Answer:
f(x) = x² + 8 - 16x
= x² - 16x + 8
= (x² - 16x + 64) - 64 + 8
= (x - 8)² - 56
Answer:
A. f(x) = (x – 8)2 – 56
Step-by-step explanation:
so much for expert verified, huh.. -_-
The coordinates of the vertices of triangle ABC are A(3, 6), B(6, 3), and C(9, 9). If triangle ABC is dilated by (x,y) (x,y) → ( 1 3 x, 1 3 y) (13x, 13y) to create triangle A’B’C’, which set of coordinates represents the vertices of triangle A’B’C’?
Answer:
d on edginuity
Step-by-step explanation:
i know for a fun fact
Nate borrowed $400 to pay for car repairs. If he agreed to repay the loan at a simple annual interest rate of 6%, how much interest will he owe at the end of 2 years?
Answer:
$48
Step-by-step explanation:
$400/24=16
16/6=2
2x24=$48
Answer:
I believe the answer will be $48 dollars
Step-by-step explanation:
Hopefully this helps. see ya later!!!!!
If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1 < c < 4 such that: A) f'(c) = 3 B) f'(c) = 0 C) f(c) = -15 D) f(c) = 3
Answer:
A) f'(c) = 3
Step-by-step explanation:
The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...
a < c < b
f'(c) = (f(b) -f(a))/(b -a)
__
We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...
f'(c) = (12 -(-3))/(4 -(-1)) = 15/5
f'(c) = 3 . . . . for some c in the interval -1 < c < 4
A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving. Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe?
Answer:
The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.
Step-by-step explanation:
We are given that a new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.
Let the amount of sodium per serving, in milligrams, in the new soup recipe be 'y' and the amount of sodium per serving, in milligrams, in the old soup recipe is given to us as 'x'.
So, according to the question, the condition states that;
A new soup recipe contains 33 percent less sodium per serving than the old soup recipe, that means;
[tex]y = x- 33\% \text{ of } x[/tex]
[tex]y = x- \frac{33}{100} \times x[/tex]
[tex]y = \frac{100x - 33x}{100}[/tex]
[tex]y = \frac{67x}{100}[/tex]
y = 0.67x
Hence, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.
factor 49x8−16y14 please answer as quick as possible
Answer:
(4y7+7x4)(−4y7+7x4)
Step by Step:
Factor 49x8−16y14
−16y14+49x8
=(4y7+7x4)(−4y7+7x4)
The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
49x⁸ − 16y¹⁴
As we know the polynomial identity:
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
a² - b² = (a - b)(a + b)
The expression 49x⁸ − 16y¹⁴ can be written as:
= (7x⁴)² − (4y⁷)²
After using the identity: a² - b² = (a - b)(a + b)
= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)
Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
Learn more about the expression here:
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What is the sum of the exterior angles of a
14-gon?
Answer:
360 degrees
Step-by-step explanation:
The sum of all exterior angles in any convex polygon is 360 degrees.
Answer:
360 degrees.
Step-by-step explanation:
The sum of exterior angles of every polygon is 360 degrees so the What is the sum of the exterior angles of a 14-gon is also equal to 360 degrees.
Can any one please help me I really need help please help me please help me thank you
Answer:
Step-by-step explanation:
a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x
b)1030000*(0.13*200)=26780000
there are two different power : power and exponent
exponent : 5⋅5⋅5=5^3
power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4
"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x
i hope it helps
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 51.0 minutes.
Answer:
0.15 or 15%
Step-by-step explanation:
Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:
[tex]P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}[/tex]
In this case, a = 47.0 and b = 52.0 minutes.
The probability that a given class period runs between 50.25 and 51.0 minutes is:
[tex]P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%[/tex]
The probability is 0.15 or 15%.
The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.
Answer:
y = - 9.1768x2 + 122.2567x + 14.9091
Step-by-step explanation:
Given the following :
Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195
Using the online regression equation graphing tool ; The quadratic model obtained in the form,
y = Ax^2 + Bx + C is :
y = - 9.1768x2 + 122.2567x + 14.9091
Attached below is a picture of the quadratic regression curve.
Two points A (-2, 9) and B (4, 8) lie on a line l.Find the distance between points A and B.
Answer:
[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)
d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]
= [tex]\sqrt{6^2+(-1)^2}[/tex]
= [tex]\sqrt{36+1}[/tex]
= [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )
what is the equation of the graph that represents the parent function f(x)=x^4 stretched vertically by a factor of 2, and then shifted left 3 spaces
Answer:
f(x) = 2(x+3)^4
Step-by-step explanation:
I graphed the functions on the graph below so you can see how I got my answer.
Answer:
g(x)=2x^4+3
Step-by-step explanation:
WILL MARK BRAINLIEST ANSWER ASAP
Answer:
1. 1/3 and -6/1,-3/1
2. -4 and -4h+20
3.-6/1 and 2-6/1j
plz mark brainliest
you told you would
Which expression will help you find the area of the triangular bases?
Answer:
C
Step-by-step explanation:
1÷2×8×3=12
Answer:
The two sides of the triangle are equal so by the property that : If opposite sides of a triangle are equal then the opposite angles are also equal .
Area of triangle = 1/2 multiplied by base and also multiplied by height
A =1/2*b*h
So, we can conclude that the opposite angles are 90 + 90 degrees = 180 degrees (as the angles are equal)
Therefore, c)1/2 *8*3 is right
In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.
Answer: 10 rows
Step-by-step explanation:
Given:
Seats on each row = 199.
Population of student attending = 1990.
no of students from same school = 39.
Therefore;
If the students from same school must seat in same row determine the number of rows that most be reserved for these students.
1. At most 39 students from same school
= total population of all students/ students from same school
= 1990 / 39
= 51 schools would be attending the event
2. No of students a row can accommodate
= Seats on each row / no of students from each school
= 199/39
= 5
3. No of rows to that most be reserved
= 51 / 5
= 10
So 10 rows must be reserved.
Help with math pls...
Answer: Option C
Step-by-step explanation: When we count all bases of the squares present
in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.
Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)
Answer:
(2, -2) are the coordinates of the point which divides BA into ration 2:4.
Step-by-step explanation:
The given two co-ordinates of A are (-2, 6) and B is (4, -6).
Let P be the point that divides the line BA into ratio 2:4.
to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where (x,y) is the co-ordinate of the point P which
divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.
Please refer to the attached image.
As per the given values :
[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]
Putting the given values in above formula :
x-co-ordinate of P:
[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]
y-co-ordinate of P :
[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]
So, answer is P(2, -2).
What is the measure of angle N in parallelogram LMNO? *
20
30
40
50
Answer:
∠ N = 40°
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, thus
∠ L = ∠ N , substitute values
3x - 20 = 2x ( subtract 2x from both sides )
x - 20 = 0 ( add 20 to both sides )
x = 20
Thus
∠ N = 2x = 2(20) = 40°
From the given quadrilateral, the value of angle N is 40°
Data;
N = 2xL= 3x - 20Opposite Angles in a ParallelogramOpposite angles in a parallelogram are equal to each other.
[tex]N = L\\2x = 3x - 20\\3x- 2x = 20\\x = 20[/tex]
The value of x is equal to 20.
Let's substitute that into N
[tex]N = 2x \\N = 2(20)\\N = 40^0[/tex]
The value of angle N is 40°
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hey mate answer te question please
Answer:
7 [tex]\frac{37}{55}[/tex]
Step-by-step explanation:
In order to solve an equation like this, you'll need to find a common denominator for your Fraction.
7 [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{11}[/tex]
7 [tex]\frac{22}{55}[/tex] + [tex]\frac{15}{55}[/tex]
7 [tex]\frac{37}{55}[/tex]
Adita has two options for how to invest $1,000. Plan A: Put the $1,000 in an account that pays $100 per year. Plan B: Put the $1,000 in an account that pays 5 percent interest per year. Which statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth the same amount as plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
The correct answer is Plan A will be worth more than plan B after two years.
Step-by-step explanation:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Plan A will be worth more than plan B after two years.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, WE get;
For Plan A,
1000 dollars to be invested in an account that pays 100 dollars per year.
Hence, We get;
(1000 + 100 = 1100 dollars in a year
For Plan B;
1000 dollars to be invested in an account that pays 5% interests per year
So, WE get;
(1000 x 0.05 = 50
Hence, Total in a year,
= 1000 + 50
= 1050 dollars per year)
Thus, the correct answer is,
⇒ Plan A will be worth more than plan B after two years.
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Write the equation of a circle with a center at (-2, 1) and passes through
the point (0, 2).
Answer:
[tex](x+2)^2} +(y-1)^2}=5[/tex]
Step-by-step explanation:
[tex](x-h)^2} +(y-k)^2}=r^2[/tex]
r=[tex]\sqrt{5}[/tex]
h=-2
k=1
Plug in
[tex](x+2)^2} +(y-1)^2}=5[/tex]
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its label price is reduced by 20%. Again after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000. Find the value of x
Answer:
x = Rs 20,833.33
the value of x is Rs 20,833.33
Step-by-step explanation:
Let x,y and z represent the price of the item initially, after one month and after two months respectively.
Given that;
after one month its label price is reduced by 20%
y = x - 20% of x
y = x - 0.20x
y = 0.80x ........1
after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.
z = y - 10% of y
z = y - 0.10y
z = 0.90y ........2
Substituting equation 1 into 2;
z = 0.90(0.80x)
z = 0.72x
Also z = Rs 15000
So,
z = 0.72x = Rs 15000
0.72x = Rs 15000
x = Rs 15000/0.72
x = Rs 20833.33333333
x = Rs 20,833.33
the value of x is Rs 20,833.33
evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)
Answer:
f(-3) = 16
Step-by-step explanation:
You substitute -3 to x.
f(-3) = 2(-3)² - 5(-3) - 17
f(-3) = 16.
As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).
Answer:
16
Step-by-step explanation:
2x² - 5x - 17
Put x as -3 and solve.
2(-3)² - 5(-3) - 17
2(9) - (-15) - 17
18 + 15 - 17
= 16
can someone please help me? ASAP
Answer:
A
Step-by-step explanation:
3^5 x 3^4
=3^5 + 4
=3^9
so the answer is option A
HELP ASAP PLEASE!! BRAINLIEST!!!
Answer:
y = -4x + 11
D is correct
Step-by-step explanation:
Write in slope - intercept form, y = mx + b.
Hope this helps :)
Answer:
D, y=-4x+11
Step-by-step explanation:
To find the correct one, you first need to make sure you know the slope, you do this by using this formula
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
-9-19/5--2 you get
-28/7 which simplifies to
-4
We now know the slope is -4 so it has to be A, C or D
To find the y-intercept, I use an online site called desmos.
Hope this helps, if you have any questions, feel free to ask.
Have a good day! :)
round the number 2.72603 to 2 decimal places
Answer:
2.73
Step-by-step explanation:
2.72(6)03
use 6= 2.73
Check all that apply please!
Answer:
C. Scalene
F. Obtuse
Step-by-step explanation:
The triangle is scalene because all 3 sides are different lengths.
The triangle is obtuse because 1 angle is bigger than 90° (132°).
Answer:
scalene
obtuse
Step-by-step explanation:
All the sides are different length, so it is a scalene triangle
The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse
Please answer this in two minutes
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°
what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10
Answer:
[tex]x = 2, 12[/tex]
Your correct answer is D, since I don't see a -12.
Step 1: Subtracting 2 from both sides
Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.
[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]
Step 2: Factoring the equation
Part 1
After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:
[tex]x^2-10x-24\\[/tex]
First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):
[tex]-6 * 4=-24\\[/tex]
But:
[tex]4-6\neq 10\\[/tex]
So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.
[tex]-12*2=-24\\2-12=-10[/tex]
Part 2
With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.
[tex](x,?)(x,?)[/tex]
Now, we place -12 and 2 in those places.
[tex](x,-12)(x,2)[/tex]
To find x, we have to plug in the equal sign and 0 from the beginning.
[tex](x,-12)(x,2)=0[/tex]
Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.
To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.
x - 12 = 0
12 - 12 = 0
x - 2 = 0
2 - 2 = 0
12 and 2 are our solutions! Hope this helps :)
Answer:
12 and 2
Step-by-step explanation:
factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2
The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers.
Answer:
The numbers at 13 and 13
Step-by-step explanation:
The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.
The two numbers are (13, 13).
Given that,
The sum of the two numbers is 26.
And the sum of their square is minimum.
We have to determine,
The two numbers are.
According to the question,
Let, the first number be x,
and the second number be y.
The sum of the two numbers is 26.
[tex]x + y = 26[/tex]
And The sum of their squares is a minimum.
[tex]x^2 + y^2 = h[/tex]
Solving both the equation,
[tex]x + y = 26\\\\x = 26-y[/tex]
Substitute the value of x in equation 2,
[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]
Then, The vertex of the parabola is,
[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]
The minimum value of the parabola is 13, which is also the sum of squares.
Therefore, The two number is x = 13 and y =13.
To know more about Parabola click the link given below.
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I need some help on this
Answer: The answer is B
Step-by-step explanation:
Answer:
Option B is correct
Step-by-step explanation:
cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2
=> Option B is correct