ANSWER
[tex]( - \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , + \infty )[/tex]
EXPLANATION
The given function is
[tex]h(x) = \frac{9x}{x( {x}^{2} - 49) } [/tex]
This function is defined for values where the denominator is not equal to zero.
[tex]x( {x}^{2} - 49) \ne0[/tex]
[tex]x(x - 7)(x + 7) = 0[/tex]
The domain is
[tex] x \ne - 7, x \ne0, \: and \: x \ne 7,[/tex]
Or
[tex]( - \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , + \infty )[/tex]
The domain of the function h=9x/x(x^2-49) is x = -7, x = 7.
Explanation:The domain of the function h = 9x/(x(x^{2}-49)) can be determined by considering the values of x that make the denominator non-zero. Since division by zero is undefined, we need to find the values that would make the denominator equal to zero. In this case, the denominator is x(x^{2}-49), which factorizes to x(x+7)(x-7). So, the values of x that make the denominator equal to zero are x=0, x=-7, and x=7.
However, we also need to consider that the function is undefined when cancelling out those values of x that would also make the numerator zero. In this case, x=0 would make the numerator zero, so it cannot be a part of the domain.
Therefore, the domain of the function h = 9x/(x(x^{2}-49)) is given by x = -7, x = 7.
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Δ ABC is isosceles with m∠B ≅ m∠C. If m∠A = 100°, m∠B = (12x + 4)°, and m∠C = (14x - 2)°, find x.
A) 1
B) 3
C) 5
D) 7
will mark brainliest if correct and give 50 pts.
The answer is B. If angle b is congruent to angle c, then you would write the problem as 12x + 4= 14x-2. X=3. You can check by substituting three for x.
Final answer:
To find the value of x in the isosceles triangle ABC with given angle expressions, we set the expressions for angles B and C equal, leading to a simple equation that yields x = 3.
Explanation:
The question involves finding the value of x in an isosceles triangle where the angles at base B and C are given as algebraic expressions in terms of x. Since triangle ABC is isosceles with angles at B and C being equal, we can set the expressions for m∆B and m∆C equal to each other and solve for x.
Let's set up the equation using the fact that m∆B = m∆C since ∆ ABC is isosceles:
(12x + 4)° = (14x - 2)°
We can then solve for x:
Subtract 12x from both sides: 4° = 2x - 2°
Add 2° to both sides: 6° = 2x
Divide by 2 to solve for x: x = 3
The value of x is therefore 3, which corresponds to answer choice B.
Describe the transformations to get from image A to A'.
Answer:
A reflection over the y axis and then a reflection over the x axis gets a to a'. Hope this helps!
An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to AB that passes through Point X?
Answer:
y=(-5/12)x+(95/12)
Step-by-step explanation:
step 1
Find the slope of the line AB
m=(3-8)/(2+10)=-5/12
step 2
Find the slope of the line parallel to AB
we know that
If two lines are parallel then their slopes are the same
so
the slope is m=-5/12
step 3
Find the equation of the line l parallel to AB that passes through Point X
The equation of the line into point slope form is equal to
y-y1=m(x-x1)
substitute
y-10=(-5/12)(x+5)
y=(-5/12)x-(25/12)+10
y=(-5/12)x+(95/12)
Which dimensions can create more than one triangle
Answer:
Three angles, measuring 25,65, and 90.
Step-by-step explanation:
Quick!! I need help with this question!
1. 60 / 1/8 * 3/4
2. 3/4 * 15
3. 7/8 / 3/4
Steve can train 48 dogs in 6 hours. How many dogs can Steve train in 10 hours?
Answer:
80
Step-by-step explanation:
Steval train 80 dogs in 10 hours because 48÷6 = 8 so if you do 10 times a day you get 80 so you will get a total of 80 dogs in 10 hours
There are 15 printers in one department. If 2/5 are color printers, how many can only print black and white?
Answer:
your answer would be 9 printers
The answer is:
There are a total of 9 black and white printers
Why?To solve the problem, first, we need to calculate how many color printers represents two-fifths of the total printers, then, calculate the number of black and white printers using the total number of printers and the number of color printers.
Calculating how many color printers does the departament have:
[tex]ColorPrinters=TotalPrinters*\frac{2}{5} \\\\ColorPrinters=15*\frac{2}{5}\\\\ColorPrinters=\frac{30}{5}=6[/tex]
Therefore, we have that there are 6 color printers.
Now, calculating the number of black and white printers, we have:
[tex]TotalPrinters=ColorPrinters+BlackAndWhitePrinters\\\\BlackAndWhitePrinters=TotalPrinters-ColorPrinters\\\\BlackAndWhitePrinters=15printers-6printers=9printers[/tex]
Hence, we have that there are a total of 9 black and white printers.
Have a nice day!
Which of the following is not an idea from the enlightenment?
Answer:
The answer is B.
Step-by-step explanation:
Please make me the brianliest
Plz help me with this
Answer: [tex]A)\quad \dfrac{x^6\ z}{y^{10}}[/tex]
Step-by-step explanation:
[tex].\quad \dfrac{(x^{2}\cdot y^{-3}\cdot z^{4})^2}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\= \dfrac{x^{2\cdot 2}\cdot y^{-3\cdot 2}\cdot z^{4\cdot 2}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4}\cdot y^{-6}\cdot z^{8}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4+2}\cdot y^{-6+6}\cdot z^{8-7}}{x^{-2+2}\cdot y^{4+6}\cdot z^{7-7}}\\\\\\=\large\boxed{\dfrac{x^6\ z}{y^{10}}}[/tex]
what is 26.553 rounded to the nearest hundred?
Answer:
26.55
Step-by-step explanation:
When rounding to the nearest whatever, you always look at the digit to the right of it. In this case, you look at the thousandth digit. 3 is not equal to or less than five, so you round 3 to 0 and you get 26.55
Do you need to write a formula to find the perimeter of a polygon?
Answer: No. But there are steps you have to take
Step-by-step explanation: To find the perimeter of a regular polygon, that is a polygon with equal sides. First, write down the length of 1 side and the total number of sides. Then, multiply the 2 numbers together to find the perimeter.
calculate the angle between the longest side and the diagonal of a 577mm by 1000mm rectangle
This should help in the photo
The angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
To solve this problem, we can use the Pythagorean theorem and trigonometric functions.
First, we can find the length of the diagonal of the rectangle using the Pythagorean theorem:
diagonal² = longest side² + shortest side²
diagonal² = 1000² + 577²
diagonal = √(1000² + 577²)
diagonal = 1162.46 mm (rounded to two decimal places)
Next, we can find the angle between the longest side and the diagonal using the inverse tangent function:
tan(θ) = opposite / adjacent
tan(θ) = 577 / 1000
θ= arctan(577 / 1000)
θ= 29.98
θ ≈ 30 degrees
Therefore, the angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.
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does anybody know this?
Answer:
37
Step-by-step explanation:
To evaluate, substitute x = 10 into g(x) then substitute the value obtained into f(x)
g(10) = 10 - 4 = 6, then
f(6) = 6² + 1 = 36 + 1 = 37
very confused please help asap ( 13 points)
Answer:
2 and a half
Step-by-step explanation:
To solve this, divide the total amount of free time [5/6] by the time it takes to play one video game [1/3]
Remember that dividing 5/6 by 1/3 is the same as multiplying 5/6 by 3/1.
Multiply the numerators
5 x 3 = 15
Multiply the denominators
6 x 1
15/6 = 2 3/6
So, Lamar can play 2 and a half video games
I hope this helps!
The answer is 2 and a half.
How do you find the area of a circle?
(I’m in 7th grade)
Answer:
A =πr^2
Step-by-step explanation:
Answer: The formula for the area of a circle is pi times the radius, squared (A = π r²)
Step-by-step explanation:
pls help ASAP
Explain how to find the relationship between two quantities, x and y, in a table. How can you use the relationship to calculate the missing values in the table?
To find the relationship between two quantities, x and y, in a table, analyze patterns in the changes of the values, determine if the relationship is linear or nonlinear, and then use the identified relationship to calculate missing values. A computer can be useful for plotting data and visualizing the relationship.
Explanation:To find the relationship between two quantities, x and y, in a table, first, you need to look for a pattern in the way the numbers change. If y changes by a consistent amount when x changes by a set amount, the relationship is likely linear. If the rate of change itself changes, the relationship may be nonlinear. To determine the relationship:
Calculate the differences in y-values and x-values between successive points.Look for a constant ratio or a constant difference to identify a linear relationship.Plot the data to visually inspect the form of the relationship.To fill in missing values:
Use any known relationships (e.g., y = mx + b for linear relationships).If you identify a consistent pattern in the changes of x and y, apply this pattern to estimate the missing values.If the relationship is nonlinear, you may need to estimate the slope at a point or apply a nonlinear model.Use extra information provided to calculate missing x or y values.When calculating these relationships, plotting data using computers can be helpful, especially for identifying linear or nonlinear relationships and for regression analysis in more complex datasets.
