Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
The table below shows the amount paid for different numbers of items.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 5. The second column is labeled y with entries 0.50, 1.00, 1.50, 2.50.
Determine if this relationship forms a direct variation. Verify your answer.
Answer:
Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5.
Step-by-step explanation:
That's the sample, I put:
Yes, a direct variation is when the ratio of y/x is constant and the rate of change is constant. In this example, the rate of change is seen as .50.
Answer:
a reference to the rate of change
a reference to the ratio of y over x
the constant of variation as 0.5
Step-by-step explanation:
If you apply these changes to the linear parent function, f(x)=x, what is the equation of the new function? Vertically compress by a factor of 4. Reflect over the x-axis . A. G(x) = 4 - x B. G(x) = - 1/4 * x C. G(x) = 1/4 * x D. G(x) = - 4x
Given:
The linear parent function, f(x)=x is vertically compressed by a factor of 4 and reflected over the x-axis.
To find:
The new function.
Solution:
The vertical stretch and compression is defined as
[tex]g(x)=kf(x)[/tex]
If k>1, then f(x) vertically stretched by factor k and if 0<k<1, then f(x) vertically compresses by factor [tex]\dfrac{1}{k}[/tex].
In the given problem, linear parent function, f(x)=x is vertically compressed by a factor of 4. So, [tex]k=\dfrac{1}{4}.[/tex]
[tex]g(x)=\dfrac{1}{4}f(x)[/tex]
Then, it is reflected over the x-axis.
[tex]G(x)=-g(x)[/tex]
[tex]G(x)=-\dfrac{1}{4}f(x)[/tex] [tex][\because g(x)=\dfrac{1}{4}f(x)][/tex]
[tex]G(x)=-\dfrac{1}{4}x[/tex] [tex][\because f(x)=x][/tex]
So, the new function is [tex]G(x)=-\dfrac{1}{4}x[/tex].
Therefore, the correct option is B.
Answer:g(x)=-1/4x
Step-by-step explanation:
6. 5x + 3x + 38+5x-10 180
Answer:
38
Step-by-step explanation:
Simplifying
6 + -5x + -3x = 38
Combine like terms: -5x + -3x = -8x
6 + -8x = 38
Solving
6 + -8x = 38
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -8x = 38 + -6
Combine like terms: 6 + -6 = 0
0 + -8x = 38 + -6
-8x = 38 + -6
Combine like terms: 38 + -6 = 32
-8x = 32
Divide each side by '-8'.
x = -4
Simplifying
x = -4
Answer:
I think the answer is 14.5x-132
Step-by-step explanation:
6.5x+3x+5x=14.5x
38+10-180=-132
=14.5x-132
WILL MARK BRAINLIEST PLS:
Give an example of a combination of two functions, f(x) and g(x), that would result in a rational function. Be sure to identify the function type for f(x) and g(x), as well as the operation used to combine them.
Answer:
fx=3x+7 gx=5x-8
Step-by-step explanation:
here i hope this helps im not 100% sure this is what you want but its what I think
AHH PLEASE
Solve for x.
x = 1.2 = 3
Enter your answer, as a decimal
There’s nothing you can do about x = 1.2 = 3, because it has two equal signs. You can’t solve an equation that has two equal signs :(
Write the expression as an algebraic expression of x that does not involve trigonometric functions:
[tex] csc({cos}^{ - 1} x)[/tex]
Answer:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Step-by-step explanation:
Please refer to the attachment.
We have:
[tex]\csc(\cos^{-1}(x))[/tex]
First, we will let:
[tex]\cos^{-1}(x)=\theta[/tex]
Then:
[tex]x=\cos(\theta)[/tex]
So, the adjacent side of our triangle is x and the hypotenuse is 1.
