1.
(x+7)²
using (a+b)²=a²+b²+2ab
= x²+7²+ ( 2×x×7 )
= x²+49+14x
THEREFORE, x²+14x+49 is the answer
2.
4x²-1 = 0
= (2x)²-1² = 0
using a²-b² = (a+b) (a-b)
THEREFORE, (2x+1) (2x-1) is the answer
HOPE IT HELPS :)
PLEASE HELP!!!!!
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Answer:
(-9,-6) ,(-3,0),(-2,1),(4,7)(6,9)
Answer:
x = -9 —> f(x) = – 6
x = -3 —> f(x) = 0
x = -2 —> f(x) = 1
x = 4 —> f(x) = 7
x = 6 —> f(x) = 9
Step-by-step explanation:
x = -9 —> f(x)= x+3 —> f(-9)= -9+3 = -6 —> f(x) = – 6
x = -3 —> f(x)= x+3 —> f(-3)= -3+3 = 0 —> f(x) = 0
x = -2 —> f(x)= x+3 —> f(-2)= -2+3 = 1 —> f(x) = 1
x = 4 —> f(x)= x+3 —> f(4)= 4+3 = 7 —> f(x) = 7
x = 6 —> f(x)= x+3 —> f(6)= 6+3 = 9 —> f(x) = 9
I hope I helped you^_^
what is the slope of the line represented by the equation?
Answer:
It is 4/5
Step-by-step explanation:
hope it helps ^^
ABC is equal to DEF and AB is equal to EF what type of triangle is ABC
Based on the information provided, the triangle ABC is an Isosceles triangle.
Understanding Isosceles TriangleIf triangle ABC is equal to triangle DEF and AB is equal to EF, it means that the corresponding sides and angles of the two triangles are congruent.
Based on the information given, we can conclude that triangle ABC is an isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length. In this case, sides AB and EF are equal in length, making triangle ABC isosceles.
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A point is plotted on the number line at 225 . A second point is plotted at −434 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
7 3/20
Step-by-step explanation:
I took the quiz.
Answer: 7 3/20
Step-by-step explanation:
k12
Lila is making a tile pattern in the shape of a square.
One side is 9 inches across.
What is the area of the
Cathleen was looking at 13 different colors to paint her bedroom. She liked about 1/4 of the colors.About how many colors did she like
Answer:
3.25 rounded to 3
Step-by-step explanation:
If she liked 1/4 of the colors, then we would divided by 13 by 4 to get 3.25.
She can't like 1/4 of a color though, so we would round to 3.
Use the ALEKS calculator to evaluate each expression.
Round your answers to the nearest thousandth.
Do not round any intermediate computations.
log√7 =
Log 23/6=
Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.
Logarithmic evaluationLog√7 = 1.659Log 23/6 = 0.862It is a rapid increase in the quantity of something over a period of time. Exponential growth can be seen in populations, investments, and other areas.It is characterized by a doubling or tripling of the original amount within a specified period of time.This type of growth is often caused by compounding, where gains from one period are reinvested in the next period, leading to a rapid increase in the overall amount.Exponential growth is often seen in the early stage of a business, when it is experiencing rapid growth due to investments or other factors.However, exponential growth can also lead to rapid decline if not managed properly.This is called logarithmic evaluation, which involves using logarithms to simplify complex expressions.To learn more about logarithmic evaluation refer to:
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A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
p3+1÷p3
answer thisss plzzz
Answer:
2
Step-by-step explanation:
To multiply a decimal number by 102, move the decimal point
Answer:
two digits to the right
Step-by-step explanation:
When multiplying a decimal by 102 you would need to move the decimal point two digits to the right. This is because we are multiplying by a hundred number. When multiplying any whole positive number by a decimal, we need to move the decimal point to the right one less than the amount of digits that the positive whole number has. For example, a thousand (1000) has 4 digits so we move the decimal point of the product to the right by 3.
Examples:
102 * 0.02 = 2.04
1000 * 0.02 = 20
10000 * 0.02 = 200
Candace is flipping a coin a certain number of times. The theoretical probability of her flipping tails on all flips is 1/32 . How many times is she flipping the coin?
Answer:
Cadence is flipping her coin 32 times
Step-by-step explanation:
So the fraction is 1/32 which means 32 is the number of times the coin was flipped.
A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.
Answer: The estimate is 200
Step-by-step explanation:
The exact amount would be 204 teddy bears, but you would it down to 200.
*giving brainiest to the first correct answer. Write the equation of the line graphed.
Answer:
The equation of the line is x = 2
Answer:
x = 2
Step-by-step explanation:
When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,
it can be a horizontal line, y = the number the line is on from the y-axis
or a vertical line, x = the number the line is on from the x-axis.
In this case you have a vertical line so the equation would be
x = the number the line is on from the x-axis, which is 2 so your final answer would be
x = 2
Which of the following systems of inequalities has point D as a solution?
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
Pls Need Help! Thank you
Answer:
y = \((\frac{1}{2})^{-x} +4\)
Step-by-step explanation:
In order to achieve the following transformation we need to do the following. To get the graph to be reflected accross the y-axis we need to change the sign of the x variable. Since the x-variable in this scenario is a positive we would change it to a negative. Next, we want to shift the graph 4 units up. To do this we simply need to add 4 to the entire equation. This would result in the following equation.
y = \((\frac{1}{2})^{-x} +4\)
Both of these graphs can be seen in the image below.
Chilling and dying
Spending lonely nights
Pandemic gotta go no cap, especially since it got me on this brainly app
A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 10.2 reproductions and the population standard deviation is known to be 2.4. If a sample of 907 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place
Answer:
The 85% confidence interval for the true mean number of reproductions per hour for the virus is between 10.1 and 10.3.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1-0.85}{2} = 0.075\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).
