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
solve the following equation
Answers
Hi,
x² + 8x + 12 = 0
a= 1 ; b= 8 c= 12
∆ = b² - 4ac
∆ = 8² - 4*1*12
∆ = 64 - 4*12
∆ = 64 - 48
∆ = 16
∆>0 :
x1 = (-b-√∆)/2a = (-8-4)/2 = -12/2 = -6
x2 = (-b+√∆)/2a = (-8+4)/2 = -4/2 = -2
S= { -6 ; -2 }
x = -6
or x = -2
✅(•‿•)
Answer:
x = -6 x = -2Step-by-step explanation:
x² + 8x + 12 = 0
➺ x² + 2x + 6x = 0
➺ x(x + 2) + 6(x + 2) =0
➺ (x + 6)(x + 2) = 0
Whether, x + 6 = 0
⠀⠀⠀⠀⠀➺ x = -6
⠀⠀or,⠀⠀⠀⠀ x + 2 = 0
⠀⠀⠀⠀⠀⠀➺ x = -2
9000 dollars is placed in an account with annual interest rate of 7.75 how much will be in the account in 18 year nearest cent
Answers
Answer:
9139.50
Step-by-step explanation:
since it didn't mention any withdraws from the account or any charges, its just a matter of multiplying 7.75 by 18 and adding it to the original balance.
Answer:
9139.50
Step-by-step explanation:
Find the value of x
Answers
Answer:
x = 17
Step-by-step explanation:
The hash marks indicate that the segment marked x+2 connects the midpoints of the sides of the triangle. Therefore, it is a "midline" and has half the length of the parallel base.
x +2 = 1/2(38)
x = 19 -2 . . . . . subtract 2
x = 17
convert each fraction to a decimal then a percent 4/25 3/11
Answers
Answer:
4/25=0.16=16%
3/11=0.27=27%
Step-by-step explanation:
I really need help with this, and also if it's Substitution or linear combination and it will be really helpful if you do step by step please.
Answers
Answer:
-2x+y=12
Step-by-step explanation:
linear equation
What factoring pattern can you use to solve x^2+14x+49=0
A (ax+√c)^2=0
B (√a*x+√c)^2=0
C (√a*x+c)(√a*x-c)=0
D (ax+√c)(ax-√c)=c
Answers
Answer:
B (√a*x+√c)^2=0
Step-by-step explanation:
It can be helpful to look a the expanded form of each of these factoring patterns.
A (ax+√c)^2=0 ⇒ a^2x^2 +2a√c*x +c = 0
B (√a*x+√c)^2=0 ⇒ ax^2 +2√(ac)*x +c = 0
C (√a*x+c)(√a*x-c)=0 ⇒ ax^2 -c^2 = 0
D (ax+√c)(ax-√c)=c ⇒ a^2x^2 -c = c
If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.
Choice B is the only sensible one, and fits the given equation.
a = 1, c = 49 ⇒ √a = 1, √c = 7
x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B
i’m struggling with this question. can you please help me?
Answers
Answer:
50°
Step-by-step explanation:
∠ RST = (arc QC - arc RT) / 2
= (150° - 50°) / 2
= 50°
5x – 9 = 3x + 7
Solve for x
Answers
Answer:
Solving for x
5x - 9 = 3x + 7
subtract 3x from both sides
-3x -3x
2x - 9 = 7
get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction
+9 +9
2x = 16
divide by 2 since that is the inverse operation of multiplication
/2 /2
x = 8
The solution for ''x'' for the expression ( 5x – 9 = 3x + 7
What is an expression?Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.
To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.
First, we can simplify both sides of the equation by combining like terms:
5x - 9 = 3x + 7
2x - 9 = 7
Next, we can add 9 to both sides of the equation to isolate the variable term:
2x = 16
Finally, we can divide both sides of the equation by 2 to get the value of x:
x = 8
Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
Please, Please help ASAP
Answers
Answer:
5 is the answer
please mark as brainlist
thank you
3. Solve by graphing. Round each answer to the nearest tenth.
x^2 - 7x = 11
Answers
Answer:
-1.3, 8.3
Step-by-step explanation:
Based on the graph below, the solutions are -1.3 and 8.3.
WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE
Answers
Answer:
It is totaly based on the diagram
Answer:
it is said on diagram or other values are given to find it
p²÷4-m; use m=3, and p=4
Answers
16 / 1
answer should be 16
Harry and Matthew, have 56 toys to build. harry builds three fourths of the toys, while matthew builds one seventh of the toys. How many toys are there left to build?
Answers
Answer:
i don't know
Step-by-step explanation:
What is the value of 2^2n ?
Answers
Answer:
2^2n = 4n
hope it helps you :)
Answer:
4n
Step-by-step explanation:
2^2n = 4n
hope u liked this answer :)
plsssssssss help
joey decided to start a lawn care business. He charges customers $25 per hour, plus a $75 service fee for each visit, which can be represented by the function f(x)=25x+75. In the equation, what is represented by the "x" variable?
Question 15 options:
the total cost for the lawn care visit
the number of hours Joey worked
the amount Joey charges per hour
the fixed fee for the service call
Answers
Answer:
X = The number of hours Joey worked (C)
Step-by-step explanation:
$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.
Help me pleas asap and pleas show your work
Answers
Answer:
y = 7 - 4x
Step-by-step explanation:
8x + 2y = 14
2y = 14 - 8x (since we're solving for "y", we want "y" by itself)
y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the equation by 2)
y = 7 - 4x (divide by 2)
Hope this helps :)
Evaluate −x when x=16.
Answers
Answer:
-x=16
x=-16
Step-by-step explanation:
That is the Answer
The sum of three consecutive numbers is 75.
What is the smallest of the three numbers ?
Answers
Answer:
Step-by-step explanation:
y + y + 1 + y + 2 = 75
3y + 3 = 75
3y = 72
y = 24
y +1 = 25
y + 2 = 26
24 + 25 +26
49 + 26 = 75
Answer: 24, 25, 26
is the formula for percentages compound interest is P=I/N???
P stands for principle
I stands for compound interest
N stands for nothing
Answers
Answer an essay on nothing
Step-by-step explanation:
In philosophy there is a lot of emphasis on what exists. We call this ontology, which means, the study of being. What is less often examined is what does not exist.
It is understandable that we focus on what exists, as its effects are perhaps more visible. However, gaps or non-existence can also quite clearly have an impact on us in a number of ways. After all, death, often dreaded and feared, is merely the lack of existence in this world (unless you believe in ghosts). We are affected also by living people who are not there, objects that are not in our lives, and knowledge we never grasp.
Upon further contemplation, this seems quite odd and raises many questions. How can things that do not exist have such bearing upon our lives? Does nothing have a type of existence all of its own? And how do we start our inquiry into things we can’t interact with directly because they’re not there? When one opens a box, and exclaims “There is nothing inside it!”, is that different from a real emptiness or nothingness? Why is nothingness such a hard concept for philosophy to conceptualize?
Let us delve into our proposed box, and think inside it a little. When someone opens an empty box, they do not literally find it devoid of any sort of being at all, since there is still air, light, and possibly dust present. So the box is not truly empty. Rather, the word ‘empty’ here is used in conjunction with a prior assumption. Boxes were meant to hold things, not to just exist on their own. Inside they might have a present; an old family relic; a pizza; or maybe even another box. Since boxes have this purpose of containing things ascribed to them, there is always an expectation there will be something in a box. Therefore, this situation of nothingness arises from our expectations, or from our being accustomed. The same is true of statements such as “There is no one on this chair.” But if someone said, “There is no one on this blender”, they might get some odd looks. This is because a chair is understood as something that holds people, whereas a blender most likely not.
The same effect of expectation and corresponding absence arises with death. We do not often mourn people we only might have met; but we do mourn those we have known. This pain stems from expecting a presence and having none. Even people who have not experienced the presence of someone themselves can still feel their absence due to an expectation being confounded. Children who lose one or both of their parents early in life often feel that lack of being through the influence of the culturally usual idea of a family. Just as we have cultural notions about the box or chair, there is a standard idea of a nuclear family, containing two parents, and an absence can be noted even by those who have never known their parents.
This first type of nothingness I call ‘perceptive nothingness’. This nothingness is a negation of expectation: expecting something and being denied that expectation by reality. It is constructed by the individual human mind, frequently through comparison with a socially constructed concept.
Pure nothingness, on the other hand, does not contain anything at all: no air, no light, no dust. We cannot experience it with our senses, but we can conceive it with the mind. Possibly, this sort of absolute nothing might have existed before our universe sprang into being. Or can something not arise from nothing? In which case, pure nothing can never have existed.
If we can for a moment talk in terms of a place devoid of all being, this would contain nothing in its pure form. But that raises the question, Can a space contain nothing; or, if there is space, is that not a form of existence in itself?
This question brings to mind what’s so baffling about nothing: it cannot exist. If nothing existed, it would be something. So nothing, by definition, is not able to ‘be’.
Is absolute nothing possible, then? Perhaps not. Perhaps for example we need something to define nothing; and if there is something, then there is not absolutely nothing. What’s more, if there were truly nothing, it would be impossible to define it. The world would not be conscious of this nothingness. Only because there is a world filled with Being can we imagine a dull and empty one. Nothingness arises from Somethingness, then: without being to compare it to, nothingness has no existence. Once again, pure nothingness has shown itself to be negation.
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Answers
Answer:
Part A:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is
y = 100 + 10x
Part B:
Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Part C:
Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is
y = 10x
Part D:
Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.
Part E:
Do the same for E after you do Part D.
Step-by-step explanation:
Hope it helps!
Answer: ?
Step-by-step explanation:
You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answers
Answer:
$4,750
Step-by-step explanation:
Answer:
3360
Step-by-step explanation:
1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360
For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?
Answers
A because the > symbol means greater so if n is on the open side that means its greater
~Shoto Todoroki here~
its option A
i figured this out by trial and error :/
have a good day!
A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the sticker?
___centimeters by ____ centimeters
Answers
Length + width = 1/2 the perimeter:30/2 = 15
Area = length x width
List the factors of 50: 1, 2, 5, 10, 25, 50.
Find the two factors that when added together equal 15:
Dimensions are 5 cm by 10 cm.
See attachments for answer and math work.
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.
Answers
Answer:
x=10, y=-1
Step-by-step explanation:
x-y=11
2x+y=19
3x=30
x=10
10-y=11
-y=1
y=-1
USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y
can anyone find the area to this?
Answers
Answer:36
Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12
Help help help help pls
Answers
Round 6 734 591 to 2 significant figures
Answers
Determine the type of triangle that is drawn below.
5.89
X
V
38°
90°
4.53
7.43
52°
W
Answers
Answer:
Right-triangle
Scalene
Step-by-step explanation:
[] This is a right triangle because it has an angle that is 90°
[] This is a scalene triangle because all of the sides are different lengths
-> We can also tell this is scalene because none of the angles are the same degree
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
How to write a line segment
Answers
Answer:
In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters.
Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?
Answers
Answer:
8 kiwis
Step-by-step explanation:
32/16= 2
2 kiwi for $1
4*2= 8
Answer:
8
Step-by-step explanation:
Method 1:
32 kiwi = $16
(÷4)
8 kiwi = $4
(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)
Ans: 8
Method 2:
$16 ÷ 32 = $0.50 (cost of 1 kiwi)
$4÷$0.50=8