Then by the Pythagorean Theorem, the opposite side is given by:
[tex]x^2+o^2=1^2[/tex]
So:
[tex]o=\sqrt{1-x^2}[/tex]
Going back, we have:
[tex]\csc(\cos^{-1}(x))[/tex]
Since arccos(x) is θ:
[tex]=\csc(\theta)[/tex]
Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:
[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]
Hence:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
plz help me i will give you 50 points
Answer: 36
Step-by-step explanation:
First one
Answer:
see below
Step-by-step explanation:
36.196
tens ones. tenths hundredths thousandths
The greatest places is the tens place. We look one place to the right to the ones place. The number in the ones place is 5 or greater so the tens place goes up one place and the ones place becomes a zero
40
your aunt and uncle have been visiting at your home. five minutes after they drive away, you realize that they forgot their luggages you happen to know the drive slowly, so you get in your car and drive to catch up with them. Your average speed is 10 miles and hour faster that their average speed, and you catch up with them in 25 minutes. How fast did you drive.
When you catch up, the distance traveled is the same
Distance = rate x time
r = uncle's rate
30 min = 30/60 hr = uncle's time
25 min = 25/60 hr = your time
Uncle's distance = Your distance
(r)(30/60) = (r + 10)(25/60)
(r)(1/2) = (r + 10)(5/12)
r/2 = 5r/12 + 50/12
6r = 5r + 50
r = 50
Uncle's rate = 50 mph
Your rate = 50 + 10 = 60 mph
Write an equation in slope-intercept form that represents the data. Show ALL work.
1.)
0
1
2
Sales per
day(x)
Daily pay ($), y
100
105
110
115
11212
I
Equation
Answer:
y = 5x + 100
Step-by-step explanation:
Using the x and corresponding y values from the given table.
Let's use the coordinate (0, 100) and (1, 105)
The equation in slope intercept form is expressed as y = mx+c
m is the slope
c is the y-intercept
Slope m = y2-y1/x2-x1
m = 105-100/1-0
m = 5/1
m =5
Get the y intercept
Substitute the slope m = 5 and any point say (0, 100) into the equation
y = mx+c
100 = 5(0) + c
100 = c
c = 100
Get the required equation;
y = mx+c
y = 5x + 100
Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100
Simplify this expression.
–6w + (–8) + 1 + (–7w)
A. –w – 7
B. –13w – 7
C. w + 9
D. 13w + 9
HELP ME PLEASE
Answer:
B. -13w - 7
Step-by-step explanation:
Combine -6w and -7w together to get -13w as the first part of your answer since you are subtracting from a negative to get a negative answer and combine -8 and 1 together to get -7 since you are adding 1 from -8 to go up.
Answer:
d
Step-by-step explanation:
Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4
Step-by-step explanation:
d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2
then it is an arithmetic sequence
by using this equation :
a(n) = a1 +(n-1)d
and we have : a1=(1/4), d=(1/2)
So:
Explicit formula: a(n) = (1/4) +(n-1)*(1/2)
hope this helps
Answer:
Step-by-step explanation:
d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2
then it is an arithmetic sequence
by using this equation :
a(n) = a1 +(n-1)d
and we have: a1=(1/4), d=(1/2)
So:
Explicit formula: a(n) = (1/4) +(n-1)*(1/2)
Solve the system by the method of your choice. Write your answer as a coordinate point (x,
y)
-6x + 5y = -27
- 3x + 3y = -115
i am confused i don't know how to solve this maybe someone on here can solve it but here is it Solve. 21r<7
Answer:
r<-3
Step-by-step explanation:
Answer:
r < [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
21r < 7 ( isolate r by dividing both sides by 21 )
r < [tex]\frac{7}{21}[/tex] , that is
r < [tex]\frac{1}{3}[/tex]
Two bikers rode at a constant speed on a 150-meter track. The data here show each biker's distance for a certain part of the race. Who won the race and by how much?
Answer: 2 then 1
Step-by-step explanation:
Just did it
.
Which of the following numbers has the same absolute value as 86?
A.-86
B.0
C.-172
D.-43
Answer:
A. -86
Step-by-step explanation:
The absolute value is the distance a number has from zero.
