The graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.
To find the x-intercepts, we can set y=0 and solve for x:
0 = -x² - 12x - 35
Using the quadratic formula, we get:
x=-b±√b²-4ac/2a
x=12±√144-140/2(-1)
x=12±√144-140/(-2)
x=12±2/(-2)
The x-intercepts are approximately x=-7 and x=-5
To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:
x = -b / 2a = -(-12) / 2(-1) = 6
y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107
So the vertex is at (6, -107).
Hence, the graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
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Mary is designing a square garden in her field to grow vegetables. The minimum size for a garden is 2 meters on each side. She decides it would be best to have each side be 2 meters long plus an additional x amount of meters.
a. What expression can represent the area of the garden?
b. Mary’s five additional friends also want to make this garden with the same dimen
Please help I will mark brainiest answer
I NEED HELP PLEASE- ‼️‼️‼️
Answer:
18x^2 - 30x
Step-by-step explanation:
Distribution:
You just have to distribute 6x by each term in the parenthesis.
Equation: 6x(3x-5)
(You can also think of it as: 6x * 3x + 6x * -5)
18x^2 - 30x
This is as simplified as can it can be.
(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).
-x + 3y = -12 in slope intercept form. please show step by step. thanks :)
Answer:
y=x/3 - 4
Step-by-step explanation:
add x to get x to the other side
3y= x-12
divide by 3 on both sides to get y by itself y= x/3 - 4 is simplest form
Answer:
slope intercept form is y=mx+b
add x to both sides : 3y=x-12
divide by 3 on both sides : y=(1/3)x-4
nnnd i put both equations in desmos n they r the same :)
PLZ HELP ASAP!!!! NEED HELP!!!
Answer:
I'm pretty sure the answer is C
Help! Plz thank you!!!!
Answer:
i do not see a picture or an image of what you need.
Step-by-step explanation:
HELP PLEASE ASAP A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?
Answer:
3458
Step-by-step explanation:
I need help what’s the answer ?
Answer:
x = 30
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2.5}{5}[/tex] = [tex]\frac{1}{2}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = 30
(4) please try and find the area of a triangle thank you
Answer:
The answer is 6m
Step-by-step explanation:
This is because the formulae used to find the area of a triangle is ½ multiplied by the base multiplied by the height.
Hope it helps:)
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
what does 4x-2y=2 equal to step by step
Answer:
y = 2x - 1
Step-by-step explanation:
4x - 2y = 2
So I'm assuming that your goal is to solve for the value of y in terms of x
First: the whole equation can be divided by 2
2x - y = 1
Second: subtract 2x from both sides
-y = -2x + 1
Third: divide each side by -1
y = 2x - 1
Done! I would appreciate Brainliest but no worries.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Answer
Step-by-step explanation:
The answer is d because if you at 17 to 197 you'll get 203
The combined area of the lots is 8,375 square feet. How many feet wide is Lot Y?
Answer Choices
53 feet
55 feet
120 feet
125 feet
Michael is measuring fabric for the costumes of a school play he needs 11.5 meters of fabric. He has 280 centimeters of fabric. How many more centimeters does he need ?
Answer:
8.7
Step-by-step explanation:
The answer is 8.7 because 280 centemiters converted into meters is 2.8 and 11.5-2.8=8.7
Two symmetric points on a parabola are (3, -2) and (7, -2).
What is the parabola's axis of symmetry?
Answer:
(5, -2)
Step-by-step explanation:
It is in the middle of the parabola for the points (3, -2) and (7, -2).
PLEASE HELP ME ANSWER BESTIES !!!
I would say 12 and 14 because if you were to evaluate that square root, you would get −13.0384048104 and that would lie between 12 and 14.
If I'm wrong, sorry.
Body mass index, of 20-year-old men is normally distributed with a mean of 23 and a standard deviation of 3.8. Twenty-year-old Allan's BMI has a z-score of 1.25. What is Allan's BMI?
Answer:
Allan's BMI is 5.05
Step-by-step explanation:
Answer:
The correct answer is 27.75
Step-by-step explanation:
1.25•3.8+23 is the formula
1.25•3.8=4.75
4.75+23=27.75
So 27.75 is your answer
PLZ HELP ASAP NO LINKS!!!
Line A is perpendicular to Line B.
If the slope of Line A is - 3/4, what is the slope of Line B?
?/?
Answer:
4/3
Step-by-step explanation:
The answer, when perpendicular, is always the reciprocal
Pls help?!?!? With this
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
I need this done thanks!
Step-by-step explanation:
Median= n+1/2 ( if n is even )
So,
10+1/2=11/2=5.5
Therefore,
135 is your second answer
Spread of the data = in the above mentioned picture the wave given to find the spread of the data
Hope it helps
What is the slope of (10,3) and (2,3)
Answer:
m=0
Step-by-step explanation:
the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)
we are given the points (10,3) and (2,3)
label the values of the points to use for the formula:
x1=10
y1=3
x2=2
y2=3
plug into the formula
m=(3-3)/(2-10)
subtract
m=0/-8
divide
m=0
therefore, the slope is 0
Hope this helps! :D
0/-8
i’m not very good at explaining but that is the answer ^^
find the missing term in the equation below (?+5)+(3x-2)=8x+3
Answer: 5x
Step-by-step explanation:
5x + 3x = 8x
Answer: Question
find the missing term in the equation below (?+5)+(3x-2)=8x+3
(5x+5)+(3x-2)=8x+3
5x+5+3x-2
5x+3x+5-2
8x+3
therefore, answer proved
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In a film showing by the dramatic club, a ticket costs 50 pesos for members. What will be expression for non members if the ticket costs 5 pesos more than the members? Algebra.
Answer:
Expression represents this situation is 50+5 pesos.
Step-by-step explanation:
A ticket costs 50 pesos for a member of a club.
Non club member ticket cost is 5 pesos more than the member.
So, expression represents this is 50+5 pesos
Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False
Answer is false
Answer:
It’s false
Step-by-step explanation:
It doesn’t need to be the same
Please help I'll mark brainliest
Answer:
okay...... where is the question
what is 5x – 9 + 2x – 4 = 9.4
Answer:3.2
Step-by-step explanation:
3.2 because x =16/5=3 1/5=3.2
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
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8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|
If a point is randomly selected from the area under the curve, what is the probability that it will be in the black region?
A) 0.5
B) 1.0
C) 1.5
D) 2.0
Answer:
A) 0.5
Step-by-step explanation:
The probability between 0 and 3 is 0.49865
The probability of 0 or less (≤ 0) is 0.50000
Took the test on USA Test prep
The _____ _____, denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals_____, where x is the number of individuals with a specified characteristic in a sample of n individuals. the ▼ ▼ deviation mean proportion error variance , denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals ▼ xn startfraction n over x endfraction startfraction x over n endfraction , where x is the number of individuals with a specified characteristic in a sample of n individuals.
Answer:
Sample proportion ; phat
x / n
Step-by-step explanation:
The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.
The sample proportion is expressed Mathematically as ;
phat = x / n
x = number of subjects with a specified characteristic ;
n = total sample size
For instance ;
The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :
phat = x / n = 15 / 100 = 0.15