Step-by-step explanation:
a)
[tex]f(x+h) = 2(x+h)-9[/tex]
[tex]f(x+h)=2x+2h-9[/tex]
b)
[tex]f(x+h)-f(x)=2x+2h-9-(2x-9)[/tex]
[tex]f(x+h)-f(x)=2x+2h-9-2x+9[/tex]
[tex]f(x+h)-f(x)=2h[/tex]
c)
[tex]f(x+h)-f(x)h=2x+2h-9-h(2x-9)[/tex]
[tex]f(x+h)-f(x)h=2x+2h-9-2hx+9h[/tex]
[tex]f(x+h)-f(x)h=-2hx+11h+2x-9[/tex]
Use the [tex]lim_{x-0} \frac{sinx}{x}=1[/tex] to determine [tex]lim_{x-0} \frac{xcos5x}{sin5x}[/tex].
Rewrite the limit as
[tex]\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = \lim_{x\to0} \frac{5x}{\sin(5x)} \cdot \lim_{x\to0} \frac{\cos(5x)}5[/tex]
Then using the known limit,
[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}x = 1 \implies \frac1{\lim\limits_{x\to0}\frac{\sin(x)}x} = \lim_{x\to0}\frac x{\sin(x)}=1[/tex]
it follows that
[tex]\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = 1 \cdot \frac{\cos(0)}5 = \boxed{\frac15}[/tex]
URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
Answer:
A: Reflection over the y-axis
B: Translation 3 right
C: Translation 4 down
D: Reflection over the x-axis
Step-by-step explanation:
A: This is a reflection over the y axis because we can tell it has been flipped to the other side, vertically.
B: Count the spaces between the two 'P's, getting 3 to the right. This is not a reflection because it is facing the same way.
C: Count the spaces between the two 'P's, getting 4 down. Again, this is not a reflection because it is facing the same way.
D. This is a reflection over the x axis because we can tell it has been flipped to the other side, horizontally.
Hope it helps!
Find the equation of a line parallel to 2x-2y=-4 that passes through the
point (3,9).
The line which is parallel to 2x-2y=-4 that passes through the
point (3,9) is x-y = -6.
Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.
Let's proceed to find the equation of the line.
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Using the slope-intercept formula, the equation of the line is:
y = mx + b
where,
m = the slope of the line
b = y-intercept of the line
(x, y) represent every point on the line
x and y have to be kept as the variables while applying the above formula.
2x-2y = -4
-2y = -4-2x
y = -4/-2 - 2x/-2
y = 2+x
y = x+2
On comparing with y = mx+b
m = 1 and b = 2
As the lines are parallel then the slope of other line will also be same i.e., m = 1
The point from which it is passes is (3,9)
⇒ x₁ = 3 and y₁ = 9
y-y₁ = m(x-x₁)
⇒ y-9 = 1(x-3)
⇒ y-9 = x-3
⇒ y = x-3+9
⇒ y = x+6
⇒ x-y = -6
Therefore, the line which is parallel to 2x-2y=-4 that passes through the
point (3,9) is x-y = -6.
Hence, x-y = -6 is the required answer.
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Which of the following is the same as the equation x + 5y = 4x - 3y ?
