Using the graph, determine the coordinates of the vertex of the parabola.
Please Hurry) Consider the quadratic equation 3x^2 - 6 = 2x. A) What is the value of the discrimination? B) What does the discrimination of the quadratic equation tell about the solutions to 3x^2 - 6 = 2x?. ( Will Mark Brainliest). Show your work.
Answer:
A. 76
B. We will get two real solutions for the equation.
Step-by-step explanation:
A
For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.
In 3x²-2x-6=0, a=3, b=-2 and c=-6:
b²-4ac
(-2)²-4(3)(-6)=4+72=76
B.
When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.
One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.
Answer: 17 or -18
Step-by-step explanation:
x^2+x=306
x^2+x-306=0
(x-17)(x+18)=0
x-17=0
x=17
x+18=0
x=-18
..i think this is the right answer
Can you answer this? 99^9 × 66 it kinda hard for me
Answer:
60292138333920306000
Step-by-step explanation:
These four numbers are plotted on a number line:
-23,58,-35,-12
Which is the correct ordering on the number line, from left to right? A . -12,-35,-23,58 B. -12,-35,58,-23 C. -23,-35,-12,58 D. -35,-23,-12,58
Answer:
D
Step-by-step explanation:
Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?
Answer:
reflection reflection
Step-by-step explanation:
rotation doesn't make sense and there is no indication of a center of rotation.
so the obvious answer is reflection reflection
Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....
Answer:
[tex]a_n=a+(n-1)d[/tex]
Step-by-step explanation:
The given sequence is 22, 20, 18, ...
We need to find the explicit formula for an.
First term is 22
Second term = 20
Third term = 18
We can write the formula as :
[tex]a_n=a+(n-1)d[/tex]
Where
a is 22
d is common difference = 20-22 = -2
Forth term will be :
[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]
Hence, the formula is [tex]a_n=a+(n-1)d[/tex].
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
2x1+0x2+3x3=3
4x1-3x2+7x3=5
8x1-9x2+15x3=10
solve the system using Gaussian or Gauss-Jordan elimination
[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.
What is the equation of a circle with center (1,-4) and radius 2?
A. (x - 1)2 + (y +472 - 2
B. (x - 1)2 + (y + 4)2 - 4
C. (x + 1)2 + (y - 4) - 4
D. (x - 1)2-(y+4)2 - 4
Answer:
B. [tex](x-1)^2+(y+4)^2=4[/tex]
Step-by-step explanation:
The general equation of a circle with center (h,k) and radius r is given by :
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Substituting the given values of the center and radius into this equation we get:
[tex](x-1)^2+(y-(-4)^2=2^2[/tex]
==> remove parenthesis
[tex](x-1)^2+(y+4)^2=2^2[/tex]
==> simplify exponents
[tex](x-1)^2+(y+4)^2=4[/tex]
The equation of a circle with center (1,-4) and radius (2) is [tex](x-1)^2+(y+4)^2=4[/tex]
Learn more about the equation of a circle here : https://brainly.com/question/27248248
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
Plutonium-240 decays according to the function e(t)=Q e-k where 0 represents the quantity remaining after t years and k is the decay constant, 0.00011... To the nearest 10 years, how long will it take 27 grams of plutonium-240 to decay to 9 grams? A. 1.44 years B. 2,100 years C. 9,990 years D. 18,900 years
Answer: 9,990
Step-by-step explanation:
I need some help with this math problem. I really appreciate it. thank you very much!
Margaret's savings account had $500 in it last month. This month it has $545.
Answer:
9% increase
Step-by-step explanation:
A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
the length will be 9cm because a square has equal sides it not the same as the rectangle
Convert: 2,640 yards miles and yards
Answer:
1.5 miles
Step-by-step explanation:
Formula
divide the length value by 1760
Hope it helps you!
follow me for more!
I'm willing to help
Solve each equation.
2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25
Answer:
jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt
Step-by-step explanation:
ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
HELP!!!
What is the volume of the square pyramid, in cubic inches?
Answer:648
Step-by-step explanation:
V=a2h
3=92·24
3=648
Answer:
648 in.^3
Step-by-step explanation:
V = (1/3)Bh
V = (1/3)(9 in.)^2(24 in.)
V = 648 in.^3
Please help
Whoever gets right will receive brainliest
No links or spam
Step-by-step explanation:
Area of a circle = πr²
r = 6 mm (given)
Area = π(6)² = 36π mm².
Answer:
area if circle =πr²=π6²=36πmm²
round to nearest 10 place
318
4271
18293
Answer:
318-320
4271-4270
18293-18290
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
The diameter of a circle is 14cm. Which TWO statements are correct?
A
Answer:
(a) and (e)
Step-by-step explanation:
Given
[tex]d = 14cm[/tex]
Required
Select the true statements
First, is a statement about the area.
The area is calculated as:
[tex]Area= \pi*\frac{d^2}{4}[/tex]
So, we have:
[tex]Area= 3.14*\frac{14^2}{4}[/tex]
[tex]Area= 3.14*49[/tex]
(a) is true
Next, is a statement about the circumference.
This is calculated as:
[tex]C = \pi d[/tex]
So, we have:
[tex]C = 3.14 * 14[/tex]
(e) is true
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
What is the value of 3n2 − 4m ÷ 6 when n= 4 and m= 18?
Plz, help me!
Answer:
36
Step-by-step explanation:
3*4^(2) - (4*18)/(6)
Answer:
-4is the answer of this question
Step-by-step explanation:
=3*42-4*18
=-4
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answer:
0-2/5
I think this is it ;-;
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /
Answer:
The probability of pulling out a blue marble is 33.3%.
Step-by-step explanation:
Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:
28 - 1 = 27
9/27 = X
0.333 = X
0.333 = 33.3%
Therefore, the probability of pulling out a blue marble is 33.3%.
What is the answer please help no links I will report
Answer choices
Five days
Four days
Six days
g times 207 is equal to 247
Answer:
so G=1.19323671498
Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?
Answer:
The ranking of the top three teams could occur in 720 ways.
Step-by-step explanation:
The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In how many ways could the ranking of the top three teams occur?
Three teams from a set of 10. So
[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]
The ranking of the top three teams could occur in 720 ways.