Which line has the greatest rate of change?
A. The line passing through (0, 2) and (4, 10)
B. The line passing through (0,5) and (2,8)
C. The line passing through (0,0) and (3,-4)
D. The line passing through (0,6) and (12,9)
Answer:
I thought it was the last one but I mean if it was wrong sorry
Greetings from Brasil....
The rate of change between 2 points is obtained through the expression:
m = ΔY/ΔXm = (Y₂ - Y₁)/(X₂ - X₁)a) (0, 2) and (4, 10) so, X₁ = 0; X₂ = 4; Y₁ = 2 and Y₂ = 10
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (10 - 2)/(4 - 0)
m = 8/4 = 2
b) (0,5) and (2,8) so, X₁ = 0; X₂ = 2; Y₁ = 5 and Y₂ = 8
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (8 - 5)/(2 - 0)
m = 3/2
c) (0,0) and (3,-4) so, X₁ = 0; X₂ = 3; Y₁ = 0 and Y₂ = - 4
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (- 4 - 0)/(3 - 0)
m = -4/3
d) (0,6) and (12,9) so, X₁ = 0; X₂ = 12; Y₁ = 6 and Y₂ = 9
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (9 - 6)/(12 - 0)
m = 3/12 ⇔ m = 1/4
Among all the values above, the largest is 2, so points
(0; 2) and (4; 10)
A triangle has sides 6cm, and 7cm, use Pythagorean Theorem to figure out its hypotenuse.
Answer:
c= 9.2
Step-by-step explanation:
a^2 +b^2=c^2
6^2 + 7^2 = c^2
36+49 =85
= 9.2
Than take 85 and [tex]\sqrt{85)[/tex]you have to make sure you square the number so it will be accurate.
c=9.2
i hope this helped
Find the length of side AB.
Give your answer to 1 decimal place.
12 cm
62°
А
B
The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.
What is the length of the side AB given the angle B and side BC as in the image attached to the task content?It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.
Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;
Cos 62 = adjacent/ hypothenuse
Cos 62° = AB/12
AB = 12 Cos 62°
AB = 12 × 0.4695
AB = 5.63
Read more on trigonometric ratios;
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Help please. what is 6=3x²
Answer:
x=√2 or x=−√2
Let's solve your equation step-by-step.
6=3x2
Step 1: Subtract 3x^2 from both sides.
6−3x2=3x2−3x2
−3x2+6=0
Step 2: Subtract 6 from both sides.
−3x2+6−6=0−6
−3x2=−6
Step 3: Divide both sides by -3.
−3x2
−3
=
−6
−3
x2=2
Step 4: Take square root.
x=±√2
x=√2 or x=−√2
A rental company rents big-screen televisions for $22 down plus $4 a day. If the final bill is $46, how many days did you rent the television for?
Answer:
let the x no of days the television is rented
22+4x=46
4x=46-22
4x=24
x= 6days
Step-by-step explanation:
Write the three next natural numbers after 10999
Which value of y makes the equation 16 -y = 11 true?
Answer:
16-5=11
Step-by-step explanation:
I need help graphing this
=======================================================
Explanation:
The given equation y = (-2/3)x+1 is in the form y = mx+b
m = -2/3 is our slope
b = 1 is the y intercept
The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.
Another point can be found using the slope
Recall that slope = rise/run
Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.
The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.
The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.
Write the inverse of h(x) = e 2x
h -1(x) =
log e2 x
2log ex
½log ex
Answer:
C
Step-by-step explanation:
We are given the function.
[tex]h(x)=e^{2x}[/tex]
And we want to find its inverse.
Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:
[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]
In conclusion, our answer is C.
Note:
[tex]\ln(x)=\log_ex[/tex]
Please help me simplify this equation!
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, Great Oaks Trail or Salamander Trail?
Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
Hey guys since nobody ever helps me and my mom doesn’t I need help on this assiment thanks :)
At the start of the day there was £129.75 in the till. One hour later there is £145.50. How much money did the shop make in an hour?
Answer:
£15.75
Step-by-step explanation:
£145.50 - £129.75
Answer:
The shop keeper made 15.75$ in an hour.
Step-by-step explanation:
Minus 129.75-145.50
Solve the system of equations below.
Answer:
B
Step-by-step explanation:
So we have the system of equations:
[tex]x-2y=3\\2x-3y=9[/tex]
To solve, we can use the substitution method. First, add 2y to both sides in the first equation:
[tex]x=3+2y[/tex]
Now, substitute this into the secon equation:
[tex]2(3+2y)-3y=9[/tex]
Distribute the 2:
[tex]6+4y-3y=9[/tex]
Combine like terms:
[tex]6+y=9[/tex]
Subtract 6 from both sides:
[tex]y=3[/tex]
So, the value of y is 3.
Substitute this back into the original equation to find x. Thus:
[tex]x=3+2(3)[/tex]
Multiply:
[tex]x=3+6[/tex]
Add:
[tex]x=9[/tex]
So, our answer is (9,3)
And we're done!
The area of the rectangle
shown is 54 square units.
