Answer:
m = -1/3
b = 0
y = -1/3x
Step-by-step explanation:
The y-intercept is 0, so b is just 0. The slope of the line is 1/3 but it is decreasing not increasing, so it is negative. Then using the slope formula:
y = mx + b
y = -1/3x
Slope:-
m=2+2/-3-3=4/-6=-2/3Equation in point slope form
y+2=-2/3(x-3)3y+6=-2x+63y=-2xy=-2/3xb=0
Round your answers to the nearest cent.
f(0) =
meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(10)
, meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(67.5)
meaning the cost of buying
gallons of paint would be
This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the
function is
=
This interpretation
=
This interpretation
The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
How to interpret the function values?The equation of the function is given as:
f(x) = 9√x
When x = 0, 10 and 67.5, we have:
f(0) = 9√0 = 0
f(10) = 9√10 = 28.5
f(67.5) = 9√67.5 = 73.9
Hence, the interpretations of the function values are:
The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
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combien font 3579+826
PLEASE HELP ME WITH THIS QUESTION!!!
9x²+3x-1=0
D=b²-4ac
= 3²-4×9×-1
=9+36
=45
x1= (-b+VD)/2a
= (-3+V45)/2×9
= (-3+3V5)/18
=(-1+V5)/6
x2=(-b-VD)/2a
=(-3-3V5)/18
=(-1-V5)/6
Write the following fraction as a decimal number. 4/3/100 4.003 4.03 4.33 4.34
Answer:
133.3 <-- goes on forever
I think the rest are in decimal form.
The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth?
The approximate value of log b to the nearest hundredth is 1.23
Laws of logarithmGiven the following logarithmic expressions
loog(5)b and log(9)48
Determine the value of log(9) 48
log(9)48 = 1.762
Equate log(5) b to 1.762 to log(5)b to determine the value of b
log(5)b = 1.762
b = 5^1.762
b = 17.044
log b = log 17.044 = 1.232
Hence the approximate value of log b to the nearest hundredth is 1.23
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Answer:
B = 1.232
Step-by-step explanation:
Just did it
HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
What are the values of the function when x=-2 and when x=4
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
what is the measure of angle 7 ?
Answer:
97°
Step-by-step explanation:
Please see attached
Type the missing number in this sequence:
6, 8, 11, 15, 20,____,33
Answer: 26
Step-by-step explanation: the pattern is +2, +3, +4, +5. +6, +7
6+2 = 8
8+3 = 11
11+4 = 15
15+5 = 20
20+6 = 26
26+7 = 33
Answer:
26
Step-by-step explanation:
In this, the addition of numbers is starting from 2 and continue. Such as 6+2=8,then 8+3=11. Similarly the addition of numbers is continuing
A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?
Answer:
8 cm
Step-by-step explanation:
To find the length of the rectangle's base, form 2 equations using the given information.
Perimeter of rectangle= 2(height +base)
Let the lengths of the height and base of the rectangle be h and b cm respectively.
Perimeter= 80
2(h +b)= 80
h +b= 80 ÷2
h +b= 40 -----(1)
h= 4b -----(2)
Let's solve by substitution!
Substitute (2) into (1):
4b +b= 40
5b= 40
b= 40 ÷5
b= 8
Thus, the length of its base is 8 cm.
Find the measure of the indicated angle to the nearest degree.
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )
A rectangular prism with a length of 4 meters, width of 0.5 meters, and height of 4 meters. 2 triangular prisms are cut out of the cube. The triangular prisms have triangular sides with a base of 2 meters and height of 1 meters. The prism has a height of 0.5 meters.
Using the dimensions in the diagram, calculate how much cement is needed to build the monument.
4 m3
7 m3
8 m3
16 m3
i need the answer as fast as possible like i need it today and if right many marked branliest
Answer:
7 m3
Step-by-step explanation:
Correct
The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.
