I guess that's f(x) = -3x^2+2
Well :
-3x^2+2=0
-3x^2=-2 / : (-3)
x^2= -2/-3
x^2= 2/3 / sqrt
x= +/ - sqrt(2)/sqrt(3)
We got the zero points.
x ~ +/- 0.81
f(0)= -3(0)^2 + 2
f(0)= 2
Mark three points:
(0.81;0)
(-0.81;0)
(0;2)
Connect with parabolic line and ya got a your graph
Walt has a box of 80 postage stamps. The box contains 16 stamps featuring the Bald Eagle and 40 stamps featuring the Stars and Stripes. If Walt randomly chooses a stamp to paste on an envelope, what is the probability that the stamp features the Bald Eagle or the Stars and Stripes?
Answer:
C) 0.70
Explanation:
:))
Identify the equation of the translated graph in general form x^2-y^2=8 for T(4,3)
Answer:
B
Step-by-step explanation:
A transformation of T(a,b) in the equation would give this form:
[tex](x-a)^2+(y-b)^2=8[/tex]
So, T(4,3) means translation of 4 units in x and 3 units in y. Thus, we can write:
[tex](x-4)^2+(y-3)^2=8[/tex]
Expanding and rearranging, we get:
[tex](x-4)^2-(y-3)^2-8=0\\x^2-8y+16-y^2+6y-9-8=0\\x^2-y^2-8x+6y-1=0[/tex]
Answer choice B is right.
Answer:
B
x^2-y^2-8x+6y-1=0
Please answer this question, only if you know the answer! Will give brainliest!
Answer:
Because point P is not the midpoint of OQ.
Step-by-step explanation:
The circle center is found at the intersection of the perpendicular bisectors of any two chords. Segment PC is perpendicular to OQ, but does not bisect it. Hence, point C cannot be the circle center.
solve for x
2x+3+5x=24
what is x?
Answer:
x=3
Step-by-step explanation:
[tex]2x+3+5x=24\\7x+3=24\\7x=21\\x=3[/tex]
M=−8r ^2 +11r−6 T=−7r ^2−9r+14 M+T=
Answer is: −15r ^2 +2r+8
Answer:
[tex]\large\boxed{M+T=-15r^2+2r+8}[/tex]
Step-by-step explanation:
[tex]M=-8r^2+11r-6\\T=-7r^2-9r+14\\\\M+T=?\\\\\text{Substitute:}\\\\M+T=(-8r^2+11r-6)+(-7r^2-9r+14)\\\\M+T=-8r^2+11r-6-7r^2-9r+14\qquad\text{combine like terms}\\\\M+T=(-8r^2-7r^2)+(11r-9r)+(-6+14)\\\\M+T=-15r^2+2r+8[/tex]
The expression that represents M + T is -15r^2 + 2r + 8
The equations for M and T are given as:
[tex]M=-8r^2 +11r -6[/tex]
[tex]T=-7r^2-9r+14[/tex]
The sum of M and T is represented as: M + T
This is then calculated as:
[tex]M+T=-8r^2 +11r -6-7r^2-9r+14[/tex]
Collect like terms
[tex]M+T=-8r^2 -7r^2+11r -9r-6+14[/tex]
Evaluate the like terms
[tex]M + T = -15r^2 + 2r + 8[/tex]
Hence, the expression that represents M + T is -15r^2 + 2r + 8
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Knowing that QPT = ARZ, a congruent side pair is?
Answer:
[tex]\large\boxed{\overline{QT}\cong\overline{AZ}}[/tex]
Step-by-step explanation:
[tex]\triangle QPT\cong\triangle ARZ\\\\\begin{array}{c|c}Q&A\\P&R\\T&Z\end{array}\Rightarrow\begin{array}{ccc}\overline{QP}\cong\overline{AR}\\\overline{PT}\cong\overline{RZ}\\\overline{QT}\cong\overline{AZ}\end{array}[/tex]
Answer:
First option.
Step-by-step explanation:
I drew the triangles to see it better. If two triangles are congruent the sides and the angles have the same length. Also, the order of the vertex is important. I put them as it is enunciated. So, watching the image the congruent sides are:
QT and AZ
QP and AR
PT and RZ
Then, the correct option is the first one.
