Answers
(w³+7)9=(9w²+7)x
9w³+63=9w³+7x
63=7x
x=9
Cross multiply to get
9(w^3+7) = (9w^2+7)w
Remove parentheses
9w^3+63=9w^3+7w
Cancel equal terms
63 = 7w
Divide by 7
w = 9 , w = 0
Related Questions
Et f(x) = 9x − 2 and g(x) = −x + 3. find f(g(x)). −9x − 2 −9x + 5 −9x + 25 −9x + 27
Answers
f(x) = 9x − 2 and g(x) = −x + 3.
f(g(x)) = f (-x+3) = 9(-x+3)-2
f(g(x)) = = -9x +25
Answer:
its a on edg
Step-by-step explanation:
im 100%
Does adding zero to a number ever change its value? what is this property called?
Answers
Which of the following is irrational?
A. 7.51... x -4
B. root 16 + 3/4
C. root 3 + 8.486
D. 8 2/3 x 17.75
Answers
C. root 3 + 8.486
Option (C) √3 + 8.486 is an irrational number.
What is an irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. Those real numbers that are not rational numbers are known as irrational numbers.
For the given situation,
We need to check the options, that is irrational.
Option A: 7.51... x -4
⇒ [tex](7.51 ) (-4)[/tex]
We can express this as fraction. So it is not an irrational number.
Option B: root 16 + 3/4
⇒ [tex]\sqrt{16} +\frac{3}{4}[/tex]
⇒ [tex]4+\frac{3}{4}[/tex]
We can express this as fraction. So it is not an irrational number.
Option C: root 3 + 8.486
⇒ [tex]\sqrt{3} +8.486[/tex]
⇒ [tex]\sqrt{3}[/tex] is an irrational number, so the sum is also an irrational number.
Option D: 8 2/3 × 17.75
⇒ [tex](8\frac{2}{3})(17.75)[/tex]
We can express this as fraction. So it is not an irrational number.
Hence we can conclude that option (C) √3 + 8.486 an irrational number.
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A segment has endpoints F and H . What are two names for the segment?
Answers
What is the equation of the line that passes through (5, -2) and (-3, 4)?
Answers
Answer: [tex]4y=-3x-7[/tex]
Step-by-step explanation:
The equation of a line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
The equation of a line passing through (5, -2) and (-3, 4) is given by :-
[tex](y-(-2))=\dfrac{4-(-2)}{-3-5}(x-5)\\\\\Rightarrow\ y+2=\dfrac{6}{-8}(x-5)\\\\\Rightarrow\ y+2=\dfrac{-3}{4}(x-5)\\\\\Rightarrow\ 4(y+2)=-3(x-5)\\\\\Rightarrow\ 4y+8=-3x+15\\\\\Rightarrow\ 4y=-3x-7[/tex]
Determine if the statement is always, sometimes, or never true:
An equilateral triangle is a right triangle.
always
sometimes
never
Answers
Answer:
never
Step-by-step explanation:
To Find :An equilateral triangle is a right triangle.
1. always
2.sometimes
3.never
Solution :
Definition of equilateral triangles: a triangle having all sides equal in length
Since all sides are equal so by property of triangle (angle opposite to equal sides are equal ) so, all angles are equal .
If equilateral triangle is right angle then one of its angle is of 90°
And in equilatera triangle all angles are equal so all angles must be of 90°
We know that triangle sum property is : Sum of all angles of triangle is equal to 180°
So, 90°+90°+ 90° =180°
⇒270°≠180°
since this violates the angle sum property of triangle .
Thus an equilateral triangle can never be a right triangle
Answer:
NEVER
Step-by-step explanation:
A class has 11 boys and 9 girls in it. what percent of the class are boys
Answers
of those students, 11 are boys...
11/20 = 0.55 = 55% <== so 55% are boys
Answer: the answer is C 55%
Hope this helps you
How many different combinations of a 4-member debating team can be formed from a group of 10 qualified students?
Answers
A 0.5-kg ball accelerated at 50 m/s2 . What force was applied?
Answers
what are rational numbers
Answers
Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)?
Answers
Answer:
(–2.1)(3) + (–2.1)(0.4)
Step-by-step explanation
It's D
To make the bowling team. Jacques needs a three-game average of 160. If he bowled 141 and 162 for the first two games, what score S must be obtained in the third game so that his average is at least 160?
Answers
(303 + S) / 3 = 160
101 + S/3 = 160
-101 -101
S/3 = 59
*3 *3
S= 177
Jacques needs at least a 177 to get a 160 average
Maria says that 6.25 os 1/100 the value od 625.Wriye an explanation to support Maria's statement.You can use equations or models in your explanation.
Answers
Can anybody help me with this? It's geometry
Answers
I hope this helps!
What is the solution of 7<5-2x<17
Answers
[tex]7-5\ \textless \ -2x\ \textless \ 17-5[/tex]
Step Number 2. Simplify
[tex]2\ \textless \ -2x\ \textless \ 12[/tex]
Step Number 3. Divide the whole equation by -2
[tex]-1\ \textgreater \ x\ \textgreater \ -\frac{12}{2} [/tex]
Step Number 4. Simplify
[tex]-1\ \textgreater \ x\ \textgreater \ -6[/tex]
Done! :)
The area of this parallelogram is 24 square units the base is 8 units what is the height of the figure
Answers
If AB is parallel to CD and the slope of CD is -8, what is the slope of AB
Answers
Parallel lines: two lines that have the same slope, but different y-intercepts.
