Answers
The answer is: The point (0,0) is part of the solution.
Why?To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.
We are given the inequality:
[tex]y\leq |x+4|-3[/tex]
So, evaluating we have:
- First point (-2,1)
[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]
Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.
- Second point (1,3)
[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]
Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.
- Third point (-4,2)
[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]
Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.
- Fourth point (0,0)
[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]
Now, since 0 is less than 1, the point (0,0) is part of the solution.
Hence, we have that the point (0,0) is part of the solution.
Have a nice day!
Related Questions
will give brainiest Please help me!!
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
Answers
Answer
1/12
3/8
4/6
reduce them there are three answers
Answer:
1/36
Step-by-step explanation:
There are 6 sides on each dice.
Total number of possible combinations
= 6 x 6
= 36
Possible combinations that have a sum of 2
= (1, 1)
Total number of combinations that will give a sum of 2
= 1
P(of rolling a sum of 2)
= 1/36
whats the slope. review but i forgot (//_^)
Answers
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (- 5, - 2)
m = [tex]\frac{-2-5}{-5-2}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
Which geometric series converges ? I still don’t understand . Can someone explain the answer and WHY !
Answers
Answer:
B
Step-by-step explanation:
A geometric series will only converge if the common ratio r meets the requirement
- 1 < r < 1
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
All terms inside the summation are of this form
The only one with - 1 < r < 1 is B where r = [tex]\frac{3}{4}[/tex] = 0.75
The series with the common ratio 2/3 and 3/4 converge. That is option A. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex] and option B. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
How did we arrive at these assertions?To determine whether a geometric series converges or diverges, we need to examine the common ratio (r) of the series. A geometric series converges if the absolute value of the common ratio is less than 1 (|r| < 1). It diverges if the absolute value of the common ratio is greater than or equal to 1 (|r| ≥ 1).
Let's analyze each series:
1. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex]
The common ratio in this series is 4/6, which simplifies to 2/3. Since |2/3| < 1, this series converges.
2. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
The common ratio in this series is 3/4. Again, |3/4| < 1, so this series also converges.
3. [tex]sum n = 1 to ∞ 3 * (7/5)^(n-1)[/tex]
The common ratio in this series is 7/5. However, |7/5| > 1, which means the series diverges.
4. [tex]sum n = 1 to ∞ 1/9 * (1)^(n-1)[/tex]
The common ratio in this series is 1. Since |1| ≥ 1, this series also diverges.
In summary:
- The series with the common ratio 2/3 and 3/4 converge.
- The series with the common ratio 7/5 and 1 diverge.
The reason behind this is that when the absolute value of the common ratio is less than 1, each subsequent term in the series becomes smaller and smaller. As a result, the sum of the series approaches a finite value. Conversely, if the absolute value of the common ratio is greater than or equal to 1, the terms in the series do not decrease enough, causing the sum to increase without bound, leading to divergence.
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which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2
Answers
Answer:
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
The given function is
[tex]g(x)=x^2-576[/tex]
When we equate the function to zero, we obtai;
[tex]x^2-576=0[/tex]
Use difference of two squares:
[tex]x^2-24^2=0[/tex]
[tex](x-24)(x+24)=0[/tex]
Use the zero product property to obtain;
[tex]x-24=0,\:and\:x+24=0[/tex]
This implies that;
[tex]x=24,\:and\:x=-24[/tex]
The correct choice is C
Answer:
The zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
In an aquarium containing 230 fish, 20% are angelfish. How many of the fish are angelfish
Answers
Answer:
46
Step-by-step explanation:
I went to google.
Search up 20% of 230,
got 46 lol
If there is an aquarium containing 230 fish, 20% are angelfish, then there are 46 angelfish in the aquarium.
To find the number of angelfish in the aquarium, we first need to calculate 20% of 230, as the given percentage represents the proportion of angelfish in the total fish population.
Calculate 20% of 230
To find 20% of a number, we multiply the number by 0.20 (which is the decimal equivalent of 20%).
20% of 230 = 0.20 * 230
= 46
Determine the number of angelfish
Now that we know that there are 46 angelfish in the aquarium, we have successfully answered the question.
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Colin invests £980 into his bank account. He receives 2.1% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate
Answers
1062.32. that's how much he will have after 4 years
Colin will have £1,062.32 after 4 years.
