Answer:
x=37 Hope this helped <3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+7=2(x−15)
x+7=(2)(x)+(2)(−15)(Distribute)
x+7=2x+−30
x+7=2x−30
Step 2: Subtract 2x from both sides.
x+7−2x=2x−30−2x
−x+7=−30
Step 3: Subtract 7 from both sides.
−x+7−7=−30−7
−x=−37
Step 4: Divide both sides by -1
Answer:
[tex]\boxed {x = 37}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x + 7 = 2(x - 15)[/tex]
-Use Distributive Property:
[tex]x + 7 = 2(x - 15)[/tex]
[tex]x + 7 = 2x - 30[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:
[tex]x + 7 - 2x = 2x - 2x - 30[/tex]
[tex]-x + 7 = -30[/tex]
-Subtract [tex]7[/tex] to both sides:
[tex]-x + 7 - 7 = -30 - 7[/tex]
[tex]-x = -37[/tex]
-Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]
[tex]\boxed {x = 37}[/tex]
So, the value of [tex]x[/tex] is [tex]37[/tex].
find the inverse of f(x)= 5/6x +10
Answer:
f − 1 (x ) = x/6 + 5/ 6
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s b
Step-by-step explanation:
. The wavelength of green light is about 0.00000051 meter. What is this estimated
wavelength as a single digit times a power
of 10?
Answer:
5×10^-7
Step-by-step explanation:
The most significant digit (5) of the number 0.00000051 is in the 7th place to the right of the decimal point. The power of 10 associated with that decimal place is -7.
0.00000051 m ≈ 5×10^-7 m
What is a function Inverse
Answer:
an inverse function (or anti-function) is a function that "reverses" another function
Step-by-step explanation:
Answer:
an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.
Help me with this problem
2x-18=-10
Answer:
Step-by-step explanation:
18 is negative so add 18 to both sides
2x=8
so the answer would be 4 because
4 x 2= positive 8
hope that helped!!
A garden table and a bench cost $600 combined.
The cost of the garden table is three times the cost of the bench.
What is the cost of the bench?
Answer:
$150
Step-by-step explanation:
A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.
Let [tex]x[/tex] = the cost of the bench.
Again, since the cost of the garden table is three times the cost of the bench ([tex]x[/tex]), we can represent the garden table as three times [tex]x[/tex] ([tex]3x[/tex]). These two terms will equal $600 when added, so let's formulate an equation:
[tex]3x+x=600[/tex]
Combine like terms:
[tex]4x=600[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:
[tex]x=150[/tex]
_
Check your work by substituting [tex]150[/tex] into the original equation:
[tex]3(150)+(150)=600[/tex]
[tex]450+150=600[/tex]
[tex]600=600[/tex]
Our answer is correct!
-19+-16+19--16x5=what
What is the value of x in the equation x+12 over 4 =6
Answer:
x=12
Step-by-step explanation:
first remove the four by multiplying it and then cancel out the 12 as well to get 12 as an answer. double check by replacing x with 12 and see if it equals 6.
Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.
arrowRight
arrowRight
arrowRight
arrowRight
3x > 15
2x > 12
x + 1 < 8
7x < 42
i need answers asp
Answer:
Step-by-step explanation:
3x > 15 2x > 12 x + 1 < 8 7x < 42
/3 /3 /2 /2 -1 -1 /7 /7
x > 5 x > 6 x < 7 x < 6
Determine whether the ratios are proportional.
10/12 , 15/18
Answer:
yes, these ratios are proportional.
Step-by-step explanation:
yes they are! proportional ratios are like equivalent fractions.
10/12 is equal to 5/6
15/18 is also equal to 5/6
What is the factor 4x^2-9
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
+
3
)
(
2
x
−
3
)
Step-by-step explanation:
The graph shows the reciprocal parent function
The function has no intercepts.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The x-intercept is the point on the x-axis when y= 0.
The y-intercept is the point on the y-axis when x= 0.
We see that,
There is no point on the x-axis or y-axis that the graph is touching.
So,
We can say that,
There are no x-intercepts and y-intercepts.