Therefore, by definition AB HAS to have the same slope as CD. If it has a different slop, the lines cannot be parallel to each other. So, the answer is AB has a slope of -8. Hope this helped! Have a nice day! :)
Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X and Y. Lines EA and FG are parallel.
Based on this information, which lines could be perpendicular to RS? Check all that apply.
EA,ER,EF,FG,FS
Answers
Answer:
Step-by-step explanation:
1. Graph the system of inequalities.
–2x + 3y ≥ –12
x + y < 3
how do i graph on a word doc?
Answers
see attached picture of how graph should look.
search through word for a graph icon, you should be able to do this in Word.
One day a store sold 17 sweatshirts. white ones cost $10.95 and yellow ones cost $ 11.50. in all, $192.75 worth of sweatshirts were sold. how many of each color were sold?
Answers
Let y be the number of yellow sweats
$192.75 = $10.95x+ $11.50y
X+y=17
X= 17-y
192.75 = 10.95 (17-y) + $11.50y
192.75 = 186.15 -10.95y +11.50y
192.75-186.15 = 0.55y
6.6/0.55 = y
12= y
X+y = 17
X+ 12 = 17
X= 5
(5, 12)
KL = 4x+7 and LM= 5x-4
Answers
-4x -4x
7=x-4
+4 +4
11=x
How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
Answers
Compound interest formula
[tex]A=P(1+ \frac{r}{n} )^{nt} [/tex]
Where
A= Future value
P =
the Principal (the initial amount of money)
r = annual interest rate
t = time
n= number of times compounded in one tRemark
----------------------------------------------------------------------------------
r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07...,
the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...
t is in years,
In our problem:
A= 30 000
P =20 000
r = 15%=0.15
time = t = ?
n= 4applying the formula:
[tex]A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}[/tex]
[tex] \displaystyle{ 1.5={(1.0375^4)}^t\\\\[/tex]
[tex] 1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75[/tex]
75% of 12 months is 3/4 of 12 months, which is 9 months
Answer: 2 years, 9 months
Evaluate the function at the given value of the independent variable and simplify f(x)= x^2 + 1
Answers
the standard form is : ax²+bx+c
a =1 b = 0 and c= 1 because : x²+1 = 1x² +0x +1
value of the independent variable and simplify f(x)= x² + 1 is : c = 1
A movie theater sold a total of 390 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $7 and each child ticket cost $3. How much revenue did the theater generate in ticket sales that day?
Answers
The Revenue generated by theater is $2,250.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
It is possible to simplify mathematical formulas by merging and grouping related terms. This makes it easy to understand and decipher the puzzle.
Given total ticket sold = 390
adult ticket + child ticket = 390
and 2.25 times as many adult tickets as child tickets
so adult ticket = 2.25 child tickets
Let child ticket be x
adult ticket = 2.25x
equation will be
2.25x + x = 390
3.25x = 390
x = 120
adult ticket = 390 - 120 = 270
cost of 1 adult ticket = $7
cost of 270 adult ticket = 7 x 270 = $1890
cost of 1 child ticket = $3
cost of 120 child ticket = 3 x 120 = $360
Total revenue = $1890 + $360
Total revenue = $2,250
Hence the total collection of theater is $2,250.
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A coin is tossed 6 times. what is the probability of getting at least one head? express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
P(TTTTTT) = 0.5 × 0.5 × 0.5 × 0.5 × 0.5 × 0.5 = 0.015625
1 - P(TTTTTT) = 1 - 0.0156251 - P(TTTTTT) = 0.984375
So, probability of getting at least one head is 0.984375
Final answer:
The probability of getting at least one head in six coin tosses is 1 minus the probability of getting tails on all tosses, resulting in a probability of 98.44% when rounded to four decimal places.
Explanation:
The question is about calculating the probability of getting at least one head when a coin is tossed six times. Rather than calculating the probability of at least one head directly, it's simpler to calculate the probability of the opposite event—getting no heads—which is the same as getting tails on all six tosses. Since the probability of flipping a tail on each toss is 0.5, the probability of flipping six tails in a row is (0.5)⁶, which equals 0.015625. Therefore, the probability of getting at least one head is 1 minus the probability of getting no heads, which is 1 - 0.015625, resulting in 0.984375 or 98.44% when rounded to four decimal places.
Please help :)))) ( attachment )
Answers
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2
This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that
g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2
So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).
Here's proof of both claims
-----------------------------------------
Proof of Claim 1:
f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6
-----------------------------------------
Proof of Claim 2:
h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
What is the sum of 2.5 × 10^4 and 3.4 × 10^4?
Answers
The sum of 3.4 x 10^4 is 34000
If you combine that it is 59000
3.4*10^4= 34000
Which property justifies that 4.37.25=4.25.37?
Answers
5q + 3 = 3h solve for q (literal equations)
Answers
5q = 3h - 3
q = (3h - 3) / 5
or
3(h -1)
q = ---------------
5
hope it helps
Sophia used the digits 6, 3, and 8 to write a number less than 6 and greater than 5. Her number has three digits, and the digit in the tenths place is odd. She used each digit only once in the number. What is Sophia's number?