The function f(x) is shown in this graph.
5
(0,2)
The function g(x) = -3x - 6. Compare the slopes,
Help plz
Answers
Answer:
The slopes are equal
Step-by-step explanation:
Calculate the slope m of f(x) using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = - 3x - 6 ← is in slope- intercept form
with slope m = - 3
Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel
Related Questions
PLZ HELP! Also, give an explanation. :)
Answers
Answer: First option (your selected answer)
Step-by-step explanation:
(rotating an object 360° will bring it to its original position)
(rotating an object 180° will turn it upside-down)
(rotating an object 90° will make it sideways)
(to calculate the scale factor, pick a point on both triangles that are of the same corner)
ex: A: (-12,12) and A': (4,-4)
(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')
[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]
(you multiply -1/3 to get the x and y value of the second triangle)
(though the provided options do not display the negative scale factor, the scale factor should be negative)
ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°
Choose the inequality that represents the following graph.
Answers
Answer:
D) x ≥ -2
Step-by-step explanation:
Evaluate the powers of 3 to find each value.?
Answers
Answer:
The value of 3^-2 is 1/9
Step-by-step explanation:
This is because negative exponent such as [tex]2^{-1}[/tex] transfer to 1/2. Therefore, you might notice a pattern of negative exponent -> fraction. 3^-2 -> 1/(3^2)-> 1/9
PLEASE MARK BRAINIEST IF THIS HELPED!!!
Answer:
1 /91327Step-by-step explanation:
Concept:
Here, we need to know the idea of exponents.
The exponent of a number says how many times to use the number in a multiplication.
When the exponent is positive, just multiply the base number by the number of times the exponent states.For example: 5² = 5 × 5 = 25When the exponent is negative, turn to the reciprocal of the base number, then multiply the base number by the number of times the exponent states as the denominator.For example: 6⁻² = 1 / 6² = 1 / (6 × 6) = 1/36Any number to the 0th power, it is equal to 1.
Solve:
Question 1. What is the value of 3⁻²?
The exponent ⁻² on 3² is negative3⁻² = 1 / 3² = 1 / (3 × 3) = 1/9Question 2. What is the value of 3⁰?
The exponent of 3⁰ is 03⁰ = 1Question 3. What is the value of 3¹?
The exponent of 3¹ is positive3¹ = 3Question 4. What is the value of 3³?
The exponent of 3³ is positive3³ = 3 × 3 × 3 = 27Hope this helps!! :)
Please let me know if you have any questions
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answers
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answers
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x 3)2 4?left 3, up 4right 3, down 4left 3, down 4right 3, up 4
Answers
Answer:
Right 3, Down 4
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (x + 3)^2 - 4[/tex]
Required
The transformation from f(x) to g(x)
When a function is translated up by h units, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
So, we have:
[tex]f'(x) = (x + h)^2[/tex]
By comparison, h = 3. So:
[tex]f'(x) = (x + 3)^2[/tex]
When a function is translated down by h units, the rule is:
[tex](x,y) \to (x,y - h)[/tex]
So, we have:
[tex]g(x) = f'(x) -h[/tex]
By comparison, h = 4. So:
[tex]g(x) = (x + 3)^2 - 4[/tex]
Hence, the transformation is: 3 units right and 4 units down
1. When decimal currency came to Australia in 1966 (that's exactly
50 years ago!), there were 6 coins -- 1 cent, 2 cent, 5 cent,
10 cent, 20 cent and 50 cent coins. What is the SMALLEST
number of these coins you would need to make 89 cents?
