Answer:
C
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]x^{4}[/tex] + 7 ( subtract 7 from both sides )
y - 7 = [tex]x^{4}[/tex] ( take the fourth root of both sides )
[tex]\sqrt[4]{y-7}[/tex] = x
Change y back into terms of x where x is g(x)
g(x) = [tex]\sqrt[4]{x-7}[/tex] , x ≥ 7
PLEASE HELP I HAVE A TON OF QUESTIONS AND EVERYTIME I REDO THIS ON THE TEST IT SAYS IM WRONG
Answer: the lengths of the line segments. hope this helps!
Step-by-step explanation:
Given the following functions, find each of the values:
f(x) = x2 + x - 30
g(x) =x- 5
(f + g)(-5)
(f - g)(3) =
(f.g)(-3) =
(f/g) (1) =
Step-by-step explanation:
(F+g) (-5)
={2x+x-30 +(x-5)}(-5)
={4x-35}(-5)
= -20x +175
X=175/20
X=35/4
X=8.75
...........
(f - g)(3)
={x2 + x - 30 - (x- 5)} (3)
= {2x - 25} (3)
=6x-75
X=75/6
X=12.5
..................
(f.g)(-3)
= {(x2 + x - 30). (x- 5)} (-3)
={(3x-30)(x-5)}(-3)
The value of coins in the pockets of several students is recorded. What is the mean of the values: 10, 20, 35, 35, 35, 40, 45, 45, 50.60
a. 10 cents
b. 35 cents
c. 37.5 cents
d. 50 cents
Answer:
36.17
Step-by-step explanation:
Add all and divide by 9
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below. x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction What is Tyler’s error? Both powers should be in the numerator with positive exponents. Both powers should be in the denominator with positive exponents. The power x cubed should be in the numerator and the power y Superscript 9 in the denominator. The power y Superscript 9 should be in the numerator and the power x cubed in the denomin
Answer:
i am pretty sure it is a) Both powers should be in the numerator with positive exponents.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2.
aq - 8) = 23
Solve for q.
Sb please help me
Answer: q=31
Step-by-step explanation:
q -8 = 23 Add 8 to both sides
+8 +8
q = 31
Arrange the following set of decimal numbers in order from smallest to largest.
0.31, 0.409, 0.414, 0.4186
Answer:
Step-by-step explanation:
0.31=0.3100
0.409=0.4090
0.414=0.4140
0.4186
arranging smallest to largest
0.3100,0.4090,0.4140,0.4186
or 0.31,0.409,0.414,0.4186
Simplify the expression
(-3+4k) - (-2+ 7k)
Answer: −1−3k
Step-by-step explanation:
Distribute:
(−3+4k)−1(−2+7k)
(-3+4k)+{2-7k}
Eliminate redundant parentheses:
(−3+4k)+2−7k
-3+4k+2-7k
Add the numbers:
−3+4k+2−7k
−1+4k−7k
Add the same term to both sides of the equation:
−1+4k−7k
−1−3k
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper.
Answer:
mass of copper in the resulting mixture = 104 grams of pure copper
Percent of the resulting mixture that is copper = 81.25%
Step-by-step explanation:
The complete question is
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper. How many grams of copper are in the resulting mixture? What percent of the resulting mixture is copper?
The original alloy has a mass of 50 grams,
52% of this 50 grams is copper,
mass of copper = 0.52 x 50 = 26 grams
78 grams of pure copper added will bring the mass of copper to..
mass of copper = 26 + 78 = 104 grams of pure copper
After adding 78 grams of copper to the alloy, the resultant mass of the mixture will be = original mass of alloy + mass of the pure copper added
==> 50 + 78 = 128 grams
Percentage of the resulting mixture that is copper = (total mass of copper in the mixture/total mass of mixture x 100%)
==> 104/128 x 100% = 81.25%
Solve: 5^3 a 125 b 25 c 15 d 5
Answer:
Step-by-step explanation:
5^3 = 5 x 5 x 5 = 25 x 5 = 125
answer is a
5(4x−3)−(3x+1)=3(5x+9)+2x
20x - 15 - 3x - 1 = 15x + 27 + 2x
17x - 16 = 17x + 27
17x - 17x = 27 + 16
0 = 43
Since zero is not equal to 43, this equation has no solution.
Give me a sentence on why you think that culture is the most powerful influence on health.I need this is due right now if you could please be nice and help me I’ll give you brainliest:)
Answer:
Considering that back in the day, we were told that you should not drink a lot of water before exercising, I believe we went a very long way and now it is even encouraged, labels on food and drinks help us figure out what we are consuming and what is better for us, however we make that decision and it is offered to us for much cheaper now considering the dollar value worth today.
I am assuming you mean physical health.
