The value of f(x) = x² - 2x at x=4 is 8.
What is function?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation
Given:
f(x) = x² - 2x
Replace the x with -4.
f(-4) = x² - 2x
Next, Evaluate the power.
= (-4)² - 2(4)
Now, Calculate the rest.
= 16 + 8
= 8
Hence, the value of f(-4) is 8.
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Which expression is equivalent to 3x + 6y?
Answer:
3x+6y =0
-6y
3x=-6y
x=-2y
Step-by-step explanation:
Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?
A. 180 g glucose per 1000 cm3 solution
B. 10.0 g glucose per 10.0 cm3 water
C. 90.0 g glucose per 500 cm3 water
D. 0.100 g glucose per cm3 solution
Answer:
Option C. 90.0 g glucose per 500 cm3 water
Step-by-step explanation:
1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.
The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.
Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.
For option B:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol
Mass of C6H12O6 = 10g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 10/180 = 0.056 mole.
Volume of water = 10cm³ = 10/1000 = 0.01dm³
Concentration = mole /Volume
Concentration = 0.056/0.01 = 5.6mol/dm³
Option B is wrong
For option C:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = 180g/mol
Mass of C6H12O6 = 90g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 90/180 = 0.5mole
Volume of water = 10cm³ = 500/1000 = 0.5dm³
Concentration = mole /Volume
Concentration = 0.5/0.5 = 1mol/dm³
Option C is correct.
For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.
From the above illustrations, option C is the correct answer.
please help me thank you in advance
Answer:
480
Step-by-step explanation:
The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480
Positive numbers have negative square roots.
O A. True
B. False
Answer:
false
Step-by-step explanation:
Answer: A. True because multiplying a negative number by a negative number gives you positive.
Step-by-step explanation:
Interpret the average rate of change of -14/3 that
you found previously. What does this mean in
terms of the waterslide, from x = 0 to x = 15?
Answer:
On average, the slide drops 14 feet for every 3 feet of horizontal distance.
On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
It is given in the question that Interprets the average rate of change of -14/3 that you found previously.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
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-3x-10=32 Icouldn't find the answer.
Answer:
x = -14
Step-by-step explanation:
-3x - 10 = 32
Add 10 on both sides
-3x = 42
divide both sides by -3 to isolate x
x = 42/-3
x = -14
Answer: -14
Step-by-step explanation:
-3x - 10 = 32
-3x = 32 + 10
x = -42/3 = -14
directions for constructing the centroid of a triangle?
Step-by-step explanation:
1.Draw a triangle
2. Measure one of the sides of the triangle
3. Place a point at the midpoint of one of the sides of the triangle.
4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.
5. Repeat steps 2-4 for the remaining two sides of the triangle.
Solve for d.
-10 =-2+1/2d
A d=-24
B. d=-16
C. d= -6
D. d=-4
Answer:
B.) -16
Step-by-step explanation:
-10=-2+1/2d
-8=1/2d
d=-8/1/2
d=-16
So B
The Perfect square numbers between 100 and 200 are ____
Pls help.
Step-by-step explanation:
The perfect square numbers between 100 and 200 are :
10^2 =100
11^2 =121
12^2 =144
13^2 =169
14^2 =196
A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000
The fair price for the house is $205.88.
The correct answer is option A.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the fair price for the house, we can use the equation of the line of best fit provided:
y = 0.074x + 50.48
where y represents the price of the house and x represents the square footage of the house.
We can substitute 2100 for x to find the price of the house.
y = 0.074(2100) + 50.48
y = 155.4 + 50.48
y = 205.88
Therefore,
The fair price for the house is $205.88.
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a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
What is the radius of a circle whose equation is x2+y2+8x−6y+21=0? Please just copy and paste this into brainly, I ran out of skips
Answer: 2
Step-by-step explanation:
Answer:
The Radius of the circle of center (-4, 3) is 2.
Radius = 2
Step-by-step explanation:
This is the general form:
[tex]x^2+y^2+8x-6y+21=0[/tex]
Let's convert this to standard form:
[tex]x^2+y^2+8x-6y+21=0[/tex]
[tex]x^2+y^2+8x-6y=-21[/tex]
Group/organize [tex]x[/tex] and [tex]y[/tex] terms:
[tex]x^2+8x+y^2-6y=-21[/tex]
[tex](x^2+8x)+(y^2-6y)=-21[/tex]
Now, let's begin the process to complete the square in both parentheses.
[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]
[tex](x+4)^2+(y-3)^2=4[/tex]
Which is the graph of y=[x]-2?
h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?
Answer:
6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!
Step-by-step explanation:
At Sami's Shoe Warehouse, it takes 4 over 5 day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? (5 points)
6 days
8 days
11 and 1/4 days
12 and 1/2 days
HELP AASAP BRAINLIEST WILL BE AWARDED
Answer:
8 days
Step-by-step explanation:
if it takes 4/5 of a day to complete 1/10 of the order of sneakers, you are trying to determine how long it will take to get to 10/10.
so first we can determine what we have to multiply 1 by to get 10.
the answer is 10, so we can multiple by 10 to determine the amount of days it took:
4/5 x 10 and 1/10 x 10
therefore: 4/5 x 10 = 8
meaning, it would take 8 days to complete an entire order of sneakers.
