We can define a function f(x) with a domain of all real numbers (−[infinity],[infinity]) and a range of [-11,3].
Let's start by defining our function f(x):
f(x) = [-11,3]
Now, let's define our new function g(x):
g(x) = f(6x) + 1
This means that the range of g(x) is the range of f(x) plus 1, so the range of g(x) is [-67, 19]. In interval notation, this can be expressed as [-67, 19].
We can define a function f(x) with a domain of all real numbers (−[infinity],[infinity]) and a range of [-11,3]. To generate a new function, g(x), we can define it by g(x) = f(6x) +1. This means that the range of g(x) is the range of f(x) plus 1, so the range of g(x) is [-67, 19]. To express this in interval notation, we can write [-67, 19]. This means that the output of g(x) lies between the values -67 and 19. This new range can be found by multiplying each value in the range of f(x) by 6 and then adding 1 to each value. Therefore, the range of g(x) is [-67, 19] in interval notation.
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You are analyzing your bills in MERALCO for the consecutive months. Using your bill
at home express the amount per kwh (A) as a function of kilowatt per hour (k) consumed
for the last two consecutive months. Then create austerity plan for the next month.
(austerity measures taken to reduce spending)
Austerity
Plan
Bill for the last two consecutive months:
Create a rational inequality showing the relationship between the bill
in the last consecutive months:
List down the austerity measures to be undertaken to reduce the
electricity consumption:
Answer:
Php1000
Php2000
₱1000< ₱2000
*reduce using of appliances that's not important
*water conservation
*turning off electric equipment that is not often used like electric fan or light
Step-by-step explanation:
what is 1.5x=3 please
Answer:
x=2
Step-by-step explanation:
1.5x=3
divide both sides by 1.5
1.5 and 1.5 cancel out
3/1.5= 2
x=2
1.5 x 2= 3
this is correct
Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?
9514 1404 393
Answer:
2 to 3
Step-by-step explanation:
The ratio of side lengths is the square root of the ratio of areas:
32 to 72 = 4 to 9 . . . . simplified ratio of areas
Then the ratio of side lengths is ...
√4 to √9 = 2 to 3
HELP ME PLEASE
Marcla shoots an arrow that hits a bull's-eye 80 feet away. Before hitting the bull's-eye, the arrow reaches a
maximum height of 16 feet at the midway point, 40 feet.
Part 1 out of 2
If the bull's-eye is considered to be at (80, 0), what function (In Intercept form) could represent the path of
the arrow If x is the horizontal distance from Marcia and h(x) represents the height of the arrow in relation
to the horizontal distance?
The function is h(x)=
Next
Answer:
See answer below
Step-by-step explanation:
In this case, we can assume that this function follows a linear function. In this case, the general expression would be:
y = a + bx
Where:
a: Y intercept
b: slope of the function
To get the slope we need to apply the following expression:
b = y₂ - y₁ / x₂ - x₁
We already have two points, (80,0) and (40,16) from here, we can determine the slope:
b = 16 - 0 / 40 - 80
b = -16/40
b = -2/5
Now that we know the slope, we can determine the y-intercept if it have:
a = y - bx
Using any point, we can calculate it:
a = 0 - (-2/5*80)
a = 0 + 160/5
a = 32
With these two values, we can write the function:
h(x) = 32 - 2/5xHope it helps
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Answer:
Giant has the better deal
Step-by-step explanation:
4.00/ 12 is .3333333
6.00/20 is .30
so . 30 is less that .3333333333
therefore Giant has the better deal
a.Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.
b.Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
This isnt really answer able. Its really a opinion
Step-by-step explanation:
FREE POINTS
DOGWATER
BOXED
NEED HELP ON HOMEWORK ASAP
Answer:c
Step-by-step explanation:
3*1= 3 3*2=6 and so on
You bought 3/4 pound of fudge for 6.75. Write and solve an equation to find the cost of the fudge per pound.
Given:
You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.
To find:
The equation and solve the equation to find the cost of the fudge per pound.
Solution:
Let x be the cost of the fudge per pound.
You bought [tex]\dfrac{3}{4}[/tex] pound of fudge for 6.75.
[tex]\dfrac{3}{4}x=6.75[/tex]
[tex]3x=6.75\times 4[/tex]
[tex]3x=27[/tex]
Divide both sides by 3.
[tex]x=\dfrac{27}{3}[/tex]
[tex]x=9[/tex]
Therefore, the required equation is [tex]\dfrac{3}{4}x=6.75[/tex] and the cost of the fudge is 9 per pound.
-4x(5x +1)
this needs to be written in polynomials
Answer:
-20x^2-4x
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.
I don't understand this. Please help!!
Answer:
-2 5/8
Step-by-step explanation:
(3/8)/(1/-7) = (3/8)(-7/1) = -21/8=-2 5/8
Help ME PLEASE!!!!!!!!!!!
If half of the pizza was cut into thirds, and you ate 1 of the 3 slices left, you would have eaten 1/6 of the leftovers.
Try 1/6.
Find the standard deviation of the data set below. Round to the nearest tenth,
6, 5, 2, 5,8
Answer:
The standard deviation = 1.9
Step-by-step explanation:
standard deviation, ρ = sqrt ( [tex]\frac{sum(x_{i} - u)^{2} }{N}[/tex])
Where u is the mean of the data, [tex]x_{i}[/tex] each given value, and N is the number of data given.