What is simple interest?Simple interest is the type of interest in which the accumulated interest amount is not taken into consideration while adding the interest.
It is given by:
SI = P*r*T/100
We can find the amount as follows:
The amount that Colin invests is given as £980.
The rate of interest is given as 2.1%.
The amount is deposited for 4 years.
The total amount in the bank after 4 years can be given by:
Amount = P + P*r*T/100
= P(1 + 2.1*4/100)
= 980(1 + 0.084)
= 980 * 1.084
= £1,062.32
The total amount that Colin would have after 4 years is found. The Amount that Colin would have is equal to £1,062.32.
Therefore, we have found that Colin will have £1,062.32 after 4 years.
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Solve the system using substitution. Show all work.
y = x - 5
3x - y = 7
Solve the system using the Linear Combination Method. Show all work.
2x + 2y = 12
3x + y = 2
SHOW ALL WORK AND STEPS Please. The Teacher will not grade fully and give a failing grade without showing steps and all work.
And Don't be a freaking troll as I will report you for trolling with short improper answers.
Answers
Here is the answer I hope it helps
simplify without the absolute value
|x+3| ; if x=2
Answers
After substituting x=2 into the expression |x+3|, we get |2+3| which simplifies directly to 5, with the absolute value being unnecessary since the result is positive.
To simplify the expression |x+3| without the absolute value when x=2, we substitute the value of x into the expression. The absolute value of a number refers to the non-negative value of that number without considering its sign. Since 2 + 3 equals 5, which is positive, the absolute value is not necessary, and we can simply write the expression without it.
Therefore, |2 + 3| simplifies to 5.
Divide the sum of 8 and 12 by 4
Answers
Sum of 8 and 12 = 8+12=20
20/4 = 5
boom, 5 is the answer
Explanation:
Sum=Add
12+8=20
20 divided by 4 is 5
checking my work-
5x4=20
Evaluate -5x2-3x for x= -2.
Answers
Answer:
are u a girl
Step-by-step explanation:
Answer:
-5(-2x2)-3(-2)=26
How many lines of symmetry does the letter M have
Answers
M has one line of symmetry!
Hope it helped!
80 divided by 70 plus 90 x 200 divided by 5
Answers
Answer:
3601 1/7Step-by-step explanation:
First operation:
multiplication and division
Second operation:
addition
80 divided by 70 → 80 : 70 = 8/7
90 x 200 = 18000
90 x 200 divided by 5 → 18000 : 5 = 3600
80 divided by 70 plus 90 x 200 divided by 5 → 8/7 + 3600
1 1/7 + 3600 = 3601 1/7
Find all of the zeros of f(x) = 5x^2 +40x-100
(Multiple choice is up above) if it’s right I promise to mark brainles!
Answers
Answer:the answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given
5x² + 40x - 100
To find the zeros equate to zero, that is
5x² + 40x - 100 = 0 ( divide all terms by 5 )
x² + 8x - 20 = 0
To factor the quadratic
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 8)
The factors are + 10 and - 2, since
10 × - 2 = - 20 and 10 - 2 = + 8, thus
(x + 10)(x - 2) = 0
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x - 2 = 0 ⇒ x = 2
Zeros are x = - 10 and x = 2 → B
Given: m∠MEJ=16°, Measurement of Arc MJ =5 * Measurement of Arc KL, Find: Measurement of Arc KL
Answers
Answer:
The measurement of arc KL is [tex]8\°[/tex]
Step-by-step explanation:
Let
x--------> the measure of arc KL
y-------> the measure of arc MJ
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]
we have
[tex]m<MEJ=16\°[/tex]
[tex]y=5x[/tex]
substitute the given value
[tex]16\°=\frac{1}{2}(5x-x)[/tex]
[tex]32\°=(4x)[/tex]
[tex]x=8\°[/tex]
therefore
The measurement of arc KL is [tex]8\°[/tex]
How do you do this problem
Answers
Answer:
[tex]\large\boxed{\text{Factored Form:}\ f(x)+-(x-1)(x-5)}\\\boxed{\text{Vertex Form:}\ f(x)=-(x-3)^2+4}\\\boxed{\text{Standard Form:}\ f(x)=-x^2+6x-5}[/tex]
Step-by-step explanation:
(look at the picture)
Factored form:
[tex]f(x)=a(x-x_1)(x-x_2)[/tex]
x₁, x₂ - zeros
Vertex form:
[tex]f(x)=a(x-h)^2+k[/tex]
(h, k) - vertex
Standard form:
[tex]f(x)=ax^2+bx+c[/tex]
If from the vertex we go 1 unit down (up) and 1 unit left (right) and we get the point on the parabola, then a = 1.