The data below represents the scores in a golf tournament. If the mean is 70 with a standard deviation of 4.9, circle all values with a
z-score greater than 0.5
63, 64, 65, 67, 70, 71, 73, 73, 76, 78
To circle all values with a z-score greater than 0.5, calculate the z-score for each value and compare it to 0.5. The values with a z-score greater than 0.5 are 76 and 78.
Explanation:To determine which values have a z-score greater than 0.5, we need to calculate the z-score for each value in the data set. The z-score formula is calculated by subtracting the mean from a value and then dividing by the standard deviation. If the resulting z-score is greater than 0.5, we circle the corresponding value.
For the value 63: z-score = (63 - 70) / 4.9 = -1.43For the value 64: z-score = (64 - 70) / 4.9 = -1.22For the value 65: z-score = (65 - 70) / 4.9 = -1.02For the value 67: z-score = (67 - 70) / 4.9 = -0.61For the value 70: z-score = (70 - 70) / 4.9 = 0For the value 71: z-score = (71 - 70) / 4.9 = 0.2For the value 73: z-score = (73 - 70) / 4.9 = 0.61For the value 73: z-score = (73 - 70) / 4.9 = 0.61For the value 76: z-score = (76 - 70) / 4.9 = 1.22For the value 78: z-score = (78 - 70) / 4.9 = 1.63Based on the calculations, the values with a z-score greater than 0.5 are 76 and 78. Therefore, these two values should be circled.
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To determine the values with z-scores greater than 0.5, calculate the z-score for each value. The values with z-scores greater than 0.5 are 76 and 78.
Explanation:In order to determine which values have z-scores greater than 0.5, we need to calculate the z-score for each value. The z-score formula is:
z = (x - mean) / standard deviation
Let's calculate the z-scores for each value and circle the ones greater than 0.5:
63 has a z-score of -1.4364 has a z-score of -1.2265 has a z-score of -1.0267 has a z-score of -0.6170 has a z-score of 071 has a z-score of 0.273 has a z-score of 0.6173 has a z-score of 0.6176 has a z-score of 1.2278 has a z-score of 1.63Values with z-scores greater than 0.5 are: 76 and 78.
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What is the equation of the graph below?
Answer:
Step-by-step explanation:
the equation of the graph : y = sin(x + 90°)
because when : x= 0 : y = sin90° = 1
Answer:
Option A y = sin ( x + 90 )
Step-by-step explanation:
The given graph is the graph of cosine which should be in the form of
y = a cos ( bx + c ) + d
here a = amplitude = [tex]\frac{1-(-1)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Since period of the wave is 2x or 360°.
we know, period = [tex]\frac{2\pi }{b}[/tex]
[tex]b=\frac{2\pi }{2\pi }[/tex] = 1
Now equation becomes,
y = cos ( x + c ) + d
In this graph there is no horizontal or vertical shift
c = 0 and d = 0
so equation will be y = cos (x)
as we know y = cos (x) = sin ( 90 + x )
Therefore, Option A y = sin ( x + 90 ) is the answer.
24 is 0.4 of what number
Answer:
60
Step-by-step explanation:
All you have to do is this:
24 * 2/5 (original equation)
24*5/2 = 60
Four friends have dinner and bill comes to 85.78. They leave an 18 percent tip. What is the total amount of their bill.
Answer:
$15.44
Step-by-step explanation:
Answer:
about 101.22
Step-by-step explanation:
Determine the projection of u=1.6i+3.3j in the v=-2.1i-0.5j direction
The projection of [tex]\vec u[/tex] onto [tex]\vec v[/tex] is
[tex]\mathrm{proj}_{\vec v}(\vec u)=\dfrac{\vec u\cdot\vec v}{\vec v\cdot\vec v}\vec v[/tex]
We have
[tex]\vec u\cdot\vec v=1.6\cdot(-2.1)+3.3\cdot(-0.5)=-5.01[/tex]
[tex]\vec v\cdot\vec v=\|\vec v\|^2=(-2.1)^2+(-0.5)^2=4.66[/tex]
[tex]\implies\mathrm{proj}_{\vec v}(\vec u)=\dfrac{-5.01}{4.66}\vec v\approx2.26\,\vec\imath+0.54\,\vec\jmath[/tex]
Answer:
answer is B i think on edg. 2.3i+0.5j
Step-by-step explanation:
just took the test
ANSWER NEEDED ASAP!!!!!!!!
1. 428 pages: There are a total of 428 pages that you can flip to.
2. 1/428: Page 45 is only one page out of the total sample space.
3. 1/2: Since the last page is 428, there is an even number of pages. That means that there are 214 page numbers that are even. 214/428 = 1/2.
Answer:
1. What is the sample space for this experiment?
A: 1 to 428
2. What is the probability that you will turn to page 45?
A: There is a 1 out of 428 chance you will turn to page 45.
3. What is the probability that you turn to an even numbered page?
A: There is a 1 out of 2 chance you will turn to an even numbered page.
Simplify the following expression
7x^2 - 15x + 5 - 2x - 8x^2
Answer:
[tex]\large\boxed{7x^2-15x+5-2x-8x^2=-x^2-17x+5}[/tex]
Step-by-step explanation:
[tex]7x^2-15x+5-2x-8x^2\qquad\text{combine like terms}\\\\=(7x^2-8x^2)+(-15x-2x)+5\\\\=-x^2-17x+5[/tex]
The table shows the relationship between the number of roller coasters written at the fair and the amount spent at the fair graph the data in a scatterplot and describe the trend shown by the graph
Answer:
I believe its C
A scatter plot is just plotting the x and y coordinates on the graph.
x is horizontal (side to side) and y is vertical up and down.
What is the meaning of a scatter plot?
A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.
The trend is just basically a line you guesstimate in the middle of the points that are scattered through the graph.
Describe it by saying whether it is positive or negative.
Therefore option C is correct.
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And buys a pencil for $0.45 draw and label coins. Ann could use to make $0.45
Answer:
You could use one quarter and two dimes... that will equal $0.45
(I'm not sure what you are asking for)
Answer:
You could use 9 nickels
You could use 45 pennies
You could use 1 quarter and 2 dimes
You could use 4 dimes and 1 nickel
You could use 2 dimes and 5 nickels
You could use a lot more combination that equal 45...
Find 4 1/5 - 7 2/3
28 2/15
28 3/10
32 1/5
323/5
Answer:
Final answer is [tex]=3\frac{7}{15}[/tex].
Step-by-step explanation:
[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]
[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]
[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]
[tex]=\frac{21}{5}-\frac{23}{3}[/tex]
[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]
[tex]=\frac{63}{15}-\frac{115}{15}[/tex]
[tex]=-\frac{52}{15}[/tex]
[tex]=-3\frac{7}{15}[/tex]
Hence final answer is [tex]=3\frac{7}{15}[/tex].
Which figure is always a rectangle
Answer:
A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Step-by-step explanation:
Please give me brainiest! <:)
For a field trip, 29 students rode in cars and the rest filled nine buses. how many students were in each bus if 551 students were on trips?
Answer:
58 students were in each bus
Step-by-step explanation:
First, you'd have to subtract 29 from 551. This gives you 522. Then, you'd simply have to divide 522 by 9. 5 cannot go into 9 so we drag down the 2, 9 can go into 52 5 times. Then, you'll be left with 7, so you bring down the last digit, 2. 9 goes into 72 exactly 8 times.
HELPPPPP FAST PLEASE
1. what is the excluded value of 2x/ 1-2x
a.0
b.1/2
c.1
2.what are the excluded values of -7/x^2-2x-15
a.0 and 15
b.3 and -5
c.-3 and 5
Answer:
b and c
Step-by-step explanation:
The excluded values are any values of x that make the denominator equal to zero as this would make the rational function undefined.
Equate the denominator to zero and solve for x to obtain excluded values
1
solve 1 - 2x = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex] → b
2
x² - 2x - 15 = 0 ← in standard form
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
Excluded values are x = - 3 and x = 5 → c
Answer:
B and C
Step-by-step explanation:
Dave uses the functionP(d) = 20d - 20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in dollars, and "d" the number of dogs he walks. Interpret the meaning of the equation below using the context of the problem
P(3) = 40
When Dave walks three dogs he will earn a net profit of 40 dollars.
P(3) = 40 in the given problem context implies that Dave makes a net profit of 40 dollars from walking three dogs.
Explanation:In the given problem context, the equation P(3) = 40 means that when Dave walks three dogs (d=3), he makes a net profit of 40 dollars. Dave's profit function is P(d) = 20d - 20. By substituting d with 3 in his profit function, we obtain P(3) = 20*3 - 20, which gives us P(3) = 60 - 20 = 40. Thus, Dave earns a net profit of 40 dollars from walking 3 dogs.
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