Answer the question given the following functions,
f (x) = -2x + 5
g(x) = 7x – 11
-
h(x) = = -42 – 13
What is the value of g (8)?
Type your answer...
Answers
Answer:
g(8) = 45
Step-by-step explanation:
substitute x = 8 into g(x) , that is
g(8) = 7(8) - 11 = 56 - 11 = 45
Related Questions
The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.
Answers
Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D : [tex]3x + 2[/tex]
How to factorize a polynomial?Let the polynomial A(x) has one factor f(x).
Then, it means, we have:
[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]
Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]
Thus, the other factor of that polynomial is
[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]
For given case, the polynomial [tex]A(x)[/tex] is
[tex]A(x) = 6x^2 - 7x + 2[/tex]
Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]
Thus, its second factor is obtained as:
[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]
Thus, the second factor of the given polynomial is
Option D : [tex]3x + 2[/tex]
Learn more about factors of polynomials here:
https://brainly.com/question/16078564
9.41 x 4.8 with the work pls .
Answers
Answer: 45.168
Step-by-step explanation: First find 941 x 48 = 45168 then put the decimal point at the thrid digit as the decimal in 9.41 is in the 2nd digit and 1st in 4.8 so 2 + 1 = 3 so the answer is 45.168
determine the range of the inverse of F(x)= square root
x-4
Answers
Answer:
y ≥ 4
Step-by-step explanation:
The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.
A farmer bought a goat for Rs 15000 and cow for Rs 35000. if he sold the goat at 10% profit and cow at 20% loss, find his profit or loss percent in whole transaction
Answers
Answer:
After the loss the cow was sold for 28000 and the goat sold for after the 10% profit was 16500
Goat profit was 1500
Cow loss was - 7000 therefore thw total profit was 8000
Algebra 2
Please help!
Answers
Answer:
3x
Step-by-step explanation:
Since k(x)=27x^3, we replace it in h( k(x) ), we will get:
h(27x^3)
Given that h(x)={3}√x [my keyboard doesn't support cubic root]
= {3}√(27x^3)
27 is 3^3,
Simplifying, the final answer is:
3x.
Answer:
3x
Step-by-step explanation:
[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]
determine whether each pair of polygons is similar.
Answers
Answer:
Yes they are similar
Step-by-step explanation:
I hope this helps you have a very nice day
Sun Valley High School is trying to raise money for their band program. Nike and Adidas are both willing to sponsor their 5k walk/run using different financial plans. Nike promises to double the amount of money they contribute every kilometer, and will start with a $4 donation. Adidas promises to start with a $30 donation and will add $10 for every kilometer.
Which statement best describes which plan Sun Valley High School should choose and why?
A) Adidas starts off being the better plan because they contribute more at the start, but Nike ends up giving twice as much money as Adidas.
B) Nike is the better plan because they end up giving more total money since they are doubling.
C) Adidas ends up with a total of $80, but Nike only contributes $64, so Adidas is the better plan.
D) Adidas is the better plan because adding patterns are always better than doubling patterns.
Answers
Answer:
B because the more kilometers that they walk they will give 4 dollars but also double the money they contribute
Step-by-step explanation:
hope this helps if I'm wrong please notify me and I will help
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▉━╯┗━╮
▉┈┈┈┈┃
▉╮┈┈┈┃
╱╰━━━╯
Which two numbers is 28 (square root) between?
A. 5.0 and 5.1
B. 5.2 and 5.3
C. 5.4 and 5.5
D. 5.6 and 5.7
Answers
Answer:
The answer is B.
Step-by-step explanation:
First I multiplied 5.2 x 5.2 and got 27.04. Then I multiplied 5.3 x 5.3 and got 28.09. So the square root of 28 is between 5.2 and 5.3
Hope I helped yo.
Polygon angle sum theorem, solve for many points.
Answers
Answer:540-452=88
x=88
sum of all is always 540 for pentagons
Step-by-step explanation:
PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm
Answers
[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ axy} [/tex]
an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella
Answers
Answer:
Area = 121pi/12
~= 31.66 sq units
Step-by-step explanation:
They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.
Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.
Area of a circle is
A = pi × r^2
Area of one slice is 1/12 of the whole.
A(1 slice)
= 1/12× pi × r^2
See image.
What is the slope of the line on the graph below?
Answers
Answer:
2
Step-by-step explanation:
80% of the astronomy club members own a telescope. If 20 students own a telescope, how many students are in the astronomy club in all?
Answers
Answer:
25 students
Step-by-step explanation:
Let x represent the amount of students in the astronomy club then:
80%x=20
Convert 80% to a fraction. Any percentage is that number over 100:
[tex]\frac{80}{100}x=20[/tex]
Simplify the fraction:
[tex]\frac{8}{10}x=20[/tex]
[tex]\frac{4}{5}x=20[/tex]
Multiply both sides by 5:
[tex]4x=100[/tex]
Divide both sides by 4:
[tex]x=25[/tex]
There are 25 students in the astronomy club.
There are 12 cookies and 4 friends what fraction of the cookies will each friend get?
Answers
Answer:
1/4
Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.
You're welcome! Please mark me as Brainliest >w<
[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp
Answers
Answer:
ok so basically 21
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
31 /150
Decimal Form: 0.206
If you spin the spinner 55 times, what is the best prediction possible for the number of times it will land on pink? (WORTH 30 POINTS)
Answers
Answer:
45 times
Step-by-step explanation:
There are nine pink sections and 11 sections total. The probability of landing on a pink section is 9/11.
Multiply the probability by 55
[tex]\frac{9}{11}[/tex] × [tex]\frac{55}{1}[/tex]
Cancel the 11 and 55. The 11 becomes a 1 and 55 becomes a 5
[tex]\frac{9}{ 1}[/tex] × [tex]\frac{5}{1}[/tex]
45
50 pht helppppppppppppppppppppppppppppppppppppppp pls urgent
Answers
Answer:
$135
Step-by-step explanation:
15-12=3/2=1.5
12+1.5=13.5
13.5*10=135
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]
where a and b are the parallel sides (bases) and h is the height
Therefore,
[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]
If the price of sod is $12 per square metre, then
total cost = 135 x 12 = $1620
what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?
Answers
Answer:
5 ≤ y ≤ 205
Step-by-step explanation:
Input values 0 and 50 for x in the function f(x) - 4x + 5
Solve:
f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205The range is between these two points: 5 ≤ y ≤ 205
-Chetan K
A rectangle has a length of 10 inches its width is 6 inches what is the area of the rectangle?
Answers
Area:-
[tex]\\ \tt\longrightarrow LB[/tex]
[tex]\\ \tt\longrightarrow 10(6)[/tex]
[tex]\\ \tt\longrightarrow 60in^2[/tex]
Answer:
Length of rectangle= 10 inch
Breadth of rectangle= 6 inch
Area of rectangle= L X B
= 10X6
= 60 sq. inch
Please mark as Brainliest
5/6−1/6 Subtract the fractions.
Answers
Answer:
4/6 but its 2/3 simplified.
Step-by-step explanation:
You may subtract the numerator but not the denominator.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15,9, 5/27, ...
Find the 10th term.
Answers
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
A. 32.4
B. 97.2
C. 121.5
D. 162. 1
Answers
Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
A prize of $100, $200, $500, or $1000 will be randomly awarded to a game
show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $500 $1000
Probability
1
1
5
1
5
A. $380
B. $460
C. $400
D. S560
Answers
Answer:
nvm its acctually B. 460
Step-by-step explanation:
just did it
The expected value of the prize that will be awarded is $460.
What is expected value?The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.
here, we have,
to determine the expected value:
The expected value is calculated using:
E(x) = Σx * P(x)
So, we have:
E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2
Evaluate
E(x) = 460
Hence, the expected value of the prize that will be awarded is $460
Read more about expected values at:
brainly.com/question/15858152
#SPJ7
need help with 8 and 9.
Answers
Answer:
8. parallel
9. not parallel
Step-by-step explanation:
Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.
8.We can compare the whole to the short part:
102/45 ?? (41.8 +33)/33
2.266... = 74.8/33 = 2.266...
The sides are proportional, so the segments are parallel.
__
9.We can compare the longer portion to the shorter portion.
38/19 ?? 52/24
2 ≠ 2 1/6
The sides are not proportional, so the segments are not parallel.
_____
Additional comment
Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...
19/24 vs 38/52
19/(19+38) vs 24/(24+52)
or the inverse of these:
24/19 vs 52/39, for example
fine the output when the input is n.
Answers
Step-by-step explanation:
the output is -17 while the input is 5
Hwlsibdsja aka sus ejsnahabah HELP
Answers
Answer:
y = cos(x) -1
Step-by-step explanation:
The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.
y = cos(x) -1
Help me pls look at the image 20 points
Answers
hope this helps!!
Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 StartFraction x cubed Over 2 EndFraction 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x Over 4 EndFraction StartFraction x cubed Over 2 EndFraction 1 1 – 2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction.
Answers
Answer:
the correct answer is B
Step-by-step explanation:
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
Answer:
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 aka B
Step-by-step explanation:
PLSS HELP Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the theoretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability? A) 25 coin tosses B) 35 coin tosses C) 55 coin tosses D) 75 coin tosses
Answers
Answer:
Its A- 25 coin tosses
Step-by-step explanation:
I took the test
Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2
Answers
Step-by-step explanation:
if x = -2
= 9x² - 4x - 3
= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]
= 9 × 4 + 8 - 3
= 36 + 8 - 3
= 44 - 3
= 41
[tex]\huge{\boxed{{ x = -2}}}[/tex]
[tex] 9x² - 4x - 3[/tex]
[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]
[tex]↠ 9×4+8-3[/tex]
[tex]↠ 36 + 8 -3[/tex]
[tex]↠ 44-3[/tex]
[tex]↠ 41[/tex]
[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]