Answer:
x = 4
Step-by-step explanation:
First, you subtract 1 from both sides, giving you 3x = x + 8
Then you subtract 1x from both sides, so 2x = 8
Divide the 2 from both sides which leaves you with the answer, x = 4
PLLSSSS HEELP
Solve and graph this absolute value equation.
|x – 2| – 8 = 7
Step-by-step explanation:
y-8=7 y=15
|x-2|=15 has two solutions
17,-13
Answer:
answer
(x_2)- 8=7
2x=8-7
2x=1
that's the answer
Which of the following functions represents the values in the table below?
x 0 2 4 6
f(x) 2 10 66 218
a f(x) = -3x - 2x 2
b f(x) =x^3/2
c f(x) = 2 + x 3
d f(x) = 3x - 2
Answer:
f(x) = 2 + x^3
Step-by-step explanation:
The function f(x)=2+x^3 satisfies all the values given in the table.
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For the third option C we will check all the values of x in the function.
[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]
Hence the function f(x)=2+x^3 satisfies all the values given in the table.
To know more about function follow
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which is the product of 7/9 and 6 in a fraction number
Answer:
4 2/3
Step-by-step explanation:
7/9 multiplied by 6/1 = 42/9
Simplify: 14/3
Turn it into a mixed number: 4 2/3
A school janitor has my 1/3 of the classroom in five minutes at what rate is he mopping
Answer:
1/15 per min
Step-by-step explanation:
3 times 5 equals 15 and so 1/15.
Try making a visual picture to see yourself.
evaluate the expression, (g◦f)(3), given the following functions.
f(x)=x+2 and g(x)=x
[tex]f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5[/tex]
1/2 + 2 3/4
Help please (◍•ᴗ•◍)❤
Answer:
3 1/4
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
im going to change the fractions to decimals
1/2 = 0.5
2 3/4 = 2.75
0.5 + 2.75 = 3.25
now im going to switch it back to fraction
3.25 = 3 1/4
PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP
Answer:
the 3/5 part of 6 3/5
Step-by-step explanation:
3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.
6/10 as hundredths in fraction form and decimal form
Answer:
60/100 and .6
Step-by-step explanation:
How is the sentence "8 less than y is 2" written as an equation?
A. 8-y = 2
B. y - 2 - 8
C. y - 8 - 2
D. y + 8 - 2
Answer:
y - 8 = 2
thats how you would write it so idk i guess pick c because its the closest
"8 less than y" ==> y-8
"is 2" ==> =2
therefore y-8=2
Math 7 A Unit 4 lesson 2 Please help quick
5/10-3/10
1/2+3/4
1/6+3/8
7/8-5/12
Answer:
2/10, 1 1/4, 13/24, 11/24
Step-by-step explanation:
1. subtract the fractions
2. add the fractions
3. add the fractions
4. add the fractions
-6(1/4x-2/3x+5/6x) simplified .
Answer:
[tex]-2\frac{-1}{2}[/tex]
Step-by-step explanation:
To distribute the -6, multiply every numerator by -6, this gets you
-6/4+12/3-30/6
To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.
-18/12+48/12-60/12
This gets you -30/12
To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]
What is qualitative data? Give an example.
Answer:
it is data that you can see or describe such as he is a boy
Step-by-step explanation:
Please I need help hurry!
Answer:
Step-by-step explanation:
Team B=2.2*4.8= 10.56
Team C : 10.56 *1.5=15.84
Pls help me I will give out points
Answer:
A, the first one
Step-by-step explanation:
On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!
Find the distance between the points (-3, 5) and (7, -1), round the nearest 10th, if nessasary.
Answer:
The answer is 11.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3, 5) and (7, -1)
The distance between them is
[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]
We have the final answer as
11.7 units to the nearest tenthHope this helps you
What transformation occurs to the graph f (x) =2x + 3 if the 3 in the equation is changed to a 5?
Preview Activity 2.4.1. Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?
