The standard form of the function is [tex]4x^2+48x + 149[/tex]
The standard form of an equationThe standard quadratic equation is expressed as:
[tex]y = ax^2 + bx + c[/tex]Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]
Expand the expression:
[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]
Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]
Learn more on standard form here: https://brainly.com/question/19169731
if 1/3 of a gallon of paint covers 1/8 how much paint is needed to cover the entire wall
Answer:
4 gallons
Step-by-step explanation:
Write the product as a power.
18 x 18 x 18 x 18 =
Answer:
[tex]18^{4}[/tex]
Step-by-step explanation:
You multiply it by itself 4 times, therefore being 18 to the power of 4
Answer:
[tex]18^{4}[/tex]
Step-by-step explanation:
A power is simply how many times a number is multiplied by itself. Since the question is 18 multiplied by itself four times (count the number of 18s), the power is 4.
Multiply.
3 1/2 times 2 2/3
Answer:
Step-by-step explanation:
Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct ?
Answer:
Incorrect
Step-by-step explanation:
Average rate of change is
(65 - 67) / (5:00 - 1:00) = -½°/hr
What is a common denominator for 1 3/4 and 1 4/5
Answer:
20
Step-by-step explanation:
A common denominator is a number that is a multiple of both denominators.
To find it just write the multiplication table of the numbers and find a number that appears in both of them.
In this case, we have 4 and 5:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.
[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]
When you are multiplying like bases with exponents, you will also multiply the exponents together and leave the same base in your solution.
TRUE or FALSE?
come on now
[tex]\underset{\textit{like-bases with exponents}}{5^{11}\cdot 5^3\cdot 5^{17}}\implies \stackrel{\textit{add the exponents}}{\underset{\textit{keep the base}}{5^{11+3+17}}}\implies 5^{31}[/tex]
Calculations with Percent - Item 35698
Question 7
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Complete the model.
25%
75%
Number of baskets with 12 piece of
fruit:
Number of baskets with 15 pieces of fruit:
60 fruit baskets
The number of baskets with 12 piece of fruit is 15.
The number of baskets with 15 pieces of fruit is 45.
Percentage is the fraction out of a number expressed as a number out of hundred. The sign used to represent percentages is %.
In order to determine the number of baskets that have 12 pieces of fruits and 15 pieces of fruits, multiply the given percentages by the total number of fruit baskets.
Number of baskets with 12 piece of fruit: 25% x 60 = 0.25 x 60 = 15
Number of baskets with 15 pieces of fruit: 75% x 60 = 0.75 x 60 = 45
To learn more about percentages, please check: https://brainly.com/question/92258
Find the equation of the line passing through the points 7,2 and 9,1
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
help plz LCM/GCF plz help with 2, 4, and 5 show your work for brainliest
THIS IS WORTH 100 POINTS!!!
Answer:
2. 60
4. 6
5. 3
Step-by-step explanation:
These questions are all asking for the GCF, which is the greatest common factor, or the largest number that can be divided into all of the numbers.
ex. for 2, the question is basically asking for the GCF between 12 and 15
we see that 12 = 3x4, 15 = 3x5, so from here we see that 3 is the GCF.
PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
B.
Step-by-step explanation:
factored form actually contains the x intercepts right in it. Basically whatever sets the whole equation equal to zero.
On the graph you can see that it passes through both positive and negative 4. so (x+4)(x-4) is the answer because plugging in 4 for x will make it zero. Same for plugging in negative 4
Hope this helps!
Suzanne correctly answered 32 of the 40 questions on her math test
What decimal is equivalent to the fraction of questions Suzanne answered correctly?
Enter your answer in the box.
Answer:
Step-by-step explanation: 50 million
the sum of any 2 intergers is either postive or negative. true or false
Answer:
True.
Hope this helps.
I NEED HELP PLSSSSSS
Answer:
130 is the answer I Think
43 is 18% of what number?
Answer:
238.888888889
Step-by-step explanation:
Divide 43 by 18, then multiply by 100
Which is the best estimate of the distance between the point (–25, 10) and the origin? 8 units 15 units 23 units 27 units
Answer:
27 units
Step-by-step explanation:
I don't think that diagonals count so I think it is 27 units.
Tell me if I'm wrong :)
Please help with give branniest!!
(11/44)^ 3 = 11^3/14^3 = 1331/2744 = 0.48505
Round the answer as needed.
Two decimal for 2597.58333
Answer:
2597. 58000 and this is the ans
Choose the end behavior of the graph of each polynomial function
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
__
A) negative leading coefficient, even degree:
falls to the left, falls to the right (D)__
B) positive leading coefficient, odd degree:
falls to the left, rises to the right (A)__
C) negative leading coefficient, odd degree
rises to the left, falls to the right (B)How much is f(x) = 3(4)x
Answer:
f ( x ) = 12 x
Step-by-step explanation: 3x4=12 so that makes it f(x)=12x
Which
graph shows the solution to the
system of linear inequalities?
y > 2/3x + 3
y < - 1/3x + 2
-
Answer:there is no graphs
Step-by-step explanation:
poop
Please help asap thank you!!
Answer:
No
yes
No
Step-by-step explanation:
yes it is a scalene triangle
the area of the triangle is 28.5
Maria wrote her 606 word
essay in 20 1/5 minutes. At
what rate is she typing?
Answer:
29.5
Step-by-step explanation:
Multiply 606 and 20.5 and get 29.5.
3/4 x 2 5/6 ÷ 2 + 34
Answer: 35 1/16
Exact form: 561/16
Explanation:
Simplify the expression ((1/2)^3)^3
Helppp
need help with these two math problems
Answer:
y = (x - 1)(x - 3)
y = (x + 2)^2
Step-by-step explanation:
3)
Has roots at x = {1, 3}
y = (x - 1)(x - 3)
4)
Has double root at x = -2
y = (x + 2)^2
What is the solution to x + 12 = 25?
A. x=13
B. x=12
C. x=37
D. x=24
Answer:
A . x=13 is the solution of this question.
Answer:
x=3
Step-by-step explanation:
subtract 12 from both sides of the equation
x+12=25
x+12-12=25-12
then subtract the numbers
x=13
SUBTRACT the given polynomials : (x + 2) - (8x + 4)
A}7x + 2
B}7x - 2
C}-7x - 2
D}-7x + 2
WELP ;-;
The equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Option C is correct
The given polynomial expression is:
(x + 2) - (8x + 4)
Expand the expression by removing the parenthesis
x + 2 - 8x - 4
Collect like terms
x - 8x + 2 - 4
-7x - 2
Therefore, the equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Learn more on polynomials here:
https://brainly.com/question/16058963
If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
Solve by elimination Solve by elimination or substitution: 4x + 2y = 6 and x - 3y = 5
Step-by-step explanation:
since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :
4x + 2y = 6
- 4x - 12y = 20
-----------------------
0 14y = -14
y = -1
=> e.g. in the second original equation
x - 3×-1 = 5
x + 3 = 5
x = 2
Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?
Answer:
0 hours.
Step-by-step explanation:
He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.