What is its perimeter
Answer:
perimeter of a square= 4 times square root of area
[tex]4 \sqrt{54} = 29.39[/tex]
Chris says that is halfway between 0.5 and 100%.
Is Chris correct? You must explain your answer
Answer:
yes because 0.5 is 50%
Step-by-step explanation:
3|4w-1|-5=10
Please help meee!
Answer:
[tex]w=\frac{3}{2} ,-1[/tex]
Step-by-step explanation:
[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]
here we have two cases
the number that give an absolute value of 5 are 5 and -5
so we have
[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]
and the other case
[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]
Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB = (9x - 5)º
mZBOC = (2x +11°
mZCOD = (6x + 10°
X=
Answer:
x = 5
Step-by-step explanation:
From the picture attached,
It's given that ∠AOB ≅ ∠COD
therefore, m∠AOB = m∠COD
Now from the given measures of the equal angles,
9x - 5 = 6x + 10
9x - 6x - 5 = 10
3x - 5 = 10
3x = 10 + 5
3x = 15
x = [tex]\frac{15}{3}[/tex]
x = 5
Therefore, measure of the angles given in the picture will be,
m∠AOB = (9x - 5)° = 40°
m∠BOC = (2x + 11)° = 21°
m∠COD = (6x + 10)° = 40°
Answer:guy who answered first is wrong the answer is x = 9
Step-by-step explanation:
What's the answer for this? I can't find the answer.
I believe the answer is 3/4.
Answer:
1/4+2/4=3/4 I believe so
[tex] \sqrt[3]{8 \times 10 {}^{15} } [/tex]
I'm not really sure how to start.
Answer:
see explanation
Step-by-step explanation:
[tex]\sqrt[3]{8.10^{15} }[/tex]
= [tex]\sqrt[3]{8}[/tex] × [tex]\sqrt[3]{10^{15} }[/tex]
= 2 × [tex]10^{5}[/tex]
= 200000
1-9.
Simplify each expression.
a. 42 + (-17)
b. 8-(-9)
c. 8(-9)
d. -42=(-7)
e.-2(-3)(-4)
f. -18-7
g. (-5)2
h. -52
i. 49
Answer:
hey
Step-by-step explanation:
i cant text u add me ok it deleted my answer
drey makes 10$ an hour plus 15$ an hour for every hour of overtime . overtime hours are any hours more than 40 hours for the week
Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week
Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.
Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours
i hope this helps you good luck :)
15.0 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number
Answer:
integers
Step-by-step explanation:
because integers are always in decimal form
daniel spent half of his paycheck on video games. to earn more money, he did chores at home and received $20. how much was his paycheck if he ended up with $56
Answer: His paycheck was $72.
Step-by-step explanation:
Let x = paycheck amount.
Given, Amount spent on video games = [tex]\dfrac x2[/tex]
Amount he has left of it = [tex]x-\dfrac x 2=\dfrac x 2[/tex]
Amount received = $20
Total amount amount he has left = [tex]\dfrac x 2 +20[/tex]
According to the question,
[tex]\dfrac x 2 +20 = 56\\\\\Rightarrow\ \dfrac x 2= 36\\\\\Rightarrow\ x= 2\times 36=72[/tex]
∴ His paycheck was $72.
What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to -2
all real numbers greater than or equal to -3
Answer:
Option (4)
Step-by-step explanation:
Domain:
Domain of function is defined by the x-values (Input values) on the graph.
Range:
Range of a function is defined by the y-values (output values) on the graph.
From the graph attached,
x-values are starting from (-3) to infinity.
Therefore, domain of the function will be all real numbers greater than equal to (-3).
Option (4) will be the answer.
Is 1.875 and rational number
Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density?
Answer:
Hey there!
Density = Mass/Volume
Mass= 6g
Volume=24 mL, which is 24 cm^3
Density= 6g/24 cm^3
Density=0.25 g/cm^3
Let me know if this helps :)
Answer:
0.25g/ml
Step-by-step explanation:
Mass=6g
Volume=24ml
Density=Mass/Volume
=6/24=1/4=0.25g/ml
Which term describes the solution to a multiplication problem? The describes the solution to a multiplication problem.
Answer:
The solution to a multiplication problem is called a product.
Step-by-step explanation:
Which of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?
Step-by-step explanation:
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find the sum of x2 + 3x and -2x2 + 9x +5.
Answer:
This is the answer
Step-by-step explanation:
Solving 3x2-9x-5 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -9
C = -5
Accordingly, B2 - 4AC =
81 - (-60) =
141
Applying the quadratic formula :
9 ± √ 141
x = —————
6
√ 141 , rounded to 4 decimal digits, is 11.8743
So now we are looking at:
x = ( 9 ± 11.874 ) / 6
Two real solutions:
x =(9+√141)/6=3/2+1/6√ 141 = 3.479
or:
x =(9-√141)/6=3/2-1/6√ 141 = -0.479
Two solutions were found :
x =(9-√141)/6=3/2-1/6√ 141 = -0.479
x =(9+√141)/6=3/2+1/6√ 141 = 3.479