)=f(x) \times g(x)[/tex] [as area=lenght x width]
[tex]\Rightarrow h(x)=(3x+2)\times 2x[/tex]
[tex]\Rightarrow h(x)=6x^2+4x[/tex] (this is in the given options)
If h(x) is the perimeter, then
[tex]h(x)=2\{f(x) + g(x)\}[/tex] [as perimeter=2(lenght + width)]
[tex]\Rightarrow h(x)=2\{(3x+2)+ 2x\}[/tex]
[tex]\Rightarrow h(x)=2(5x+2)[/tex]
[tex]\Rightarrow h(x)=10x+4[/tex] (not in the given options)
So, from the given options [tex]h(x)=6x^2+4x[/tex] is correct.
Answer:
h(x) = 6x^2 + 4x
Step-by-step explanation:
Got it right on lesson.
Jim is 50% as tall as a ladder. The ladder is 12 feet tall. How tall is Jim?
Answer:
Jim is 6ft tall
Step-by-step explanation:
This ladder is 12 feet tall. And Jim is half of it (Fifty %) So, Therefore Jim is 6ft tall
PLEASE HELP!!! I REALLY NEED THIS
Answer:
The length of the third side is √73
Step-by-step explanation:
To find the third side, we use the Pythagorean Theorem: a² + b² = c²
a² and b² are the two smaller sides
c² is the longest side
The two shortest sides are 4√2 and ?
The longest side is 9
a² = 4√2²
b² = ?
c² = 9²
Now we put together the equation:
4(√2)² + b² = 9²
The square of √2 is 2
4 × 2 + b² = 9²
Multiply 4 and 2 to get 8
8 + b² = 9²
Calculate 9 to the power of 2 and get 81
8 + b² = 81
Subtract 8 from both sides
8 + b² - 8 = 81 - 8
Subtract 8 from 81 to get 73
b² = 73
Take the square root of both sides of the equation
√b² = √73
Simplify
b = √73
Length of third side: √73
Answer in decimal form: 8.5440037453175311678716483262397
A (x) = x ^ 4-2022x ^ 3-2022x ^ 2-2022x-2022
A (2023)?
Answer:
1
Step-by-step explanation:
Through simply substituting your value into everywhere there is an 'x', you can get your answer.
[tex]A(2023)=(2023)^4-2022(2023)^3-2022(2023)^2-2022(2023)-2022\\A(2023)=1[/tex]
I am thinking of a number, I multiply it by 12 and subtract 194, I get the same answer if I multiply by 5 and subtract 12
We have a circle with origin O, diameter AD and AB||CB. Prove AB=CD.
Answer:
draw a start to D to A and to B
then put some period to O
Step-by-step explanation:
THANKS ME LATER TYYY AND MAKE ME BRAINLESS
find the value of x plz plz plz
Answer:
X=28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
A triangle always has 180° so that means 40° (2x+9)° and another angle add up to 180°.
We can find out two angles in order to find out the third, one of them is 40° the other is 180°-105° because there are 180° on a line.
you get 75.
75°+40°=115°
180°-115°=65°
2x+9=65°
Make x the subject of the formula:
2x=56
(take away 9)
x=28
(divide both sides by 2)