16...06...68...88...?...98
What is the missing number??
Answer:
L8
Step-by-step explanation:
We turn that upside-down
86 '? '88 '89 '90 '9I
Then obviously we can tell that ? is to be replaced by 87
86 '87 '88 '89 '90 '9I
Then we turn it back right-side up again, and we have:
I6, 06, 68, 88, L8, 98
Answer: L8
Hope this helps ;)
The missing number in the sequence 16...06...68...88...?...98 is 78
How to determine the missing number in the sequenceFrom the question, we have the following parameters that can be used in our computation:
16...06...68...88...?...98
When the number are flipped upside down, we have
91....90....89.....88......?.......86
In the above sequence, we can see that -2 is added to the previous term to get the new term
This means that the complete sequence is
91....90....89.....88......87.......86
When flipped, we have
16...06...68...88...78...98
Hence, the missing number is 78
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Jody practiced a piano piece for 500 seconds bill practiced a piano piece for 8 minutes who practiced longer explain
Answer:
Jody
Step-by-step explanation:
You can either convert 500 seconds to minutes or 8 minutes to seconds to compare. I'll do both.
There is 60 seconds in a minute. To find the total minutes of 500 seconds, divide 500 by 60 → 8.3, which means that Jody practiced for 8.3 minutes.
To find the total seconds of 8 minutes, multiply 60 seconds per minute by 8 minutes → 60 * 8 = 480 seconds which means that Bill practiced for 480 seconds.
Now you can compare. Jody practiced for 500 seconds, or 8.3 minutes. Bill practiced for 480 seconds, or 8 minutes. Jody practiced longer.
Write an algebraic expression for "12 less than the quotient of 12 and a number z."
Answer:
Expression is 12 - [tex]\frac{12}{z}[/tex].
Step-by-step explanation:
Given : "12 less than the quotient of 12 and a number z."
To find : Write an algebraic expression .
Solution : We have given 12 less than the quotient of 12 and a number z."
According to question :
Let the quotient = Q
quotient of 12 and a number z.
quotient = [tex]\frac{12}{z}[/tex].
12 less than the quotient of 12 and a number z.
12 - [tex]\frac{12}{z}[/tex].
Therefore, Expression is 12 - [tex]\frac{12}{z}[/tex].
Evaluate the log without a calculator ( Show your work )
[tex]log_{2} \sqrt[5]{16}[/tex]
Answer: x = 1/5
//Hope it helps.
Answer:
[tex]\log_2(\sqrt[5]{16} )=\frac{4}{5}[/tex]
Step-by-step explanation:
The given logarithmic expression is:
[tex]\log_2(\sqrt[5]{16} )[/tex]
We rewrite the radical as an exponent to obtain;
[tex]\log_2(\sqrt[5]{16} )=\log_2(16^{\frac{1}{5}} )[/tex]
Recall and use the power rule; [tex]\log_a(M^n)=n\log_a(M)[/tex]
[tex]\log_2(\sqrt[5]{16} )=\frac{1}{5}\log_2(16 )[/tex]
We write 16 as an index number to base 2.
[tex]\log_2(\sqrt[5]{16} )=\frac{1}{5}\log_2(2^4)[/tex]
We apply the power rule again;
[tex]\log_2(\sqrt[5]{16} )=\frac{4}{5}\log_2(2)[/tex]
We simplify to get;
[tex]\log_2(\sqrt[5]{16} )=\frac{4}{5}(1)[/tex]
[tex]\log_2(\sqrt[5]{16} )=\frac{4}{5}[/tex]
Which two values of x are roots of the polynomial below? x^2-11x+15
Answer: The correct options are
(B) [tex]x=\dfrac{11+\sqrt{61}}{2}.[/tex]
(D) [tex]x=\dfrac{11-\sqrt{61}}{2}.[/tex]
Step-by-step explanation: We are given to select the values of x that are the roots of the following polynomial :
[tex]x^2-11x+15.[/tex]
The quadratic equation formed by the given polynomial will be
[tex]x^2-11x+15=0~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
we know that
the solution set of a quadratic equation [tex]ax^2+bx+c=0,~~a\neq 0[/tex] is given by
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}.[/tex]
From equation (i), we have
a = 1, b = -11 and c = 15.
