Answers
Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
Related Questions
Rewrite in radical form 1/-3/6^x
Answers
Answer:
[tex] \frac{1}{ \frac{ - 3}{ {6}^{x} } } \\ = 1 \times \frac{ {6}^{x} }{ - 3} \\ = - \frac{ {6}^{x} }{3} [/tex]
QwQ hate math exams will mark brainliest and it’s worth 30 points <3
Answers
Answer:
About 8.6 units.
If you count up and sideways, it would be 12, but then there is some stuff we need to calculate at the end because it's not fully.
Answer:
B , 8.6
Step-by-step explanation:
5^2 + 7^2 = 74
square root of 74 is 8.6 hen rounded
I just learned about this lol its the Pythagorean theorem
HELP!!!!
What is the surface area of the figure below?
Answers
surface area= perimeter x height + 2b
s= pxh+2b
example: 18(8)+2(12)
explain: 18 is the perimeter and 8 is the height then you have to add the base times 2
please help !!!!!!!!!!
Answers
Answer:
The answer is 3.76
Please please I beg for the lord someone help
Answers
Answer:
y = -2/5 x + 4
Answer:
See explanation for answer.
Step-by-step explanation:
Slop intercept formula: y = mx + b
Slope of this graph: 4
I hope this helps!
Have a lovely day!
What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2
A.) a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
B.) a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units
C.) a vertical dilation by a factor of 1/3 and a vertical shift down 2 units
D.) a vertical dilation by a factor of 3 and a vertical shift down 2 units
Answers
Answer:
D) A vertical dilation by a factor of 3 and a vertical shift down 2 unitsStep-by-step explanation:
Given
f(x)=10^xg(x)=3(10)^x - 2We see that:
g(x) = 3f(x) - 2This is a vertical stretch by a factor of 3 and translation down 2 units
Correct choice is D
may someone please help me out
Answers
C. 700 units.
The formula for the surface area of a rectangular prism is: 2 ((Width × Length) + (Height × Length) + (Height × Width))
(14 × 12) + (7 × 12) + (7 × 14)
168 + 84 + 98 = 350
Now do 350 × 2 = 700
700 units squared.
What value is a discontinuity of
(x2 + 3x -4)/(x2 + x -12)?
Answers
Answer:
x=-4 , x=3
Step-by-step explanation:
just did it on math-ways
Which of the binomials below is a factor of this trinomial?
6x2 - 7x-5
A. 2x + 1
B. X+ 1
C. X-1
D. 2x-1
Answers
3 of 10 fish in the pond had spots. If there are 300 total fish, how many have spots?
Answers
Answer:
90 fish have spots
Step-by-step explanation:
cross multiply and divide:
3 x 300 = 900
900 ÷ 10 = 90
Answer:90
Step-by-step explanation:
3/10 = x/300
cross multiply
10x= 900
divide by 10
x= 90
3/8 x (1 - 1/3) (don’t answer the equation write the equation in word form)
Answers
Answer:
three-eighths multiplied by the difference of one and one-third.
Step-by-step explanation:
Convert equation to words
3/8 = three-eighths
x = multiplied
1 - 1/3 = difference of one and 1/3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Over the last three evenings, Lena received a total of 111 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?
Answers
Answer:
Lena famous or sum y she getting sm calls?!
Step-by-step explanation:
what is the solution to 1< 25-4x<19?
Answers
Hope you have a good day
determine algebraically the zeros of f(x)=4x^3+32^2-36x
Answers
Answer:
x = 8
x = 1
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
(22x2 - 36x) + 32 = 0
STEP 2:
STEP 3: Pulling out like terms
3.1 Pull out like factors :
4x2 - 36x + 32 = 4 • (x2 - 9x + 8)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 9x + 8
The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 1 • 8 = 8
Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is -9 .
-8 + -1 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -1
x2 - 8x - 1x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-8)
Add up the last 2 terms, pulling out common factors :
1 • (x-8)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-8)
Which is the desired factorization
Equation at the end of step
3
:
4 • (x - 1) • (x - 8) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Equations which are never true:
4.2 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Solving a Single Variable Equation:
4.4 Solve : x-8 = 0
Add 8 to both sides of the equation :
x = 8
Supplement : Solving Quadratic Equation Directly
Solving x2-9x+8 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = x2-9x+8
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 4.5000
Plugging into the parabola formula 4.5000 for x we can calculate the y -coordinate :
y = 1.0 * 4.50 * 4.50 - 9.0 * 4.50 + 8.0
or y = -12.250
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-9x+8
Axis of Symmetry (dashed) {x}={ 4.50}
Vertex at {x,y} = { 4.50,-12.25}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 8.00, 0.00}
Solve Quadratic Equation by Completing The Square
5.2 Solving x2-9x+8 = 0 by Completing The Square .
Subtract 8 from both side of the equation :
x2-9x = -8
Now the clever bit: Take the coefficient of x , which is 9 , divide by two, giving 9/2 , and finally square it giving 81/4
Add 81/4 to both sides of the equation :
On the right hand side we have :
-8 + 81/4 or, (-8/1)+(81/4)
The common denominator of the two fractions is 4 Adding (-32/4)+(81/4) gives 49/4
So adding to both sides we finally get :
x2-9x+(81/4) = 49/4
Adding 81/4 has completed the left hand side into a perfect square :
x2-9x+(81/4) =
(x-(9/2)) • (x-(9/2)) =
(x-(9/2))2
Things which are equal to the same thing are also equal to one another. Since
x2-9x+(81/4) = 49/4 and
x2-9x+(81/4) = (x-(9/2))2
then, according to the law of transitivity,
(x-(9/2))2 = 49/4
We'll refer to this Equation as Eq. #5.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-(9/2))2 is
(x-(9/2))2/2 =
(x-(9/2))1 =
x-(9/2)
Now, applying the Square Root Principle to Eq. #5.2.1 we get:
x-(9/2) = √ 49/4
Add 9/2 to both sides to obtain:
x = 9/2 + √ 49/4
Since a square root has two values, one positive and the other negative
x2 - 9x + 8 = 0
has two solutions:
x = 9/2 + √ 49/4
or
x = 9/2 - √ 49/4
Note that √ 49/4 can be written as
√ 49 / √ 4 which is 7 / 2
Solve Quadratic Equation using the Quadratic Formula
5.3 Solving x2-9x+8 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -9
C = 8
Accordingly, B2 - 4AC =
81 - 32 =
49
Applying the quadratic formula :
9 ± √ 49
x = —————
2
Can √ 49 be simplified ?
Yes! The prime factorization of 49 is
7•7
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 49 = √ 7•7 =
± 7 • √ 1 =
± 7
So now we are looking at:
x = ( 9 ± 7) / 2
Two real solutions:
x =(9+√49)/2=(9+7)/2= 8.000
or:
x =(9-√49)/2=(9-7)/2= 1.000
Two solutions were found :
x = 8
x = 1
The point A has coordinates (-5,6) What point do we get when we reflect point A across the x-axis?
Answers
Answer:
(-5,-6)
Step-by-step explanation:
smart
Explain how you can check whether a number is written correctly in scientific notation.
Answers
Scientific notation review
A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.
If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...
Let's write 604 , 000 604{,}000 604,000 in scientific notation.
It’s the new update
Please I need help! I need to find the Cosine of A
Answers
Answer:
cos A = 12/13 = 0.9231
(angle A = 22.62°)
Step-by-step explanation:
cos A = 12/13 = 0.9231
ANSWER=
cos A = 12/13 = 0.9231
(angle A = 22.62°)
EXPLANTION=
cos A = 12/13 = 0.9231
A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25
Answers
Answer: The Answer is D.) 16/25
Step-by-step explanation: I got it correct on Study Island
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4
Answers
Answer:
y = 3/4x - 8/3
Step-by-step explanation:
y = 3/4x + b
1/3 = 3/4(4) + b
1/3 = 3 + b
-8/3 = b
y = 3/4x - 8/3
A bakery sells cakes, cookies, and pastries. They wonder if customers are equally likely to buy each product
They take a sample of 200 recent purchases and record what was purchased (they are willing to treat this as
a random sample). Here are the results:
Product
Observed purchases
Cakes
65
Cookies Pastries
68
67
They want to perform a x' goodness-of-fit test to determine if these results suggest that one type of
product is more popular than the others.
What is the expected count of cake purchases?
You may round your answer to the nearest hundredth.
Expected:
Answers
Answer: The expected count of cake purchases is 66.67 (rounded to the hundreths).
Step-by-step explanation: Hypothesis the bakery is trying to find is if customers are equally likely to buy each product and since the sample is 200, we would have to equally split that between the 3 categories, so the expected counts for Cakes, cookies, and pastries would all be 66.67 (rounded to the hundreths).
The expected count of cake purchases would be 66.67 (rounded to the hundredths).
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The results are given as:
Product Observed purchases
Cakes 65
Cookies 68
Pastries 67
To find if customers are equally likely to buy each product and since the sample is 200,
we would have to equally split that between the 3 categories,
The expected count of cake purchases = 200/3
= 66.67
Thus, the expected counts for Cakes, cookies, and pastries would be 66.67 (rounded to the hundredths).
Learn more about the unitary method;
https://brainly.com/question/23423168
HELPP ASAP IS PLEASEEE DONT SEND A FILE AT ALL STEP BY STEP EXPLANATION
Answers
Answer:
x + 6 y - 4
Step-by-step explanation:
A moved 6 units to the right so plus 6 then moved 4 units down so minus 4
Find the value of x. Write your answer in simplest form.
2.
Х
Х
X=
Answers
Answer:
x=44
Step-by-step explanation:
since it's a 90 degree triangle
2x+2=90
2x=88
x=44
Simply your answer: 9 x 5/9
Answers
Answer:
5
Step-by-step explanation:
Cancel the common factor of 9
Answer:
5
Step-by-step explanation:
Simplify 9 × 5/9
=5
have a great day
Bradley had 25 baseball cards in his collection. He receives x number of baseball cards for his birthday.
Enter an equation that represents the total number of baseball cards, y, Bradley now has in his collection.
Answers
Answer:
25 + x = y
Step-by-step explanation:
He gets x(unknown amount of cards) so add that, and the total will equal y.
What is the midpoint of AB need help?
Answers
Answer:
(0,0)
Step-by-step explanation:
The midpoint is (0,0) because as you can see in the graph the middle would be (0,0). However, if point A moved even one step further or closer the midpoint will also shift
Solve the solution by substitution.
Y= —5x + 13
-6x + 6y = 6
Show/ explain your work
Answers
Answer:
the solution is (2, 3)
Step-by-step explanation:
Make this work easier by reducing the second equation:
-x + y = 1, or y = x + 1
Substititing x + 1 for y in the first equation, we get:
x + 1 = -5x + 13, or (after combining like terms):
6x = 12
Then x = 2, and bercause y = x + 1 (see above), y = 2 + 1 = 3
Then the solution is (2, 3)
what's the answer to 7n - 7 = 1 +8n
Answers
Answer:
N = -8
Hope this helps!
Mark me brainliest if I'm right :)
Can someone help me I don't know what n represents
Answers
Answer:
n=7
Step-by-step explanation:
6(n-3) - 2n=10
Distribute
6n - 18 -2n = 10
Combine like terms
4n -18 = 10
Add 18 to each side
4n-18+18 = 10+18
4n = 28
Divide by 4
4n/4 = 28/4
n = 7
Please help me with this question
Answers
Answer:
2377 10^3
hope this helped
Step-by-step explanation:
Which is greater 52.708 or 52.078
Answers
Answer:
52.708
Explanation:
It's 708 instead of 78 even rounded 52.708 would be more.
Answer:
52.708 is greater then 52.078
Step-by-step explanation:
Thats the answer!! Hope I could help u!! :)