Answers
Answer: [tex]{\boxed{h(x+4)=\frac{9+3x}{8+x}}}[/tex]
Concept:
In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.
Solve:
Given information
[tex]h(x)=\frac{-3+3x}{4+x}[/tex]
Need to find
[tex]h(x+4)[/tex]
Substitute (x + 4) to the position of x
[tex]h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}[/tex]
Distributive property on the numerator
[tex]h(x+4)=\frac{-3+3x+12}{4+(x+4)}[/tex]
Combine like terms
[tex]h(x+4)=\frac{-3+12+3x}{4+4+x}[/tex]
[tex]\boxed{h(x+4)=\frac{9+3x}{8+x}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
Help pls help me with homework
Answers
Answer:
Hi what's the homework? Imma see what i can do :) ill give it a try
Step-by-step explanation:
Work out the missing value in the estimation below.
237 + 462 ~ 200 +
Answers
Answer:
Step-by-step explanation:
237 + 462 ~ 200 + 500 = 700
462 is rounded to hundred. ten's place 6 is there which is ≥ 5. If it is ≥ 5then add 1 to hundred's place.
462 ` 500
What is the effect on the graph of f(x)=|3x−4| when it is replaced by f(x)+3 ?
Answers
2log5−log(x+2)=1−log(2x−1)
Answers
Have a good day:)
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
The slope of the line is .
When the point (7, –4) is used, the point-slope form of the line is .
The slope-intercept form of the line is
Answers
Answer:
point slope form= y+4 = -7/8( x-7 )
slope intercept form y = -7x/8 +17/8
Answer: 1. -7/8 2. y+4=(-7/8)(x-7) 3. y= (-7/8)x + (17/8)
Step-by-step explanation: on EDGE
6 ft
2 ft
5 ft
3 ft
7 ft
Need volume
Answers
Answer:
Volume is 75 ft^3
Step-by-step explanation:
v1=1x1x5 v2=5x7x2
v1=5 v2=35x2
v=5+70
v=75
Compare the numbers 289.4 and 289.400 using >,<, or =
Answers
Answer:
289.4=289.400
Step-by-step explanation:
They're the same it's just that 289.400 has the extra zero's which can make it seem like they're different but they have the same value so they're equal to each other.
A fruit bsaket contains 30 Oranges and Apples. The ratio of apples to oranges is 3 to 2.
What is the ratio of oranges to apples?
Answers
Just switch them around yw
can anyone help me with this? im confused
Answers
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).
Answers
Given,
Length of the arc = l = 37.4 cm
[tex]\small\bold{ Central \: angle = θ = 60° = \frac{60π}{180} radian = \frac{π}{3} radians}[/tex]
We know that,
[tex]\small\bold{r = \frac{l}{θ }}[/tex]
[tex]\small\bold{ = (37.4) \times (\frac{π}{3})}[/tex]
[tex]\small\bold{= \frac{ (37.4)}{[\frac{22}{7}\times 3]} }[/tex]
[tex]\small\bold{= 35.7 cm }[/tex]
Hence, the radius of the circle is 35.7 cm.
A sequence is shown in the graph.
Assuming the pattern continues, what is the formula for the nth term?
A. an = 6(2n)
B. an = 2(6n − 1)
C. an = 6(0.5n − 1)
D. an = 6(0.5n + 1)
Answers
Explanation:
Focus on the y coordinates. They are: 6, 3, 1.5, 0.75
Divide each by their previous term
3/6 = 0.51.5/3 = 0.50.75/1.5 = 0.5We have a common ratio of r = 0.5
This proves we have a geometric sequence.
The starting term is a = 6
The nth term is [tex]a_n = a(r)^{n-1} = 6(0.5)^{n-1}[/tex] which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)
Tasha graphs a star with one tip at point S(-3,1). What are the coordinates of the corresponding point after a 90 rotation about the origin?
Answers
Answer:
corresponding point after a 90° rotation is (1,3)
Step-by-step explanation:
its drawn
8 4/5 - 5 1/6 This is a subtraction problem
Answers
Answer:
4 and 5/12
Step-by-step explanation:
Find them as an improper fraction then find the LCD and add
Answer:
3.63333 is the answer in Desamole form
5/4 - 1/3 - 1/2? What i the answer
Answers
I used a fraction calculator
Answer:
The answer is 5/12
To solve this, we first have to find a common denominator between the three fractions.
To find a common denominator, which is a multiple that all of the bottom parts of the fractions share, we just have to start guessing.
What is a multiple 4, 3, and 2 all share?
Well, 3 and 2 both share the multiple 6, but 4 doesn't.
What about 12?
4 x 3 = 12
3 x 4 = 12
2 x 6 = 12
All of the numbers share the common denominator of 12
So, we have to multiply all the top numbers now.
5 x 3 = 15
1 x 4 = 4
1 x 6 = 6
So here are our 3 new fractions:
15/12 - 4/12 - 6/12
Now this is a lot easier to solve
15/12 - 4/12
15 - 4 = 11
11/12
11/12 - 6/12
11 - 6 = 5
5/12
The answer is 5/12
Conrad worked 6.06 hours last week then work 1.75 times as long this week. how many hours in total did conrod work?
Answers
Answer:
10.605
Step-by-step explanation:
this us in total, how many hours he worked in total basically
[tex]18\frac{1}{5} -(-22\frac{2}{5} )-(-40\frac{1}{5} )?\\[/tex]
Answers
Answer:
[tex]=80\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]18\frac{1}{5}-\left(-22\frac{2}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]
[tex]=\frac{91}{5}-\left(-22\frac{2}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]
[tex]=\frac{91}{5}-\left(-\frac{112}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]
[tex]=\frac{91}{5}-\left(-\frac{112}{5}\right)-\left(-\frac{201}{5}\right)[/tex]
[tex]=\frac{91}{5}+\frac{112}{5}+\frac{201}{5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{91+112+201}{5}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:91+112+201=404[/tex]
[tex]=\frac{404}{5}[/tex]
[tex]=80\frac{4}{5}[/tex]
Imagine that there is a spinner with equal sections, and also a standard number cube. You spin the spinner and roll the cube. This is a situation that involves 2 parts (the spinner and the cube) and has a
total of 30 outcomes in the sample space
Answers
Considering the concept of a sample space, a situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this question:
The number cube will always have 6 outcomes.The spinner has n outcomes.The number cube and the spinner are independent, hence, to find the total number, we multiply the number of outcomes of each.Thus:
6n = 36 -> n = 6.
A situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.
More can be learned about the sample space concept at https://brainly.com/question/15006554
The author of a book was told that he would have to cut the number of pages by 7% for the book to sell at a popular price and still make a profit If the finished book contained 330 pages, how many pages were cut? Round your answer to the nearest integer.
Answers
Answer:
353
Step-by-step explanation:
107% of 330 = 353.1 ie 330 plus 7%of 330
100+7
107÷100
1.07×330
353.1
353 nearest
PLEASE HELP ITS DUE TODAY
Answers
Answer:
24
Step-by-step explanation:
LCM of 4, 6, and 8 by Prime Factorization
LCM of 4, 6, and 8 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 23 × 31 = 24. Hence, the LCM of 4, 6, and 8 by prime factorization is 24.
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No.
Answers
Answer:
the answer is yes
Step-by-step explanation:
trust
Answer:
the answer is Yes
Please help!!!!!! 70 points
Answers
Answer:
The Table is Correct
Step-by-step explanation:
You find probability by multiplying and that is what they did
[tex]0.52*0.52=0.2704\\0.52*0.48=0.2496\\0.48*0.48=0.2304[/tex]
The height of a triangle is 8 centimeters greater than three times its base. The area of the triangle is 128 square centimeters. What is the base of the triangle?
Answers
Answer:
base = 8 cm
step-by-step explanation:
Let the base be "b"
Then the height will be "3b + 8"
Therefore use the following to find area:
[tex]\rightarrow \sf \frac{1}{2} * base * height = area \ of \ triangle[/tex]
[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]
[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]
[tex]\rightarrow \sf 3b^2+8b= 128*2[/tex]
[tex]\rightarrow \sf 3b^2+8b=256[/tex]
[tex]\rightarrow \sf 3b^2+8b-256=0[/tex]
[tex]\rightarrow \sf 3b^2+32b-24b-256=0[/tex]
[tex]\rightarrow \sf b(3b+32)- 8(3b+32) =0[/tex]
[tex]\rightarrow \sf (b- 8)(3b+32) =0[/tex]
[tex]\rightarrow \sf b = 8, \ -\dfrac{32}{3}[/tex]
Therefore "b", base is 8 cm and height = 3(8) + 8 = 32 cm
Which are correct representations of the inequality 6x 2 3+ 4(2x - 1)? Select three options.
12 2x
6x 23+ 8x -4
-1.5
-1
-0.5
0 0.5
1
1.5
|--1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
Answers
Answer:
The third option
Step-by-step explanation:
I did the math x less than or equal to 0.5
6x + 3y = 6 and 7x + 9y = -22 solve using substitution please
Answers
Answer:
X = ( 40/11 )
Y = ( -58/11 )
Step-by-step explanation:
6x + 3y = 6
7x + 9y = -22
-------------------------
-3(6x + 3y = 6)
= -18x - 9y = -18
-------------------------
-18x - 9y = -18
7x + 9y = -22
-11x = -40
÷-11 ÷-11
x = ( 40/11 )
------------------------
6( 40/11 ) + 3y = 6
( 240/11 ) + 3y = 6
-( 240/11 ) -( 240/11 )
3y = ( -174/11 )
÷3 ÷3
y = ( -58/11 )
---------------------------
I hope this helps!
