x² + 3x + k = 0
pls help
Answers
Answer:
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]x^2+3x+y=0[/tex]
[tex]4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2[/tex]
[tex]\bold{\mathrm{Therefore\:parabola\:properties\:are:}}[/tex]
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]
Related Questions
ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.
Answers
Step-by-step explanation:
let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.
the slope BA = -1
as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).
the slope of CD = -1
as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).
so, both lines are indeed parallel.
the slope CB = +1
as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)
the slope of DA = +1
as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)
so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).
therefore, we have only 90° angles here.
and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.
therefore, this is a square.
and with that it is automatically also a rectangle and a rhombus.
Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)
Answers
Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]
factorize 4y^2 - 2^2?
Answers
Answer: 4(y+1)(y-1)
Step-by-step explanation:
Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
Answers
Answer:
-8
Step-by-step explanation:
Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.
Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.
Is Andy correct?
Answers
Andy is not correct, 5/6 is greater than 7/10.
PLEASE HELP!!! TRIG
The three solutions of the equation
f(x)=0 are 0°, 180°, and 360°.
Therefore, the three solutions of the equation f(x-30°)=0 are:
Answers
Answer:
30°, 210°, 390°
Step-by-step explanation:
Given
f(x ) = 0 has solutions 0°, 180°, 360° , then
f(x - 30) = 0
Add 30° to each of the solutions of f(x) = 0
(0 + 30)° = 30°
(180 + 30)° = 210°
(360 + 30)° = 390°
Rosanne is making a swirled pudding dessert to bring to her friend's barbecue. She mixes
chocolate and vanilla pudding in a large bowl for the adults. Then, she decides to make a smaller
portion for the kids. In a small bowl, Rosanne mixes half the amount of chocolate pudding and half
the amount of vanilla pudding. Which bowl of pudding is more chocolaty?
Answers
Answer:
None of the bowls
Step-by-step explanation:
It's because the amount of chocolate and vanilla in the pudding is the same,
which is why both are chocolatey; none are more chocolatey
Answer:
none
Step-by-step explanation:
As promised I I will be doing 100 points now please do NOT do anything that is not pertaining to the picture
Answers
A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D.
Answers
The number of different possible passwords possible is 6760000
This is a question is the application of permutation. Permutation has to do with the arrangement.If a computer consists of 6 character computer password that is made up of 4 numbers followed by 2 letters, the total digits and letters present are 6The number of ways the passwords are possible is 10^4 * 26^2
10^4 * 26^2= 10000 * 676
10^4 * 26^2 = 6760000
Hence the number of different possible passwords possible is 6760000
Learn more on permutation here: https://brainly.com/question/25500566
Answer:
its D
Step-by-step explanation:
PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
Step-by-step explanation:
Gordon types 2,584 words in 38 minutes.
Answers
Answer:
Gordon types 68 words per minute
Step-by-step explanation:
2584/38=68
Which of the following solution sets represent the inequality 3-1/2x>10?
Answers
[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]
Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?
Answers
Explanation: He is driving 65 miles an hour so 65+65=130 and you subtract that from 179, so 179-130 and it equals 40
Answer:
you should take notes
Step-by-step explanation:
why you should know this your teacher probally already taught you this already you should go back and take notes = )
The Thomas family budgeted 8% of their annual disposable income of $32,725 on clothes. Vincent was allowed 22% of the amount budgeted. How much can Vincent spend annually on clothes?
A. $575.96
B. $2,618.00
C. $599.96
D. $340.88
Answers
Answer:
so first you add something and then subtract and then divide then you er butf then youcan see toplod ej
Define a equilateral triangle
Answers
Answer:
All sides are equal
Step-by-step explanation:
Think: equilateral is equal so this must mean that something on the triangle has to be all equal.
167<6+7(2+7r)
what is it please help
Answers
Answer:
3 < r
Step-by-step explanation:
167<6+7(2+7r)
distribute the 7 to the 2 and 7r
7 * 2 = 14 and 7 * 7r = 49r
167 < 6 + 14 + 49r
combine like terms: 6 + 14 = 20
167 < 20 + 49r
subtract 20 from both sides
147 < 49r
divide both sides by 49
3 < r
Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.
Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.
Answers
Use the diagram to answer the question that follows.
What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?
D
B
E
A
Answers
Answer:
B
Step-by-step explanation:
So we are at C:
We need to find the dilation:
First we add 4 to x (meaning we move the point C 4 points to the right)
Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)
This will give you your point:
Which is B
Hope this helps!
Functions f(x) and g(x) are define below.
f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4
determine where f(x) = g(x) by graphing.
Answers
Answer:
slope:1
y-intercept:(0,0
Answer:
x = -1 and x = 8.1
See image
Step-by-step explanation:
If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form
y=sqrt x
And
y=|x|
Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.
Subtract
-
Iw +
W + 4 from įw + 3
1w -
- 1
- 1w + 1
1w7
w + 7
- 1w + 7
aro
Answers
Answer:
what grade are u in so I know
0.3(y+2)=1.7+(8-y) solve the following equation
Answers
Answer:
y = 7
Step-by-step explanation:
0.3y+0.6 = 9.7 - y
0.3y+y = 9.7 -0.6
1.3y = 9.1
y= 7
sorry it had an error
The larger angle measures?
The smaller angle measures?
Answers
Answer:
Larger angle: 104 degrees
Smaller angle: 76 degrees
Step-by-step explanation:
(9x+5) + (6x+10) = 180
x = 11
evaluate if r=12 s= -4 t= -6
8-r/-2
Answers
Answer:
8-r/-2
8-12/-2
-4/-2
2
This is the answer
I think this will help you
Hannah completed 40 problems in 32 minutes.
Put in a unit ratio
Answers
Answer: 1.25 problems/min and in ratio it is 1.25/1
We can keep the rate as problems/min
So, in 32 mins Hannah can complete 40 problems.
32 mins --> 40 problem
1 min --> 40/32
--> 1.25
So, 1.25 problems can be created per minute.
Determine if the graph represents a linear function, quadratic function, or exponential function.
Group of answer choices
Exponential
Linear
Quadratic
Answers
Answer:
Step-by-step explanation:
Answer:
quadratic function
Step-by-step explanation:
y=(x-1)²-3
What is the distance between -10 and 17 on the number line?
Answers
Find the difference:
17 - (-10) = 27
So the distance between 17 and -10 is 27.
Answer: 27
Step-by-step explanation:
write this equation in slope intercept form
(4, -3) (2, -9)
Answers
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]
[tex]y=3x+b[/tex]
[tex]-3=3(4)+b[/tex]
[tex]-3=12+b[/tex]
[tex]-15=b[/tex]
[tex]y=3x-15[/tex]
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]
Pls po pahelpp ..... Kahit po paturo lng pra po matapos ko po
Answers
Answer:
ngee hirap Naman niyan sayang
I need help with this is dont really understand it
Answers
Answer:
y = 10x + 6.
Step-by-step explanation:
y = mx + c
Here the slope m = 10 and c = 6 ( the y-intercept)
It's 6 because the point (0, 6) lies on the y-axis (where x = 0).
A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
Answers
Therefore algebraically speaking we can say:
13c=s