Mean, u = [tex]\frac{6+5+2+5+8}{5}[/tex]
= 5.2
So that;
[tex](6-5.2)^{2}[/tex] = [tex](0.8)^{2}[/tex] = 0.64
[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04
[tex](2-5.2)^{2}[/tex] = [tex](-3.2)^{2}[/tex] = 10.24
[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04
[tex](8-5.2)^{2}[/tex] = [tex](2.8)^{2}[/tex] = 7.84
Sum = 18.8
So that;
[tex]\sqrt{\frac{18.8}{5} }[/tex] = [tex]\sqrt{3.76}[/tex]
= 1.9391
= 1.9
The standard deviation of the given data is 1.9
a-3.2=5.5 what does a equal??
Answer:
2.3
EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME
Step-by-step explanation:
Answer:
8.7
Step-by-step explanation:
just add 5.5 and 3.2
A baseball is thrown straight up in the air with an initial velocity of 2 m/s. Draw a picture that shows the path of the ball as it goes up and comes down. Label the initial velocity, the velocity at max. height, and the acceleration of the ball.
Answer:
e
Step-by-step explanation:
Find the zeros 7x(x-11)-2(x-11)=0
(x-11)(7x-2)=0
x=11 or x=2/7
Answer:
x = [tex]\frac{2}{7}[/tex], x = 11
Step-by-step explanation:
Given
7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term
(x - 11)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
A fish is swimming at a constant rate toward the ocean floor. The equation
y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
Answer: Y = 21
Step-by-step explanation:
in the rectangle ABCD, AC=2x+19 and BD=5x-2. Find the value of x. Diagram is not drawn to scale
howdy got another, typed the question this time so it'll be easy for others to find it as well :)
Answer: x=7
Step-by-step explanation:
AC=BD
2x+19=5x+2
19-2=5x-2x
21=3x
x=21/3
x=7
PLSSSSSSS HELP ME CORRECT ANSWER
Answer:
8 units
Step-by-step explanation:
The formula for the area of a parallelogram is base * height = area. You have that the height = 5 and the area = 40, so that means base * 5 = 40.
If base * 5 = 40, you know that base = 8. You can also solve this like an equation:
b * 5 = 40
divide both sides by 5
b = 40/5 = 8 units
Answer: 8 units
uwu ur mom i hate flagotgs fr THAT IS A JOKE NO I DONT PLWAASE IMSS EORRY
The sides of a triangle measure 7, 8, and 16. What type of triangle is it?
Answer:
obtuse triangle
Step-by-step explanation:
Answer:
It is a obtuse scalene triangle.
Step-by-step explanation:
Equilateral: all three sides are equal
Isosceles: two sides are equal
Scalene: no sides are equal to each other
If a squared + b squared = c squared it is a right triangle
If a squared + b squared is less than c squared it is a obtuse triangle.
If a squared + b squared is more than c squared it is a acute triangle.
HELP THIS IS DUE TODAY
I'm stuck on this.
Step-by-step explanation:
couldn't find the answer but try to get photo math on your phone it would surely help
Answer:
x = 0, y = -4
x = 1, y = -1
x = 2, y = 2
x = 3, y = 5
Step-by-step explanation:
just plug in the x value to get the y smh
if u get it wrong its not on me
Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answer:
Step-by-step explanation:
57x2/(12+7)=6
(2x6)+(8+4)+1
With explanation
Answer: 25
Step-by-step explanation:
6 x 2 = 12
8 + 4 = 12
therefore, (2 x 6) + (8 + 4) + 1 = 12 + 12 + 1
which gives 25
The first triangle is dilated to form the second triangle.
Select True or False for each statement.
Statement True False
The scale factor is 0.25.
True – The scale factor is 0.25.
False – The scale factor is 0.25.
The scale factor is 4.
True – The scale factor is 4.
False – The scale factor is 4.
A right triangle with a hypotenuse of 4.4. An arrow points to a smaller right triangle with a hypotenuse of 1.1
Answer:
Both true
Lelelelellele
Simplify: |72 - 9 • 7| - 8|16 - 2|
Answer:
answer is -103
Write an equation in y intercept form for the line with slope 3/5 and y intercept: -2. Then graph the line.
Please help asap!!
Answer:
y=3/5x-2
Step-by-step explanation:
What number is 16% of 576 in a fraction ?
Answer:
92 4/25Step-by-step explanation:
16% of 576
=16/100 x 576
=2304/25
=92 4/25
Write a percent proportion for the bar diagram
shown.
Answer:
If 68% is 17 then 100 percent is 25 I think
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
68% = 17
100% = 25
The percent proportion for the bar diagrams are:
17and 25.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
There are two bar diagrams.
Blue bar diagram:
68% = 17
Red bar diagram:
68% = 17
Multiply both sides by 100/68.
100% = 100/68 x 17
100% = 25
Thus,
68% = 17
100% = 25
The percent proportion for the bar diagrams are:
17and 25.
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I need help how to get the answer please help!
Answer:
w=10
Step-by-step explanation:
You would have to set 5w-4=46.
5w-4=46
Add 4 to both sides
5w=50
Divide both sides by 5
w=10
Answer:
W=10
Step-by-step explanation:
5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there
What is 8 fewer than the difference of d and 10
Answer:
subtract 8 from -10
answer: d-18
Emilio earns $15 per hour at one job and $18 per hour at a second job. He works for 3 hours at the first job and 90 minutes at the second. What is his average hourly pay rate?