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Answers
Answer:
A. 8
Step-by-step explanation:
We are given the functions:
[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]
We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.
As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.
[tex]f(g(x))=\sqrt{(7x+b)}[/tex]
The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.
[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]
Therefore, the value of b is equal to 8.
Related Questions
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
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10/.25 =40 .25 is equal to 1/4 . therefore she can make 40 batches of cookies
Question and answer choices are in the SS attached!!!! Pls help me! ty!
Answers
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = [tex]\sqrt{592}[/tex]
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
Please help I do not understand what to do or what the answer is
Answers
Answer:
Step-by-step explanation:
[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]
(1 , -3) & ( 1 , 0)
The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.
Slope is undefined.
3) (0,2) , (4 , 0)
[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.
Answers
Answer:
6 ft/s
Hope I helped
Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answers
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
To know more about an average follow
https://brainly.com/question/20118982
#SPJ2
Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:
A=
B=
Answers
9514 1404 393
Answer:
0.40+2.20i
Step-by-step explanation:
To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]
_____
Additional comment
This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:
(a -b)(a +b) = a² -b²
Help Please !! And thank you !!
Answers
Answer:
c
Step-by-step explanation:
Line EG bisects angle DEF
[tex] \: \: \: \: \: \: [/tex]
plss help me po!!
what is the measure of OS if MO = 6, OE =4 and OR=3?
a. 13
b. 8
c. 7.5
d. 7
explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow
#nospam
#nolinks
[tex] \: \: \: \: \: \: \: [/tex]
Answers
Answer:
B. 8Step-by-step explanation:
Intersecting chords theorem:
OS * OR = OM * OESubstitute values and solve for OS:
OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8Correct choice is B
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answers
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
Please help I’ll give brainylist in return
Answers
Answer: its an enlargement and when it enlarges A goes up 6 and moves to the right 3 spaces P stays the same b also moves to the right 6 spaces
so in conclusion answers are
A'=(8,5)
B'=(-2,10)
Step-by-step explanation:
i hopes this helps if it doesn't I'm very sorry i tried helping the best i can :|
think of two numbers which when add give 5 and substracts give 1
Answers
Answer:
3 and 2
Step-by-step explanation:
3+2=5
3-2=1
Hope this helps!!
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Answers
Step-by-step explanation:
kruitika- 42
Gordorn-31
so krutila was 11 when they gave birth to Gordon
she was 23 when they gave birth to pip
The youngest of them is pip so pip is =19
what is the equation to solve this
Answers
Answer:
p=(180.50-19.50)/23
Step-by-step explanation:
can someone help me with these 3 pls?
Answers
BRAINLIEST
please help me finish these
Answers
Answer:
15. 41.68 inches
16. 78.79°
Step-by-step explanation:
It's a little hard to explain in just text, but I'll try.
15 ================
This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.
[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]
x ≈ 41.68
16 ================
From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.
[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]
x ≈ 78.79°
16) answer is 78.79 degrees
Feel free to comment if you want me to explain my work :)
Find the greatest common factor of 21 and 46.
Answers
Answer:
1
Step-by-step explanation:
Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3
Answer:
1
Step-by-step explanation:
they are both co-prime (numbers that have a common factor of only 1)
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x
Answers
Answer:
Can you pls give a bit more information.
Step-by-step explanation:
what is the number name of (i)46,25,689and (ii)658,902,250
Answers
Answer:
forty six hundred thousand tweny five thound and six hundred eighty nine
six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty
Step-by-step explanation:
1-3. Name the radii.
Answers
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answers
Answer:
y = |x+6|
Step-by-step explanation:
To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.
If we are shifting 6 units to the left, h = -6. Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|
helpp?? please :))))
Answers
:D
Simplify the expression. Write your answer in exponent form. (6^2*6^9/6^7)^5
Answers
Answer:
6^4
Step-by-step explanation:
6^2*6^9/6^7
6^(2+9)/6^7
6^(11-7)
6^4 or 1296
Work out m and c for the line: 2 y + 6 x = 4
Answers
Answer:
m = -3
c = 2
Step-by-step explanation:
if m = slope and c = y-intercept:
Convert to slope - intercept form : y = mx + b, or y = mx + c
2y + 6x = 4
2y = -6x + 4
y = -3x + 2
(m)Slope = -3
(c)y - intercept = 2
-Chetan K
Two pillars of height 8 ft each with four faces of the gate of a stadium have one-one pyramid of height 4 ft each having same base on their tops. The base of each pillar is 6 ft × 6 ft. If the pillars with pyramid are painted at rate of Rs 89 per sq.ft , what will be the total cost? [ Please include figure too]
Help!! ~Thanks in advance! :)
Answers
Answer:
₹ 44856Step-by-step explanation:
There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.
There will be 4 faces of each painted.
Area of each prism face:
6*8 = 48 ft²Total area of prism faces:
8*48 = 384 ft²Slant height of pyramid faces:
s = √h²+(a/2)², where h- height of pyramid, a - side of bases = √4²+(6/2)²= √16+9 = √25 = 5 ftArea of each face of pyramid:
A = (1/2)*6*5 = 15 ft²Total area of pyramid faces:
8*15 = 120 ft²Total area to be painted:
384 + 120 = 504 ft²Cost of paint:
504*89 = 44856Total cost painted = 44,856
Answer in the picture.
Simplify 2y+4x=16x +6y
Answers
I would really like help
Answers
3 -25.875
4 -144
5 24
Answer:
[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]
[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]
[tex] \\ = \frac{1}{8} + ( - 26)[/tex]
[tex] \\ = \frac{1}{8} - 26[/tex]
[tex] \\ = \frac{1 - 208}{8} [/tex]
[tex] \\ = \frac{ - 207}{8} [/tex]
[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]
[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]
[tex] \\ = 20 \times 3 - 7 \times 72[/tex]
[tex] \\ = 60 - 504[/tex]
[tex] \\ = - 444[/tex]
[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]
[tex] \\ = 23 - 2 + 7 - 4[/tex]
[tex] \\ = 23 + 7 - 2 - 4[/tex]
[tex] \\ = 30 - 6[/tex]
[tex] \\ = 24[/tex]
[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answers
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
Find the length of the indicated
side of the similar figure.
24
18
24
x =
[?]
Enter the nutriber that belongs in the green box
Answers
2 questions for more a lot of points
Answers
Answer:
3 or 4
Step-by-step explanation:
sand is falling off a conveyor in a conical pile at a constant rate of 2 cubic yards per minute. The height of the sand is equal to the radius of the pile of sand on the ground. If the cone-shaped pile is 3 feet tall now, how tall will it be in one hour?
Answers
The volume of a cone is (1/3)πr2h.
In this problem r=2h or h=(1/2)r
Hence V = (1/6)πr3
dV/dt = (1/2)πr2 dr/dt
With this information you should now be able to answer the question. Remember the relation between r and h!
never mind i was right
im also so sorry if you dont understand or its not one of the answers
Answer:
t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
Step-by-step explanation: