8th/9th-95 POINTS+BRAINLIEST!!!!!!!! How do you write a quadratic equation in vertex form? Please explain the steps in simple language and use y=x²+6x+16 as an example.
Answer:
In vertex form: y = 1(x - (-3))² + 7
Vertex: Minimum (-3, 7)
Explanation:
Vertex form: y = a(x - h)² + k
Completing square (rules) :
1st rule: (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
2nd rule: x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Given equation:
y = x² + 6x + 16
y = x² + 2(3)x + 3² + 7
y = (x + 3)² + 7
Into vertex form:
y = 1(x - (-3))² + 7
From this identify:
a = 1, h = -3, k = 7
Solution, vertex of this equation: Minimum (-3, 7)
Please help i tried and i got it wrong. If you get 14 then... Yeah its wrong. Ty!
Answer: if it's the same question I just answered for you then I tried it again and im like 99% sure x= -2
Step-by-step explanation:
she has 2 1/2 cups of peanuts. 3 1/4 cups of rainsins and 2 2/3 cups of banana chips. how many cups of trail mix can she make
Answer:
8 cups of trail mix
Step-by-step explanation:
2 1/2 + 3 1/4 + 2 2/3= 8 5/12
Help, please. Quadratics are difficult. SEE IMAGE
1) Note that the area of the painting is 12√(30)x In²
2) the number of times the graph of y = 5x² - 10x + 5 intersects the x-axis without graphing is 1.
What is the explanation for the above response?1) The area of the painting is given by the product of its length and width. So, the expression for the area (A) of the rectangle in simplest form would be:
A = (length) x (width)
A = √(30)x x 36/√3
A = √(30)x x 36/(√(3) x √(3))
A = √(30)x x 36/3
A = 12√(30)x
Therefore, the area of the painting is 12√(30)x In²
2)
To determine the number of times the graph of y = 5x² - 10x + 5 intersects the x-axis without graphing, you can use the discriminant formula from quadratic equations. The x-axis corresponds to y = 0, so you can set y = 0 in the equation and solve for x:
0 = 5x² - 10x + 5
Next, use the discriminant formula, which is b² - 4ac, where a = 5, b = -10, and c = 5, to find the number of real roots of the equation. If the discriminant is positive, the equation has two real roots and the graph intersects the x-axis twice. If the discriminant is zero, the equation has one real root and the graph intersects the x-axis once. If the discriminant is negative, the equation has no real roots and the graph does not intersect the x-axis.
In this case, the discriminant is (-10)² - 4(5)(5) = 0, which means the equation has one real root and the graph intersects the x-axis once. Therefore, the number of times the graph of y = 5x² - 10x + 5 intersects the x-axis without graphing is 1.
Learn more about graphing at:
https://brainly.com/question/17267403
#SPJ1
Which real-world image represents a negative slope? A palm tree with a positive slope. A soccer net with a negative slope. A ladder with a positive slope. A hockey stick with a positive slope.
Answer:
a soccer net with a negative slope
Step-by-step explanation:
Select the example which illustrates the distributive property of 7 × 39
(7 + 3) (7 + 9)
(7 × 30) + 9
39 × 7
7(30 + 9) = 7(30) + 7(9)
THIS IS URGENT- BLUE!!!
Answer:
d) 7(30 + 9) = 7(30) + 7(9)
Step-by-step explanation:
Distributive method:
a(b + c) = ab + acHere given:
7 × 39Among the option's:
1st option (7 + 3) (7 + 9) is wrong, changes final answer.
2nd option (7 × 30) + 9 is wrong, changes final answer.
3rd option 39 × 7 shows commutative property of multiplication.
4th option show distributive method.
If u can answer talk number four I’ll give u a brainlest Yuhh
Answer:
"cake recipes" instead of "how to make a cake."
Answer:
sucks that I cant lol
Step-by-step explanation:
I need help ……. PLEASE
Answer:
Step-by-step explanation:
32
A scientist pours 708 milliliters of a solution into a beaker. There are approximately 236 milliliters in 1 cup. How many ounces of a solution did she pour into the beaker?
Answer: The answer is 3
Step-by-step explanation:
just do 236x3 next time. Have a good day!
the table shows the relationship y=kx. what is the constant proportion, k?
Answer:
\(k \: = 4 \)
Step-by-step explanation:
Thanks alot
DUE JUNE 30TH!!!!!!!!!!!!!!!!!!!!!!
Answer: a) Surface Area : 488 \(cm^{2}\)
Volume : 672 \(cm^{3}\)
b) Surface Area
c) Volume
Step-by-step explanation:
The object given is a cuboid. A cuboid has 6 sides.
To calculate the surface area and volume, we need the dimensions of the cuboid which are the length(l), breadth(b), and height(h).
According to the image given, l = 14 cm, b = 8 cm, and h = 6 cm.
a) Surface Area:
The formula for the surface area of a cuboid is = 2*((l*b)+(l*h)+(b*h))
Therefore, the surface area = 2*((14*8)+(14*6)+(8*6)) = 488 \(cm^{2}\)
The area is always denoted as \(cm^{2}\)
Volume:
The formula for volume of a cuboid is = l*b*h
Therefore, the volume = 14*8*6 = 672 \(cm^{3}\)
The area is always denoted as \(cm^{3}\)
b) Plating is done to usually protect the surface area of an Object. Therefore the answer is Surface Area.
c) If the brick is made of concrete, it means that the whole space occupied by the brick consists of concrete. Therefore volume is the right option.
To learn more about surface area and volume:
https://brainly.com/question/13789496
Answer:
1. Volume: 672cm
SA: 488cm
2. SA
3. Volume
Please give brainly!
There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees can be formed?
Answer: 120 ways
Step-by-step explanation:
Number of people in baking club = 10
Number of people who make up an executive committee = 3
Number of committees which can be formed :
This is a combination problem:
nCr = n! / (n-r)! r!
n = 10 ; r = 3
10C3 = 10! / (10 - 3)! 3!
= 10! / 7! 3!
= ( 10 * 9 * 8) / 3 * 2 * 1
= 720 / 6
= 120 ways
Marlo buys
6
66 feet of ribbon to make bracelets. She needs
18
1818 inches of ribbon to make
1
11 bracelet.
How many bracelets can Marlo make if she uses all the ribbon she buys?
Answer:
So, 6 feet is equal to 72 inches. You need 18 inches for one bracelet, so by dividing 72/18, you get 4. So, he can make 4 bracelets.
Answer:
So, 6 feet is equal to 72 inches. You need 18 inches for one bracelet, so by dividing 72/18, you get 4. So, he can make 4 bracelets.
Step-by-step explanation:
Yvonne’s bakery makes blondies and brownies. ● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies?
Answer:
1/2 half of them are blondies
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 1/2 half of them are blondies
4r–2≤–10
I have to graph it on a number line
5) ASAP HELP DUE IN 5MIN
Answer:
y=-5x
Step-by-step explanation:
Hope this helps!
Brainliest if correct pls
Ok, can you help me pease?
Answer:
1. -8 - 15 = -8 + -15
2. 8 - (-15) = 8 + 15
3. -8 - (-15) = -8 + 15
4. 8 - 15 = 8 + (-15)
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
HELPpppppppppppppPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answer:
no bro, sorry. even though I needed to I don't have it
will give brainliest pls answer
How many months old is Paula?
Solve using this: p= −1/60r + 13/12
Answer:
uh ma'am - you need help this totally make sense ^_^
Answer:
-r+65/60
hope it helps
BRAINLIEST!!! Lorenzo deposited $60 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
x-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
Can someone help me and tell me what this is I dont get it
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
i´ve been asking the same question every day and getting lazy wrong answers lmaxo
Explain your answer, please
。 • ゚ 。 . . . 。 。 . . 。 ඞ 。 . • • ゚
Scale Factor of Triangle STU to Triangle PQR
Scale Factor of Triangle PQR to Triangle STU
Scale Factor of Trapezoid EFGH to Trapezoid JKLM =
Scale Factor of Trapezoid JKLM to Trapezoid EFGH
Answer:
Step-by-step explanation:
Scale Factor of Triangle STU to Triangle PQR = 15 : 10 = 3 : 2
Scale Factor of Triangle PQR to Triangle STU = 2 : 3
Scale Factor of Trapezoid EFGH to Trapezoid JKLM = 5 : 10 = 1 : 2
Scale Factor of Trapezoid JKLM to Trapezoid EFGH = 2 : 1
yall help me again please!
Answer:
T F F T
Step-by-step explanation:
T - there are no green marbles
F - the majority of the marbles are yellow
F - nothing is for certain there's possibilities to pick the other 2 colours
T - there are few red marbles compared to the total of the others
Answer:
T, F, F, T
Step-by-step explanation:
1. There are no green marbles
2. more than half the marbles are yellow there is a high chance
3. Blue have quite a lot as well
4. there are only 2 red marbles very low chance
The Johnson family buys gasoline at three different gas stations during a car trip.
At the first station, they pay 25.20 for 12 gallons of gas.
At the second station, they pay 19.71 for 9 gallons of gas.
At the third station, they pay 33.12 for 16 gallons of gas.
What is the rate AND the unit rate of the cost per gallon at each station?
Answer:
The unit rate for the first station is 2.1. The unit rate for the second station is 2.19. The unit rate for the last station is 2.07.
Step-by-step explanation:
25.20 divided by 12 is 2.1
19.71 divided by 9 is 2.19
33.12 divided by 16 is 2.07
Question 5
show the work please
Answer:
D) 27
Step-by-step explanation:
It's a rectangle so the opposite sides are congruent to each other.
Long Side:
6x + 6 = 42
subtract 6 from both sides:
6x = 36
divide both sides by 6:
x = 6
Short Side:
5y + 5 = 30
subtract 5 from both sides:
5y = 25
divide both sides by 5:
y = 5
The Equation:
2x + 3y
substitute in the values:
2(6) + 3(5)
do the multiplication:
12 + 15
add the values together:
27
What is (3x2.05)+(_x1.09)+(2x_)+(_x_) I NEED HELP PLEASE SOMBODY
Math question someone pls explain how to answer it I am stuck pt.6
Answer:
1/5 or 20%
Step-by-step explanation:
Probability = favorable outcomes
total num. of outcomes
Probability = 2
10
Find the GCF, 2.
2 ÷ 2 = 1
10 ÷ 2 = 5
1/5
sorry if it's wrong
Answer:
The probability of choosing a green shirt is 20%=1/5=.2
Step-by-step explanation:
find the total amount = 10
Find the total of question (probability of choosing green) = 2
set as a fraction:
Numerator = amount needed (2)
Denominator = all things/objects involved (10)
PS*
With probability there is a good chance the answer is going to be less than 1 or 100%, knowing that can help to tell which number goes in what place of the fraction
ex:
10/2=5=500% (this can't be the answer)
So Flip it 2/10=.2=20% (This seems more of a reasonable answer)