HELP ASAP!!!
Identify the zeros of the function f(x) = x² – 3x.
A.0, -3
B.0,3
C.3,3
D.-3, -3
Answers
Answer:
B. 0,3
Step-by-step explanation:
[tex]\texttt{Identify the zeros of the function}:f(x)=x^2-3x[/tex]
The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.
= 0,3
Related Questions
What is the answer to 0.038 ounces to mg
Answers
Answer:
1,077.281879 mg is the answer
Which of the following is equivalent to the quantity three fifths end quantity to the power of 2 times x?
A - the quantity three fifths end quantity to the power of x
B - the quantity 6 over 10 end quantity to the power of x
C - the quantity 9 over 5 end quantity to the power of x
D - the quantity 9 over 25 end quantity to the power of x
Answers
Answer:
B is correct
Step-by-step explanation:
three fifths= 6/10= 0.6
since the quantity is to a power of (2×x)=2x
so B is correct
24x(4+17)-18x11=
A
296
B 306
C 1,045
D) 5,346
Answers
Answer:
B. 306
Step-by-step explanation:
using pemdas you would do parenthesis, exponents, multiplication or division whatever comes first, and lastly addition or subtraction whatever comes first.
Answer: B
Step-by-step explanation:
Decrease 964,763
by 1,000.
Answers
Plss help me with this! 20 pointss
Answers
Answer:
4.57 meters
Step-by-step explanation:
Answer: 4.57 meters
Step-by-step explanation:
6 - 1.43 = 4.57 meters
HELPNOW. NO EXPLAINATIOON NEEDED. PLEASE ANSWER ASAP.
Find the scale if:
Answers
The scale used on the map is 1 centimeter to 12.5 kilometers.
How to find the scale?When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.
This means that each unit on the scale drawing not represents the same unit on the original thing.
On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).
Then the scale will be in cm to km, and to get the scale we can write:
4cm = 50km
Dividing both sides by 4 we get:
1cm = 50km/4 = 12.5 km
Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.
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Solve the literal equation for x. State any
necessary restrictions on the letters
representing constants in the equation.
a (bx + c) = 0
Answers
Bx + c =0
Subtract c from both sides
Bx= —c
Divide both sides by b
And your answer is x= — c/b
[tex] \boxed{\begin{gathered} \rm Let \: \psi_1 : [0, \infty ) \to \mathbb{R} , \psi_2 : [0, \infty ) \to \mathbb{R},f :[0, \infty )\to \mathbb{R} \: and \: g :[0, \infty) \to \mathbb{R} \: be \\ \rm functions \: such \: that \: f(0) = g(0) = 0, \\\\ \rm \psi_{1}(x) = {e}^{ - x} + x, \: \: x \geq0, \\ \rm \psi_{2}(x) = {x}^{2} - 2x - 2 {e}^{ - x} + 2, \: \: x > 0, \\ \rm f(x) = \int_{ - x}^{x} ( |t| - {t}^{2} ) {e}^{ - {t}^{2} } \: dt, \: \: x > 0 \\\\ \rm g(x) = \int_0^{ {x}^{2} } \sqrt{t} \: {e}^{ - t} \: dt, \: \: x > 0 \end{gathered}}[/tex]
Which of the following is True?
[tex] \rm (A) \: \rm \: f ( \sqrt{ \ln 3 } )+ g( \sqrt{ \ln3} ) = \dfrac{1}{3} [/tex]
(B) For every x>1, there exists an α ∈ (1,x) such that ψ₁(x)=1+ax
(C) For every x>0, there exists a β ∈ (0,x) such that ψ₂(x)=2x(ψ₁(β)-1)
(D) f is an increasing function on the interval [tex] \bigg [0 , \dfrac{3}{2} \bigg][/tex]
Answers
(A) is false. By symmetry,
[tex]\displaystyle f(x) = \int_{-x}^x (|t|_t^2) e^{-t^2} \, dt = 2 \int_0^x (t-t^2) e^{-t^2} \, dt[/tex]
where [tex]|t|=t[/tex] since [tex]x>0[/tex]. Substitute [tex]s=t^2[/tex] to get the equivalent integral,
[tex]\displaystyle f(x) = \int_0^{x^2} (1 - \sqrt s) e^{-s} \, ds[/tex]
Then
[tex]\displaystyle f(x) + g(x) = \int_0^{x^2} e^{-s} \, ds[/tex]
[tex]\displaystyle f(\sqrt{\ln(3)}) + g(\sqrt{\ln(3)}) = \int_0^{\ln(3)} e^{-s} \, ds = \frac23 \neq \frac13[/tex]
(B) is false. Note that [tex]1+\alpha x[/tex] is linear so its derivative is the constant [tex]\alpha[/tex] at every point. We then have
[tex]{\psi_1}'(\alpha) = -e^{-\alpha}+1 = \alpha \implies 1-\alpha = e^{-\alpha}[/tex]
But this has no solutions, since the left side is negative for [tex]\alpha>1[/tex] and the right side is positive for all [tex]\alpha[/tex].
(C) is true. By the same reasoning as in (B), the line [tex]2x(\psi_1(\beta)-1)[/tex] has constant derivative, [tex]2\psi_1(\beta)-2 = 2e^{-\beta+2\beta-2[/tex]. Then
[tex]{\psi_2}'(\beta) = 2\beta-2+2e^{-\beta} = 2e^{-\beta}+2\beta-2[/tex]
holds for all values of [tex]\beta[/tex].
(D) is false. We use the first derivative test. By the fundamental theorem of calculus,
[tex]\displaystyle f(x) = 2 \int_0^x (t-t^2)e^{-t^2}\,dt \implies f'(x) = 2(x-x^2)e^{-x^2}[/tex]
Solve for the critical points.
[tex]f'(x) = 0 \implies x-x^2 = 0 \implies x = 0 \text{ or } x = 1[/tex]
[tex]e^{-x^2}>0[/tex] for all [tex]x[/tex], so the sign of [tex]f'[/tex] depends on the sign of [tex]x-x^2[/tex]. It's easy to see [tex]f'>0[/tex] for [tex]x\in(0,1)[/tex] and [tex]f'<0[/tex] for [tex]x\in\left(0,\frac32\right)[/tex]
2. ¿Qué probabilidad hay de extraer una A seguida de una M de las letras de la
palabra MATEMÁTICAS (sin devolución)?
Answers
Usando su concepto, se encuentra que hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.
¿Qué es una probabilidad?Una probabilidad viene dada por el número de resultados deseados dividido por el número de resultados totales.
En este problema, hay que:
De las 11 letras, 3 son A.De las 10 letras restantes, 2 son M.Asi:
p = 3/11 x 2/10 = 3/55
Hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.
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What is the third common multiple of two numbers is 72
Answers
Answer:
x-2-10123
y0.1 0.3 0.9 2.7 8.1 24.3
Yolanda scored 10 points in a basketball game. She could have scored with one‐point free throws, two‐point field goals, or three‐point field goals. In how many different ways could she have scored her 10 points?
Answers
she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).
Answers
Answer:
y = 0, one solution
Step-by-step explanation:
15y + 14 = 14 y + 14
-14y -14y
y + 14 = 14
-14 -14
y = 0
so one solution
zero, one solution.
Given the function h(x)=-x^2-5x+11h(x)=−x
2
−5x+11, determine the average rate of change of the function over the interval -8\le x \le 4−8≤x≤4.
Answers
The average rate of change of the function over the interval is -9.25
How to determine the average rate of change of the function over the interval?The given parameters are
h(x) = x^2 - 5x + 11
−8 ≤ x ≤ 4
Calculate h(4) and h(-8)
So, we have
h(4) = (4)^2 - 5(4) + 11 = 7
h(-8) = (-8)^2 - 5(-8) + 11 = 115
The average rate of change of the function over the interval is then calculated as
Rate = [h(4) - h(-8)]/[4 - -8]
This gives
Rate = [7 - 118/[12]
Evaluate
Rate = -9.25
Hence, the average rate of change of the function over the interval is -9.25
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Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answers
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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The Henderson family and the Ramirez family each used their sprinklers last summer. The water output rate for the Henderson family's sprinkler was 40 L per hour. The water output rate for the Ramirez family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 2125 L. How long was each sprinkler used?
Answers
Answer:
Henderson family spent 40 hrs, while Ramirez spent 15 hrs.
Step-by-step explanation:
Let t = time in hrs the Henderson family used their sprinkler
Let 55 - t = time in hrs the Ramirez family used their sprinkler.
40t+35*(55-t)=2125
40t+1925-35t=2125
calculcate this and you will get t=40.
then 55-40=15.
So, Henderson family spent 40 hrs, while Ramirez spent 15 hrs.
A school playground is in the shape of a rectangle 800 feet long and 100 feet wideIf fencing costs $15 per yard, what will it cost to place fencing around the playground?
Answers
800+100=900
900*2=1800
1800/3=600
600*15=9000
Given f(x)=x²-3x+ 3, find the value(s) for x such that f(x) = 13
The solution set is
Answers
Answer:
putting values,
13*13-3*13+3
=169-39+3
=133
Michael is arranging 14 cans of food in a row on a shelf. He has 5 cans of carrots, 1 can of beets, and 8 cans of corn. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?
Answers
18018
Given:
Number of cans = 14
Number of cans of carrots = 5
Number of cans of beets = 1
Number of cans of corn = 8
When there are n objects to be arranged in order, out of which r1 objects are of one kind, r2 objects are of another and so on, then the number of different arrangement is given as:
[tex]\frac{n!}{r_{1!*rx_{2 }! }.......r_{n} ! }[/tex]
n=14, r1= 5 ,r2=8
therefore 14!/(5!*8!)
=18,018
Therefore, the distinct orders in which the cans can be arranged is 18018
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Question 3(Multiple Choice Worth 5 points)
(01.03 MC)
Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answers
Answer:5.42
Step-by-step explanation:maybe it is maybe is not
1, Let a = 2i-3j +4k and b = 2i+4k
a) Find the Projection of a "a" long "b"
b) Find the Projection of "b" along "a"
Answers
The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]
Given that a = 2i-3j +4k and b = 2i+4k
To find Projection,
Projection of "x" on "Y"=(X vector).(Y unit vecot)
Projection of "a" along "b" = (a vector).(b unit vector)
Projection of "a" along "b" = ( 2i-3j +4k).([tex]\frac{2i+4k}{\sqrt{29} }[/tex])
Projection of "a" along "b" =[tex]\frac{4+16}{\sqrt{20} }[/tex]
Projection of "a" along "b" =[tex]\frac{20}{\sqrt{20} }[/tex]
Projection of "a" along "b" =[tex]\sqrt{20}[/tex]
Projection of "b" along "a" = (b vector).(a unit vector)
Projection of "b" along "a" = ( 2i+4k).([tex]\frac{2i-3j +4k}{\sqrt{29} }[/tex])
Projection of "b" along "a" = [tex]\frac{20}{\sqrt{29} }[/tex]
Therefore,The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]
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Find the equation of the line whose slope is -3 and which passes through the point (-5, 3).
y = 3x + 12
y=-3x - 12
y=-3x - 18
y=-3x + 8
Answers
You save $15 each month to buy a tablet that
Cost $84.99. Describe the number of months
gou need to save to buy the tablet.
Answers
Answer:
5 2/3 months
Step-by-step explanation:
Divide 84.99 by 15.
84.99/15 = 5 2/3
Total Cost $84.99
$15.00 x 5 = $75.00
Still to little ^
So you need another month
$15.00 x 6 = $90.00
So 6 months in total, you would have more then enough
Please help I’m having trouble
Answers
12x7x5=420
Hot dogs come in packages of 8. What is the least number of hot dogs and buns you can buy so that you have the same of each
Answers
The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so you have the same number of sausages and buns.
What is the least number of hot dogs and buns you can buy so that you have the same of each?Sausages come ni packages of 8, while buns come in packages of 12. So here we need to find the lowest common multiple between 8 and 12.
If we decompose these two numbers as a product of primes:
8 = 2*2*2
12 = 2*2*3
To have the lowest common multiple we need to multiply 12 by 2 and 8 by 3, then we get:
8*3 = 24
12*2 = 24
The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so yo have the same number of sausages and buns.
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after a 27% reduction, you purchase a new painting for $146. what was the original price of the painting?
Answers
Answer:
$200
Step-by-step explanation:
At 27% reduction, we pay 100%-27%=73% of the original price O.
73% * O = $146
O = $146 / 73%
O = $2 / 1%
O = $2 / (1/100) = $2 * 100 = $200
Answer:
$ 200
Step-by-step explanation:
27 % off means you pay 73% ( or .73 in decimal)
.73 * x = 146 x = original price
x = 146/.73 = $ 200
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
Answers
For median let’s rearrange in order: 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10. Go to the middle: there’s an even number of options so between option 6 and option 7. Both have the value of 7 so it will be 7, but let’s set up the math for it anyway 7+7/2=7.
The first answer option is correct
⊂ Hey, rosedalphinis ⊃
Answer:
Mean: 6.9 hours; Median 7 hours
Step-by-step explanation:
⇒ Given:
-------------------------------------------------------------------------------------------------------------
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
⇒ Solution~:
-------------------------------------------------------------------------------------------------------------
Let's first define "Median".
You may be wondering "What is median/What is mean?".
When it asking for "Mean" It asking for the average.
When it asking for "Median" It asking for the middle number.
The formula for "Mean" is : M = sum of the terms/number of terms
According to the given we have;
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
Let's first find the "Mean":
First, add all the number together.
8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
34 + 9 + 6 + 5 + 10 + 7 + 6 + 6
43+ 6 + 5 + 10 + 7 + 6 + 6
49+ 5 + 10 + 7 + 6 + 6
54+ 10 + 7 + 6 + 6
64 + 7 + 6 + 6
71+ 6 + 6
77 + 6
= 83
Now let's count how many numbers of hours each student in a class slept.
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12
Now 83 divide by 12:
83/12 = 6.9166666666667 {Round}
6.9166666666667 = 6.9
Therefore, Mean = 6.9
-------------------------------------------------------------------------------------------------------------
Next, Let's find the "Median":
To find the Median, place the numbers in value order and find the middle.
⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now we have them in order:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Then, we find the middle number:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now You see that there two's 7 left.
If there is an even number of numbers add the two middles and divide by 2
Thus,
7 + 7 = 14
14/2 = 7
Therefore, Median = 7.
-------------------------------------------------------------------------------------------------------------
According to the solving above we can conclude that:
Mean: 6.9 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
xcookiex12
9/4/2022
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Can someone tell me the answer to the domain and range please
Answers
Answer:
1)
D) -4<x≤-1
R) 4>y≥2
2)
D) 3≤x<5
R) 0≥y>-3
Step-by-step explanation:
(only in 7th so might be wrong)
1)
D) -4<x≤-1
R) 4>y≥2
2)
D) 3≤x<5
R) 0≥y>-3
Just find the range of how far the function goes (both how high; y, and how far; x)
Please help ASAP!!
Reporting wring answers. Thank you.
Write a problem that uses both multiplication and division
and whose answer is -9. Write the problem and then show the solution.
Answers
Answer:
(-27*3) ÷9
Step-by-step explanation:
-27*3=-81
-81/9=-9
Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, in which point A
has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)
Answers
Answer:
C) P(1, -26/7)
Step-by-step explanation:
You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.
Weighted averageEach of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.
P = (2A +5B)/(2+5)
P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7
P = (1, -26/7)
The coordinates of P are (1, -26/7).
SOMEONE HELP PLEASE PLEASE
Answers
Answer: Stand A
Step-by-step explanation:
A.
3/4 of a pound is $2
[tex]\frac{4}{3} x=2\\\\\x=\frac{2}{\frac{3}{4} } =\boxed{\frac{8}{3} \ or\ 2.66}[/tex]
Therefore one pound is $2.7 rounded
B.
[tex]\frac{5}{4} x=3.45\\\\x=3.45*\frac{4}{5} \\\\x=\boxed{2.76}[/tex]
Therefore one pound is $2.8 rounded
C.
[tex]\frac{11}{2} x=14.85\\\\x=14.85\times\frac{2}{11} \\\\x=\boxed{2.7}[/tex]
Therefore one pound is $2.7
The stand that sold tomatoes for the least expensive price per pound is Stand A because they sold theirs for $2.66 while the other stands sold them for more.