The graph of y = x^3 + 6 is the result of shifting y = x^3 up 6 units
If f(x) = x^3, then g(x) = f(x) + 6 leads to g(x) = x^3+6.
The reason we shift up 6 is because we're adding 6 to the y coordinate.
Think of y = f(x), so f(x)+6 is the same as y+6.
Fill in the missing angles (GIVING BRAINLIEST, THANKS, and 15 Points)
Answer:
theres no picture availible
Step-by-step explanation:
A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?
Answer:
[tex]x = 14ft[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 21ft[/tex]
Model:
[tex]3\ ft = 2\ in[/tex]
Required
Determine the length of the replica
Represent the model as a ratio:
[tex]Ratio = 3\ in:2\ ft[/tex]
Convert to fraction
[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]
Represent the actual lengths as a ratio
[tex]Ratio = 21\ ft : x[/tex]
Where x is the length of the replica
Convert to fraction
[tex]Ratio = \frac{21\ in}{x}[/tex]
Equate both ratios (because they are in proportion)
[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]
[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]
Cross Multiply:
[tex]3 * x = 21 * 2\ ft[/tex]
[tex]3x = 42\ ft[/tex]
Solve for x
[tex]x = \frac{42ft}{3}[/tex]
[tex]x = 14ft[/tex]
Hence, the length of the replica is 14ft
The scatter plot shows a regression line of advertising dollars spent and sales. What advertising dollar has the greatest error term?
A) $250,000
B) $262,500
C) $275,000
D) $337,500
Answer:c
Step-by-step explanation:
Find all solutions of
- 2r +4-8=0
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
Describe something true about any pair of interior and exterior angles?
5−a+4a=
please show work :)
Answer:
5 + 3a
Step-by-step explanation:
5 - a + 4a =
5 + ( -a + 4a ) =
5 + ( 4a - a ) =
5 + ( 3a )
Help PLS anybody good at GEOMETRY?!
NUMBER 15
Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Company A is cheaper than Company B.
Answer:
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Step-by-step explanation:
Let the number of hours be represented by t
For Company A
Company A charges $45 per hour and a $150 equipment fee.
150 + 45t
For Company B
Company B charges $35 per hour and a $200 equipment fee.
200 + 35t
Write an equation for each situation, in terms of t,t, and determine
The interval of hours,t, for which Company A is cheaper than Company B is given as:
Company A < Company B
Hence:
150 + 45t < 200 + 35t
Collecting like terms
45t - 35t < 200 - 150
10t < 50
t< 50/10
t < 5
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Answer:
This is the correct answer on Delta Math
Step-by-step explanation:
Rewrite the following equation in standard form.
y + 7 = 2(x - 6)
Answer:
(-5)
Step-by-step explanation:
(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh
Marlene expects her gross income to be $54,000 this year, and she expects her required deductions to amount to $15,000. Her employer covers 90% of the cost of a $4800-per-year health insurance plan and 80% of the cost of a $900-per-year life insurance plan, with the remainder of the cost coming out of Marlene's pay, and Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan. She wants to calculate how much she will receive for each of her bimonthly paychecks.
Answer:
Marlene will receive $1,417.50 for each of her bimonthly paychecks.
Step-by-step explanation:
This can be calculated using the following 3 steps:
Step 1: Calculation of annual deductions to bear by Marlene
Required deductions = $15,000
Contribution to cost of health insurance plan per-year = $4800 * 10% = $480
Contribution to cost of life insurance plan per-year = $900 * 20% = $180
Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320
Step 2: Calculation of annual paychecks
Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020
Step 3: Calculation of bimonthly paychecks
Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50
Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.
susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
solve for answer z/7+19>3.5
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
Can someone please help
Answer:
2x+7
Step-by-step explanation:
F(x+3)=2(x+3)+1
F(x+3)= 2x+6 +1 =2x+7
6/8w= -9/3
solve for w
pls hurry I need help I will give brainliest
Answer: w=−4
Step-by-step explanation:
hoped this helped
Leon tried to solve an equation find leons mistake 1/2w-12=18
Step one : 1/2w=30
Step two: w=15
Answer:
They made a mistake of the value of W. If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.
Step-by-step explanation:W-
Answer:
Step two
Step-by-step explanation:
step one isn't wrong
and he infact made a mistake
please help meeeeeeeeeee
A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Find the slope and the y-intercept of the line.
- 9x+3y=-6
Answer:
slope is 3 and y intercept of -2
Step-by-step explanation:
6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2
Answer:
X= -4
Step-by-step explanation:
Hello. For to solve that, you need to use the sustitution method:
1. You need clear X in the first equation and put in the second
X+Y = -10
X = -10-Y
2. Y = X-2, then you replaced the X in this equation:
Y = (-10-Y) - 2
Y+2=-10-Y
2Y=-10-2
2Y= -12
Y= -12/2
Y=-6
3. Now you use the Y value for to solve X:
X=-10-Y, then
X =- 10-(-6)
X = -4
How many solutions does a system of equations have when solving results in the statement 3=5
Answer:
No solutions
Step-by-step explanation:
Answer:
they usually have the sum of an answer that they divided
Step-by-step explanation:
1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.
Answer:
-47 Feet
Step-by-step explanation:
He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.
a) -0.30103 b) -1.69897 c) 9.69897 d) 0.69897
Answer:
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]
Thus, option A is true.
Step-by-step explanation:
Given the expression
[tex]log\left(\frac{1}{2}\right)[/tex]
[tex]=\log _{10}\left(2^{-1}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]
[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]
so the expression becomes
[tex]=-1\cdot \log _{10}\left(2\right)[/tex]
[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]
[tex]=-\log _{10}\left(2\right)[/tex]
substituting the value of log 2 = 0.30103
[tex]\:=-0.30102[/tex]
Thus,
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]
Therefore, option A is true.
What is the equation of the line that passes through the point (3,5) and has a slope
of 2?
Answer:
y-5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
Answer:
y=2x-1
Step-by-step explanation:
trust me, it's that
PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
Answer:
ccccccccccccccccccccc
Answer:
y=2x+4
Step-by-step explanation:
If you look at the table y goes up by 2 every time x goes up by 1 and when x is 0 y is 4 so its y=2x+4
Help as soon as possible plz!
Answer:
a or c
Step-by-step explanation:
Answer:
it would be B
Step-by-step explanation:
because if you look at the x and y axis thats the x axis
Which set best describes the numbers used on the scale for a standard thermometer?
A real numbers
B whole numbers
C integers
D rational numbers
Which inequality is represented by this graph?
Answer:
The answer is D
Step-by-step explanation:
The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to
What is the value of x?
155
105
A. 55°
B. 160°
C. 50°
O D. 20°
Is the relation a function?
Answer:
Yes
Step-by-step explanation:
There is only one y value for each x value. That is the definition of a function.
Hope I helped!!!
Answer:
i believe all you have to do is divide the (x) nums into the (y) nums and if there whole nums it is a function
Step-by-step explanation:
The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.
Answer:
40 cm ; 30cm ; 20cm
Step-by-step explanation:
Given that:
Sides of a triangle are in the ratio 2:3:4
Let :
length of the sides = 2x, 3x, 4x
longest side = 4x
Mid side = 3x
Shortest side = 2x
Length of longest side is 20 cm longer than shortest side
4x = 2x + 20 - - (1)
4x - 2x = 20
2x = 20
x = 10
Hence,
longest side = 4x = 4*10 = 40 cm
Mid side = 3x = 3 * 10 = 30 cm
Shortest side = 2x = 2 * 10 = 20 cm