a) 3x = 2y b) 3x=8y c) 5x = 2y (d) 6x=y
Answer:
b
Step-by-step explanation:
x + 5y = 4x - 3y ( subtract 4x from both sides )
- 3x + 5y = - 3y ( subtract 5y from both sides )
- 3x = - 8y ( multiply both sides by - 1 )
3x = 8y → b
2(3/4L-1) + 2(18) = 2L + 2(12)
2(3/4L-1) + 2(18) = 2L + 2(12)
Distribute
3/2 L -2 +36 = 2L +24
Subtract 3/2 L from each side
-3/2 L-3/2L
-2+36 = 4/2L-3/2L +24
34 = 1/2L +24
Subtract 24 from each side
34-24 = 1/2 L +24-24
10 = 1/2L
Multiply each side by 2
10*2 =1/2L * 2
20 = L
9583cm=9hm+5dam+8m+3cm
Answer:
a=(9580c-8-9h)/5d
Step-by-step explanation:
9hm+5dam+8m+3cm=9583cm
Subtract (9hm+8m+3cm) from both sides
5dam=9580mc-8m-9mh simplify
then divide both sides by 5dm
a=(9580c-8-9h)/5d
THIS QUESTION IS VERY UNCLEAR SO I JUST SOLVED FOR A
Are these right? Geometry by the way
Answer:
ABM is 60; DBC is 60; CBM is 120; HGF is 120; EFM is 120
Step-by-step explanation:
Evaluate the expression when c=-3 and x=3 and x-2c
⇒Plug in places the given values in the expression x-2c and simplify
given that x=3 and c =-3
⇒[tex]=(3)-2(-3)\\=3+6\\=9[/tex]
The expression evaluated at the given variables is equal to 9.
write 1062 correct to the nearest thousand
Answer:
1062 would be 1000 because if you are rounding anything less than 5 is 0 and everything behind it is 0
Please help! 8th grade pre-algebra math question
Answer:
a) 16
Step-by-step explanation:
[tex]x^{2} =(-4)^{2} =(-4)(-4)=16[/tex]
Hope this helps
PLEASE HELP MEEEEEEEEEE
18 Answer:
Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Sum of 8 and a number
19 Answer:
Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Ten less than a number
20 Answer:
Write the verbal sentence as an equation or an inequality:
The sum of three and x is ten.
21 Answer:
Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
22 Answer:
Write an equation or inequality to model the situation:
The distance d to school is 1 1/2 miles more than the distance p to
the park.
23 Answer:
Write an equation or inequality to model the situation:
The perimeter of a square with a side length s is greater than or equal
to seventy plus five.
Answer:
Yquandary dinglegrt
Step-by-step explanation:
go and minijrir
18) x+8 or 8+x
19) x-10
20) x+3=10
22)4>6t or 6t<4
23)4s[tex]\geq[/tex]70+5
Which correctly shows the title of a movie?
"In an Old House"
In an Old House
Answer:
The answer to your question is A "In an Old House" I hope this helps
Sorry if I am wrong
Answer: It would be "In an Old House"
Step-by-step explanation:
a company has learned that by pricing a newly-released toy at 6 Stars sales will reach 2,000 per day raising the price to $8 will cause the sales to fall thousand per day assume the ratio of change in price to change in daily sales is constant and let X be the price of the toy and Y be the number of sales.find the linear equation that models the price sales relationship for this toy. use this equation to predict the daily sales of the toy if the price is set at $6.50
Ek, this is the solution:
Step 1: Let's review the information provided to us to answer the problem correctly.
Sales of the new toy = 2,000 per day
Price of the toy when sales are 2,000 per day = $ 6
Ther
(-1, 2), slope = 2 slope intercept form
Answer:
Slope-intercept form is given as y = mx + c where m is the slope and c is the y-intercept.
Since slope = 2, equation is y = 2x + c.
Substitute (-1,2) into the equation to find c.
2 = 2(-1) + c
c = 4
Hence, equation is y = 2x + 4
11.7 divided by 26.2
Answer:
Step-by-step explanation:
the answer is 0.4465 or if needed to be rounded then 0.45
Hayden recorded his speed while walking and determined he walked 120 feet in 30 seconds . At this rate how many feet will Hayden walk in 45 seconds
Answer:
180
Step-by-step explanation:
120ft/30sec=4sec per ft
45-30=15
4(15)=60
120+60=180
I need help on this one:)
iven: ²
equired:
xplanation:
Since the graph is translated vertically downwards by 3 units, so the function f(x) is
[tex]\begin{gathered} f(x)=h(x)-3 \\ f(x)=3x^2-6-3 \end{gathered}[/tex]Hence, the function is
[tex]f(x)=3x^2-9[/tex]inal Answer
[tex]f(x)=3x^2-9[/tex]Simplify fully 12(x - 2)² /6(x-2)(x + 5) 4
Solve for x.
4(3x - 5) = 6x-2
Answer:
x = 3
Pls, choose me as brainliest!
Please help I’ll mark you as brainliest if correct!!
Set A ={q, g, c, z, b}
What is a Venn diagram?
A Venn diagram is a popular diagram type for displaying the logical relationship between sets. Venn diagrams display all potential relationships between the sets by having all of the curves overlap in every way.Simple closed curves depicted on a plane are used in Venn diagrams to illustrate sets. These curves resemble circles or ellipses quite frequently.What is a roaster form?
Roster notation is a straightforward way to represent a set in mathematical form. Within the curly brackets of the roster form, the components of a set are listed in a row. If the set has more than one element, a comma is used to denote the separation of every pair of elements in a roster notation. Because the enumeration is done one by one, the roster form is also known as an enumeration notation.For example : A ={q, g, c, z, b}To learn more about Venn diagrams, refer:
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A computer repair shop charges a flat fee of $10.95 and then $24.90 per hour.
A customer paid $147.90 for computer repairs.
How many hours did the shop work on the customer's computer?
Enter your answer as a decimal in the box.
Shop work on the customer's computer for 5.5 hours.
Given,
Charge is flat fee of $ 10.95
and, then $24.50 per hour.
And, to find the number of hours if customer paid $147.90.
Now, According to the question:
Let shop work on computer for x hours .
Then, Amount paid = 10.95 + 24.90x
So, if customer paid $147.90
then, 147.90 = 10.95 + 24.90x
24.90x = 147.90 - 10.95
24.90x = 136.95
x = 136.95/ 24.90
x = 5.5
Hence, Shop work on the customer's computer for 5.5 hours.
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Please help I’ll mark you as brainliest if correct!
a) quotient = 23 and remainder = 14
b) quotient = 28 and remainder = 12.
c) quotient = 20 and remainder = 10.
a) Here in the first question we have to divide 405 by 17.
405 is not completely divisible by 17.
So when we divide 405 by 17 we get 23 as quotient and 14 as remainder.
we can cross check this by the formula;
Dividend= Divisor × Quotient + Remainder.
So in here the dividend is 405 and the divisor is 17 which when multiplied by the quotient 23 and added by the remainder that is 14 gives us 405.
Thus quotient = 23 and remainder = 14
b) Here dividend = 656 and divisor = 23
Thus when we divide 656 by 23 we get:
we get quotient as 28 and remainder as 12.
c) Given dividend is 1990 and divisor is 98.
Thus we divide 1990 by 98 we get:
Quotient = 20 and remainder = 10.
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Which equation represents the graphed function?
a. y=-3x + 3
b. y = 3x3
c. y = 3x -
d.y=-x+3
SOMEONE HELP PLS I WILL MAKE BRAINLEIST I PROMISE ONE U AWNSER SAY PLS MARK BRANILIEST HERE MAKE IT SIMPLE OR NO BRANILEST
The addition of 45 + 90 using the greatest common factor is 45(1 + 2) = 135
How to illustrate the information?From the information, it should be noted that Claude uses the greatest common factor and the distributive property to write the sum of 45 + 90.
It should be noted that the greatest common factor between 45 and 90 is 45.
This will be illustrated as:
45 + 90 = 45(1 + 2)
= 45 + 90
= 135
Therefore, the addition is 135.
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C
-
ZA and ZB are vertical angles. If mA = (2x +26)° and m/B = (3x − 29)
then find the measure of ZA.
The measure of the vertically opposite angle ∠A = 136°
What is defined as the vertically opposite angle?When two lines intersect at a point, vertical angles are formed. They are always on equal footing. In other words, four angles are formed only when two lines pass or intersect. We can see that two opposite angles are equal, and these are regarded to as vertical angles. They are also identified as'vertically opposite angles' due to their being perpendicular to each other.From the given question;
∠A and ∠B are vertical angles.
Thus, ∠A = ∠B
The values are given as;
∠A = (2x +26)°
∠B = (3x − 29)°
Equating both;
(2x +26)° = (3x − 29)°
Simplyfying;
2x + 26 = 3x − 29
3x - 2x = 26 + 29
x = 55
Put the value of x in ∠A = (2x +26)°
∠A = (2x +26)° = 2x55 +26
∠A = 136°
Thus, the measure of the vertical angle ∠A = 136°.
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Let f(x) represent a function.
Which descriptions match the given transformations?
The interpretation of the transformation of the given functions are;
f([tex]x + \frac{1}{4}[/tex]) means translated by 1/4 units to the left.
f(x) + 1/4 means that f(x) is translated by 1/4 units upwards
How to Interpret Function Transformations?There are different ways of function transformations such as translation, reflection, dilation, compression e.t.c
Now, the function written can be said to translated by 1/4 units to the left . This is because when we translate a function by say "a" units to the left, we are simply going to add a units to the x - variable.
To translate a graph upwards, it simply means we will add the number of units to the function; for example, f (x) + 3 moves the graph of the function f (x) upward by 3 units.
Thus, the given function f(x) + 1/4 means f(x) is translated by 1/4 units upwards
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The Adidas Flagship Building located in Herzogenaurach is shaped like a rhombus One of the diagonals measures 255.4 meters and the other diagonal measures 203.7 meters. Find the area of the top of the building.
Answer:
26012.49 m²Step-by-step explanation:
Area of the rhombus in terms of given diagonals:
A = ab/2, where A- area, a and b - diagonals.Plug in the values and calculate:
A = 255.4*203.7/2 = 26012.49Suppose the heights of adult American males are normally distributed with a mean of 66.9 inches and a standard deviation of 4.33. What would be the upper boundary, in inches, of a symmetric, centered interval that contained all the sample averages (from samples of size 167) that are within 0.92 standard deviation units of the mean? Round to the nearest hundredth.
Using the normal distribution, the upper boundary, in inches, of a symmetric and centered interval of the sample averages with n = 167 that are within 0.92 standard deviation s of the mean is of:
67.21 inches.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Considering samples of 167, with the mean and standard deviation of the population given in the problem, the parameters are given as follows:
[tex]\mu = 66.9, \sigma = 4.33, n = 167, s = \frac{4.33}{\sqrt{167}} = 0.335[/tex]
The desired height is X when Z = 0.92, because it is 0.92 standard deviations from the mean and we want the upper limit, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
0.92 = (X - 66.9)/0.335
X - 66.9 = 0.92 x 0.335
X = 67.21 inches.
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Y-intercept 9 and slop -2
The equation of the line that has the given features is y = -1/3x - 4
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?From the question, the given parameters are
Slope, m = -2
y-intercept, c = 9
As a general rule:
A linear equation is represented as
y = slope * x + y-intercept
This can be rewritten as
y = mx + c
Next, we substitute the known values in the above equation
So, we have the following equation
y = -2x + 9
The above equation cannot be further simplified
So, we have
y = -2x + 9
However, it can also be expressed as
y = 9 - 2x
Hence. the linear equation is y = -1/3x - 4
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Possible question
What is the equation of a linear equation that has the following features
Y-intercept 9 and slop -2
Apollo Spas services 298 hot tubs. If each hot tub needs 175 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
In a case whereby Apollo Spas services 298 hot tubs and each hot tub needs 175 mL of muriatic acid,number of liters of acid that are needed for all of the hot tubs is 52.15 litres.
What is unit conversion?The unit conversion can be described as the changing of bone unit to another.
We can calculate the number of liters of acid that are needed as (298 * 175)= 52150ml
This can be converted to liter by dividing 52150ml by 1000 which can be done as (52150ml/1000) = 52.15 litres of acid.
Therefore, the liters of acid are needed for all of the hot tubs can be expressed as the 52.15 litres
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