Answers
Doing this, we get that the smallest number of coins is: 6
89 cents:
89 is more than 50 cents, but less than 50*2 = 100, so 1 50 cent coin is needed, which leaves 89 - 50 = 39 cents remaining.39 is more than 20 cents, but less than 20*2 = 40, so 1 20 cent coin is needed, which leaves 39 - 20 = 19 cents remaining.19 is more than 10 cents, but less than 10*2 = 20, so 1 10 cent coin is needed, which leaves 19 - 10 = 9 cents remaining.9 is more than 5 cents, but less than 5*2 = 10, so 1 5 cent coin is needed, which leaves 9 - 5 = 4 cents remaining.The remaining 4 cents are achieved with 2 2 cent coins.Thus, the smallest amount of coins needed is 1 + 1 + 1 + 1 + 2 = 6.
A similar question can be found at https://brainly.com/question/21776594
please HELP ME!!! (16 POINTS) due today :)))
Answers
Answer:
Step-by-step explanation:
I'm not sure what the question is asking, but if you mean the angles in the blue lines
First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10
Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60
Third one, the given angle is 75 so 90-75=15.
The answers would be 10, 60, and 15.
4. 170*
5. 330*
6. 285*
Step-by-step explanation:
4. Explanation: 90* is added by the other angle in the right + 80* for the same angle
90* + 80* = 170*
————————————————————
5. Explanation: we are trying to find out the total among every angle measure except for 30.
Total angle measure = 360*
360 - 30 = 330*
—————————————————————
6. Explanation: 360 - 75 = 285*
if sinA=4/5 and cosB=12/13 find the value of:
Sin2A
Answers
Answer:
24/25
I hope this will help you.
I need help to find the missing side of this right triangle
Answers
Answer:
[tex]\sqrt{136}[/tex]
Step-by-step explanation:
Formula for Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]
Plug in:
[tex]6^{2}+10^2=x^2[/tex]
Solve:
36 + 100 = [tex]x^{2}[/tex]
136 = [tex]x^{2}[/tex]
[tex]\sqrt{136}[/tex] = x
The answer is [tex]\sqrt{136}[/tex].
Hope this helped.
A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?
Answers
Answer:
The area of tarpaulin is 1315.63 ft^2.
Step-by-step explanation:
height, h = 20 feet
circumference, C = 102 feet
Let the radius is r.
Circumference, C = 2 x 3.14 x r = 102
r = 16.24 feet
Let the slant height is L.
[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]
The curved surface area is
S = 3.14 x r x L
S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2
Answer:
400pi square feet
Step-by-step explanation:
Find the radius
Find the slant height
Put it in the formula for a cone but take the circumference part out
Divide your answer by pi
The question asks for the closest answer
400pi square feet is the closest option to 418.17pi square feet.
Find the area of the following triangle. Round your answer to the nearest tenth.
Answers
Answer:
45.0
Step-by-step explanation:
you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0
= 1/2(9)(5)sin(107 °)
= 21.5
Area for right-angled triangle use : A=1/2bh
The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood
Answers
Answer:
The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]
please help me with this also if your good at geometry please dm me I need serious help!!
Answers
Answer:
0.92
Step-by-step explanation:
cosine = adjacent/ hypotenuse
cosine of t = 12/ 13
cos t= 0.92308
The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.
Answers
Answer:
A statistical method to identify cost behavior.
Step-by-step explanation:
Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
Find the length of the segment indicated. Round to the nearest tenth
Answers
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?
Answers
Answer:
8 inches
Step-by-step explanation:
A rhombus is a four sides quadrilateral with the four sides equal in length
A rhombus has 4 equal sides and the diagonal bisect at right angles
Adjacent sides = 9/2 = 4.5
we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54
Cos 54 = adjacent / hypotenuse
0.58778 = 4.5 / hypotenuse
hypotenuse = 4.5 / 0.58778
=7.6559
= 8 inches
Given the following coordinates complete the reflection transformation.
Answers
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (2, 0 ) → A' (2, 0 )
B (4, 1 ) → B' (4, - 1 )
C (6, - 4 ) → C' (6, 4 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (2, 0 ) → A'' (- 2, 0 )
B' (4, - 1 ) → B'' (- 4, - 1 )
C' (6, 4 ) → C'' (- 6, 4 )
Which descriptions can describe more than one triangle? Select two options.
