Set the polynomial equal to
y
to find the properties of the parabola.
y = -3(x+4)^2 - 8
Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k
a = -2
h = -4
k = -8
Find the vertex (h,k)
(-4, -8)
As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
What is the vertex form of a quadratic equation?"The vertex form of a quadratic equation is:
y = a(x - h)² + k
Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.
Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."
Here, the given quadratic equation is:
y = f(x) = -2(x - 4)² + 8
By comparing it with the vertex form of a quadratic equation, we get:
h = 4, y = 8.
Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).
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john is a proud owner of a herd of cows 12 of them are brown and 32 are black what is the ratio of brown cows to the total number of cows?
Answer:
12:44, or if simplified 3:11
Step-by-step explanation:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
Answer:
3 : 11
Step-by-step explanation:
Total number of cows = 32 + 12 = 44
Brown cows : Total
12 : 44 =
3 : 11
Justin bought 5 apples and 4 oranges for £45. On another occasion, he bought 2 apples and 8 oranges which cost £50. Find the cost of 3 apples and 7 oranges
Answer:
the cost of 3 apples and 7 oranges be £15 and £35 respectively
Step-by-step explanation:
Let us assume the apple be x
And, the oranges be y
Now according to the question
5x + 4y = £45
And,
2x + 8y = £50
Multiply by 2 in equation 1
So,
10x + 8y = £90
2x + 8y = £50
8x = £40
x = £5
And, y be
5(£5) + 4y = £45
£25 + 4y = £45
4y = 20
y = £5
So, the cost of 3 apples and 7 oranges be £15 and £35 respectively
Babacar has a coupon for 20% off, after tax, at Burger Beast Restaurant. When Babacar and Arturo eat dinner at Burger Beast restaurant, their bill is $36.00 after tax. They use Babacar's coupon, and they decide to leave a tip that is 20% of the discounted price. How much did Babacar and Arturo pay in total?
a box of breakfast tacos coat $12 and a contains 8 tacos how much dose each taco coast
Answer:
$1.50
Step-by-step explanation:
12/8 = 1.50
Answer:
each taco cost $1.50
Step-by-step explanation:
12÷8=1.50The plan shows dimensions for your new kitchen cabinets. In order to leave an opening for the window, you have designed two cube-shaped cabinets. These connect to two long cabinets that are rectangular prisms in shape. How much space will you have inside the cabinets?
Answer:
24.75 thats it
Step-by-step explanation:
HELP ASAP!! PLEASE!! Which ordered pair is not a solution to the equation y = 6.15 + x?
A) (2.41, 8.56). B) (6.09. 12.24). C) (9.72, 15.87). D) (12.42, 18.09)
Answer: D (12.42, 18.09)
Explanation:
For A, if you substitute them, 6.15+2.41(x because x always is first), you get 8.56 but y is 8.56. So therefore, A is wrong cause it is a solution but it asks us for an incorrect solution.
For B, if you substitute the numbers, 6.09+6.15 = 12.24 but y is 12.24 meaning 12.24 = 12.24 which is true. But the question asks us which is not true/a solution, so therefore, B is also wrong.
For C, if you substitute the numbers, you get 9.72+6.15 which is 15.87. Since y is 15.87, the substituted question is 15.87=15.87 which is true and therefore, C is also wrong since it is true but it is asking us for an incorrect solution.
We are then left with D, which is the correct option. I'm guessing you want an explanation for why it is correct. So if you substitute the numbers, you would get y = 12.42+6.15 and 12.42+6.15 is 18.57 but y is 18.09. So the equation is 18.09 = 18.57 which doesn't make sense and is false. Thus, D is the correct answer because it provides a set of numbers that is a false solution to the equation.
REMEMBER:
In an ordered pair, x is the first number while y is the second, so make sure you substitute correctly!
When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3
Help, I cant find the answer on this circle answer
Answer:
d.
Step-by-step explanation:
Apply the angle of intersecting secant theorem.
[tex] \frac{12x - 5 - 2x + 7}{2} = 6x + 19[/tex]
[tex] \frac{10x - 12}{2} = 6x + 19[/tex]
[tex]5x - 6 = 6x + 19[/tex]
[tex] - 6 = x + 19[/tex]
[tex]x = 13[/tex]
Plug 13 into Arc SW.
[tex](12)(13) - 5 = 151[/tex]
find the measure of angle b
Answer:
130
Step-by-step explanation:
sum of supplementary angle is 180
180-50
130
According to the diagram which similarity statements are true? Select all that apply.
Answer:
A, B and C are all the same as they are all right angles :)
Please mark as brainliest :0
Step-by-step explanation:
Otis has saved $18,500 so far to buy a
house. He can put this amount into an
account that earns 5.1% simple interest,
or another with 5.1% compounded
annually. Which method of earning
interest should he choose, simple or
compound, and how much more interest
will the account earn using that method
after 4 years?
F Compound interest; $15,106.30
G Simple interest; $15,106.30
H Simple interest; $298.65
J Compound interest; $298.65
no
9514 1404 393
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
sjdjsjjdjsjdjsjsjds
Answer:
answer = 2
4- 10
6- 15
Step-by-step explanation:
i have learned it
and this........................
Answer:
stephanie is right
Step-by-step explanation:
-3x + 6 = -24
-3x = -24 - 6
-3x = -30
x = 10
Answer: "Stephanie claims the answer is 10"
Step-by-step explanation:
-3x + 6 = -24
subtract 6 from both sides
-3x = -30
divide -3 from both sides
x = 10
Those are the options
Answer:
Angle addition postulate
Step-by-step explanation:
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
D
26
E
13
133
sin DE
sin E =
COS DE
cos E = 1
In a coffee shop, cups of coffee cost 2$ and muffins cost 3$. The maximum amount that you can spend is $18. The equation that relates the number of coffees and muffins is 2c + 3m = 18
Answer:
c= 0 m=6
Step-by-step explanation:
0x2= 0
3x6=18
18+0=18$
a rectangular prism has a lenghth of 9 inches a width of 4 inches and a height 1 1/2 inches the prism is filled with cubes that have edge lengths of 1/2 inches how many cubes are needed to fill the rectangular prism please help man
108 cubes would be needed to fill the prism
Pls help! No bots pls
Question:
What are the solutions to 8x² − 25x = −24
Answer:
D.) x = [tex]\frac{(25+\sqrt{143}) }{16}[/tex] and [tex]\frac{(25-\sqrt{143}) }{16}[/tex]
What is the median of the data set?
6, 7, 11, 14, 20, 30, 35
A. 7
B. 14
C. 6
D. 35
Answer:
B
14
I think it is right :D
Step-by-step explanation:
Answer: B, 14
Step-by-step explanation:
The median is the number in the middle of the set if the numbers are in order.
And if there is an odd amount of numbers.
The number in the middle of the list is 14.
If the list doesn't have an odd amount of number you add the 2 middle ones and take the average so divide by 2.
In ΔQRS, r = 930 cm, q = 920 cm and ∠Q=114°. Find all possible values of ∠R, to the nearest 10th of a degree.
Answer:
112.6 degrees
Step-by-step explanation:
Quadrilateral RUST has a vertex at R(2, 3).
R
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x,y - 1)?
A. (6,2)
B. (6,8)
C. (6,6)
D. (5,8)
Answer:
6, 8
Step-by-step explanation:
Find the value of x.
35°
B
40°
H
100°
A
D
F
х
60°
55°
E
x= [?]°
Answer:
25!
Step-by-step explanation:
The value of measure of arc FE is 25°.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
In the figure, GB and GD are the secants of the circle.
In circle, intercept two arcs such that the measure of the angle that the segments form is equal to one-half the difference of the measures of the intercepted arcs. Thus arc length can be found as
[tex]\frac{1}{2}(mBD-mFE)=m \angle BGD[/tex] -------- (1)
Here, BD = [tex]35+100[/tex]
⇒ [tex]135[/tex]
FE = [tex]x[/tex]
m∠BGD = 55°
Now, equation 1 becomes
⇒ [tex]\frac{1}{2}(135-x)=55[/tex]
⇒ [tex](135-x)=55(2)[/tex]
⇒ [tex]135-x=110[/tex]
⇒ [tex]x=135-110[/tex]
⇒ [tex]x=25[/tex]
Hence we can conclude that the value of measure of arc FE is 25°.
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Giving brainlist to whoever answers
Answer:
its 45 so A
Step-by-step explanation:
because 5*9=45 and you dont multiply it by the height because your trying to find the base area and the base is the bottom part of the figure we cannot see.
convert 5 cubic miles to cubic feet
Answer:
7.36e+11
Step-by-step explanation:
What is the greatest common factor of 18, 24, and 40?
Answer:
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
Then the greatest common factor is 2.
The greatest common factor of 18 , 24 and 40 is HCF = 2
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the HCF be represented as H
Let the first number be represented as p
Now , the value of p = 18
Let the second number be represented as q
Now , the value of q = 24
Let the third number be represented as r
Now , the value of r = 40
And , the factors of 18 = 1, 2, 3, 6, 9 and 18
The factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24
The factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40
So , the HCF of 18 , 24 and 40 is the number 2
Hence , the HCF is 2
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Which expression is equivalent to 6(4 + 9)?
A. 6(36)
C. 6(4) + 6(9)
B. (6 + 4). (6 + 9)
D. 6(4):69)
Answer:
C. 6(4) + 6(9)
Step-by-step explanation:
Using distributive property for the expression 6(4+9) you multiply each number by the 6.
PLEASE HELP ASAP!!!!!
Answer:
D. 30
Step-by-step explanation:
60 = 2x
30 = x
answer correctly for brainliest
Answer:
B
Step-by-step explanation:
Which number has the greatest value
A 8.07 x 10^5
B 1.34 x 10^-4
C 9.23 x 10^-3
D 7.92 x 10^2
Answer:
See the explanation below
Step-by-step explanation:
Which number has the greatest value
From the given list of numbers
Option A has the greatest value
A 8.07 x 10^5
This is because it is raised to a positive number 5, and also the integer is the largest that is raised to a non-negative number/power
4 and 5 are alternative interior angles. Find the measure of angle 4.
Answer:
<4 = 115
Step-by-step explanation:
<4 = 115 because of vertical angles