Step-by-step explanation:
The product of 5 and the difference of 1 and a number.
Answer:
Simplify.
There's a product, so we are multiplying.
5 x...
The difference of one and a number. The number is a variable, since it could be any number.
1 - x
Let's combine them.
5 x (1 - x)
5(1 - x)
Hope this helped!
Mark this Brainliest, not that it matters.
Good luck :)
1) 10x + 3y + 5x =
2) 2x + 7y+ 4x+6x? -
3) 9y+3y + 5x =
4) 2y + 7y + 4y + 6y' =
I
5) 8x + y - 2x =
6) x + 7y - 4y +9x?
7) 14x - 3x + 2 y = y + 3x -
8) 5y + 5y + 5y + 5x
What are the answer for these problems you need to simplify the expression by combining like terms
Answer:
Step-by-step explanation:
Terms with same variables are like terms
1) 10x + 3y + 5x
Here, 10x and 5x are like terms. so add them
10x + 5x + 3y = 15x +3y
2)2x + 7y +4x + 6x = 2x + 4x + 6x + 7y = 12x + 7y
3)9y+ 3y +5x = 12y +5x
4)2y +7y +4y +6y = 19y
5)8x + y - 2x = 8x -2x + y = 6x + y
6) x + 7y -4y +9x = x +9x + 7y - 4y = 10x + 3y
8) 5y +5y +5y +5x = 15y + 5x
Find the coordinates of
the midpoint of AB with
endpoints A(3,7) and
B(0,2).
Thank you so much!
Answer:
[tex]M=(\frac{3}2},\frac{9}{2})[/tex]
Step-by-step explanation:
The midpoint is given by the formula:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
So we have the two endpoints A(3,7) and B(0,2).
Let's let (3,7) be x₁ and y₁ and let's let (0,2) be x₂ and y₂.
Therefore, our midpoint is:
[tex]M=(\frac{3+0}{2},\frac{7+2}{2})[/tex]
Add:
[tex]M=(\frac{3}2},\frac{9}{2})[/tex]
Or:
[tex]M=(1.5,4.5)[/tex]
And we're done!
Hope this helps!
Answer: (1.5,4.5)
Step-by-step explanation:
For midpoint i have a little cheer to remember the steps it goes," Midpoint, midpoint, what do you do? add them together and divide by two.
so using this problem as an example you would add the y coordinates and the x coordinates and get (3,9) then you divide X and Y by two.
So 3 divided by 2 is 1.5 so that is the X coordinate for the midpoint
and 9 divided by 2 is 4.5 so that is your Y coordinate for the midpoint.
Put it together and your answer is (3.5,4.5)
b5c8 divided by b3c2
Step-by-step explanation:
b×5×c×8/b×3×c×2
5/3×4
the answer is 20/3
Asap please help me solve this Inequality?
[tex]3(x + 6) - 2(x + 2) \geqslant 10[/tex]
Answer:
[tex]x\geq -4[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]3(x+6)-2(x+2)\geq 10[/tex]
First, distribute:
[tex](3x+18)+(-2x-4)\geq 10[/tex]
Combine like terms:
[tex](3x-2x)+(18-4)\geq 10[/tex]
Add:
[tex]x+14\geq 10[/tex]
Subtract 22 from both sides:
[tex]x\geq -4[/tex]
And we're done!
A cope machine makes 32 copies per minute. How many copies does it make in 4minutes and 15 seconds?
Answer:
136
Step-by-step explanation:
4 times 32 = 128
32/4=8
128+8=136
Answer:
135
Step-by-step explanation:
1. divide 32 by 60 to get how many copies per second
[tex]32/60 = 0.533[/tex]
2. convert 4min and 15 sec to seconds
it is 255 seconds
3. Multiply copies per second by number of seconds
[tex]0.533(255) = 135.91[/tex]
4. Round down to whole number because you can't copy part of a paper
2. Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1.260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months?
Answer:
$9,102
Step-by-step explanation:
Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1,260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months
From the question above, we have the following information:
On one fountain that sells for $869 = she gets a commission of $174( the lower-priced fountains)
On the other fountain that sells for $1,260 = she gets $252 ( the higher-priced fountains)
Ingrid sold 19 of the lower-priced fountains)
1 fountain sold = $174 of commission
19 fountains sold =
$174 × 19
= $3,306
She also sold 23 of the higher-priced fountains)
1 higher priced fountains = $252
23 higher priced fountains =
$252 × 23
= $5,796
Hence, the Total commission Ingrid made = Total commission on Lower priced fountains + Total commission on Higher priced fountains
= $3,306 + $5,796
= $9,102
Therefore, the total commission Ingrid made = $9,102
please answer the everything thank you ! i'll mark the brainlest!!!!! :)
Answer:
1. a. 2 KM ; b. 9000 m
2. a. 9 L ; b. 3000 g
3. a. 6000 ml ; b. 9
4. a. 60 mm ; b. 4000 m
5. a. 1 km ; b. 2 kg
6. a. 5 ; b. 4 m
7. a. 4000 ml ; b. 3000
8. a. 10 kg ; b. 20 mm
9. a. 10 km ; b. 9kg
10. a. 4 kg ; 8 l
Fill in the blanks below in order to justify whether or not the mapping
shown represents a function.