Answer:
[tex]x=\frac{40}{11}[/tex]
[tex]y=-\frac{58}{11}[/tex]
Step-by-step explanation: [tex]\left \{ {{6x+3y=6} \atop {7x+9y=-22}} \right.[/tex]
Multiply both sides of the equation by a coefficient
[tex]\left \{ {{3\left(6x+3y\right)=6\times3} \atop {7x+9y=-22}} \right.[/tex]
Apply the Distributive Property
[tex]\left \{ {{18x+9y=6\times3} \atop {7x+9y=-22}} \right.[/tex]
Calculate the product or quotient
[tex]\left \{ {{18x+9y=18} \atop {7x+9y=-22}} \right.[/tex]
Subtract the two equations
[tex]18x+9y-(7x+9y)=18-(-22)[/tex]
Remove parentheses
[tex]18x+9y-7x-9y=18+22[/tex]
Cancel one variable
[tex]18x-7x=18+22[/tex]
Combine like terms
[tex]11x=18+22[/tex]
Calculate the sum or difference
[tex]11x=40[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{40}{11}[/tex]
Substitute into one of the equations
[tex]7\times\frac{40}{11}+9y=-22[/tex]
Write as a single fraction
[tex]\frac{7\times40}{11}+9y=-22[/tex]
Calculate the product or quotient
[tex]\frac{280}{11}+9y=-22[/tex]
Multiply both sides of the equation by the common denominator
[tex]\frac{280\times11}{11}+9y\times11=-22\times11[/tex]
Reduce the fractions
[tex]280+9y\times11=-22\times11[/tex]
Multiply the monomials
[tex]280+99y=-22\times11[/tex]
Calculate the product or quotient
[tex]280+99y=-242[/tex]
Rearrange variables to the left side of the equation
[tex]99y=-242-280[/tex]
Calculate the sum or difference
[tex]99y=-522[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=-\frac{522}{99}[/tex]
Cross out the common factor
[tex]y=-\frac{58}{11}[/tex]
The solution of the system is
[tex]\left \{ {{x=\frac{40}{11}} \atop {y=-\frac{58}{11}}} \right.[/tex]
I hope this helps you
:)
What is a rough prediction the cube would land on 2 or 5 after 180 roll
Answers
Answer:
2/6 of it or 1/3 chance you get a 2 or 5
Step-by-step explanation:
WILL MARK BRAINLIEST
The following questions are about"The Middle Passage" by Oladaugh Equiano
Use the following passage to answer questions 1 & 2:
"One day, when all our people were gone out to their works as usual, and only i and
my dear sister were left to mind the house, two men and a woman got over our
walls, and in a moment seized us both, and, without giving us time to cry out, or
make resistance, they stopped our mouths, and ran off with us into the nearest
wood. Here they tied our hands and continued to carry us as far as they could, till
night came on when we reached a small house, where the robbers halted for
a
refreshment and spent the night. We were then unbound, but were unable to take
any food; and, being quite overpowered by fatigue and grief, our only relief was
some sleep, which allayed our misfortune for a short time.
1. How do you know this is a nonfiction piece?
The author uses words including "dear sister."
The author wrote, "where the robbers halted for refreshment..."
The author wrote phrases including "our people, I and my dear sister,"
and "us time."
The author wrote, "overpowered by fatigue and grief..."
2. What is the denotative meaning of "allayed" in the above passage?
aggravated
relieved
intensified
stirred
0000
Answers
1. We can dictate that this story "The Middle Passage" by Olaudah Equiano is a nonfiction piece because of C. The author wrote phrases including "our people, "I and my dear sister," and "us" several times.
What is nonfiction?Nonfiction is a piece of writing based on factual events and real occurrences. Nonfiction involves real people, places, and events.
Unlike fiction, nonfiction does not embellish the stories to attract the readers' attention but tells the simple truth.
2. The denotative meaning of "allayed" in the above passage is B. relieved.
What is meant by denotative meaning?Denotative meaning shows the explicit or direct meaning of a word or an expression.
The denotative meanings of words and expressions can be distinguished from their associated or connotative ideas or meanings by the direct references made on the subject.
Learn more about "The Middle Passage" by Olaudah Equiano at https://brainly.com/question/10877643
What is the full form of nasa come dsakdfeojf
Answers
Answer:
national aeronautics and space administration
Step-by-step explanation:
nasa was started on October 1 ,1958 as a part of united States
Hi please help I’ll give brainiest!
Answers
Answer:
A
Step-by-step explanation:
The answer would have to be A because it is the only expression that shows the number 2 being added to n.
I hope this helps!
Answer:
B
Step-by-step explanation:
Product means to multiply, and n is 18. So 2(n)=36 is correct
N= 18
2(18)
36
so 2(18)=36
HELP
PLEASEEE NEED THIS ASSPPP!!!!!!
Answers
Answer:
-2/9
Step-by-step explanation:
PLEASE PLEASE HELP Please
Answers
Answer:
Second option
Step-by-step explanation:
They have been completed with 8 valence electrons. I hope this helps