Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
How to prove the expressionTo have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;
Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.
In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
should be 40
1.6[3(5(2))-5]
1.6[30-5]
1.6[25]
40
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)
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Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The quantity is found by multiplying the rate by the time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The least-precise contributor to the calculation has 2 significant digits, so we need to round the result to 2 significant digits.
__
B) A fine human hair is more than 40×10^-3 mm in diameter, so the distance 1.435×10^-3 mm is completely unreasonable for railroad track spacing. The space between rails is closer to 1.4 meters. So 1.435×10^3 mm is a better measurement.
(I'LL GIVE BRAINLIEST) Carson wanted to buy a cowboy hat that cost $49.95 (with tax) at a souvenir shop. He knew he had $18 at home already, and he could earn $10 per lawn by mowing lawns for his neighbors. He came up with the following expression to figure out how many lawns he would need to mow in order to purchase the hat: M = 10w + 18 with "w" being the number of lawns he would need to mow and "M" being the total amount of money he has.
Carson then determined he would need to mow 3 lawns by completing the follow steps:
50 = 10w + 18
32 = 10w
3.2 = w
Identify Carson's error. Explain the steps to correctly solve for how many lawns Carson needs to mow. Be sure to clearly state the correct answer.
Answer:
so Carson's problem was at the end, since the neighbors are paying 10$ PER DAY, and 3 days work would only earn him 30$ meaning at the end he would be a dollar short, technically, he needs to work exactly 3.2 days, or...
let's say he works 4 hrs a day
1 Day = 4Hr
3.2 Days = X
X = 3.2 × 4
= 12.8 Hrs
so Carson needs to work 3 days and an extra 48 Minutes
giải hộ toi bài tập nó khá khó
Answer:
hhhhhhhhhhhhhhhhhhhh
) Chứng minh rằng giá trị của biểu thức ((x-2√x)÷(√x-2) ) - ((x-4)÷√x+2)) không phụ thuộc vào giá trị của biến.
...........chúc bạn thành công ✊
Select the reason that best supports statement 5 in the given proof.
A.Substitution
B. Multiplication
C. Addition property of equality
D.Transitive property
The reason that best supports statement 5 in the given proof is Substitution.
What is Number system?A number system is defined as a system of writing to express numbers.
In the given question -
The first reason is given in the question itself.
The second reason is given by congruency.
The third reason is again given in the question.
The fourth reason is also given.
Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
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Help solve
−3'3(2 − 4 + 5)
2( − 3 + 4) − 3(2 − + 7)
Answer:177
Step-by-step explanation: -3'3(2+1) 2(1)-3(-5)
=-27(3) ×-2 +15
=-81×(-2)+15
=162+15
=177
kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?
Answer:480.10
Step-by-step explanation:
Answer:
$471.9
Step-by-step explanation:
Take "30 hours and 15 minutes" into a number you can multiply. 15 minutes is a quarter of an hour, so our number is 30.25
Do 30.25 x 15.60 to get 471.9
Add a dollar sign, and there's your answer of $471.9!
Hope this helped.
Math Question for An assignment
Answer: y = 5/2x + 4
Step-by-step explanation:
y = 5/2x + c
1) Substitute
-6 = 5/2(-4) + c
-6 = -10 + c
-6 + 10 = c
4 = c
y = 5/2x + 4 or
y = 2.5x + 4
Pls need help, will give brianlist
Answer:
1) Your slope should be 1/5
2) Your slope should be [tex]\frac{-3}{2}[/tex]
3) Your slope should be 1/2
I hope this helps! : )
What is the alibraic equation to 32 ÷ 1.60
i need help asap if u will i will give 100 points to do asap
Answer:
The answer is 20
Answer:
19⋅2(3 third power)/5 =30 5/2 =30.4
Step-by-step explanation:
Are 3and 9 divisible by 27,621
Answer:
yes
Step-by-step explanation:
Suppose you have a 100 AED of coupons at Dubai Expo 2020. You spend 30 AED per game. Write an equation that models the total amount of money y you spent if you play x games.
The total amount of money y you spent if you play x games is expressed as y = 1/30x
Given the following
Total amount of AED of coupons at Dubai Expo 2020 = 100 AED
If you spend 30 AED per game, this can be expressed as:
30 AED = 1 game
100 AED = x game
Cross multiply
30 x = 100 * 1
30x = 100
x = 100/30
x = 10/3 games
This shows that 100 AED of coupons is used for 10/3 games
100 AED = 10/3 games
y AED = x games
Cross multiply
100 x = 10/3 y
100xy = 10/3
10 xy = 1/3
30xy = 1
y = 1/30x
Hence the total amount of money y you spent if you play x games is expressed as y = 1/30x
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The cost of a meal is split evenly between Alania and her two friends. They determine that each person owes $14.68. How much was the entire cost of the meal?
Answer:
$44.04
Step-by-step explanation:
let 3 be the number of people and 14.68 the person owes
3*14.68 = 44.04
I NEED BIG TIME HELP PLEASE ANYONE
Answer:
Its B
Step-by-step explanation:
Answer:
the answer would be B I took the quiz
Step-by-step explanation:
I took the quiz
The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
I need the answer for this
Answer:
it is either f or h
what is the first digit in the quotient of 1,898 divided by 9
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Answer:
0
Step-by-step explanation:
The first digit of the quotient is 0. This is because the first digit of the dividend (1) is less than the divisor (9).
See the attached image for the complete long division.
__
The first non-zero quotient digit is 2 = 18/9.
PLZ HELP IM TIMEDDDDDDDDDDDDD Which values of a, b, and c correctly complete the division?
1/4 divided by 5/6=1/a x b/c
Answer is:
a=4, b=6 c=5
Set-up an equation to model the problem, then solve that equation:
You bought a magazine for $5 and four erasers. you spent a total of $25. How much did the eraser cost?
Answer:
$5 + 4x = 25
Step-by-step explanation:
let x = eraser
4 × x = 4x
$5 + 4x = $25
La longitud "L" de una recta tangente dibujada desde un punto "A" a una circunferencia es 4/3 del radio "r". La distancia (mínima) de A a la circunferencia es de:
r
r/2
2r/3
4r / 3
Answer:
i......dont........know.... :)
Step-by-step explanation:
yup
How would I be able to simplify 12/3? Please explain step by step
Answer:
4/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.
12 ÷ 33 ÷ 3.
Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.
Answer:
i think you divide 12/3 and you get the answer of 4
Step-by-step explanation:
Đề bài sau dùng cho 3 câu từ câu 1 đến 3
Doanh thu (triệu đồng) 830 900 950 1.020 1.200
Số cửa hàng 15 25 30 20 10
1. Doanh thu bình quân của các cửa hàng là:
a. 980,0 b. 958,5 c. 950,0 d. 980,6
2. Trung vị về doanh thu là:
a. 900 b. 950 c. 958 d. 925
3. Mốt về doanh thu là:
a. 900 b. 950 c. 1.020 d.
Answer:
Step-by-step explanation:
please please help with question 18
The Correct choice is :
[tex]y = \dfrac{3}{5} x + 2[/tex]Explanation :As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :
[tex] \dfrac{3}{5} [/tex]now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :
[tex]y - y1 = m(x - x1)[/tex][tex](y - ( - 1)) = \dfrac{3}{5} (x - ( - 5))[/tex][tex]y + 1 = \dfrac{3}{5} (x + 5)[/tex][tex]5(y + 1) = 3(x + 5)[/tex][tex]5y + 5 = 3x + 15[/tex][tex]5y = 3x + 15 - 5[/tex][tex]5y = 3x + 10[/tex][tex]y = \dfrac{3x + 10}{5} [/tex][tex]y = \dfrac{3}{5} x + 2[/tex]therefore , the correct choice is A
Pls help I’ll brainlest
The cat is not hungry, or doesn't like the can of tuna food, which is why they refused to eat it when it was given to them.
Try to give the cat the food again and see their reaction, if that fails, try to give the cat other foods and note the reaction to determine if the cat just doesn't like the tuna in a can or just wasn't hungry at the moment.
The video advises you to "be a deadbeat". What does that mean?
Pay your credit card bill in full and on time every single month, thus paying no interest or fees.
Make the minimum payment on your credit card on time each month.
Never open a line of credit so the credit card companies do not make any money.
Answer:
Pay your credit card bill in full and on time every single month, thus paying no interest or fees.
Step-by-step explanation:
In terms of credit-cards, a deadbeat is someone who pays off their bill in full every month, on time. They usually try to avoid paying their debts.
Hence, pay your credit card bill in full and on time every single month, thus paying no interest or fees.
What is the payment?Payment is the exchange of cash, products, or services for a good or service.
Payments are normally made once all parties have concurred on the conditions.
You won't be charged interest or late fees if you pay off your credit card balance in whole and on time each month.
When it comes to credit cards, a deadbeat is someone who consistently pays their balance in full and on time each month.
Deadbeat - one who often avoids paying their own bills or expenditures
Typically, they make an effort to not pay their bills.
Hence, whenever possible, pay off your credit card balance in whole and on schedule to avoid paying interest or other costs.
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Translate the sentence into an equation.
Five less than the product of 6 and a number is equal to 8.
Use the variable y for the unknown number,
Answer:
(6 times n) - 5 = 8
Step-by-step explanation:
First we need to multiply 6 by a number and then subtract 5 from the total which will then equal to 8
Help me this please, i love u
Answer:
Pics block
Step-by-step explanation:
STEP By Step Explaination needed
NO sp.am
No Go.ogle
Solve it
[tex]\frac{5}{11} + \frac{3}{11} [/tex]
Answer:
8/11
Step-by-step explanation:
5+3=8
Answer:
[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]
Step-by-step explanation:
[tex]\sf\huge\longmapsto \: \: \frac{5}{11} + \frac{3}{11} [/tex]
[tex]\sf\huge\longmapsto \: \frac{5 + 3}{11} [/tex]
[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]
A
E
40 - 200
Z
2
What is 1/2•40•200?
Answer:
4000
Step-by-step explanation:
1/2 · 40 · 200 = 20 · 20020 · 200 = 40004000Therefore, the answer is 4000.