Two numbers that are the same, except that one is positive and negative, will have the same absolute value.
So, -86 and 86 have the same absolute value of 86. This is because they are both 86 away from 0.
So, A is the correct answer.
Pls help me to solve this <3
11. -4, -2, 0, 2 this for y not x,y
12. 4, 0, 2, 1 this for y not x,y
<3
What is 10x-2(4x+5)+6
Answer:
2x - 4
Step-by-step explanation:
Expand the brackets.
10x - 2(4x+5) + 6 = 10x - 8x - 10 + 6
Evaluate like terms.
10x - 8x - 10 + 6 = 2x - 4
Answer:
Step-by-step explanation:
10x-2(4x+5)+6 foil
10x-8x-10+6 combine like terms
2x-4
If you need to find x
2x=4 divide by 2
x=2
The sum of the angles of any triangle is
Answer:
180 degrees
Step-by-step explanation:
Anyone know the answer?
Answer:
-62
Step-by-step explanation:
Answer
46
Step-by-step explanation:
6(32)−8
=(6)(9)−8
=54−8
=46
What is the product?
(-3s+2t)(4s-t)
Answer:
- 12s² + 11st - 2t²
Step-by-step explanation:
Given
(- 3s + 2t)(4s - t)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s² + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
Use the properties of logarithms
Rewrite the following in the form log(c).
5log(2)
Answer: [tex]5\log(2)=\log(2^5)[/tex]
Step-by-step explanation:
According to the properties of logarithms, we have
To rewrite : [tex]5\log (2)[/tex] in the form of log(c).
Therefore,
[tex]\leq 5\log(2)=\log(2^5)[/tex] [[tex]\because\ n\log(m)=\log(m^n)[/tex]]
Hence, [tex]5\log(2)=\log(2^5)[/tex] .
if the area of a circle is 98
Answer:
[tex]7 \sqrt{2} [/tex]
Step-by-step explanation:
given : area =98π
we know area of a circle = π r^2
hence
πr^2=98π { cancelling both π }
r^2=98
[tex]r = \sqrt{98} [/tex]
[tex]r = 7 \sqrt{2} [/tex]
hope it helps
The number of students that earn straight A's decreases by half
each year. Currently there are 20 students who have all A's. Write
an equation to represent this scenario.
Step-by-step explanation:
20 ÷ 2 = S
S represents the students that have straight A's the next year. You would simply divide the current number of students by 2 and it will give you half the student number you had before. And those are the students who still are getting straight A's.
The container that holds the water for the football team is 1/2 full. After pouring out 3 gallons of water, it is 1/3 full. How many gallons can the container hold?
Answer:
18 gallons
Step-by-step explanation:
1/6 of container is 3 gallons
so 6/6 is 18 gallons
Hope this helps. Pls give brainliest.
Helpppp fasttt!!!!!!!!
Answer:answer is the first one
Step-by-step explanation:
Collect like terms such as grouping the t and s variables together. The -3 should be included in the equation. Solution in pic below.
Helpppppppppppp meeeeeee
Answer:
7
Step-by-step explanation:
Mrs Wall usually buys 12 pints of milk each week and pays her milkman £3.72. One week she had visitors and ordered an extra 3 pints. How much was her bill?
Answer:
£4.65 is her bill
Step-by-step explanation:
Here, we firstly need to calculate the unit price of a pint
Mathematically, in this case, that will be 3.72/12 = 0.31
ordering 3 extra pints means she would be buying a total 15
The price of this will be;
0.31 * 15 = £4.65
Find the value of x.
Answer: 113
Step-by-step explanation:
65 + 48 = x
x = 113
2×2=
Have a nice night.
Answer:
4
Step-by-step explanation:
GivenG(x)=4X+4Find G(4)
Answer:
g(4) = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 4x + 4
g(4) is x = 4
Step 2: Evaluate
Substitute in x: g(4) = 4(4) + 4Multiply: g(4) = 16 + 4Add: g(4) = 20