Answers
Plug in -3 for f(x) into the first equation.
-3 = x^2 - 5x + 3
x^2 - 5x + 6 = 0
Factor!
(x - 3)(x - 2) = 0
Set each binomial equal to 0 to get the x-value of the point.
x = 3
x = 2
Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.
(3)^2 - 5(3) + 3
9 - 15 + 3
-6 + 3
-3
(2)^2 - 5(2) + 3
4 - 10 + 3
-6 + 3
-3
Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)
Hope this helps!! :)
Related Questions
A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 10% of scores B: Scores below the top 10% and above the bottom 58% C: Scores below the top 42% and above the bottom 20% D: Scores below the top 80% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answers
Answer:
The numerical limits for a D grade are 58(lower limit) and 61(upper limit).
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3.
This means that [tex]\mu = 67.3, \sigma = 7.3[/tex]
D: Scores below the top 80% and above the bottom 9%
This means that lower bound is the 9th percentile and the upper bound is the 100 - 80 = 20th percentile.
9th percentile:
This is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 67.3}{7.3}[/tex]
[tex]X - 67.3 = -1.34*7.3[/tex]
[tex]X = 57.52[/tex]
Rounding to the nearest whole number, 58.
20th percentile:
This is X when Z has a pvalue of 0.2. So X when Z = -0.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 67.3}{7.3}[/tex]
[tex]X - 67.3 = -0.84*7.3[/tex]
[tex]X = 61.17[/tex]
Rounding to the nearest whole number, 61.
The numerical limits for a D grade are 58(lower limit) and 61(upper limit).
Find the general term of series 1/2-1+2-4+
Answers
For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.
Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?
Answers
Because 16/4 is 4
Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi
Answers
Answer:
The rule for the translations can be written as T -3,1(x,y).
The rule for translations can be written as (x,y)➡️(x-3,y+1).
Step-by-step explanation:
Answer:
A, and D
Step-by-step explanation:
Took Unit test edge 2022
what is BD?
please help i can’t fail another test
Answers
Answer:
C. 8
Step-by-step explanation:
BD is the altitude of the right triangle.
Apply the altitude theorem of a triangle to find BD. Based on the theorem, thus:
h = √(xy)
Where,
h = BD
x = 16
y = 4
Plug in the values
BD = √(16*4)
BD = √64
BD = 8
WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT
Answers
Answer:
16.8km
Step-by-step explanation:
Arc length = 2πr(θ/360)
=2π(8)(120/360)
=16.7551608191
≈16.8km
Answer:
16.8 km
Step-by-step explanation:
Arc length = 2πr (θ/360)
So plug in the values:
2π(8)(120/360) = 16π(1/3) = 16π/3
16.75516 ——————> 16.8 km
1) rotation 180° about the origin
Answers
Answer:
Q (0,1) H (3,5) J (5,3)
Step-by-step explanation:
Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.
(x,y) becomes (-x,-y).
So, (0, -1) becomes (0,1).
(-3,-5) becomes (3,5).
And, (-5, -3) becomes (5,3).
Answer: Here you go, hope this helps.
Step-by-step explanation:
Look at the pic smart people
Answers
Answer is 8/10..............
Okay here we go.
They're in different denominators, so we convert 1/5 to 2/10 by multiplying both numerator and denominator by 2.
1 x 2= 2
5 x 2= 10
So now that 1/5 is equivalent is 2/10, we just add.
2/10 + 6/10= ?
For adding fractions, only add the numerators.
2+6=8 --> 8/10
2/10 + 6/10= 8/10
And so there you go.
1/5 + 6/10= 8/10
Hope this helps!
Find the line of symmetry.
f(x) = -2x2 + 12x - 20
Answers
Hope this helps :)
PLEASE HELP AGAIN. IM TIMES
Answers
Answer:
u didnt put any questions
Step-by-step explanation:
Find the area of each figure. Round to the nearest tenth if necessary
Answers
Answer:
c. 952.4 in²
Step-by-step explanation:
The figure can be decomposed into a square, a trapezoid and a semicircle
Find the area of each to determine the area of the figure.
✔️Area of square = s²
s = 13 in
Area of square = 13² = 169 in²
✔️Area of trapezoid = ½(a + b)h
a = 13 in
b = 30 in
h = 20 in
Area of trapezoid = ½(13 + 30)20
= 430 in²
✔️Area of semicircle = ½(πr²)
r = ½(30) = 15 in
Area = ½(π*15²)
Area ≈ 353.4 in²
✅Area of the figure = 169 + 430 + 353.4
= 952.4 in²
The volumes of two bodies are measured to be
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³. Calculate sum and difference in
volumes with error limits.
Answers
Answer:
Sum of volumes = (16.6 ± 0.03) cm³
Difference of volumes = (3.8 ± 0.03) cm³
Step-by-step explanation:
Solution
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.
∆V = ± (∆V₁ + ∆V₂)
= ± (0.02 + 0.01) cm³
= ± 0.03 cm³
V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and
V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³
Hence, sum of volumes = (16.6 ± 0.03) cm³
and difference of volumes = (3.8 ± 0.03) cm³
-TheUnknownScientist
Step-by-step explanation:
sum = (16.6 ± 0.03) cm³
difference = (3.8 ± 0.03) cm³
Find the value of x (only answer if you're sure)
Answers
Answer:
x = 5.4
Step-by-step explanation:
Ratios:
[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]
A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?
Answers
Answer:
the mean is 40 degrees celcius
standar deviaton is 1.11 degrees Celsius
Step-by-step explanation
khan academy
The temperature values of the participants in celcius are :
Mean = 40°CStandard deviation = - 16.67°CInformation about body temperature :
Mean = 104°F
Standard deviation = 2°F
To convert to Celsius temperature :
°C = 5/9(°F - 32)
To temperature values in °C :
Mean temperature :
°C = 5/9(104 - 32)
°C = 40°C
Standard deviation of temperature :
°C = 5/9(2 - 32)
°C = - 16.67°C
Hence, the temperature values in Celcius are : 40°C and - 16.67°C
Learn more : https://brainly.com/question/18112348
free 20 points. just answer this question please XD.
what is m<5 if m<2 is 45 degrees and m<3 is 60 degrees?
Answers
Answer:
Ty for the points.
m<5 is 90 degrees.
Answer:
90
Step-by-step explanation:
Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
Answers
hi
price all taxes included is : 9.99 + 0.03*9.99 ≈ 10.29
So change is : 11 - 10.29 = 0.71
Answer:
acualy you would divide 9.99 by 3
Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?
Answers
The price of 1 raffle ticket is $12
because
[tex]36 \div 3 = 12[/tex]
The table shows the results of a class survey about pets. Suppose 53 students were surveyed. About how many students have one pet? Justify your answer. (I really need an answer now! Please answer as soon as you can )
Answers
An expression is shown.
14a + 7 + 5b + 2a + 10b
What are the coefficient(s) of the expression?
Group of answer choices
14, 7, 5, 2, 10
14a, 5b, 2a, 10b
14, 5, 2, 10
a, b
7
Answers
Answer:
C
Step-by-step explanation:
:)
pick the correct inequality
Answers
Answer:
d
Step-by-step explanation:
the answer is d because it's a closed circle
Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answers
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
32 / (-4) . 3 - (-1)
Answers
Answer:
-32
Explanation:
32/ -4 = -8
3 - -1 = 3+1 = 4
-8x4 = -32
-9,7 with a rotation of 180°
Answers
Answer:
(9,-7)
Step-by-step explanation:
Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.
The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side of the rectangle.
Answers
9514 1404 393
Answer:
57.1°
Step-by-step explanation:
The sides of the rectangle are adjacent and opposite the angle, so the measure is ...
α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°
The angle between the diagonal and the short side is about 57.1°.
Help Pls
Its a math question, see attachments
Answers
Answer:
1) A) 25%
2) B) 16%
3) A) 93%
Step-by-step explanation:
1)
0.25 = 25%
2)
More than 3 means, 4 and 5
0.12 + 0.04 = 0.16 = 16%
3)
x ≥ 1
So that means 1+ days (everything except 0)
0.25 + 0.18 + 0.34 + 0.12 + 0.04
0.93 = 93%
Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.
f(x) = -2x2 + 32x - 126
Answers
Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
this is what i got -2(x-9)(-7) hope it helps
Step-by-step explanation:
Does anyone know the answer ? :(
Answers
Answer:
If it a khan you can go take a hint and try to find it
Help please asap will mark brainliest !
Answers
Answer:
The answer for G and K is 103
The answer for K and J is 77
The answer for I and H is 43
Holly has4/6quart of potato salad. She gives2/6
quart to a friend,
How much potato salad does she have left?
Answers
Answer:
Hi! The answer to your question is [tex]1/3[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Stay Safe!!!
Hope this helps!!
- Brooklynn Deka