Explanation
The zero of a function is any replacement for the variable that will produce an answer of zero,so let f(x)=o to find the zeros
Step 1
Let f(x)= 0 and solve for x
\(\begin{gathered} f(x)=3x^2+6 \\ f(x)=0 \\ \text{Hence} \\ 3x^2+6=0\text{ } \end{gathered}\)Step 2
solve for x
\(\begin{gathered} 3x^2+6=0\text{ } \\ subtract\text{ 6 in both sides} \\ 3x^2+6-6=0-6\text{ } \\ 3x^2=-6 \\ \text{divide boths sides by 3} \\ \frac{3x^2}{3}=\frac{-6}{3} \\ x^2=-2 \\ \text{remember i}^2=-1,\text{ }i=\sqrt[]{-1} \\ \text{hence} \\ x=\pm\sqrt[]{-2} \\ x=\pm\sqrt[]{2\cdot-1\text{ }} \\ x=\pm\sqrt[]{2}\cdot\sqrt[]{-1} \\ x=\pm\sqrt[]{2}\cdot i \\ \end{gathered}\)so, the answer is
\(\begin{gathered} x=\sqrt[]{2}\cdot i \\ x=-\sqrt[]{2}\cdot i \end{gathered}\)I hope this helps you
A right triangular prism is shown.
6 in.
11 in.
8 in.
What is the volume in cubic inches of the prism? Enter only the number.
The volume in cubic inches of the prism is 528 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
The volume is calculated as:-
V = L x W x H
V = 6 x 11 x 8
V = 528 cubic inches
Therefore the volume in cubic inches of the prism is 528 cubic inches.
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fine the nth term of 11,13,15,17
The nth term of 11,13,15,17 is,
⇒ T (n) = 9 + 2n
Given that;
The sequence is,
11, 13, 15, 17, ....
Here, Common difference is,
13 - 11 = 2
15 - 13 = 2
Hence, Sequence is in Arithmetic sequence.
So, the nth term of 11,13,15,17 is,
⇒ T (n) = a + (n - 1)d
⇒ T (n) = 11 + (n - 1) 2
⇒ T (n) = 11 + 2n - 2
⇒ T (n) = 9 + 2n
Thus, The nth term of 11,13,15,17 is,
⇒ T (n) = 9 + 2n
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If you take -3/10 of a number and add 1, you get 10. Let x represent the original number. A. Write an equation that represents the situation. B. What is the original number
Answer:
A. -(3/10)x + 1 = 10
B. x = -30
Step-by-step explanation:
A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10
B. in solving this, first we subtract 1 from both sides, to get
-(3/10)x = 9
then, we divide both sides by -3/10 to get
x = -30
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Find the circumference of a circle with
radius, r = 7m.
Give your answer in terms of π.
Answer: 14π
Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.
May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
monday , jay earned $14 per hour for m of hour, thursdays earned $22 per hour for t hour of work. he also got a $100 bonus. which expression shows how much jay earned in total
A. (14 + 22)(m+t)+100
B.14t+22m+100
c, 14m + 22 + 100
D. 14m(22t)(100)
Answer:
B
Step-by-step explanation:
14t +22m+100
There's no number of hours
The expression of Jay earned in total is;
14m + 22t + 100
Here,
On Monday, Jay earned $14 per hour for m of hour.
On Thursday, Jay earned $22 per hour for t hour of work.
He also got a $100 bonus.
We have to find the expression of Jay earned in total.
What is Mathematical expression?
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Now,
On Monday, Jay earned $14 per hour for m of hour.
Total earned on Monday = $14m
On Tuesday, Jay earned $22 per hour for t hour of work.
Total earned on Tuesday = $22t
He also got a $100 bonus.
Hence, Total earned = 14m + 22t + 100
So, The expression of Jay earned in total is;
⇒ 14m + 22t + 100
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Look Below. (Will give brianliest)
Answer:
what is your question friend? :)
You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,
determine how long it will take for the object to hit the ground below. NEAREST TENTH
You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second, 64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.
What is law of conservation of energy?Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.
Given that,
Height of the cliff, h= 55 Foot
Initial speed of the projectile, u = 85 m/s
Let, the projectile hit the ground with velocity "v"
Applying the law of conservation of energy,
mgh + 1/2 mu² = 1/2 mv²
or, m (gh + 1/2 u²) = 1/2 mv²
or, (gh + 1/2 u²) = 1/2 v²
or, 10 × 55 + (1/2 × (55)²) = 1/2 v²
or, 550 + 1512.5 = 1/2 v²
or, 2062.5 = 1/2 v²
or, 4125 = v²
or, v = 64.23 feet/second
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PLEASE HELP!! What is the surface area of the cone?
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
PLATO! Select ALL the correct answers.
Identify the scenarios in which the statistics are misleading.
A. a music store owner claims that about 15% of high school students in his city can play the piano. He concludes this after surveying 80 randomly selected students from the various high schools in
his city.
B. A supermarket claims that 65% of its shoppers would like to see home delivery offered. They arrived at the conclusion by polling 50 randomly selected customers on a Tuesday afternoon.
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
D. A website claims that 47% of its visitors click on at least one advertisement while browsing the site. The information was collected from a database containing all the activity on the website
during the past month.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
Answer:
C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
Step-by-step explanation:
These two are the biased reports because they don't include the full population.
C is biased because it only includes teens, not people of any other age.
E is biased because it only included males, not females.
A isn't biased because it includes the stated population, high school students in the city.
B isn't biased because the sample was of 50 random customers, which is the general population.
D isn't biased as it included all data from the website.
Hope this helps!
The solution is,:
1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
What is sample and statistic?A portion of population taken and analyzed to predict information about population is called sample of that population.
Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.
Those numbers who summarize information about sample are called statistic.
(Statistic is different than statistics)
The numbers which summarize information about the sample are called statistic.
The scenarios in which the statistics are misleading;
1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.
3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
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what are all the possibilities that make the inequality 2x + 3 > 11 that are TRUE
Answer: x > 4 OR (4, infinity)
Step-by-step explanation:
2x + 3 > 11 subtract 3
2x > 8 divide by 2
x > 4 your answer
HELP ME PLEASEEEE INSTANTLY
Answer:
C
Step-by-step explanation:
Plug the points into the formula to check or just eyeball it
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ
=
50.2
. You would like to be 90% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required?
Using the sample size relation with the standard normal distribution, the required sample size is 3032 samples.
What is Normal distribution ?
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Using the sample size relation with the standard normal distribution, the required sample size is 673 samples.
n = [(Z* × σ) / ME]²
ME = margin of error
Z* = Z critical at 90% = 1.645
Substituting the values into the equation :
n = [(Z* × σ) / ME]²
n = [(1.645 × 50.2) / 1.5]²
n = (82.6/ 1.5)²
n = 55.06
n ≈ 3032
Therefore, the Number of samples required is 3032 samples.
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Which statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
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f(x)
g(x)
=∣x∣
=∣x+9∣−5
We can think of
�
gg as a translated (shifted) version of
�
ff.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function
�
gg, shift
�
ff
by
units and to the
by
units.
The function g( x ) is translated to the left by 9 units and down by 5 units.
Given data ,
Let the first function be represented as f ( x )
where the value of f ( x ) = | x |
Let the translated function be g ( x )
where the value of g ( x ) = | x + 9 | - 5
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
On translating to the left , f ( x + a )
So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |
Now , when the function is translated 5 units down , f ( x ) - 5
So , the translated function is g ( x ) = | x + 9 | - 5
Hence , the function is translated to the left by 9 and up by 5 units.
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The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.27°F and a standard
deviation of 0.54°F. Using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or
between 97.73 °F and 98.81°F?
Answer: follow this you'll be able to solve it
Step-by-step explanation: mean = 98.11F
standard deviation = 0.56F
99.79 – 98.11 = 1.68 = 3 standard deviations
96.43 – 98.11 = –1.68 = –3 standard deviations
96.43F and 99.79F are 3 standard deviations from the mean 98.11F.
By the empirical rule we know that 99.7% of the data lies within 3 standard deviation of the mean.
Approximately 68% of healthy adults in this group have body temperatures within 1 standard of the mean, or between 97.55F and 98.67F.
Waylon played defense in 12 soccer games. This was 60% of the total games he played. How many games did Waylon play?
Answer:
20 games
Step-by-step explanation:
(12/x)=(60/100)
12*100=1200
60x=1200
x=20
20
Step-by-step explanation:
how many lines are symmetry has an isosceles triangle
Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)
(1,6)
(2,6)
(2,5)
(1,5)
2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
(1 point)
Their intersection point is the only point where different inputs into both functions yield different outputs.
Their intersection point is the only point where the same input into both functions yields different outputs.
Their intersection point is the only point where different inputs into both functions yield the same output.