Answer:
Step-by-step explanation:
Given the function f(x) = tan (x)
From trigonometry identity, tan (x) = sin(x)/cos(x)
f(x) = sin(x)/cos(x)
Using the quotient rule to find the derivative of the function, we will have;
f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x
f'(x) = cos²x - sin²x/ cos²x
Divide through by cos²x
f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x
f'(x) = 1 + sin²x/cos²x / 1
f'(x) = 1 + (sin²x/cos²x)
f'(x) = 1 + tan²x
From trig identity, 1 + tan²x = sec²x
Hence, f'(x) = sec²x
Hence the expression f'(x) in terms of the secant function is sec²x
f'(x) = 1/cos²x
For the function to be defined, it means that cos²x ≠ 0
cos²x ≠ 0
cos x ≠ 0
x ≠ cos⁻¹0
x ≠ 90⁰
Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will becomes f'(0) = 1/cos²0 = 1/1 = 1.
Hence the function is defined at 0≤x<90
Write 0.6 as a percentage.
Answer:
60%
Step-by-step explanation:
all you need to do is multiply this by 100 (move two decimal places to the right).
0.6--> 60
60 percent
Answer: 60%
Explanation: .6 x 100 = 60
-3.5 , 2 , -3 , -1 , -1.5
Least to greatest
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
negatives to positives
Please help me answer this :)?
A submarine dives 20 meters each minute for 15 minutes. What is the total change in depth after 15 minutes?
Answer:
300m
Step-by-step explanation:
20 Times 15=300
Tap to show graph...
the endpoints of a diameter are
(
2
,
12
)
(
2
,
12
)
and
(
−
10
,
−
4
)
(
-
10
,
-
4
)
Determine the number of real or non real solutions of the equation listed below
using the discriminant.
x2 + x + 4 = 0
Answer:
x =(-1+√-15)/2=(-1+i√ 15 )/2= -0.5000+1.9365i
Step-by-step explanation:
I got two answers
Chloe bought three pounds of strawberries for $16.80. What is the price, in dollars per ounce of strawberries?
Answer:
$5.60
Step-by-step explanation:
Each pound of strawberries costs $5.60.
To solve: $16.80 divided by 3
45 2/3 + 30 1/2 + 12 3/4=?
If BC = XY and XY = 8, then BC = 8
A Reflexive
B Transitive
Symmetric
none of the above
Answer:
Transitive
Step-by-step explanation:
It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.
ASAP
Which numbers are solutions of 4p+6<3p?
Choose exactly two answers that are correct.
−12
−9
−6
6
Answer:
See below
Step-by-step explanation:
Solving inequality:
4p + 6 < 3p4p - 3p < 6p < 63 of provided answers are correct:
-12, -9, -6If given correct, any combination of two can be shown as answer:
-12, -9-12, -6-9, -6Answer:
-12 and -9
Step-by-step explanation:
I just answered the problem on a quiz
what function does this graph represent
Answer:
it would be b
Step-by-step explanation:
-.2 will cause reflection so eliminate a and c
if you do -1 than it will translate down so it has to be b
Answer:
f(x)= 0.2 (x - 2)^2 + 1
Step-by-step explanation:
I did the test.
what is 1/11 divided by 4?(FRACTION FORM)
Answer: 1/44
Step-by-step explanation:
An account grows at an annual interest rate of r , so it grows by a factor of x=1+r each year. The function A(x)=800x 4 +350x 3 +500x 2 +600x gives the amount in the account after 4 years when the growth factor is x . What is the total amount in the account if the interest rate for the account is 3% each year? How much money was put into the account at the beginning?
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]
[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]
[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]
[tex]A(1.03)=2431.311498 [/tex]
[tex]A(1.03)\approx 2431.31 [/tex]
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]
[tex]A(1)=800+350+500+600[/tex]
[tex]A(1)=2250[/tex]
Therefore, 2250 was put into the account at the beginning.