Answer:
(-8,-10)
Step-by-step explanation:
Rewrite (x+8)2(x+8)² as (x+8)(x+8).
f(x)=3((x+8)(x+8))−10
Expand (x+8) (x+8) using the FOIL Method.
Apply the distributive property.
f(x)=3(x(x+8)+8(x+8))−10
Apply the distributive property.
f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
f(x)=3(x2+x⋅8+8x+8⋅8)−10
Move 8 to the left of x.
f(x)=3(x2+8⋅x+8x+8⋅8)−10
Multiply 8 by 8.
f(x)=3(x2+8x+8x+64)−10
Add 8x and 8x.
f(x)=3(x2+16x+64)−10
Apply the distributive property.
f(x)=3x2+3(16x)+3⋅64−10
Simplify.
Multiply 16 by 3.
f(x)=3x2+48x+3⋅64−10
Multiply 3 by 64.
f(x)=3x2+48x+192−10
Subtract 10 from 192.
f(x)=3x2+48x+182
The minimum of a quadratic function occurs at x=[tex]-\frac{b}{2a}[/tex] If a is positive, the minimum value of the function is f ([tex]-\frac{b}{2a}[/tex]).
Substitute in the values of aa and b.
x=−[tex]\frac{48}{2(3)}[/tex]
x=-8
Replace the variable x with −8 in the expression.
f(−8)=3(−8)2+48(−8)+182
Y=-10
Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.
Write an equation of the line with a slope of 0 and y -intercept of 5 .
y =
Answer:
y = 5
Step-by-step explanation:
The equation for a line is y = mx + b, with m representing slope and b representing y-intercept.
This yields an equation y = 0x + 5, or just y = 5 when simplifying.
The five sales people at Southwest Appliances
earned commissions last year of $20,000, $35,000 $40,000,
$18,000, and $32,000. Find the mean commission.
arc GT = 18 degrees, arc TA =32 degrees, arc NA =112 degrees, arc IN = 74 degrees. find measure of angle GET
Answer:
Step-by-step explanation:
Can anyone help please?
Answer:
1)8293
2)8378
srry thts all i could answer :/
Step-by-step explanation:
The population of Augusta, WI, had a population of 1253 in 2000. If the population increased by 3% each year, what would be the population of Augusta in 2016? 2611 2010 1854 601
Answer:
2010
Step-by-step explanation:
Question 9 need help with
Find P(A') given that P(A) = 0.05
Answer:
0.95
Step-by-step explanation:
P(A') = 1 - P(A) = 1 - 0.05 = 0.95
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t
Find the theoretical and practical domains of the equation.
Select ALL correct answers.
Question 4 options:
The practical domain is all real numbers.
The theoretical domain is all real numbers.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.
The practical domain is all real numbers greater than or equal to one and less than or equal to two.
B is true; pi= ~3.14. 3+4 is equal to 7, so because pi is greater than 3, pi+4>7
17) What happens to a vertical line if you rotate it 90 degrees clockwise?
A) The image is a ray that points to the left
B) The image line is 90 times as long
C) The image is a vertical line
D) The image is a horizontal line
Answer:
d
Step-by-step explanation:
rotating vertical 90degrees will be horsontal and vice versa
find the domain and range there a picture
explain
Answer:
Below.
Step-by-step explanation:
The Domain is All Real x.
The minimum value of f(x) is -9, so:
the range is f(x) ≥ -9.
The number 56 represents the number of
Answer:
56 is: The sum of the first six triangular numbers (making it a tetrahedral number). The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. The sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17)
Step-by-step explanation:
hope this helps:) mark me brainliest if you want !!
pls help its due today
Answer:
My reasonable answer would be that it was a translation and then dilation
Step-by-step explanation:
There are seven cows in a pasture and five of those cows are red. What
fraction of the cows are red?
Answer:
5/7
Step-by-step explanation:
Since we have 7 cows in total our denominator would be 7 for now. 5 of the cows are red, so 5/7. Since we can't simplify 5/7 that is our final answer.
Hope this helps!!
What is the probability that if a coin lands on heads and the number cube shows 5
Answer:
Not sure
Step-by-step explanation:
Well I’m just guessing these numbers but…
For the coin it is one minus the probability of the coin landing on tails minus the tiny probability of the coin landing on its edge and balancing there. So something like (1 - 0.499 999 5 - 0.000 001), or 0.499 995; call it as near 0.5 as makes no difference.
For the number cube it is one minus the probability of the cube landing on one, three or five minus the tiny probability of the coin landing on an edge or the even tinier probability of it landing on a corner and balancing there. So something like (1 - 3 * 0.166 666 - 12 * 0.000 000 36 - 8 * 0.000 000 08) , or 0.499 998; call it as near 0.5 as makes no difference.
So the joint probability is the first probability times the second. So 0.5 * 0.5 which is 0.25 for all intents and purposes
(copied from Quora)
Write the standard form equation of each circle.
Center: (-11, -8) Radius: 4
Center: (-6, -15) Radius: square root of 5
Answer:
(x+11)^2 + (y+8)^2 = 4^2/16
(x+6)^2 + (y+15)^2 = 5
Step-by-step explanation:
the standard equation of a circle is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
in the first equation -11 is h and -8 is k
so (x+11)^2 because when you subtract a negative the double negative creates a positive and that’s the same for (y+8)^2
so (x+11)^2 + (y+8)^2 = 4^2 or 16
in the second equations -6 is h and -15 is k
and the double negative is also effective in this equation so (x+6)^2 and (y+15)^2 therefore, (x+6)^2 + (y+15)^2 = 5 (the square root of 5 squared is just 5)
hope this helps :)
Isabella notices that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour
she studies, on average she scores an additional 7 points. Which of the following represents G, her average test score when
she studies for h hours?
OA 7+45h=G
OB. 7-45h= G
OC 45 - 7h=G
OD. 45 + 7h= G
what is BOC? please help me!
OA, OB, and OC are all radii of the circle so they have the same length, 12 in. ∆ AOB is therefore isosceles, so the angles at the vertices A and B are congruent. The interior angles of any triangle sum to 180° in measure, so
30° + 2 m∠A = 180° ⇒ m∠A = 75°
Draw an altitude in ∆ AOB that connects the vertex O to the midpoint of AB; this is the height h of ∆ AOB and bisects ∆ AOB into two 15°-75°-90° right triangles. Solve for h and the length of the base AB using trigonometry:
sin(15°) = (AB/2) / (12 in) ⇒ AB = (24 in) sin(15°) ≈ 6.212 in
sin(75°) = h / (12 in) ⇒ h = (12 in) sin(75°) ≈ 11.591 in
Then the area of ∆ AOB is
1/2 (AB) h = (144 in²) sin(15°) sin(75°)
= (72 in²) (cos(60°) - cos(90°))
= 36 in²
where we use the identity
sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))
Let m∠BOC = θ. Then
(area of sector BOC) / θ = (area of ⊙O) / 360°
Solve for θ :
θ = (area of sector BOC) / (area of ⊙O) • 360°
θ = (36 in²) / (π (12 in)²) • 360°
θ = (90/π)° ≈ 28.648°
Opal is buying chocolates and flowers for valentine's day. She pays $15 for each bouquet and $5.80 for each box of chocolates. Her total bill comes out to $218.20 and she bought a total of 17 items. How bouquets and how many boxes of chocolates did she buy?
What is the area of the polygon?
Answer:
The answer is 34 m^2
Step-by-step explanation:
Well, we can divide the Polygon into pieces and solve the area for each piece.
There will be a rectangle and a trapezoid.
Area of Rectangle: Area = Length * Width
Area = Length * Width
Area = 6 m * 3 m = 18 m^2
Area of a Trapezoid: Area = [tex]\frac{h*(b1+b2)}{2}[/tex]
[tex]A=\frac{h*(b1+b2)}{2}\\A=\frac{4*(6+2)}{2}\\A=\frac{4*8}{2} \\A=\frac{32}{2} \\A=16 m^2[/tex]
Total Area = 16 m^2 + 18 m^2 = 34 m^2
What is the measure of angle z in this figure?
Enter your answer in the box.
z =
°
Answer:
z = 137°
Step-by-step explanation:
[tex]z^{o} =(180-43)^{o} =137^{o}[/tex]
Hope this helps
which function is graphed?
Answer:
The answer is C
Step-by-step explanation:
the left graph end in x<2 and the right one in x≥2
Please help!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answer: A
Step-by-step explanation:
Someone please help me I don’t understand this
Answer:
huh
Step-by-step explanation:
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
-4, 12, -36, 108, -324, …
My answer below?
12, - 4 = 8
4 -12= -8 (neither)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the ratio between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]
[tex] \sf{ \dfrac{12}{-4} = -3} [/tex][tex] \sf{ \dfrac{-36}{12} = -3} [/tex][tex] \textsf{Since the common ratio is same, } [/tex] [tex] \textsf{we can infer that it's a geometric progression} [/tex] [tex] \textsf{with common ratio of -3} [/tex]
Answer:
okay
Step-by-step explanation:
[tex]for arithmetic \: progression \: there \: must \: be \: a \: common \: difference \\ \\ to \: get \: common \: difference \: {d} \: \\ get \: the \: the \: term \: infront \: minus \: the \: term \: before \\ say \: d = 12 - ( - 4) = 16 \\ d = - 36 - 12 = - 48 \\ d = 108 - ( - 36) = 144 \\ since \: d \: isnt \: uniform \: this \: is \: not \: arithmetic \: progression \\ \\ for \: geometric \: progression \: there \: must \: be \: a \: common \: ratio \: {r} \\ r \: is \: got \: by \: dividing \: the \: term \: infront \: by \: the \: term \: behind \\ \\ say \: r = 12 \div ( - 4) = - 3 \\ r = ( - 36) \div 12 = - 3 \\ r = 108 \div ( - 36) = - 3 \\ since \: r \: is \: the \: same \: this \: is \: a \: geometric \: serie[/tex]
A second function h is defined by h(x) = -3x + 8,
Select the correct phrase in the drop-down menus below to complete the sentence.
The second function is a linear function
The second function has a slope of -3 and a y-intercept of 8
How to interpret the function?The function is given as:
h(x) = -3x + 8
The above function is a linear function.
A linear function is represented as:
y = mx + b
Where:
m represents the slope and b represents the y-intercept
By comparison, we have:
m = -3 and b = 8
Hence, the second function has a slope of -3 and a y-intercept of 8
Read more about linear functions at:
https://brainly.com/question/14323743
A researcher decides to split scores on an exam into quartiles. She determines that a score of 64 is at the 25th percentile, a score of 74 is at the 50th percentile, and a score of 80 is at the 75th percentile. What is the interquartile range (IQR) for these data
Answer: IQR = 16
Step-by-step explanation:
The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.
percentage : 25 50 75
score : 64 74 80
Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is odd, then the median is observation
term
If the number of observations is even, then the median is observation and observations.
given n=3, middle term is '74'
In this given data the median is (M) = 74
Interquartile range IQR = median of upper half-median of lower half
= 80-64
= 16
IQR = 16
Please help it’s algebra polynomials. 10 points
Answer:
(x+2)(7x+2)
Step-by-step explanation:
[tex]7x^{2} +16x+4\\\\7x^{2} +2x+14x+4\\\\\\x(7x+2)+2(7x+2)\\\\\\(x+2)(7x+2)[/tex]
solve for x x + 21 = -2x
Answer
-7
Step-by-step explanation:
x + 21 = -2 x
-x -x
21 = -3 x
--- -----
-3 -3
-7 = x
im SUPER confused who's Candice?
Answer:
Whoes Joe?
Step-by-step explanation:
???help????????imfailing
Answer:
Hi nice girl follow me I love you