Thus,
The function has no intercepts.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
help plezz if u can it counts as a grade
EDGE 2020 The average monthly high temperatures for Phoenix, Arizona from the years 1981-2010 are shown in the table below, with the value 1 representing the month of January, and the value of 12 representing the month of December. Complete the following steps to model the curve using the sine function.
a. Make a scatterplot of the data.
b. What is the minimum temperature in the data set?
c. What is the maximum temperature in the data set?
d. What is the vertical shift, k, for the data set?
e. What is the amplitude, a, for the data set?
f. What is the period and frequency factor for the data set?
g. What is the phase shift for the data set?
h. Write an equation using the sine function that models this data set.
i. When would you expect the temperature in Phoenix to be 82°?
Answer:
a. Please find attached the required scatter plot
b. The minimum temperature in the data set is 67°F
c. The maximum temperature in the data set is 106°F
d. The vertical shift for the data set is 67°F
e. The amplitude 19.5 °F
f. The period is 12 months, the frequency = 1/12 months
h. The sine function equation that models the data set is 19.5·sin(π·t/6 - π/2) + 86.5
i. After the second and before the third month or after the ninth and before the 10th month
Step-by-step explanation:
The equation for the sinusoidal variation of temperature with time can be presented as follows;
y = A·sin(Bt + C) + D
Where;
A = The amplitude = (The Maximum value - The minimum value)/2
The amplitude = (106 - 67)/2 = 19.5°F
B = 2·π/(The period) = 2·π/12 = π/6
t = The time in months
C = The phase shift = -π/2
D = The midline = (The Maximum value + The minimum value)/2 = (106 + 67)/2 = 86.5 °F
The equation that models the data = 19.5·sin(π·t/6 - π/2) + 86.5
When the temperature is 82°, we have;
82 = 19.5·sin(π·t/6 - π/2) + 86.5
82 - 86.5 = 19.5·sin(π·t/6 - π/2)
-4.5°F = 19.5·sin(π·t/6 - π/2)
sin⁻¹(-4.5/12) = π·t/6 - π/2
-0.3844 = π·t/6 - π/2
-0.2329 = π·t/6 - π/2
t = 2.55 or 12 - 2.55 = 9.44
Which is either after the second and before the third month or after the ninth and before the 10th month.
In this exercise we have to use the function knowledge to calculate the temperature that is requested in each alternative, so we have to:
a. The answer is in the scatter plot
b. The minimum is 67°F
c. The maximum is 106°F
d. The vertical shift is 67°F
e. The amplitude 19.5 °F
f. The frequency is 1/12 months and the period is 12.
h. The sine function equation that models the data set is [tex]19.5sin(\pi t/6 - \pi /2) + 86.5[/tex]
i. After the second and before the third month or after the ninth and before the 10th month
The equation for the sinusoidal variation of temperature with time can be presented as follows;
[tex]y = Asin(Bt + C) + D[/tex]
Where;
A = [tex](106 - 67)/2 = 19.5\°F[/tex]B = [tex]2\pi /(T) = 2\pi/12 = \pi/6[/tex]t = 12 C = [tex]\pi/2[/tex]D = [tex](106 + 67)/2 = 86.5 \°F[/tex]The equation that models the data is given by:
[tex]19.5sin(\pi t/6 - \pi/2) + 86.5[/tex]
When the temperature is 82°, we have;
[tex]82 = 19.5sin(\pi t/6 - \pi/2) + 86.5\\82 - 86.5 = 19.5sin(\pi t/6 - \pi/2)\\-4.5\°F = 19.5sin(\pi t/6 - \pi/2)\\sin^{-1}(-4.5/12) = \pi t/6 - \pi /2\\-0.3844 = \pi t/6 - \pi /2 \\-0.2329 = \pi t/6 - \pi /2\\t = 2.55 \ or \ 9.44[/tex]
Which is either after the second and before the third month or after the ninth and before the 10th month.
See more about temperature at brainly.com/question/15267055
what is the total edge length of a cube with a side length of 3
Answer:
72 units
Step-by-step explanation:
a cube has the same length as each edge so because there are 6 sides with 4 edges, and each edge has a length of 3 units, 3 units * 4 edges * 6 sides = 12 total edge length per side * 6 sides = 72 total edge length
A pound of chocolate costs 7 dollars. Deandre buys p pounds. Write an equation to represent the total cost (c) that Deandre pays.