DEllAC AD=BE AB=16 BC=24
BE-? BD-?
Answer:
BE = 3.6 units
BD = 12.4 units
Step-by-step explanation:
From the picture attached,
Since DE║AC, ΔBDE and ΔABC will be similar.
In these similar triangles corresponding side will be in the same ratio.
[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]
[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]
[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]
1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]
1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]
1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]
1 = [tex]BE(\frac{3+2}{48})[/tex]
BE = [tex]\frac{18}{5}[/tex]
BE = 3.6 units
Therefore, AD = BE = 3.6 units [given]
Now BD = AB - AD
= 16 - 3.6
= 12.4 units
type 2 ways they are the same.
Answer:
if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry
Step-by-step explanation:
Add, write answers as a decimal 3/4 + 0.66
Answer:
1.41
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 + 0.66 = 1.41
Answer:
1.41
Step-by-step explanation:
4 divided by 3 = 0.75
0.66 + 0.75 = 1.41
Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6
Answer:
-4
Step-by-step explanation:
Given the following function:
f(x) = -4x + 6
We have to find the difference quotient of f(x); that is,
[f(x + h) - f(x)]/h
So, we ned to compute f(x + h) as follows:
f(x+h) = -4(x+h) + 6 = -4x - 4h + 6
Replacing into the difference quotient, we get:
[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h
[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h
[f(x + h) - f(x)]/h = [- 4h)]/h
[f(x + h) - f(x)]/h = -4
!!! Help
What is the measurement of angle A to the nearest degree???
Answer:
51 = A
Step-by-step explanation:
Using the law of sines
sin 95 sin A
------------- = -----------
9 7
Using cross products
7 sin 95 = 9 sin A
Divide each side by 9
7/9 sin 95 = sin A
Take the inverse sin of each side
sin ^-1 ( 7/9 sin 95) = A
50.78854367= A
To the nearest degree
51 = A
Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?
Simplify. PLEASE HELP
Answer:
0
Step-by-step explanation:
we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)
The (x-y) cancel out so the fraction becomes (x+y)
The two (x+y) also cancel out so it becomes 0
Answer:
0
Step-by-step explanation:
[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]
Hope this helps!
Simplify: 5x(2x-3y)
o 10x7 - 15xy
10x -8y
10.x2 -3y
10x7 - 15y?
Hey!!
5x(2x-3y)
=5x*2x- 5x*3y
= 10x^2-15xy
So the right answer is of option A
hope it helps.....
Answer:
the answer is 10x^2-15xy
Step-by-step explanation:
i cant make it any simpiller
Which graph represents the function f(x)=3x5^x
Answer:
top right corner
Step-by-step explanation:
Point O is the center of dilation. Triangle X Y Z is dilated to create triangle X prime Y prime Z prime. The length of O Z is 2 and the length of Z Z prime is 4. The length of side X prime Y prime is 9 and the length of side Y prime Z prime is 12. Triangle XYZ was transformed by DO,3. What is the length of side XY? 1.5 4.5 3 18
9514 1404 393
Answer:
3
Step-by-step explanation:
The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.
Answer:
short answer middle picture :)
Step-by-step explanation:
how do you compare 7/8 ___ 15/16 ?
Answer:
7/8 < 15/16
Step-by-step explanation:
Get a common denominator of 16
7/8 *2/2
14/16
14/16 < 15/16
so 7/8 < 15/16
PLS HELP MY HOMEWORK IS DUE SOON
Answer:
Seems like a personal issue
Step-by-step explanation:
Hint: Use your Brain!
pls help help me need help!!
Answer:
|-30| + |25|
Step-by-step explanation:
The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.
A. |-30| + |25| = 30 + 25 = 55
B. -30 - 25 = -55
C. -30 + 25 = -5
D. |-30| - |25| = 30 - 25 = 5
The correct expression is |-30| + |25| since it it the only expression that equals 55.
For each function, state weather it’s linear
Answer:
Step-by-step explanation:
function 1
slope=(1-0)/(0+2)=1/2
or slope=(4-1)/(2-0)=3/2
which is not same.
so it is not linear.
Function 2.
slope=(1+2)/(-3+4)=3/1=3
or slope=(4-1)(-2+3)=3/1=3
or slope=(7-4)/(-1+2)=3/1=3
slope is same. so it is linear.
Which of the following exponential functions represents the graph below?
Answer:
C
Step-by-step explanation:
So you should be looking for the right function.
Remember that any number to the power of 0 is by definition 1.
3 * 1 = 3
In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.
So if you substitute x= 0 the result should be 3.
3 * 1 = 3
The two functions that comply with that, are the ones in answers B or C.
In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.
The only function that complies with that is in answer C.