Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
9514 1404 393
Answer:
reflection over the x-axistranslation up 'e' units and right 3 unitsStep-by-step explanation:
The transformation ...
g(x) = a×f(x-h) +k
performs a vertical stretch by the factor 'a', and a translation by (h, k), which is h units right and k units up. When 'a' is negative, there is a reflection over the x-axis.
Here, we have 'a' = -1, h = 3, k = 'e'. So, the graph of f(x) has been ...
reflected over the x-axis
translated right by 3 units
translated up by 'e' units
__
Additional comment
We don't know if your 'e' is a typo. When talking about exponential functions, 'e' often refers to the base of natural logarithms, an irrational number approximately equal to 2.718281828459045...
Here's a graph of an exponential function transformed as you have indicated.
graph the equation below using slope intercept form y=-3x+8
Answer:
here is a graph from Desmos
Step-by-step explanation:
URGENT! PLEASE HELP!
Answer:
Here you go, I hope my hand writing is clear :D
The final answer is 4 hours longer
Beth saved $30 last summer while Carmen saved $80.what is the ratio of beths savings to Carmens
3:8
Step-by-step explanation:
So un-simplified the ratio is 30:80, but because that's not an option, we can simplify it by dividing both values by 10 and get D) 3:8. I hope this helps
Find the value of "k", given that one solution of the equation 5x^2-kx+40 is 4/5
Answer:
k = 2
Step-by-step explanation:
Given
5x² - kx + 40
Solution: ⅘
Required
Find k
If the solution is ⅘, then
5x² - kx + 40 = 0 where x = ⅘
Substitute ⅘ for x
5(⅘)² - k(⅘) + 40 = 0
5(16/25) - k(4/5) + 40 = 0
Multiply through by 25
5(16) - 5 * k(4) + 40 = 0
80 - 20k + 40 = 0
Collect like terms
-20k = 0 - 80 + 40
-20k = -40
Divide both sides by-20
k = 2
write standard equation of a circle.
Answer:
2,-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x-2)^2 + (y+5)^2 =5
5a
2y = 30
Complete the missing value in the solution to the equation.
(8,
Answer:
y=15
(8,15)
Step-by-step explanation:
[tex]2y=30[/tex]
Divide both sides by 2 to isolate y.
[tex]\frac{2y}{2} = \frac{30}{2}\\y=15[/tex]
Because y=15, the solution is (8,15).
I hope this helps!
Find angle 1 and angle 2
Answer:
m∠2 is correct, m∠1 is 85°
Step-by-step explanation:
Since, you already gave the angle for ∠2 in which it is vertical to the one shown, m∠1 must be 85° since you are finding the left angle to make a straight line of 180°
Which answer orders the number from least to greatest
a) -5, 1/2, 1.1
b) 1.1, -5, 1/2
c) 1.1, 1/2, -5
Answer:
a
Step-by-step explanation:
answer questions 11 and 12
really urgenttt
Answer:
11.) 135° 12.) 45°
Step-by-step explanation:
11.) When finding one interior angle, you will have to first find the sum of the interior angle using the formula:
Sum of interior angle = ( n - 2 ) 180° where "n" is the number of sides of that shape. So the working will be:
( 8 - 2 ) 180°
= 6 x 180°
Sum of interior angle = 1080°
To find the angle of one interior angle, divide it by the number of sides of that shape.
1080° ÷ 8 = 135°
∴ The measure of one interior angle is 135°
12.) To find the exterior angle, use the formula:
Exterior angle = 360° ÷ n where "n" is the number of sides of that shape. So the working will be:
360° ÷ 8 = 45°
∴ The measure of one exterior angle is 45°
Extra: You can check if the answer is correct by multiplying the answer you got for the exterior angle with the number of sides and that should give you 360°.
PLEASE HELP ASAP!!!!
The capacity of a water jug can hold 4 3/4 pints of liquid. How many cups is this?