Therefore, the roots of equation (i) will be given by
[tex]x=\dfrac{-(-11)\pm\sqrt{(-11)^2-4\times1\times15}}{2\times1}\\\\\\\Rightarrow x=\dfrac{11\pm\sqrt{121-60}}{2}\\\\\\\Rightarrow x=\dfrac{11\pm\sqrt{61}}{2}.[/tex]
Thus, the roots of the given polynomial are
[tex]x=\dfrac{11+\sqrt{61}}{2},~~~~~x=\dfrac{11-\sqrt{61}}{2}.[/tex]
Options (B) and (D) are CORRECT.
Answer:
b and d
Step-by-step explanation:
What is the probability of getting a head with the flip of a coin?
A) 0/2
B)1/4
C)1/2
D)2/2
Answer:
Answer is C (1/2)
Step-by-step explanation:
Alex doesn't remember what the Zero Product Property is used for. Explain to Alex what the property is and how it is used.
The Zero Product Property in mathematics states that if the product of two numbers is zero, then at least one of the numbers must be zero. You typically use this property when solving quadratic equations by setting each factored term equal to zero and then solving for every variable.
Explanation:The Zero Product Property is an essential concept in algebra, particularly when it comes to solving quadratic equations. The Zero Product Property states that if the product of two numbers, terms, or factors is zero, then at least one of the factors must be zero. In simple terms, if a * b = 0, then a has to be zero, or b has to be zero, or both.
To use the Zero Product Property, you usually start by setting an equation equal to zero. For example, let's solve the quadratic equation x^2 - 5x = 0. First, you would factor the equation to (x)(x-5) = 0. Now, using the Zero Product Property, we can set each factor equal to zero and solve for x. This gives us x = 0 and x = 5.
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Someone help me please
Answer:
P = 48A = 144Step-by-step explanation:
The formula of regular polygon with n sides of length b and apothem a:
[tex]A=\dfrac{nba}{2}[/tex]
We have:
n = 6
b = 8
a = 6
Substitute:
[tex]A=\dfrac{(6)(8)(6)}{2}=144[/tex]
The perimeter:
[tex]P=6b\to P=(6)(8)=48[/tex]
Simplify 27 2
the 2 is tiny so I think it's 27 to the power of 2
Find all solutions of the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to two decimal places where appropriate.) cos θ + 1 = 0
Answer:
θ = 6.28k +3.14
Step-by-step explanation:
cos(θ) is -1 for θ = π and multiples of 2π added to that.
___
The answer above rounds π and 2π as requested by the problem statement. Those values are only valid for small values of k. (I suppose it might be reasonable to argue that no rounding is appropriate.)
Evaluate lim x → 0+ x ln(x3). solution the given limit is indeterminate because, as x → 0+, the first factor (x) approaches 0 correct: your answer is correct. while the second factor ln(x3) approaches −∞. writing x = 1/(1/x), we have 1/x → ∞ as x → 0+, so l'hospital's rule gives lim x → 0+ x ln(x3) = lim x → 0+ ln(x3) 1/x = lim x → 0+ 3/x −1/x2 = lim x → 0+ incorrect: your answer is incorrect. = .
[tex]\displaystyle\lim_{x\to0^+}x\ln x^3=\lim_{x\to\infty}\frac{\ln\frac1{x^3}}x=-3\lim_{x\to\infty}\frac{\ln x}x=\frac\infty\infty[/tex]
L'Hopital's rule tells us the limit is equal to
[tex]-3\displaystyle\lim_{x\to\infty}\frac{\frac1x}1=0[/tex]
south korea’s leadership arrested and killed thousands of
Answer:
4. South Korea’s leadership arrested and killed thousands of
✔ alleged North Korean agents.
Step-by-step explanation:
got it right on edge 2021
Answer:
alleged North Korean agents.
Step-by-step explanation:
Edge 2022
Please help me out.......... :)
Answer:
y = 16Step-by-step explanation:
In a parallelogram opposite angles are congruent. Therefore we have the equation:
10y - 29 = 7y +19 add 29 to both sides
10y = 7y + 48 subtract 7y from both sides
3y = 48 divide both sides by 3
y = 16
I will give BRAINLY im bad at math
Answer:
[tex]an = 2.5 + (n - 1)(-5)[/tex]
Step-by-step explanation:
we know that
The explicit formula for the nth term of an arithmetic sequence is given by the formula
[tex]an = a1 + (n - 1)r[/tex]
where
a1 is the first term
n is the term number
r is the common difference
In this problem we have
[tex]a1=2.5, r=-5[/tex]
substitute
[tex]an = 2.5 + (n - 1)(-5)[/tex]
Jason is cutting a roll of sausage into pieces that are 1/2 inches thifk if the roll is 6 inchew long how many pieces of sausage can he. Cut use tiles to hlep to solve
Final answer:
Jason can cut 12 pieces of sausage from the 6-inch roll, since dividing the roll's length by the thickness of each piece (6 inches ÷ 1/2 inch) yields 12 pieces.
Explanation:
To determine how many pieces of sausage Jason can cut from a roll that is 6 inches long, where each piece is 1/2 inches thick, one would perform a simple division.
The length of the sausage roll (6 inches) is divided by the thickness of each piece (1/2 inch) to find out how many pieces can be cut.
This is a basic fraction division problem that we solve by multiplying the length of the roll by the reciprocal of the thickness of the pieces to be cut.
Calculation
To calculate:
6 inches × 2/1 (which is the reciprocal of 1/2) equals 12.
So, Jason can cut 12 half-inch-thick pieces from the 6-inch roll.
There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once. In which distributions does the variable X have a binomial distribution? Select each correct answer. When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen. When a card is chosen at random without replacement three times, X is the number of times an even number is chosen. When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen. When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen.
Answer:
When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen; When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.
Step-by-step explanation:
In a binomial distribution, there are only two outcomes, or outcomes that can be reduced to 2. In the first choice, we either draw a prime number or do not draw a prime number. In the third choice, we either draw a 3 or do not draw a 3.
There must be a fixed number of trials. In the first choice, we have 5 trials; in the third option, we have 6 trials.
The trials must be independent of each other. Since the cards in the first and third options are drawn with replacement, the outcome of one trial does not influence the probability of the next trial.
The probability must be the same for every trial. This is true of the first and third options.
Answer:
Prime And 3 is choosen
Step-by-step explanation:
plz help me
WILL GIVE BRAINLIEST
Answer:
2 and -1
Step-by-step explanation:
y = x^2 -x-2
To find the x intercept, set y = 0
0 = x^2 -x-2
Factor
What 2 numbers multiply to -2 and add to -1
-2*1 = -2
-2 +1 = -1
0 = (x-2) (x+1)
Using the zero product product property
x-2 = 0 x+1 =0
x=2 x=-1
HELP! ASAP
Find the area of the shaded region.
Step 1) Find the area of the bigger rectangle.
Step 2) Find the area of the smaller rectangle.
Step 3) Subtract the 2 polynomials.
Answer:
Tthe area of the shaded region is [tex](x^{2}-3x+36)\ unit^{2}[/tex]
Step-by-step explanation:
we know that
To find the area of the shaded region (blue region), subtract the area of the smaller rectangle from the area of the larger square
so
Find the area of the larger square
[tex]A=(x+1)^{2}=(x^{2}+2x+1)\ unit^{2}[/tex]
Find the area of the smaller rectangle
[tex]A=5(x-7)=(5x-35)\ unit^{2}[/tex]
Subtract the polynomials
[tex](x^{2}+2x+1)-(5x-35)=(x^{2}-3x+36)\ unit^{2}[/tex]
WHICH OF THE FOLLOWING DESCRIBES THE FUNCTION -X^4+1?
Answer:
B
Step-by-step explanation:
The function -x^4 + 1 is a polynomial graph. As such it has specific characteristics or behavior you can expect to see:
It's leading coefficient is -1. This means the graph changes direction. Both ends of this graph face down into negative infinity.Its degree is 4 meaning it is an even graph. This means both ends end the same way and NOT opposite directions.In conclusion, this graphs has ends which end the same direction and both face down.
Do you think that a 270° clockwise rotation is the same as a 90° counterclockwise rotation? Explain why or why not.
Answer: This would equal the same distance
Explanation: Think of a clock if it rotates 90 degrees counter clockwise it would stop at the number 9. If it rotates 90 clockwise it would stop at 3, then rotate that hand clockwise by 90 degrees one more time it will stop at 6, then 9 at 270 degrees.
Answer:
sorry if im late but this is the answer:
Step-by-step explanation:
Yes, I think they are the same. One revolution is 360 degrees. A 180-degree clockwise rotation is the same as a 180-degree counterclockwise rotation. The sum of the measures is 360. So, moving in a clockwise direction for 270 degrees would end at the same place as moving 90 degrees in a counterclockwise direction.
Identify the graph of 9X^2+4xy+5y^2-40=0 and find theta to the nearest degree.
Answer:
The answer is ellipse; 23° to the nearest degree ⇒ answer (d)
Step-by-step explanation:
* At first lets talk about the general form of the conic equation
- Ax² + Bxy + Cy² + Dx + Ey + F = 0
∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.
∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.
∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.
* Now we will study our equation:
- 9x² + 4xy + 5y² - 40 = 0
∵ A = 9 , B = 4 , 5 = 5
∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0
∴ B² - 4AC < 0
∴ If a conic exists, it will be either a circle or an ellipse.
* To find the type of the graph lets check;
- If A and C are nonzero, have the same sign, and are not
equal to each other, then the graph is an ellipse.
- If A and C are equal and nonzero and have the same
sign, then the graph is a circle.
∵ A and C have same signs and are not equal
∴ The graph is an ellipse
* If we have term xy ⇒ B ≠ 0
∴ The graph is rotate by angle Ф
* To find the angle of rotation use the rule:
- cot(2Ф) = (A - C)/B
∵ A = 9 , B = 4 , C = 5
∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1
∴ tan(2Ф) = 1
∴ 2Ф = 45°
∴ Ф = 22.5° ≅ 23° to the nearest degree
* The answer is ellipse; with angle of rotation = 23°
what is the surface area of this square pyramid?
round your answer to the nearest tenth, if necessary.
a. 43.8yd^2
b. 66.6yd^2
c. 105 yd^2
d. 171.6^2
Answer:
c. 105 yd^2.
Step-by-step explanation:
First find the slant height (h) of each of the triangular walls:
tan 60 = h / 3.1
h = 3.1 tan 60
= 5.369 yds.
Area of each side = 3.1* 5.369
= 16.645
Total surface area of the pyramid
= 4 * 16.645 + 6.2^2
= 105.02 yd^2.
What are the mean, median, mode and range of the data set given the altitude of lakes in feet -12 -9 -14 -39 -49 -18 and -43
Hence, the lakes' altitudes varied by 40 feet. To sum up: Average: around -26.3 feet, Average: -18 feet , Zero mode and 30 to 40 ft.
what is mean ?The mean, a statistic of central tendency in mathematics, is the average of a group of numerical values. It is also frequently known as the geometric average. A set of values' mean is calculated by adding up all of the values and dividing the result by the amount of values in the set. The mean can be determined, for instance, if the set of values is 3, 5, 7, 9, and 11, by multiplying the values together and dividing them by the total amount of numbers: Mean = (3 + 5 + 7 + 9 + 11) / 5 = 7 .As a result, 7 represents the set's mean value.
given
The median altitude of the lakes is -18 feet because the middle number is -18.
Mode: To identify the mode, we search the collection for the number that pops up the most often. There is no mode because no number appears more than once in this instance.
Range: To get the range, divide the largest by the smallest number:
Maximum number - smallest number equals the range (-9) - (-49) = 40
Hence, the lakes' altitudes varied by 40 feet. To sum up: Average: around -26.3 feet, Average: -18 feet , Zero mode and 30 to 40 ft.
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Selena walks from home to school each morning and back each afternoon altogether she walks 2/3 mile each day how far does Selena live from school
Answer:
Selena lives 1/3 of a mile away from her school.
Step-by-step explanation: If the walk to her school AND back is 2/3 of a mile, then all you have to do is split 2/3 in half. Which is 1/3 of a mile.
Answer:
1/3 miles. 2/3 divided by 2 = 1/3.
Step-by-step explanation: