As per the quadratic equation, the given equation can be modified into (x - 2)² = 1. The value of x is 3, 1.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.
Given equation: x² - 4x + 3 = 0
⇒ x² - 4x + 3 + 1 = 1 (By adding 1 on either side)
⇒ x² - 4x + 4 = 1
⇒ x² - 2 × x × 2 + 2² = 1
⇒ (x - 2)² = 1
⇒ x - 2 = ±1
⇒ x = 3, 1
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2 pts
Question 3
Select all parts from the expression above that represents a constant term.
-4.9
-4.9t?
1.8
22
22t
Which ones are constant terms pls help
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
I need help ASAP
3k+30=95+k+2k-5
Answer:
Step-by-step explanation:
3k+30=95+k+2k-5
3k+30=100+3k
-30 -30
3k=70+3k
-3k -3k
k=70
Factoring Polynomials Completely Step by step
Answer:
x(x-8)(x+8)
Step-by-step explanation:
it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64
help please this due very soon thank you!!!!
Answer:
d
Step-by-step explanation:
just look at where both boxes are placed
Answer:
Choice B
Step-by-step explanation:
It shows that in 5 mins they can package 125 boxes, and if there was 1000 mins they would package a x number of boxes.
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes. How often do they blink at the same time?A.Every 14 minutesb.Every 24 minutesc.Every 48 minutesd.Every 2 minutes
Answer:
b. Every 24 minutes
Step-by-step explanation:
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.
The first step is to:
Find and list multiples of each time each neon sign blinks.
This means, we find the Multiples of 6 and 8
Multiples of 6:
6, 12, 18, 24, 30, 36
Multiples of 8:
8, 16, 24, 32, 40
The first and common multiple of 6 and 8.
Therefore, the Least common multiple [LCM(6, 8) ] = 24
Hence, they often blink at the same time every 24 minutes.
Therefore, option b.Every 24 minutes is correct.
Answer: 1 , 3 , 4 , 5
Question: Which of the following sentences are written in dialect? Check the four boxes that apply.
“It was the most thrillingist one that ever was; and so he went on a-bragging.”
“I stood by the duke at the door.”
“He will be deeply obleeged if they will mention it to their friends.”
“We are sold – mighty badly sold.”
“What they wanted was low comedy.”
“These Arkansaw lunkheads couldn’t come up.”
I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.
Answer:
1. “It was the most thrillingist one that ever was; and so he went on a-bragging
3 “He will be deeply obleeged if they will mention it to their friends.”
4.“We are sold – mighty badly sold.”
6. “These Arkansaw lunkheads couldn’t come up.”
Step-by-step explanation:
Edge-2021
The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 . The store has 90 BMX bikes . How many mountain bikes does the store have ?
Answer: 60
Step-by-step explanation:
From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .
To calculate the number of mountain bikes that the store has goes thus:
= 2/3 × 90
= 2 × 30
= 60 mountain bikes
can someone help me please? the last point of the first graph ends on 6
Answer:
a) Yes
b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.
Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:
c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.
d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.
e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.
f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.
e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.
f2) x-intercept of original function: -6
g) y-intercept of the inverse function: -6
h) x-intercept of the inverse function: 4
i) y-intercept of the original function: 4
j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?
Answer:
12
i think this correct answer
what is 358.21 rounded to the nearest hundreth?
Answer:
358.2
Step-by-step explanation:
thats the answer because .21=.2
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answer:
Step-by-step explanation:
a
Answer:
your answer is A 64
Step-by-step explanation:
there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64
The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points
Answer:
Step-by-step explanation:
Remark
Usually the statements are written from your broker's and his accountant's point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.
Debit Credit Balance
0 0
1423 1423
1423 2846
10 2836
813 2023
1223 800
None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.
The cards in Kaylens' hand had a value of 2.75, but then he added five (-1.5)
cards to his hand. What is the new value of the cards in his hand?
Answer:
1.25
Step-by-step explanation:
adding a positive to a negative it would go down to 1.25
Write 321.35 in scientific form.
Answer:
3.2135 x 10^2 if you're looking for scientific notation
Step-by-step explanation:
How to do this question plz answer
Answer:
θ= 39.7° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
Evaluate: f(2) if f(x) = 4 - 2x
f(2) = 0
f(2)= 2
f(2)= 4
f(2) = 8
Answer:
f(2) = 0
Step-by-step explanation:
Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x
f(2) = 4 - 2(2) = 4 - 4 = 0
Answer:
f(2) = 0
Step-by-step explanation:
Put 2 in the place of x,
f(2) = 4 - 2(2)
f(2) = 4 - 4
f(2) = 0
This is due in 30 mins pls help me
Answer:
Yes, it is still a line
Step-by-step explanation:
The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line
la expresión que se muestra abajo re presenta la utilidad en la producción de una nueva libreta profesional ,¿para que el valor positivo "X" la utilidad resulta igual a cero?
a)10
b)10/9
c)770/9
d)670/9
ayúdenme porfavor
Answer: a) 10
Step-by-step explanation:
Buscando en google, encuentro que la expresión es:
C(x) = 9*x^2 - 80*x - 100
Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:
9*x^2 - 80*x - 100 = 0.
Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:
a*x^2 + b*x + c = 0
Las soluciones son:
[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]
en este caso, tenemos:
a = 9
b = -80
c = -100
Entoces, las soluciones van a ser:
[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]
Entonces las dos soluciones son:
x = (80 - 100)/18 = -20/18 = -10/9
Esta solución la descartamos, pues es negativa. La otra solución es:
x = (80 + 100)/18 = 180/18 = 10
La opción correcta es a: 10
1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group?
Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : [tex]x+y=12[/tex] ...(i)
Total cost : [tex]3x+7y=64[/tex] ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
[tex]3x+7y-7(x+y)=64-7(12)[/tex]
[tex]3x+7y-7x-7y=64-84[/tex]
[tex]-4x=-20[/tex]
Divide both sides by -4.
[tex]x=5[/tex]
Therefore, the number of children is 5.
shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.
Answer:
462 fast cars please mark brainliest
Step-by-step explanation:
A bag of candy contained the flavors strawberry, orange, cherry, and lemon. Zelda drew each
piece of candy out of the bag and recorded the frequency of each.
Which candy's experimental probability is closest to its theoretical probability?
Answer: Strawberry
Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.
Two neighbors in a rural area want to know the distance between their homes in miles. What should the neighbors use as a conversion factor to convert this distance to miles ?
Answer:
1 foot = 0.000189394 miles
Step-by-step explanation:
The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.
Since,
1 foot = 0.000189394 miles
Let us assume that the distance between the two houses is 500 feet, then;
1 foot = 0.000189394 miles
500 feet = x miles
x = 500 x 0.000189394
= 0.094697
So that for the considered example, the distance is approximately 0.095 miles.
Thus, the required conversion factor is;
1 foot = 0.000189394 miles
If Jack wants to retire with $1,000 per month, how much principal is necessary to generate this amount of monthly income if the interest rate is 6% compounded monthly?
Answer:
He needs to learn the disciplinary principal
Step-by-step explanation:
The principal is necessary to generate this amount of monthly income is $497.
Given that, Jack wants to retire with $1,000 per month.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]
⇒ 1000 =P[tex](1+0.06)^{12}[/tex]
⇒ 1000=P×2.012
⇒ P=1000/2.012
⇒ P=$497
Hence, the principal is necessary to generate this amount of monthly income is $497.
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what fraction is not equivalent to 9/12 A. 16/24 B. 15/20 C. 6/8 D. 24/32
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
The simplified answer is 3/4. A simplifies to 2/3. B simplifies to 3/4. C simplifies to 3/4. D simplifies to 3/4. To get my answer I divided all of the fractions and saw which ones equalled .75 .
Five flowering plants are to be planted between two trees which are 12m apart. If the first tree is 2m away from the house, how far from the house is each of the plants?
Answer:
2m, 14m, 26m, 38m, 50m
Step-by-step explanation:
In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...
1st Tree: 2m
2nd Tree: 2m + 12m = 14m
3rd Tree: 14m + 12m = 26m
4rth Tree: 26m + 12m = 38m
5th Tree: 38m + 12m = 50m
Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m
What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how to get +1.09
get marked the brainliest
mu = 1100 = population mean
sigma = 275 = population standard deviation
x = 1400 = raw score
z = z score
z = (x-mu)/sigma
z = (1400-1100)/(275)
z = 300/275
z = 1.0909090909091 approximately
z = 1.09
Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).
The positive z score is due to Paula's raw score being above the mean.
If ABCD is an isosceles trapezoid, what is the value of x?
AC = 5x - 25
BD = 3x + 11
Answer:
X=18
Step-by-step explanation:
Isosceles means two sides are equal. In this case AC and BD are the same. So put both equations equal to each other and solve
Answer:
the answer will be 18 it is correct answer
Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years?
Answer:
$5,460
Step-by-step explanation:
Given that :
Loan taken = principal (p) = $10,000
Simple Interest rate (r) = 9.1% = 0.091
Interest owed at the end of 6 years = t
Simple interest = (principal * rate * time)
Interest owed = 10,000 * 0.091 * 6
Interest owed = 910 * 6
Interest owed = $5,460