Their intersection point is the only point where the same input into both functions yields the same output.
3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Answer:
2,6
Step-by-step explanation:
Answer:
1. (2,6)
2. C
3. B
Step-by-step explanation:
y = - 2x + 10
y = x + 4
SInce the two equation both equal y, we can said they are equal.
- 2x + 10 = x + 4
- 10 - 10
- 2x = x - 6
- x - x
- 3x = - 6
/-3 /-3
x = 2
Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.
- 2(2) + 10 = 2 + 4
- 4 + 10 = 6
6 = 6
This is true since both sides are equal.
The point that intersects y=-2x+10 and y=x+4 is (2,6).
2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
C) Their intersection point is the only point where different inputs into both functions yield the same output.
Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).
3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.
y = - 1/3x + 5
y = - 1/3(0) + 5
y = 5
Point: (0,5)
Slope: - 1/3
Rise over run (y/x) so up 3 and left 1.
B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Convert the improper fraction below to a mixed number. 13/4
Answer:
3 1/4
Step-by-step explanation:
Chloe reads 7 pages of a mystery book in 9 minutes. What is her average reading rate in pages per
minute?
Answer:
1.25
Step-by-step explanation:
you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25
Diane sells boxes of cookies for each. Manuel sells boxes of cookies for each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible.
Part A : How many boxes did Daiane sell?
Part B : How many boxes did Manuel Sell?
Part C : What was the dollar amount each of them sold?
Part A: Daiane was known to have sold 5 boxes.
Part B: Manuel as known to have sold sold 4 boxes.
Part C: Daiane sold a total of = $40 while Manuel sold a total of $40.
What are the cookies?From the question, take the number of boxes Daiane sold as 'x'.
Note that she sells each box for $8, Hence the total dollar amount she sold is 8x.
Also take the number of boxes Manuel sold is 'y' because he sells each box for $10, so the total dollar amount he sold is = 10y.
Since the total dollar amount Diane sold is equal to the total dollar amount Manuel sold. the equation will bw:
8x = 10y
Then one can simplify the equation, by dividing both sides by the greatest common divisor (GCD) of 8 and 10, that is 2:
(8x)/2 = (10y)/2
4x = 5y
So the possible solution is that
x = 5
y = 4.
So one can say that:
Part A: Daiane sold 5 boxes.
Part B: Manuel sold 4 boxes.
Part C: Daiane sold a total of :
= 8 x 5
= $40
Manuel sold a total of :
= 10 x 4
= $40
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Diane sells boxes of cookies for $8 each. Manuel sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible. Answer the following questions.
Part A : How many boxes did Daiane sell?
Part B : How many boxes did Manuel Sell?
Part C : What was the dollar amount each of them sold?
15 and 3 are a factor of 30?
Answer:
Yes, they're.
Step-by-step explanation:
30 = 1 * 2 * 3 * 5
what is the answer please write a answer please
Answer: teal/middle on is right
Step-by-step explanation:
This is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
ab+bc=cca
what number is "b"?
So, the value of "b" is given by (c × c × a) divided by (a + c).
The equation provided is ab + bc = cca.
To find the value of "b," we need to simplify the equation and isolate the variable.
Let's analyze the equation step by step:
ab + bc = cca
First, let's observe that "cca" could be a typo, and we assume it means "cc × a" or "c × c × a."
We rewrite the equation as:
ab + bc = cca = c × c × a
Now, let's factor out "b" from the left side of the equation:
b(a + c) = c × c × a
To isolate "b," we divide both sides of the equation by (a + c):
b = (c × c × a) / (a + c)
It's important to note that the result depends on the specific values of "a" and "c" that are provided.
Without knowing the numerical values of "a" and "c," we cannot determine the exact value of "b."
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Mitchell stood at the entrance of his school and polled 35 students as they were entering the
building regarding their favorite food. If 16 of the students indicated they would choose pizza, what
percent of the students he polled chose pizza? (Round to nearest tenth)
solve for n
4 + 3n = –6 + 4n
Answer: 10
Step-by-step explanation:
Answer:
n=10
Step-by-step explanation:
4+3n=−6+4n
Step 1: Simplify both sides of the equation.
3n+4=4n−6
Step 2: Subtract 4n from both sides.
3n+4−4n=4n−6−4n
−n+4=−6
Step 3: Subtract 4 from both sides.
−n+4−4=−6−4
−n=−10
Step 4: Divide both sides by -1.
n=10