What is the volume?The volume of the rectangular prism is calculated as,
V = LWH
V = 4 m x 0.5 m x 4 m
V = 8 m³
The volume of the triangular prism is calculated as,
V = (BHL) / 2
V = (2 m x 1 m x 0.5 m) / 2
V = 0.5 m³
Since there are two triangular prisms, the total volume of both triangular prisms is:
⇒ 2 x 0.5 m³
= 1 m³
The total amount of cement is calculated as,
⇒ (Volume of rectangular prism - Total volume of both triangular prisms)
⇒ (8m³ - 1m³)
⇒ 7 m³
Thus, the correct option is B.
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give answer in simplest form with working out pls
Answer:
5 x 5+3/5= 25+3/5=28/5÷8/3
28/5 x8/3= 224/15 =14.93
A quantity y varies inversely with the square of x. if y=8 when x=3, find y when x is 4.
I think 7/2 im not definate
Which number sentence is represented by this model?
Answer:
Correct answer is B. -3 • 5 = - 15
Helpppppppppp meeeeeee pleaseeeeeeeee
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.
Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students also contributed?
E. $6.50
F. $6
G. $7
H. $8
Answer:
8$
Step-by-step explanation:
4 students contribute 12$ Each.
So, total amount becomes 12 x 4 = 48$
If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$
I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?
g(x)
f(x)
They are the same.
Answer:
they are exacly the same
Step-by-step explanation:
What is the average speed of a turtle that moved 50 inches in 5 minutes? (speed = distance ÷ time)
A.
55 inches per minute
B.
10 inches per minute
C.
0.1 inches per minute
D.
250 inches per minute
Answer: It would be B 10 inches per minute
Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50
I need help on this please
Answer:
Volume of a cone = (1/3) πr³
r = radius = d/2 = 2/2 = 1 ft
Volume = (1/3) * π * 1³
volume = 1.04 cubic ft
Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.
Jackie randomly picks some clothes.
What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?
Answer:
2/9
Step-by-step explanation:
i just took a test with this exact question, and the answer was 2/9
youre welcome future learners ;)
Write down the coordinates of point A.
( ……… , ………)
b) The line L is shown on the grid. Find the equation of line L in the form of y = mx + c.
..............................
The coordinates of point A is: (-2, 5)
The equation of line L, in slope-intercept form, is: y = 1/2x + 2
What is the Equation of a Line?In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:
b is the y-intercept, which is where the line cuts the y-axism is the slope = change in y / change in x.The coordinates of point A is: (-2, 5)
Slope (m) of line L = 2/4 = 1/2.
y-intercept (b) = 2
The equation of line L will be:
y = 1/2x + 2.
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A second boat passes by your port, at a distance of 1,500 feet from shore. 10 seconds later, the boat is 2,000 feet away from you. how fast was the boat going?
A student made an 84% on
their Unit 1 Math Test.
What fraction is equivalent to
the score the student made on
the test?
Answer:
84/100
Step-by-step explanation:
We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.
Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft
Answer:
about 98 dollars to cover the whole room in carpet
Step-by-step explanation:
The Carpet costs $8.30 per square foot, so 812 ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅
what is an event in which the outcome does impact the probability of the next event?
Answer:
Dependent Event
Step-by-step explanation:
Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
What is the surface area of the rectangular prism below?
Answer:
the answer is A. 612
Step-by-step explanation:
SA=2(wl+hl+hw)
parenthesis() mean multiply
x means multiply
SA= 2 x width x length + height x length + height x width
Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer: C
Step-by-step explanation:
The graph is shifted 4 units left as seen with (x+4) so x = -4.
The graph is reflected over the x axis as seen with -a
The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]
Answer:
D
Step-by-step explanation:
Changes observed :
Coefficient of x² becomes 1/3 of original, this means it is vertically compressedAlso, the coefficient has become negative, meaning it is flipped over the x-axisx² is now (x + 4)², this means it has shifted 4 units to the left.The correct option is D.
6a-2y>4
Solve inequality for y