The rate of change of the function is -4.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).
Consider the two points (1,15) and (2,11).
The rate of change of the function is nothing but the slope of the line passing through the points (1,15) and (2,11) which is:
m = (11 - 15)/(2 -1)
m = -4
Hence, the rate of change of the function is -4.
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solve by graphing
2x+4y=8
2x-y=2
point to where they intersect ( , )
Is there anybody here good at medical terminology??? pls I need help on one of my questions.
Answer:
I could try.
Step-by-step explanation:
How do I figure this out?
it is 1 2 twelve I can end without 20 word my friend so deal with it
9, 18, 36... Find the 6th term. The first three terms of a sequence are given. Round to the nearest thousand (if necessary).
Spoorthi plants 5 tree seedlings for every 3 that Hammad plants. If Hammad planted 6 trees in a minute, how many did Spoorthi plant?
Which statement correctly describes the relationship between the lengths of the sides of the triangle shown below?
A. y squared equals x squared minus z.
B. y squared equals x squared minus z
squared.
C. x squared equals y squared plus z.
D. y plus z is equal to x squared.
Answer:
B. on edge 2021
Step-by-step explanation:
On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?
Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]
Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]
Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]
[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]
Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2
Answer:
㏒(2x²) = ㏒(2) + 2㏒(x)
Step-by-step explanation:
As given, ㏒(2x²)
As we know that ㏒(MN) = ㏒(M) + ㏒(N)
⇒㏒(2x²) = ㏒(2) + ㏒(x²)
As we know that ㏒(xⁿ) = n㏒(x)
⇒㏒(2x²) = ㏒(2) + 2㏒(x)
∴ we get
㏒(2x²) = ㏒(2) + 2㏒(x)
Find the value of X and Y
Answer:
x = 30
y = 5
Step-by-step explanation:
Because the top triangle shows 3 congruent angles, we know it's an equilateral.
Therefore 8y = 40
y = 5
______________
Now we have two sides of the triangle: 40 and 80.
The lower left angle of the whole triangle must be 90 degrees because if the hypotenuse is twice the adjacent side, it must be a 30-60-90 triangle.
So, the larger angle containing angle x must be 90 degrees. And because we know that the adjacent angle (equilateral triangle) is 60 degrees, angle x must be 30.
Given the graph below, the equation in slope-intercept form is
Answer:
F(x)=-1x-5
Step-by-step explanation:
The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.
What is the slope of the line that passes through the points (4, 2) and (-16, -10)? Write your answer in the simplest form.
Answer:
the answer would -3/1 or -3
THIS IS THE CORRECT ANSWER!!!
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours, to the nearest whole number?
Answer:
12,720
Step-by-step explanation:
5300 times 2.4 = 12,720
The lines represented by the equations y
3x + 5 and 5y– 15x = -10
are?
Answer:
#1 - y (0, 5) x (1, 8)
#2 - y (0, -2) x (1, 1)
(things in brackets are coordinates for the line)
Step-by-step explanation:
hope that helps :)
:
(2x – Зу = 18
(2x + y = 2
Answer:
2x = 2 × 12 = 24 24 =2x 24-6=18
3y = 3 × 2 = 6 6 =3y
2x = 2×1 = 2 2 =2x 2+0=2
y = 0 0 = y
Step-by-step explanation:
I'm not sure how the question is mentioned in the test but from my point of view I got this not sure how the it is explained in your nest im only 11 so yeh. sos if its wrong
Answer:
y = -4
x = 3
Step-by-step explanation:
I will be using the elimination method to solve this:
Begin by times -1 to the bottom equation.
[tex]2x-3y=18[/tex]
[tex]-2x-y=-2[/tex]
Add them together
[tex]0x-4y=16[/tex]
ignore the 0x and divide -4 to both sides
[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]
y = -4
Plug y back into one of the two original equations
[tex]2x-3(-4)=18[/tex]
multiply -3 and -4 to get +12
[tex]2x+12=18[/tex]
subtract 12 to both sides
[tex]2x=6[/tex]
divide by 2 to both sides
x = 3
Peter weighs 105 kg. He wants to lose 500 g per week. How many weeks will it take for him to have
a mass of 90 kg?
Answer:
It will take peter 30 weeks to weigh 90kg
Step-by-step explanation:
Answer:
30 weeks
Step-by-step explanation:
500g =0.5kg so 105-90=15
15*2=30
pls thanks
Please help! I need help
Answer:
median is 32 and the mean is 21
Which expression is equivalent to 8(7m - 9p)?
Answer:
8(7m-9p) = 8(7m) - 8(9p)
= 56m - 72p
Let me know if this helps!
Answer:
56m-72p
Step-by-step explanation:
8(7m-9p) = 8*7p + 8*-9p = 56m-72p
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it.
At the end of the 4 years, how much interest in dollars and cents did the account earn?
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
A: 6
B: 16
C: 2
D: -12
Step-by-step explanation:
They are asking you to multiply the equations:
(3x^2 + 2x - 3)(2x + 4)
Distribute and you should get:
6x^3 + 16x^2 + 2x - 12
The Coefficients A,B,C, and D are 6, 16, 2, and -12.
an ice skating rink rents out skates for 5.50 per hour you have 22.00 to spend how many hours can you rent a pair of skates?
please help solve for x ................................................................
Answer:
104°+33°+(5x+13)°=180°[all angle sum is 180°]
137°+(5x+13)=180°
137°+13+5x=180°
150°+5x=180°
5x=180°-150°
5x=30
x=30/5
×=6
Answer:
x = 6
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
5x + 13 + 104 + 33 = 180, that is
5x + 150 = 180 ( subtract 150 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
The four of you split the cost of materials you bought for your lemonade stand if the total cost was 85$ how much did you each pay? (Please I need help)
Solve for x solve for x solve for x
Answer:
91
Step-by-step explanation:
add the given numbers then subtract the solutions from 180. as all triangles sides add up to 180.
Answer:
the answer is x= 91
This I need help ur help
Answer:The answer is -4
Step-by-step explanation:-4+-5=-9
Answer:
-4
Step-by-step explanation:
your basically adding
Angle is in standard position and (-5, -7) is a point on the terminal side of 0.
What is the exact value of sec 0 in simplest form with a rational denominator?
Answer:
Step-by-step explanation:
Don't use 0 as a substitute for θ. 0 is always 0.
cosθ = -5/(2√15)
secθ = 1/cosθ = -2√15/5
The exact value of sec θ is -8.6/5.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Point(-5, -7).
Here, x= -5 and y= -7
So, r = √x² + y²
r= √(-5)² + (-7)²
r= √25 + 49
r = √74
r= 8.6
So, sec θ= H/ B
= r/x
= 8.6/ (-5)
= -8.6/ 5
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Please help this was due yesterday!
Answer:
a) <
b) <
c) >
d) <
e) >
Step-by-step explanation:
Match, each of the given measures to the correct side or angle 11, 7.5, 13
Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour. What will your average hourly wage be? Enter your answer up to two decimal places.
Answer:
13.75
Step-by-step explanation:
The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):
(0.6 × 11) + (0.25 × 19) + (0.15 × 16) = $13.75.
A salesperson at a jewelry store earns 3% commission each week. Last week, Jarrod sold $750 worth of jewelry. How much did he make in commission?
Answer:
hello what are you telling here............
Step-by-step explanation:
Can I please have some help with this question
Answer:
60
Step-by-step explanation:
2a is more than 90 so it is more likely to be 120
so divide that by 2 and 60
Answer:i think a=120