use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots. must be right ty helppp asap
Answer:
[tex]k>-3[/tex]
Step-by-step explanation:
We have the equation:
[tex]-3x^2-6x+k=0[/tex]
Where a = -3, b = -6, and c = k.
And we want to determine values of k such that the equation will have real, unequal roots.
In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:
[tex]b^2-4ac>0[/tex]
Substitute:
[tex](-6)^2-4(-3)(k)>0[/tex]
Simplify:
[tex]36+12k>0[/tex]
Solve for k:
[tex]12k > -36[/tex]
[tex]k>-3[/tex]
So, for all k greater than -3, our quadratic equation will have two real, unequal roots.
Notes:
If k is equal to -3, then we have two equal roots.
And if k is less than -3, then we have two complex roots.
25 coins for someone who can answer these for me fast i need the help because i have work for other classes.
Answer:
1. 5%
2. 37.5% decrease
Identify segment bisector of ab then find ab
Answer:
h
Step-by-step explanation:
hmkjkljlj
In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?
Answer:
$0.37
Step-by-step explanation:
This can be solved by solving a system of linear equations that is shown above.
This is circle theorems I am not rly good at this
Answer:
m∠BCD = 24°
Step-by-step explanation:
By the theorem,
"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."
m(∠BOD) = 2(m∠BFD)
= 2(78°)
= 156°
Therefore, m(arc BD) = m∠BOD = 156°
Since, m(arc BD) + m(arc BFD) = 360°
156° + m(arc BFD) = 360°
m(arc BFD) = 360 - 156
= 204°
Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".
m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]
= [tex]\frac{1}{2}[204 - 156][/tex]
= 24°
Can you fill in the chart?
Which statement about these triangles is true?
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answer:
B
Step-by-step explanation:
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
Luke and Liam wash their clothes on a schedule. Luke
washes his clothes every 7 days and Liam washes his
clothes every 9 days. How long will it be before they
both wash their clothes on the same day
Answer:
2......... ..... ..m.......... ..
PLEASE HELP FOR NUMBERS 5 AND 6!! Thank you!
Answer:
Step-by-step explanation:
5. y=40x
6. y=2.2x
Plz Plz plzzzzzz answer
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
Which table does NOT represent a linear function?
Answer:
table 4 does NOT represent a linear functionStep-by-step explanation:
HOPE IT HELPS ❤❤❤❤❤Answer:
it's the one with 15,18,20,21
Step-by-step explanation:
Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
I really need help with this question thanks
Answer:
The answer is A
Step-by-step example:
I just took the test and got it right hope this helps you!!!
Determine the number of zeros of the polynomial function f(x)= x^8-x^9
Step-by-step explanation:
Determine if odd, even, or neither.
The function is neither even nor odd
Answer:
9
Step-by-step explanation:
The highest power of x is 9: x^9
and therefore this polynomial will have 9 zeros.
Scott will run at least 25 miles this week. so far he has run 16 miles . what are possible numbers of additional miles he will run?
use t for the additional miles he will run.
write your answer as an inequality solved for t.
Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be
Answer:
24 miles UwU
Step-by-step explanation: G'day mate!
PLEASE ANSWER QUICKLY!
Answer:
x = -9 Its B
Step-by-step explanation:
Because it can go both ways either + or -
Answer:
d
Step-by-step explanation:
b/c |-9|+10=19 |9|+10=19 |0|+10=10
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
Answer:
Andre and 6 weeks
Step-by-step explanation:
because,20x4+10=90 and 5x4+100=
Which shows the distributive property?
A 5x + 2 = 2 + 5x
B 5(x + 2) = 5x + 10
C 5(x + 2) = 5(2 + x)
D 5x + 2 = 2 - 5x
Answer:
pretty sure it would be C
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The Correct choice is :
B) 5(x + 2) = 5x + 10Put your answers in the green
boxes.
Answer:
1. 2m^2-2n^2
Step-by-step explanation:
1. (m-n)(m^2+mn+n^2)
m^2=m
n^2=n
=(m-n)(m+mn+n)=(m-n)(2m2n)
Multiple
=2m^2-2n^2
Riley can dribble a basketball 50 times and 1/2 minute with her right hand and 30 times and 1/2 minute with her left hand what is the ratio of her right hand or left hand dribbling rate
Answer:
right 50:30 left
divide both sides by a common factor. (I've used 10 hcf)
right 5:3 left
What is the slope of the line through
(-8, 10) and (6, 10)?
Answer:
the slope is 0
Step-by-step explanation:
m=0
Answer:
0
Step-by-step explanation:
y2 - y1/ x2 - x1
10 - 10 = 0
6 - (-8) = 14
0/14 = 0
HELP PLEASEEEEEEEEEE
Answer: 1/125
Step-by-step explanation:
first, i multiplied it.
1/5^3
then, it's easy to evaluate from there.
1/125
I need help, my teacher didnt teach up this
Answer:
The volume is 1539.38
Step-by-step explanation:
Answer:
384.7 cubic inches
Step-by-step explanation:
formula to find Volume of a Cylinder:
V = π · r² · h
7 is the diameter, so r = 3.5
V = π (3.5)² · 10
V = π (12.25)(10)
V = π · 122.5
V ≈ 384.7 in³
Someone plz help me plz
Answer:
3(24+56)
Step-by-step explanation:
3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3
3(24+56)
Answer:
3(24 +56)
Step-by-step explanation:
sum of 24 and 56 means addition
3 times the sum means multiplication
the format you'd use in math would be 3(24 +56)
PLEASE HELP ILL GIVE U BRAINLIEST 5 STARS AND A THANK YOUUUU
Answer:
i think it’s 3 because 25 x 12 = 3 for percentages
Step-by-step explanation:
i
Answer:
4%
Step-by-step explanation:
There are 25 squares, so out of 100, each shaded square would be 4/100, and then 4/100 is 4%
Help 39 point pic below Math
Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)