So it is z with a pvalue of \(1-0.075= 0.925\), so \(z = 1.44\)
Now, find the margin of error M as such
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 1.44*\frac{2.4}{\sqrt{907}} = 0.1\)
The lower end of the interval is the sample mean subtracted by M. So it is 10.2 - 0.1 = 10.1 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 10.2 + 0.1 = 10.3 reproductions per hour.
The 85% confidence interval for the true mean number of reproductions per hour for the virus is between 10.1 and 10.3.
If g(x) = 22 - 4x + 5, find g(-9)
Answer:
4 is the ratio dive bye 203
Step-by-step explanation:
In a survey of 347 people, the data presented in Table 3
were obtained relating gender to political orientation. A
person is randomly selected. What is the probability that the person is:
Republican given that the person is Male?
Female given that the person is a Democrat?
Answer:
347 people relating person male 3 given
A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?
Answer:
28
Step-by-step explanation:
the amount of sheets u would need is 3 and a 1/2 because they each contain 10 tickets so then u multiply 8 dollars by 3 and 1/2 which leads u to 28
A new health drink has 190% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamins are in the drink?
There is 95mg of vitamins in the drink
Percentages and proportionIf a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.
The amount of milligrams of the vitamins in the drink is expressed as shown:
A = 190 % of 50mg
A = 1.9 * 50
A = 95mg
Hence there is 95mg of vitamins in the drink
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Answer:
There is 95mg of vitamins in the drink
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
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please hurry and help
Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
45−−√ , 16/5 , −1
Answer:
I'm assuming 45−−√ is \(\sqrt{45}\), and that it belongs to the subset of irrational numbers.
16/5 is a rational number, and -1 is an integer.
All numbers belong to the subset of real numbers.
Step-by-step explanation:
Hope this helped!
HELP im behinds on math and need help with this
Answer:
261.7 mm³
Step-by-step explanation:
the volume= ⅓×3.14×5²×10
= ⅓× 785
= 261.7 mm³
Students were surveyed to determine what they are most afraid of. The results are shown in the bar graph below.
What is the average number of students who are afraid of spiders and snakes?
A) 7
B) 9
C) 15
D) 30
The average number of students who are afraid of spiders and snakes is 15. (Option C).
How to get the Average?To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).
Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2
Given the information:
Number of students afraid of spiders = 18
Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)
Average = (18 + 12) / 2 = 30 / 2 = 15
So, the average number of students who are afraid of spiders and snakes is 15.
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A fair number cube with 1, 2, 3, 4, 5 and 6 on its faces is rolled once. The dot on the number line below represents the probability of an event.
The probability of rolling a specific number is 1/6 or approximately 0.1667.
When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.
The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.
For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.
In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.
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Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2
please help! maths hyperbolic functions
Answer:
See attachments.
Step-by-step explanation:
The quickest way to sketch the given functions, given that the coordinate plane is restricted to -5 ≤ x ≤ 5, is to substitute the values of x into the functions to find the points for the given interval. Plot these points on the given coordinate plane, and draw a continuous curve through the points.
Part (a)Given function:
\(y=\dfrac{5}{x}-2, \quad x > 0\)
Substitute the values of x = 1, x = 2, x = 3, x = 4 and x = 5 into the function:
\(\begin{aligned}x=1 \implies y&=\dfrac{5}{1}-2\\&=5-2\\&=3\end{aligned}\)
\(\begin{aligned}x=2 \implies y&=\dfrac{5}{2}-2\\&=2.5-2\\&=0.5\end{aligned}\)
\(\begin{aligned}x=3 \implies y&=\dfrac{5}{3}-2\\&=-0.333...\end{aligned}\)
\(\begin{aligned}x=4 \implies y&=\dfrac{5}{4}-2\\&=1.25-2\\&=-0.75\end{aligned}\)
\(\begin{aligned}x=5 \implies y&=\dfrac{5}{5}-2\\&=1-2\\&=-1\end{aligned}\)
Plot the points (1, 3), (2, 0.5), (3, -0.333...), (4, -0.75) and (5, -1) on the given coordinate plane and draw a continuous curve through them.
End behaviour:
As x approaches 0 from the positive side, x tends to ∞.As x approaches ∞, y approaches -2.\(\hrulefill\)
Part (b)Given function:
\(y=\dfrac{-2}{x+1}+3, \quad x < -1\)
Substitute the values of x = -2, x = -3, x = -4 and x = -5 into the function:
\(\begin{aligned}x=-2 \implies y&=\dfrac{-2}{-2+1}+3\\&=2+3\\&=5\end{aligned}\)
\(\begin{aligned}x=-3 \implies y&=\dfrac{-2}{-3+1}+3\\&=1+3\\&=4\end{aligned}\)
\(\begin{aligned}x=-4 \implies y&=\dfrac{-2}{-4+1}+3\\&=0.666...+3\\&=3.666...\end{aligned}\)
\(\begin{aligned}x=-5 \implies y&=\dfrac{-2}{-5+1}+3\\&=0.5+3\\&=3.5\end{aligned}\)
Plot the points (-2, 5), (-3, 4), (-4, 3.666...) and (-5, 3.5) on the given coordinate plane and draw a continuous curve through them.
End behaviour:
As x approaches -1 from the negative side, x tends to ∞.As x approaches -∞, y approaches 3.Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer:
c = 8
Step-by-step explanation:
Using the Intersecting Chords Theorem, we can form the following equation and solve for c:
\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)