Answer:
1 think 89
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is D.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
A.) x²−4x+1=0
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(1)}}{2(1)}\\\\x = \dfrac{4 \pm \sqrt{16 - 4}}{2}\\\\x = \dfrac{4 \pm \sqrt{12}}{2}[/tex]
x = 2 ± √3
B.) x²−18=0
x² = 18
x = √18
C.) x²+6x+7=0
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(6) \pm \sqrt{(6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{-6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{-6 \pm \sqrt{8}}{2}[/tex]
x = -3 ± √2
D.) x²−6x+7=0
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{6 \pm \sqrt{8}}{2}[/tex]
x = 3 ± √2
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Write the expression below as a product of two factors.
6 + 8 + 4
Answer: Factor out the GCF of 6, 8, and 4: 2
2(3m + 4n + 2)
if a person is randomly selected from the US population, the odds the person lives in California are 1 to 8.
What is the probability of two decimal places of a randomly chosen person being from California?
What are the odds of a randomly chosen person not being from California?
Answer:
The probability of a randomly chosen person being from California is 0.111.
The probability of a randomly chosen person not being from California is 0.889.
Step-by-step explanation:
The odds of a person, selected from the US population, living in California is 1 to 8.
That is:
[tex]\text{Odds}(\frac{\text{Lives in California}}{\text{Does not Lives in California}})=\frac{1}{8}[/tex]
Compute the probability of a randomly chosen person being from California as follows:
[tex]P(\text{Lives in California})=\frac{\text{Odds}(\text{Lives in California})}{\text{Odds}(\text{Lives in California})+\text{Odds}(\text{Does not Lives in California})}[/tex]
[tex]=\frac{1}{1+8}\\\\=\frac{1}{9}\\\\=0.111[/tex]
The probability of a randomly chosen person being from California is 0.111.
Compute the probability of a randomly chosen person not being from California as follows:
[tex]P(\text{Love in California})=1-P(\text{Does not Love in California})[/tex]
[tex]=1-0.111\\\\=0.889[/tex]
Thus, the probability of a randomly chosen person not being from California is 0.889.
What is common monomial factor of 10x2+10?
Answer:
10
Step-by-step explanation:
10x2+10
=10（2x+1)
1. Which relationship describes 2:5
a. The ratio of desks to chairs if there are 5 chairs and 2 desk
b. The ratio of boys to girls if there are 2 girls and 5 boys
c. The ratio of girls to boys if there are 2 girls and 5 boys
d. The ratio of chairs to desk if there are 5 chairs and 2 desk
Answer:
c
Step-by-step explanation:
it is c because it said girls to boys, then explained girls to boys, while b was out of order. a and d said 5 first, contrary to the original question
Answer:
C because all the other options are from boys to girls or 5 to 2 and were looking for girls to boys or 2 to 5.
Step-by-step explanation:
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation y=-0.5x+26 models the amount of shoreline,y,in feet,x decades after 1950.What state is true based on the model?
Answer:
Try A
Step-by-step explanation:
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation is given below.
y = -0.5 x + 26
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
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A restaurant offerd cooking classes on 24 of the 30 days in november. what Decimal is equivalent to the fraction of days in november that classes were offered at the restaurant
Answer: .8
How?
24 : 30 = 4/5
4/5 = .8
If the present value of my investment is 2,500 and the rate of interest is 2% p.a compounded semi-annually,what will be the value be after 15years
Answer:
3,364$
Step-by-step explanation:
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
When looking at a graph of a system of equations,
where can I find the solution(s) to the system?
Answer:
to solve a system of linear equations graphically we graph both equations in the same coordinate system, the solution to the system will be in the point where the 2 lines intersect.
Find the cosine of R.
Write your answer in simplified, rationalized form. Do not round.
cos(R) =
Answer:
[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]
Step-by-step explanation:
To find the cosine of <R, apply the following trigonometric ratio formula:
[tex] cos(R) = \frac{adjacent}{hypotenuse} [/tex]
Adjacent = 3
Hypotenuse = √15
Plug in the values into the formula
[tex] cos(R) = \frac{3}{\sqrt{15}} [/tex]
Multiply the numerator and denominator by √15 to rationalize.
[tex] cos(R) = \frac{3 \times \sqrt{15}}{\sqrt{15} \times \sqrt{15}} [/tex]
[tex] cos(R) = \frac{3\sqrt{15}}{(\sqrt{15})^2} [/tex]
[tex] cos(R) = \frac{3\sqrt{15}}{15} [/tex]
[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]
A six-digit password is picked from the numerals 0 - 9. How many different passwords are possible if no number is repeated?
Answer:The answer is 600.
Step-by-step explanation:
I want to know this question
4x/5-5/2x^8 এর বিস্তৃতিতে শেষের তৃতীয় পদ নির্ণয়
Answer:
Fr dude-
Step-by-step explanation:
What does that even say Imaaoo
Welp if you wanted me to write that in standard form then here ya go:
2 Dylan is part of a volunteer crew constructing houses for low-income families. Dylan is experienced at installing tile floors. He is training a new volunteer, George, to complete tiling projects. A new job involves placing 100 tiles. Dylan knows from experience that it would take him 2 hours to complete the job if he were working alone. Dylan estimates that it would take George 4 hours to complete the job if George were working alone. If Dylan and George work together, how long will it take to complete the job?
Answer:
For the tiling Job; it takes the following for installing 100 tiles:
Dylan =2 hours
George = 4 hours
if they work together for the job, for 1 hour,
it would be the following no of tiles to be fixed:
Dylan + George = total tiles
100/2 + 100/4 = 50 + 25 = 75 tiles
If it takes George 1hr to fix 50 tiles,
For 30 minutes, Dylan will fix 25 tiles
Therefore Total tiles fixed = Dylan(1hr work) + George(1hr work) + Dylan (30mins work)
= 50 tiles + 25 tiles + 25 tiles = 100 tiles
Therefore, it will take approximately 1 hour for them to install 75 tiles in the low-income house for the families or
1.30 hours (1 hr, 30 minutes) to fix 100 tiles for the same low income families.
Step-by-step explanation:
please help calculus question urgent
Answer:
C
Step-by-step explanation:
We are given that:
[tex]\displaystyle k(x)=\frac{f(x)}{g(x)}[/tex]
And we want to find k'(3).
So, let's find k'(x). Take the derivative of both sides. This will require the Quotient Rule. Hence:
[tex]\displaystyle k^\prime(x)=\frac{f^\prime(x)g(x)-f(x)g^\prime(x)}{(g(x))^2}[/tex]
We want to find k’(3). Substitute:
[tex]\displaystyle k^\prime(3)=\frac{f^\prime(3)g(3)-f(3)g^\prime(3)}{(g(3))^2}[/tex]
Using the table, make the appropriate substitutions:
[tex]\displaystyle k^\prime(3)=\frac{5(2)-(-1)(-2)}{(2)^2}[/tex]
Evaluate:
[tex]\displaystyle k^\prime(3)=\frac{10-2}{4}=\frac{8}{4}=2[/tex]
Therefore, our answer is C.
If Misty has been traveling for 9 hours, how many miles of the trip does she have remaining?
Answer:
Distance remaining (out of total 81 miles) after travelling 9 hours at speed 3 miles per hour = 54 miles
Step-by-step explanation:
Lets suppose -
Time = 9 hours
Total Distance = 81 miles
Speed = 3 miles per hour
Distance = Speed x TimeDistance covered in 9 hours = 3 x 9 = 27 miles
Distance remaining = Total distance - distance covered= 81 - 27 = 54 miles
write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
Answer:
y = 2x + 5
Step-by-step explanation:
y - 3 = 2( x + 1 )
y = 2x + 5
is 3 x 5/6:
A: 15/6
B:15/18
????
Answer:
3 x 5/6 is 2.5, so 15/6
Step-by-step explanation:
3/1 x 5/6
Answer:
A, 15/6
Step-by-step explanation:
Which car has the best gas miles Car A 150 miles on 12 gallons or Car B 80 miles on 6.5 gallons
Answer:
kdtgufkgcvkmj
Step-by-step explanation:
Answer:
Car A
Step-by-step explanation:
We need to find the miles per gallon for both cars
So we divide the miles by the gallon
Car A: 150 ÷ 12 = 12.5 mpg
Car B: 80 ÷ 6.5 = ~12.3 mpg
The answer is Car A
62x(70+8) in word form
Answer: sixty-two x times in parentheses seventy plus eight
Plz help me with this
Solve the system:
5x+2y = 3
2x + 3y = -1
Answer:
x= 1 y= -1
Step-by-step explanation:
Pick an equation to isloate x or y
5x+2y=3 becomes x=-2y+3/5
Subsitute that into second equation : 2(-2y+3y/5) + 3y=-1
Example and simplify.