• side lengths of 6 ft, 8ft, and 10 ft
• angle measurements of 350, 350, and 110°
• angle measurements of 30°, 40°, and 50°
• angle measurements of 40°, 60°, and 80°
• side lengths of 4 cm, 6 cm, and 9 cm
Answers
Answer:
angle measurements of 35, 35, and 110°
angle measurements of 40°, 60°, and 80°
Have a nice day! :)
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answers
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).
Answers
y = -2x-3
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope , then a line perpendicular to this has slope . That means the slope of our perpendicular line is
The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.
To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.
First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:
8x - 2y = 4
-2y = -8x + 4
Divide both sides by -2:
y = 4x - 2
The slope of the given line is 4.
The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.
Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Substituting the values, we have:
y - 3 = (-1/4)(x - 4)
Expanding and simplifying, we get:
y - 3 = (-1/4)x + 1
Adding 3 to both sides, we have:
y = (-1/4)x + 4
To learn more about equation click on,
https://brainly.com/question/20712656
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Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due
Answers
Answer: it wll be thursday at 7:30PM
A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answers
Answer: [tex]4004.76\ ft[/tex]
Step-by-step explanation:
Given
inclination is [tex]\theta=75^{\circ}[/tex]
Mountain is [tex]h=3900\ ft[/tex] high
Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain
From the figure, length of the shortest path is [tex]l[/tex]
It is given by using Pythagoras theorem
[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT
Answers
Answer:
No
Step-by-step explanation:
The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.
The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.
Hope this helps :)
what is the volume of the cylinder
Answers
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
Rita offers to pay for 8 of her friends to play laser tag, but 3
of them don't want to play.
If laser tag costs $5 per person, how much will Rita spend on her friends?
Choose the correct expression and solution to this problem,
Answers
Last Option
Rita will spend $25
5(8-3)
Answered by Gauthmath must click thanks and mark brainliest
Answer: The correct answer is D.
Step-by-step explanation:
Since 3 of Rita's 8 friends don't want to play laser tag, Rita only has to pay for 5 of her friends to go.
So, the expression would be:
5 (8 - 3)
= 5 (5)
= $25
Hope this helps! :)
solve
(a) 32x + 1 = 92x - 1
Answers
Answer:
30 is your answer
Step-by-step explanation:
32x + 1 = 92x - 1
+1+1=92x-32x
2=60x
x=60÷2
x=30
Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost
Answers
Answer:
3/2(x+y)
Step-by-step explanation:
The cost of 2 DVD is x+y
Divide by 2 to get the cost of one DVD
(x+y) /2
Multiply by 3 to get the cost of 3
3/2(x+y)
Answer:
= 3(x + y)/2
Step-by-step explanation:
Cost of two DVD's is shown as :-
= x + y
If we divide by 2 we'll get the cost of each DVD
= (x + y)/2
Then, multiplying by 3 gives us the total amount.
= 3(x + y)/2
Given a line segment that contains the points A,B, & C in order,if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.
Answers
Answer:
15
Step-by-step explanation:
AB+BC=AC
2X+3+(4X-11)
6X-8=28
6x= 36
x=6
then ab= 2(6)+3
=15
bc= 4(6)-11
=13
ac=ab+bc
=15+13
=28
Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture
Answers
Answer:
mocha madness = 30 pounds
Step-by-step explanation:
Let
x = Mocha Madness
y = Sumatra Sweetness
two equations can be derived from the question
x + y = 40 equation 1
12x + 20y = 14 x 40 equation 2
Multiply equation 1 by 12
12x + 12y = 480 eqn 3
subtract eqn 2 from 3
8y = 80
y = 10
substitute for y in equation 1
x + 10 = 40
x = 40 - 10
x = 30
8y = 180
y = 10 pounds
x = 30 pounds
