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.
SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT
Answer:
28cm
Step-by-step explanation:
7x4
or
7+7+7+7
A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of grass is 6 feet. How many square feet of water will the sprinkler spray?
Answer:
[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]
Step-by-step explanation:
The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.
Plugging in our values, we get:
[tex]3^2\pi=9\pi\approx28.27[/tex].
PLS HELP ASAP, I'll give BRAINLIEST
Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).
Answer:
the answer is approximately 8.2 units.
Directions: Solve for x, then find each angle measure.
2x+3y=6 and 2x+y=-2 solved by elimination
Find the reflection of the following point over the y-axis: (7, -3)
Answer:
(-7,-3)
Step-by-step explanation:
You keep the -3 since that is the y but the x will become negative because you are reflecting to the left and not the right, making the x then negative.
Answer: (-7,-3)
Step-by-step explanation:
The point (7,-3) is located in the fourth quadrant mean that if you reflect the point across the y a-xis, it should end up in the third quadrant.
If you flip a point over the y axis, the x coordinate switches.
(7,-3) ⇒ (-7,-3)
Mary Jane scored 85% on her last test. There were 60 questions on the test. How many questions did she get correct? Show your work
PLEASE HELP ME
Answer: Mary Jane got 51 questions correct.
Step-by-step explanation: x/60 and 85/100. Multiply 60 and 85. When you get your answer, divide it by 100. It should give you the answer.
2y - 10x = -8-
can someone help me and get Y by it self
Answer:
y=-4+5x
Step-by-step explanation:
To get y by itself you need to move the -10x to the other side, to do that you need to add 10x on both sides
2y-10x+10x=-8+10x
Simplify and you will get 2y=-8+10x
Now divide everything by 2
2y/2=-8/2+10x/2
Simplify and you will get y=-4+5x
solve 3 square root of (x minus 4) plus 7 equals negative 14. please show your work. this is due sunday.
Step-by-step explanation:
3√(x - 4) + 7 = -14
3√(x - 4) = -21 (subtract 7 from both sides)
√(x - 4) = -7 (divide 3 on both sides)
However √y is non-negative for all values of y in the domain of √y.
Hence there is no real solution for x.
Does anyone know how to work this out
Answer:
1/19
Step-by-step explanation:
y = number of yellow cubes
3y = number of blue cubes
5(3y) = number of green cubes
total number of cubes = 19
P(yellow) = 1/19
Can u plz plz help me
Answer:
Raquel collected 30 marbles
Step-by-step explanation:
If there are 80 marbles, and Raquel has collected 3/8 of them, he has collected 30
There are 12 varieties of birds in a zoo, the number of each variety being
double of the number of another variety. If the number in the first
variety is 3, find the number in the last variety and also total number of
all varieties of birds in the zoo.maths gp
Answer:
below
Step-by-step explanation:
Geometric series with first term 3 and common ratio r.
Last variety = 3 * 2^(12-1) = 6144.
Total = 3 * (2^12 - 1) / (2-1)
= 12285
Please help with this question
Answer:
7 pounds
Step-by-step explanation:
From the graph :
The data model:
X:
10
20
30
40
50
Y:
2
3
4
5
6
Using a linear regression calculator :
The equation of best fit for the data is :
y = 0.1x + 1
Weight loss for someone who attended 60 fitness classes :
Using the model:
y = 0.1x + 1
Where x = 60
y = 0.1(60) + 1
y = 6 + 1
y = 7
How can you write an equation to solve a problem
Answer: a nn nn n nn n nn n n n n n n n n n n n n n
Annie works at a library. She worked for a total of 11 hours in the last 5 days and worked an equal amount of time each day. What is the correct way to show how to find the number of hours she worked each day?
each day is 24 hours.
so minus 11 from 24 , 5 times, since theyre 7 days in a week.
I THINK IVE ALREADY LEARNED THIS BUT IM NOT GREAT AT MATH <3
Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made
Answer:
1 1/2
Step-by-step explanation:
set up a proportion:
8 = 12
1 x
cross-multiply: 8x = 12
x = 12/8
x = 3/2 (simplified)
13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS
Answer:
9) 30 years
10) line passing through points AB and BC are perpendicular
Step-by-step explanation:
9) p = 5t + 150
Current pop. (in thousands) is 150
Double pop. (in thousands) is 300
300 = 5t + 150
150 = 5t
t = 30
10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal
slope of AB = 3
slope of BC = -1/3
Trevor has finished 5 of his 12 homework problems, so he is Five-twelfths of the way to being done. Which statement best describes the progress Trevor has made on his homework? Trevor has barely started his homework. Trevor is almost done with his homework. Trevor is just over halfway through his homework. Trevor is just under halfway through his homework.
Answer:
Trevor is just under halfway through his homework
Step-by-step explanation:
The following information is given in the question
Trevor has completed 5 of his 12 homework problems
So here the total number of homework is 12
And, out of them trevor has completed 5
So if we do the half of 12 than it would come 6
This means that trevor just under halfway the homeowrk
Therefore the last option is correct
A regular polygon has it exterior angles all equal to 2°.
Find the number of sides of the polygon.
Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.
Step-by-step explanation:
360/2 = 180
therfore it has 180 sides
What is the solution to −9x−6≥−3(x−4) ?
The answer is
x ≤ -3
A collector has 90 movie posters and 50 band posters. She wants to sell 27 movie posters but still have her poster collection maintain the same ratio of 90:50. If she sells 27 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Answer:
16
Step-by-step explanation:
90/27 = 3
50/3 = 16
Find the value of θ in radius
Step-by-step explanation:
the answer is explained above
Consider I(p) = p(50 - p) , which gives the expected income in dollars from a bungee jump attraction when the ticket price is p dollars. What is I(20)?
Answer:
I(20) is 600 dollars
Step-by-step explanation:
From the given function, I(p) = p(50 - p)
Where I is the income in dollars and p is price dollars.
To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.
From
I(p) = p(50 - p)
When p = 20
Then,
I(20) = 20(50 - 20)
I(20) = 20(30)
I(20) = 20 × 30
I(20) = 600
Hence, I(20) is 600 dollars
That is, the income is 600 dollars when the ticket price is 20 dollars.
Solve 2a−5≤13.
help please
Answer:
a≤9
Step-by-step explanation:
Answer:
a ≤ 9
Step-by-step explanation:
2a-5 ≤ 13
add +5 then divide both sides by 2 to isolate the variable
step 1: 2a-5+5 ≤ 13+5 → 2a ≤ 18
step 2: 2a/2 ≤ 18/2 → a ≤ 9
ill give you brainliest if u get it right
Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
a. 10; 1,440
b. 20; 3,240
c. 18; 2,880
d. 36; 6,120
Answer:
i answered this question so the other guy can get brainliest he deserves it
Step-by-step explanation:
B. 20; 3,460
smiley face
For the expression 15-15z to have a negative value, what must be true about the value of z?
Choose the correct answer.
A. The value of z has to be 0.
B. The value of z has to be less than 1.
C. The value of z has to be greater than 1.
D.The value of z has to be negative.
Answer:
C. The value of z has to be greater than 1
Step-by-step explanation:
[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]
One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.
Hi, did you forget to attach the two-way table to the question? I can't seem to see it, so I can't answer your question
Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4
Answer:
C
Step-by-step explanation:
What is the probability that a number selected from the numbers (1, 2, 3,........,15) is a
multiple of 4?
(2x - 4)+ ( x + 9)
A. 3x+5
B.x+5
C.3x-13
D.x+9
Answer: option A, 3x + 5
first, i rewrote it and removed the parentheses.
2x - 4 + x + 9
then, i collected the like terms.
3x + 5