Do the same to find x variable
Need help with this.
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Let t as y² + 5y .
[tex] {y}^{2} + 5y = t[/tex]
Rewrite the equation :
[tex]t - \frac{36}{t} = 0 \\ [/tex]
Multiply sides by t
[tex]t \times (t - \frac{36}{t} ) = t \times 0 \\ [/tex]
[tex] {t}^{2} - 36 = 0[/tex]
Add sides 36
[tex] {t}^{2} - 36 + 36 = 0 + 36[/tex]
[tex] {t}^{2} = 36[/tex]
[tex]t = ± \: 6[/tex]
_________________________________
So :
[tex] {y}^{2} + 5y = 6[/tex]
Subtract sides 6
[tex] {y}^{2} + 5y - 6 = 6 - 6[/tex]
[tex] {y}^{2} + 5y - 6 = 0[/tex]
[tex](y + 6)(y - 1) = 0[/tex]
[tex]y = - 6 \: \: or \: \: y = 1[/tex]
##############################
[tex] {y}^{2} +5y = - 6[/tex]
[tex]No \: \: solution[/tex]
_________________________________
Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .
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Find the slope between (8, 3) and (-5, 3)
Answer:
slope=0 (horizontal line)
Step-by-step explanation:
A way to remember this is if you went skiing on a horizontal line you would have 0 fun.
60 POINTS PLEASE HURRY!!
Rashid solved a fraction division problem using the rule “multiply by the reciprocal.” His work is shown below.
3/4 divided by 9
3/4 x 1/9 = 3/36 or1/2
Which is the most accurate description of Rashid’s work?
A. Rashid solved the problem correctly.
B. Rashid multiplied the dividend by the divisor instead of finding the reciprocal.
C. Rashid multiplied the denominators instead of finding a common denominator.
D. Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Answer:
D is the awnser because he flipped the wrong fraction
Find the product. Simplify before multiplying.
1/15 x 5/8
Answer:
0.04166
Step-by-step explanation:
As you cant simplify further, the answer would be 0.04166. 1/15 x 5/8
Answer:
simplyfy : 1/24
Multiply: 1/24
Step-by-step explanation:
decimal: 0.0416...
:)
Given the equation 3x + 4y = 10, select a second equation that would create a system with no solutions.
3x + 4y = -10
3x - 4y = 10
3x + 4y = 10
3.x - 4y = -10
Answer:
3x + 4y = -10
Step-by-step explanation:
Here, we want to select which of the options will give a system of two equations coupled with the first such that we have no solutions
Since we already have 3x + 4y = 10
The equation that will give a system leading to no solutions will be a system that equates the exact sum of 3x + 4y to another value
Mathematically, that will be;
3x + 4y = -10
I NEED HELP ASAP!!!
Use the tape diagram to find the ratio.
Mr. Morris' art class used blue paint and purple paint for a school mural. Find the ratio of blue paint to the total. Write the ratio using a colon and no spaces.
Answer:
5:11
Step-by-step explanation:
Answer:
5/11
Step-by-step explanation:
Need HELP RUNNING OUT OF TIMe :)
Find the number.
the sum of the reversed number and the original number is 154. Find the original number, if the ones digit in it is 2 less than the tens digit.
Answer:
86
Step-by-step explanation:
Let the number be 10x + y. So, the reversed number is 10y + x.
The sum is 154.
So, (10x + y) + (10y + x) = 154
⇒ 11x + 11y = 154
⇒ x + y = 14 ..... (1)
Again, given that ones digit in the original number is 2 less than the tens digit.
So, y = x - 2 ...... (2)
Now, solving (1) and (2) we get,
x + x -2 = 14
⇒ 2x = 16
⇒ x = 8
So, from equation (2), y = x - 2 = 8 - 2 = 6
Therefore, the original number is 10x + y = 10 × 8 + 6 = 86 (Answer)
Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient z/w on the complex plane?
Answer:
A. z is scaled by a factor of One-fifth and rotated 90 degrees clockwise.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
z is scaled by a factor of One-fifth and rotated 90 degrees clockwise