Set A
Set B
-4
4
ол
The mapping diagram above
va function since
where there
in
Sushmit Answer
Answer:
The mapping diagram above is a function since there are no two values (integers) in the range (Set B) where there is only one value (integer) in the domain (Set A) mapped unto them
Step-by-step explanation:
By definition a function is an association between the individual elements within two sets such that all element in one set is mapped to precisely one element of the other set
In the given example, all the elements in Set A are mapped to exactly one element of the Set B
That is the function from A to B is the set C (-1, -4), (9, 5), (1, 4), whereby the first component of the ordered pair in the set C are the elements of the set A.
The mapping diagram above is a function since there are no two values in set B where there is only one value in Set A mapped to them.
A function has a very unique attribute of having one output attributed to each input. The Set A is the domain while set B denotes the range. Hence, each value in the domain would have exactly one value in the range which would be different for each value in the domain.Therefore, since the mapping diagram illustrates a 1 input to 1 output relationship, then it is a function.
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is -17.84 a rational number?
Answer:
yes
Step-by-step explanation:
-17.84 can be written as a/b where a and b are integers
-1784/ 100
This is a rational number
Point a and point b lie in the coordinate plane what is the midpoint between a (7,-5) and b (9,-1)
Answer:
(-3,8)
Step-by-step explanation:
formula
(y1+y2/2 ,X1+X2/2)
=(-5-1/2 ,7+9/2)
=(-6/2 ,16/2)
=(-3,8)
The endpoints of CD are C (4,6) and D(-1,-1). Find the coordinates of the midpoint M.
Coordinates of midpoint M: OD
6 HELP ME PLEASE I REALLY NEED HELP FAST 30 points
Answer:
M = (1.5, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = C(4, 6) and (x₂, y₂ ) = D(- 1, - 1) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (4 - 1) , [tex]\frac{1}{2}[/tex] (6 - 1 ) ] = (0.5(3), 0.5(5) ) = (1.5, 2.5 )
what is the radius and circumference for this problem?
How is 80.106 written in expanded form?
The expanded form representation of the decimal number given as in the task content is; (8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001).
What is the expanded form of the decimal number as given in the task content?It follows from the task content that the number given is; 80.106.
Hence, the expanded form is;
(8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001)
Read more on expanded form;
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What is the value of this expression? (−2)^5
Answer:
-32
Step-by-step explanation:
=(-2)^5
=-2*-2*-2*-2*-2-2
-2*-2=4
-2*-2=4
-2
4*4=16
16*-2=-32
Hope this helps :) ❤❤❤
100) Last Friday Maria had $19.32. Over the
weekend she received some money for
washing the dog. She now has $35.21.
How much money did she receive?
please help asap!!!
Answer:
she recurved 15.89 over the weekend
Step-by-step explanation:
Answer:15.89
Step-by-step explanation:
35.21-19.32=
15.89
Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan? USE NUMBERS ONLY Your answer
Answer: 60 feet
Step-by-step explanation:
Fron the question, we have been told to use a scale factor of 1 inch:12 feet. This simply means that 1 inch has been represented to 12 feet of the actual dimension.
We are further told that a plastic toy bird has a wingspan of 5 inches. The actual bird wingspan will therefore be 5 multiplied by 12 feet and this will be:
= 5 × 12 feet
= 60 feet
A plastic toy bird that has a wingspan of 5 inches has an actual bird wingspan of 60 feet
The circumference of a circle is 6n meters. What is the diameters? Explain
Answer:
~1.909859317n
Step-by-step explanation:
Diameter = circumference divided by pi. 6/pi = 1.909859317
Answer:
Step-by-step explanation:
Circumference of a circle = 6π meters
πd = 6π {Here, d is the diameter}
[tex]d=\frac{6\pi }{\pi }[/tex]
d = 6 meters
7y ^3 −7x^3 +4−5+6−3x^3 +6x^3
Combine Like Terms
Answer:
-4x^3 + 7y^3 + 5
Step-by-step explanation:
7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3 Given
7y^3 - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6 Rearrange
7y^3 - 4x^3 + 5 Combine the like terms
or
-4x^3 + 7y^3 + 5 Answer