Answer:
C=7(p)
Step-by-step explanation:
Answer:
c=7p
p=pounds
c=costs
w=r-47/-4
if w=8 what is the value of r
Answer:
r=-15/4
Step-by-step explanation:
Express the following equation in slope-intercept form:
y+41 =
4
(x+16)
Select the best answer from the choices provided.
OA
4
y=-x+18
11
OB.
4
y=- - X+-26
11
Ос.
11
y=- - *+-19
4
D.
11
y= - X+3
4
Answer:
y=4x+23
Step-by-step explanation:
sorry cant choose answer choice ..i ant tell which is which...bu i think you should by now....
i hope this stilled helped
100 points to whoever can answer this: A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. PLEASE SEND HELP I DO NOT UNDERSTAND THIS PROBLEM ALGEBRA IS SOOOOOO HARRRRD!!!!!!!!!!!!!!!!!!!!!!! thanks
Answer:
27*2/3=18
18*2/3=12
Step-by-step explanation:
I would look at the ratio of two terms
and the difference of two terms
to see if there might be a pattern
for example, 27, 18, 12
the difference between 27 and 18 is 9
the difference between 18 and 12 is 6
That is not a constant difference.
Let's try ratios:
27/18 = 1.5
18/12 = 1.5
that looks promising... we get the same ratio
so on the next bounce, expect
18/x = 1.5
maybe it's easier if we flip the ratio 1.5 (3/2) to 2/3 and so
18= 2/3 * 27
12= 2/3* 18 = 2/3 * 2/3 * 27
If we try to make a pattern
first peak = (2/3)^0 * 27
2nd peak = (2/3)^1 *27
3rd peak = (2/3)^2 * 27
Answer:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Step-by-step explanation:
Sample response :)
42 is 84% of what number
Answer:
50
Step-by-step explanation:
Because 84% out of 50 is 42
5. Use the two given points and calculate the slope.
(3, 4), (5,9)
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:
(3,4): [tex]x_{1}, y_{1}[/tex]
(5,9): [tex]x_{2}, y_{2}[/tex]
Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]
And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]
Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].
Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.
Answer:
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]
However, - × - equals +
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
help please i don’t know which one it is
Answer:
D
Step-by-step explanation:
The formula matches up with the sequence. If you want to find f2 you look to f1 which is 8. Then you subtract by 2. This means to get f1, f0 would have to be 10 because 10-2 is 8.
Help me solve this problem please
Answer:
1,2 and 5
Step-by-step explanation:
hope, it will help
Simplify and write the answer as product of powers of prime numbers:
Answer:
here man let me is 1 im sure the answer is =((1))
Step-by-step explanation:
6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))
Ally works in a shop for 18$ per hour. She is not allowed to work more than 40 hours a week but has to work atleast 20 hours. State a reasonable domain for this problem
Answer:
Hi there!
The domain is:
20<=x<=40
Step-by-step explanation:
18$ per hour
x is hours worked
The domain is:
20<=x<=40
This says that:
x=>20
x<=40
Which fits the problem!
Hope this helps
I need some help with this equation.
Answer:
I think that the answer is C) or the last one
I think it's the second one
Help, dont understand
Answer:
its B
Step-by-step explanation:
What is the greatest common factor of 45, 50, 84?
Answer:
the greatest common factor is B - 1
Step-by-step explanation:
not 5 because 85 doesn't end with 0 or 5
not 3 because 5+0 doesn't equal a multiple of 3
not 2 because 45 is odd
not 0 because that's never an answer
Please solve this question.(Quadratic equation)
Answer: 28
Step-by-step explanation:
Let x represent the digit in the tens place and y represent the digit in the ones place. xy → 10x + y
The square of the sum of the digits is 100.
EQ1: (x + y)² = 100 → x + y = 10
2 is subtracted from 3 times the number is the digits reversed.
EQ2: 3(10x + y) - 2 = 10y + x → 30x + 3y - 2 = 10y + x → 29x - 7y = 2
Solve the system of equations using the Elimination method:
EQ1: x + y = 10 → 7(x + y = 10) → 7x + 7y = 70
EQ2: 29x - 7y = 2 → 1(29x - 7y = 2 → 29x - 7y = 2
36x = 72
÷36 ÷36
x = 2
Substitute x = 2 into either of the equations to solve for y.:
EQ1: x + y = 10
2 + y = 10
y = 8
The digit is: 28