Answer:
1.5
Step-by-step explanation:
Answer:
9.5 cups
Step-by-step explanation:
which describes the transformation of. ◇PQR to z◇P'Q'R
Answer:
shift 4 units to right and 5 units up
Step-by-step explanation:
Answer:
shift 4 units to right and 5 units up
Step-by-step explanation:
you have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by placing the fencing parallel to one of the sides. What is the largest possible area of the playground
Answer:
Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²
Dimensions; X = 250 ft and Y = 500/3 ft
Step-by-step explanation:
Given the data in the question;
2x + 3y = 1000 -------- EQU 1
2x = 1000 - 3y
x = 500 - 3y/2
AREA = x × y = (500 - 3y/2)y
= 500y - 3/2y²
dA/dxy = 500 - 3y = 0
3y = 500
y = 500/3
so from equ 1
2x + 3(500/3) = 1000
2x = 1000 - 500
x = 250
So; Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²
Dimensions; X = 250 ft and Y = 500/3 ft
Kevin wants to buy a new pair of jeans if the jeans were originally $40 but are on sale with 25% discount
how much will Kevin have to pay for the jeans?
Answer: Kevin will have to pay $30 for the jeans.
Answer:
He will have to pay 30$
Step-by-step explanation:
What number gives a result of -4 when 11 is subtracted from the quotient of the number and 5?
Answer:
35
Step-by-step explanation:
Write an algebraic equation to find the answer. Let x equal the unknown number.
We know that 11 must be subtracted from the quotient of the number and five. A quotient is the term used to describe a result from division - so the part "the quotient of the number and five" must be [tex]\frac{x}{5}[/tex]. Also, 11 needs to be subtracted from it - so this gives us [tex]\frac{x}{5} -11[/tex]. Finally, it's given that the expression gives a result of -4. So, the algebraic equation must be [tex]\frac{x}{5} -11 = -4[/tex].
To find the answer, let's isolate x:
[tex]\frac{x}{5} -11 = -4\\\frac{x}{5} = 7\\x = 35[/tex]
Therefore, the number must be 35.
please help me
i neeed an help from you guys
Which equation will solve the following word problem? Four roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1200/month and gas costs $50/month. Each roommate pays $345/month. How much is the electric bill per month?
($1200 + $50)/4 = E + $345
($1200 + $50 + $345)/4 = E
($1200 + $50 + E)/4 = $345
($345)4 + E = $1200 + $50
Given that,
Four roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1200/month and gas costs $50/month. Each roommate pays $345/month.
To find,
The electric bill per month.
Solution,
Bill of each roommates = $1200+$500+E, E is electricity bill
Total bill = $345/month
Bill of each roommates = 4($1200+$500+E), E is electricity bill
ATQ,
4($1200+$500+E) = $345
So, the correct option is (c).
what is Roman numeral of LXVX in number
Answer:
That is the number two (2)
Step-by-step explanation:
The total cost of three ice cream cones with
sprinkles is $15. The price of a single ice
cream cone is $4 plus the price of sprinkles, s.
Which equation represents the situation?
Answer:
15=3(4+s); s=1
Step-by-step explanation:
RUFF PLS HELP DONT HAVE TO BE RIHT ALSO IL GIVE BRAINLIST
Answer:
36 customers, 6 guides
Step-by-step explanation:
Given: We know that the total number of guides and customers combined is 42 people, and the ratio of customers to guides is 6/1 (Every 6 customers, there's 1 guide)
So how do we solve this?
One way you can solve this is by making a column. On one side, you put 6, and on the other, you put 1.
Here's an example (obviously, making a column with a keyboard is quite difficult):
6 | 1
What's 6+1?
7.
Now, we need to figure out how many groups of 7 can go into 42.
We can figure that out by dividing 42/7, which gives you 6.
So now let's go back to that column:
6 | 1
Since we know 6+1=7, we can make 6 rows of it:
6 | 1
6 | 1
6 | 1
6 | 1
6 | 1
6 | 1
We know that on the column 6 represents the customers, and 1 represents the guides. So, all we have to do left is either add or multiply (whichever you prefer). I'll show both ways:
Multiplying
We can multiply 6x6 for the left column to get 36. That's how many customers we have. And for the guides, we can multiply 6x1 and get 6. So now we know we have 36 customers and 6 guides.