The parabola is open down, therefore a < 0 → a = -1.
The zeros are [tex]x_1=1[/tex] and [tex]x_2=5[/tex]. Therefore the Factored Form is:
[tex]f(x)=-(x-1)(x-5)[/tex]
The vertex is V(3, 4). Therefore the vertex form is:
[tex]f(x)=-(x-3)^2+4[/tex]
Convert it to a standard form using (a - b)² = a² - 2ab + b²
[tex]f(x)=-(x^2-2(x)(3)+3^2)+4=-x^2+6x-9+4=-x^2+6x-5[/tex]
Plz help easy math !!
Answers
The answer is A B and E
Answer is all of these, A, B, and E.
Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of a sample means x. A.) As the sample size becomes increasingly large, what distribution does the x distribution approach?
Answers
Answer:
A normal distribution
Determine the vertex of the function f(x)= -4(x-3)^2+6
Answers
Answer:
The vertex is the point (3, 6)
Step-by-step explanation:
For a quadratic function [tex]ax ^ 2 + bx + c[/tex] its vertex form is:
[tex]y = a (x-h) ^ 2 + k[/tex]
Where
a is the main coefficient
h is the x coordinate of the vertex
k is the cordage y vertice
Therefore, for a function in this way the vertex will always be the point (h, k)
Notice that for the function
[tex]f (x) = -4 (x-3) ^ 2 + 6\\\\a = -4\\\\h = 3\\\\k = 6[/tex]
Then the vertex is the point (3, 6)
Answer:
(3, 6)
Step-by-step explanation:
Since the question is in y = 1(x-h)^2 +k form and you just put the opposite sign for h making it from 3 to -3.
So far we got x as 3.
and for Y you have k which is 6 so you final answer would be (3,6)
Brainiest would be appreciated.
Please help me anyone one, please
Answers
Answer:
Step-by-step explanation:
Be sure to insert π where appropriate!
If the diameter of the yo-yo is 4 in, then the radius is 2 in.
The area comes from A = πr² and the circumference from C = πd.
In this case the area is A = π(2 in)² = 4π in² or 12.57 in².
The circumference is C = 4π in or 12.57 in.
A sports ball has a diameter of 16cm. Find the volume of the ball
Answers
Diameter d=16cm
d=r/2=8cm
Volume V(sphere)=4/3*pi*r^3
Therefore volume V=2145.52 cm^3
Hope this helps!
Answer:
The volume of ball = 2143.57 cm³
Step-by-step explanation:
Formula:-
Volume of sphere = (4/3)πr³
Where 'r' is the radius of sphere
To find the volume of ball
Here diameter of ball = 16 cm
Radius r = Diameter/2 = 16/2 = 8 cm
Volume = (4/3)πr³
= (4/3) * 3.14 * 8³
= 2143.57 cm³
Therefore volume of given ball is 2143.57 cm³
what sum 0.834,0.08 0.00034, and 0.8003
Answers
Answer:
1.72364
Step-by-step explanation:
For this case we must indicate the sum of the following decimal expressions:
[tex]0.834\\0.08\\0.00034\\0.8003\\----\\1.71464[/tex]
We add from right to left keeping the order, or we can also enter the expressions in a calculator.
Answer:
1.71464
PLEASEEEEE HELP ASAP WILL MARK BRAINIEST
Create a two-way table of the data. Of the students who were surveyed, how many were girls? How many boys liked summer?
Create a two-way relative frequency table that displays the relative frequency of the boys and girls and the season they liked best. Express your answers as fractions and then change them to decimals rounded to 2 decimal places as needed.
What percentage of girls liked winter? Show your work.
Answers
Answer:
Step-by-step explanation:
2 I think?
40% of girls liked winter.
A two-way relative frequency table was then constructed, turning the frequencies into fractions and subsequent decimals. Lastly, it was determined that 40% of girls liked winter.
To create a two-way table from the given data, we can categorize the students by gender and preferred season. Here’s how the table would look based on the information provided:
Summer
Winter
Boys
4
4
Girls
3
2
From this table, we can see that there are 5 girls and 4 boys who liked summer. To create a two-way relative frequency table, divide each entry by the total number of students, which is 12:
Summer
Winter
Boys
4/12 (0.33)
4/12 (0.33)
Girls
3/12 (0.25)
2/12 (0.17)
To find the percentage of girls who liked winter, we divide the number of girls who liked winter by the total number of girls and multiply by 100:
[tex](\frac{2}{5}) \times 100 = 40\%[/tex]
A particular sound wave can be graphed using the function
y = 1 sin 2x. Find the amplitude of the function.
Answers
Answer:
Amplitude =1
Step-by-step explanation:
Given function is [tex]y=1\cdot\sin\left(2x\right)[/tex].
Now we need to find about what is the amplitude of the given function [tex]y=1\cdot\sin\left(2x\right)[/tex].
To find that let's compare given equation [tex]y=1\cdot\sin\left(2x\right)[/tex] with standard equation [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex]. We get:
a=1
We know that amplitude of the function [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex] is given by the value of |a|.
Hence amplitude of the given function = |a|= |1|=1
Find the difference 3/4 - 5/8.
Answers
-Hello There-
If We Subtracted 5/8 From 3/4 We Would Have A Difference Of 1/8
Have A Great Day!
Answer:
The difference between 3/4 and 5/8 is 1/8
The coordinates of the center are (0,4) and the radius is 5.
Write an equation to solve the circle in standard form.
Answers
Answer:
x² + (y - 4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (0, 4) and r = 5, hence
x² + (y - 4)² = 25 ← in standard form
Joe's mom gave him $40 for cutting their grass. He used the money to buy a $10.75 game and snacks that cost $3.25 each. Joe also bought a bouquet of flowers for his mom. If Joe came home with 1/4 of the money his mom gave him, how much did the flowers cost
Answers
Answer:
The flowers costed $26 but that is only if he bought 1 snack. It says snacks as in more than one but it didn't specify how many so it depends lol
Step-by-step explanation:
The weather report shows the 5 day forecast in st.paul,minnesota.What is the sum of the various temperatures over the five day?
Answers
Answer:-2
Step-by-step explanation:
The sum of temperatures over five days in St. Paul, Minnesota would be calculated by adding the individual temperatures of each day together. If any temperatures are negative, it would decrease the total sum.
Explanation:To find the sum of the various temperatures over the five days in St. Paul, Minnesota, you need to know the specific temperatures for each day. Assuming we have those temperatures, let's say they are 20°C, 22°C, 19°C, 21°C, and 23°C. You simply add these temperatures together: 20 + 22 + 19 + 21 + 23. The total would be 105°C for the five days. This is a basic mathematical operation, summarizing data by adding them together. Note: If any of the temperatures were negative (like -5°C), this would decrease the sum because you would be essentially subtracting that value.
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Find an explicit formula for g(n)?
Answers
Answer:
g(n) = 11n
Step-by-step explanation:
Note that the values of g(n) are 11 times the corresponding values of n
Hence
g(n) = 11n
If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
Answers
2.4cm is the tangent of A
Final answer:
The tangent of angle A, with angle A opposite side X in a right triangle where X = 10 cm and Y = 24 cm, is approximately 0.4167.
Explanation:
If we have a triangle with sides X = 10 cm, Y = 24 cm, and Z = 26 cm, we can use the tangent function to determine the tangent of angle A, assuming that angle A is opposite the side X. Using the fact that the y-axis passing through the third charge bisects the 24-cm line, we create two right triangles of sides 5, 12, and 13 cm, indicating that the triangle in question is in fact a right triangle, with the two smaller sides being X and Y, and the hypotenuse being Z.
Using the definition of tangent, which in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, the tangent of angle A would be tan(A) = opposite / adjacent. In this triangle, that would mean:
tan(A) = X / Y = 10 cm / 24 cm
Calculating this gives us:
tan(A) ≈ 0.4167
Therefore, the tangent of angle A is approximately 0.4167.
Please, help!!!!! ASAP!!!
It's triangle JKL.
Answers
Answer:
Step-by-step explanation:
first look at all the equation and solve them. When you get the all of there answer then divide the answers by the sides. And then you will find your answer!