Adding
On the left side of the column, we have six rows of 6. In order to figure out the amount of customers, all we need to do is add 6 six times. It should be like this:
6+6+6+6+6+6=36
To figure out the guides, we do the same thing, but instead of adding 6 six times, it's 1. (Hopefully for this, you won't need to rely on repeated addition. It's a lot easier to count for 1)
1+1+1+1+1+1=6
So now we know there are 36 customers and 6 guides.
pls help due at 11:59
Today, Thurber studies math for 15 minutes and he studies science for 75 minutes. From now on, Thurber
plans to study math for 50 minutes per day and to study science for 30 minutes per day. Will Thurber ever
have studied the same total amount of time for both math and science? Explain. Use the drop-down
menus to complete the sentence.
Answer:
Given:
Today, he studies 15 minutes math and 75 minutes science
and from now on, 50 minutes math and 30 minutes science
Step-by-step explanation:
so if he studies for 1 day total time for math and science will be
math=15+50 science=75+30
=65 minutes =105 minutes
2nd day,
math=65+50 science=105+30
=115 minutes =135 minutes
3rd day,
math=115+50 science=135+30
=165 minutes =165 minutes
So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.
In this exercise we have to use interpretation skills to calculate the total time that studied the two subjects:
[tex]165 \ both \ subjects[/tex]
Today, he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and science will be:
Math: [tex]15+50 = 65[/tex] Science: [tex]75+30= 105[/tex]
2nd day:
Math: [tex]65+50 = 115[/tex] Science: [tex]105+30 = 135[/tex]
3rd day:
Math: [tex]115+50= 165[/tex] Science: [tex]135+30= 165[/tex]
So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.
See more about basic math at brainly.com/question/11336992
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price relative is sold per kg to earn a profit of 20%
Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
What is the value of the expression?
11C7
9514 1404 393
Answer:
330
Step-by-step explanation:
nCk can be computed from the formula ...
nCk = C(n, k) = n!/(k!(n-k)!)
Here, that is
11C7 = 11!/(7!(11-7)!) = 11·10·9·8/(4·3·2·1) = 11·10·3 = 330
_____
Additional comment
Many graphing or scientific calculators have probability functions that will compute this for you.
Solve the following system of equations: (1 point) x − 2y = 14 x + 3y = 9
why there is a difference in the time spent per subject.
Find the value of f(5) for the function.
f(x)=−6(x+1)
Answer:
f(5) = -36
Step-by-step explanation:
Plug in 5 as x:
f(x) = −6(x + 1)
f(5) = -6(5 + 1)
Simplify:
f(5) = -6(6)
f(5) = -36
So, f(5) = -36
Building A is 879 feet tall and contains 67 stories. Building B contains 108 stories. If the two buildings have the same number of feet per floor, approximate the height of building B.
Answer:
Building B is about 1416.9 feet tall.
Step-by-step explanation:
Set up the following proportion:
[tex]\frac{879}{67}[/tex] = [tex]\frac{x}{108}[/tex]
Cross multiply.
879 x 108 = 94932
67 x x = 67x
67x = 94932
Divide by 67 on both sides.
x = 1416.9
I hope this helps!
the volume of a cube is 216 ft3 what is the length of a side
Answer:
Step-by-step explanation:
i think its 6
Answer:
6
Step-by-step explanation:
what is the coefficient in this mathematical expression 1/4 + 2.7 x³
Answer:
2.7
Step-by-step explanation:
A coefficient is the number multiplied by the variable and is frequently to the left of the variable.
Therefore, it is 2.7
Hope this helps :)
Use the distributive property to remove the parentheses
-5(-4y-w+3)
Answer:
Step-by-step explanation:
Original Equation:
-5(-4y - w + 3)
Multiply -5 by -4y
20y
Multiply -5 by -w
5w
Multiply -5 by 3
-15
Plug these values back into the equation
20y + 5w - 15
Hope this helps :)
The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The equation is given;
⇒-5(-4y - w + 3)
Step 1;
Multiply -5 by -4y
⇒-5×-4y
⇒20y
Multiply -5 by -w
⇒-5 ×- w
⇒5w
Multiply -5 by 3
⇒-5 × 3
⇒-15
Replenish the equation with these values
20y + 5w - 15
Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ2