Answer:
Step-by-step explanation:
[tex]f(x) = \dfrac{2}{3}x-4\\[/tex]
When x = 0 ; f(x) = 0-4 = -4
When x = 3 ;
[tex]\sf f(3) =\dfrac{2}{3}*3-4\\\\ = 2-4\\\\ f(3) = -2[/tex]
When x = 6,
[tex]\sf f(6) = \dfrac{2}{3}*6-4\\\\ f(6) =2*2-4 = 4-4\\\\ f(6)= 0[/tex]
When x = -6;
[tex]\sf f(-6) =\dfrac{2}{3}*(-6)-4\\\\[/tex]
= 2*(-2)-4
= -4 - 4
f(-6) = -8
HELP ASAP PLEASE !!
What is sum n = 1 to 4 5 ^ n equal to?
Answer: 50
Step-by-step explanation: hello the answer is 50
NO LINKS!!!! Please help me with this graph. Part 7a
Answer:
[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (0, -7)
As the graph opens downward, take negative/fall coordinates.
Two points: (0, -7), (10, -10)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]
Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]
Answer:
[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
From inspection of the graph, the transformed function has been reflected in the x-axis.
[tex]\implies -f(x)=-|x|[/tex]
The vertex of the parent function is the origin (0, 0). The vertex of the transformed function is at (0, -7). Therefore, there has been a translation of 7 units down.
[tex]\implies -f(x)-7=-|x|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]
The line goes through point (10, -10)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies -a|10|-7=-10[/tex]
[tex]\implies -10a=-3[/tex]
[tex]\implies a=\dfrac{3}{10}[/tex]
Therefore,
[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]
Calculus, A) find the slope of the line
B) interpret the slope
Answer:
- [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Slope of the line indicate how fast ( or slow ) the line is going up or down
[I REALLY DON'T KNOW I NEED HELP PLEASE] Fill in the blank with the word dependent or independent. 1. The equation y = 6-x defines y as a function of x. The variable x is the variable, because you can choose any value for it. The variable, because it depends on variable y is called the x. Once you have chosen a value for x, the value of y is determined.
It is dependent. Without the function of the variable (X), we wouldn’t understand the value of Y.
What is the area of the triangle in the coordinate plane?
36 units²
38 units²
66 units²
72 units²
Answer:
36 units
Step-by-step explanation:
area of right angle triangle =1/2* b*h.
by counting the square,b=8 units and h=9 units
therefore,area 1/2* 8units * 9units
1/2*72units^2
36units^3
Help me with the 2 problems
9.
no
he has to put -484 to the left of the equal sign too
z + 484 -484 = 964 - 484
z = 480
10.
a.
310,000 + x = 465,000
x = 465,000 - 310,000
x = 155,000
b.
310,000x = 930,000
x = 930,000 ÷ 310,000
x = 3
A blight is spreading in a banana plantation. Currently, 458 banana plants are infected. If the
disease is spreading at a rate of 8% each year, how many plants will be infected in 8 years?
If necessary, round your answer to the nearest whole number,
banana plants
The number of infected banana plants with a rate of 8% will be in 8 years is 848.
What is exponential growth or decay function?Consider the function:
y = a(1 + r)ˣ
where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.
If the disease is spreading at a rate of 8% each year.
Then the number of the plants that will be infected in 8 years.
Then the exponential function is given as
y = 458(1.08)ˣ
At x = 8, then we have
y = 458(1.08)⁸
y = 458 x 1.851
y = 847.73
y ≅ 848
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In Calc, a mathematical equation is called a
A. Calculation
B. Symbol
C. Formula
D. Cell name
C. Formula
Explanation:
In Calc, a mathematical equation is called a Formula.
a) How many 2-digit numbers have the digit 7 exactly once?
Answer:
17, 27, 37, 47, 57, 67, 87, 97.
8
Step-by-step explanation:
all are 2 digit numbers with exactly one 7 in each.
Answer:
8
Step-by-step explanation:
the two digit numbers that has 7 exactly once are 17, 27, 37, 47, 57, 67, , 87, 97from above, there are 8 two digitsThe area of the rubber coating for a flat roof was 96 ft². The rectangular frame the carpenter built for the
flat roof has dimensions such that the length is 4 ft longer than the width. What are the dimensions?
Answer:
Length = 12 ft.
Width = 8 ft.
Step-by-step explanation:
Given :
Area = 96 ft²Length = Width + 4 ft.Let :
Length = (x + 4) ft.Width = x ft.Solving :
The formula for calculating area is : Area = Length x Width96 = (x + 4)(x)x² + 4x - 96 = 0x² + 12x - 8x - 96 = 0x(x + 12) - 8(x + 12) = 0(x - 8)(x + 12) = 0x - 8 = 0 ⇒ x = 8The dimensions are :
Length = 12 ft.
Width = 8 ft.
what is the slope-intercept equation of the line below?
Answer:
Step-by-step explanation:
(-1, 1) (1, -3)
(-3 - 1)/(1 + 1)= -4/2 = -2
y - 1 = -2(x + 1)
y - 1 = -2x - 2
y = -2x - 1
answer is A
Solve for the value of n.
(9n+2)
34°
Answer:
I think its 306n+68
john decides to buy a new laptop computer. it is on sale for 20% off and he has a coupon for 15% off the sale price. if sales tax is 6%, how much will john pay
The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is 0.72p.
What is the price John would pay?After the sales price and coupon is applied, the price of the laptop would reduce.
Price after the sales price = (1 - 0.2) x p = 0.8p
Price after the coupon = (1 - 0.15) x 0.8p
0.85 x 0.8p = 0.68p
A tax increases the price of the laptop.
Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p
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What is the mode of this data set?
{7, 10, 12, 9, 12, 4, 13, 14}
7
10
11
12
Answer:
12
Step-by-step explanation:
the mode is the number you see the most
Answer:
12
Step-by-step explanation:
Mode is the number that is most repeated it can be more than one number but in your question it's only 1 number that's 12 and it has been repeated 2 times as shown
The power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s). When s=25, P=1800. Work out the speed (to 1 DP) when the power is 2000 watts.
The speed when the power is 2000watts is 22.5m/s
Subject of formulaIf the power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s), this is expressed as:
P = k/s
When s=25, P=1800 then;
1800 = k/25
k = 25 * 1800
k = 4500
In order to calculate the speed when the power is 2000;
s = k/p
s= 4500/2000
s = 22.5m/s
Hence the speed when the power is 2000watts is 22.5 m/s
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what is four minus three
Answer:
1
Step-by-step explanation:
4-3 = 1
Answer:
1
Step-by-step explanation:
4-3=1
If you had 4 lollipops and you gave your friend 3 lollipops, how many would you have? 4-3=1 You could try it out at home.
7th Grade: Daily Tre Seventh Grade Wee.
Emma Collaborativ
A
Emmas portfolio G Create Your "My Wob Boom Cards
Interpret Charts to
Problems
10
Lois made a dish with 63 cups of pasta. One serving of the pasta is 0.3 cups. How many servings of pasta were in the dish Lois
made?
OA. 6
OB. 6
OC. 213
Answer:
It should be 210, but that option isn't on here
Step-by-step explanation:
63 cups / 0.3 cups per serving = 210 servings
Answer:
C. 213?
Step-by-step explanation:
Not sure as you might've just copied and pasted in correctly as I do see you copied the bit where it says "Emma portfolio" and both A and B are both 6, as the answer. But 63/0.3 would give you 210 servings. So I'm not sure where the 3 extra servings are coming from.
How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The transformation from f(x) to g(x) can be represented as:
x -> x -2
f(x) -> f(x) + 6
This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.
Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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Can someone pls help me ! 20 points
Yes,1/2 of an answer is zero answer.
If I have 679 points out of 901 what grade will I get?
Answer:
you'll get a 75%
Step-by-step explanation:
all you have to do is
divide 679/901
and you get 0.75%
The diagram shows the locations of Cody and Reese after running different directions from a tree. How far did Cody run?
Answer:
very very far indead he ran and ran without stopping
What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?
Answer:
86486400
Step-by-step explanation:
(Multiple choice question) As a town geta mater, the population of its high school decreases by 123. each year. The student body has 125 students now. In how many years will have about 75 students? Use the
equation 75 - 125/088)" to solve the problem Round to the nearest year
2 years
4 years
1 year
3 years
Answer:
4 years !
Step-by-step explanation:
Find the volume.
A rectangular prism with length 7 yards, width 6 yards, and height 3 yards.
a.
126 cu. yd
b.
252 cu. yd
c.
147 cu. yd
d.
54 cu. yd
The volume of the rectangular prism with length 7 yards, width 6 yards, and height 3 yards is 126 cubic yards
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that rectangular prism with length 7 yards, width 6 yards, and height 3 yards.
We have to find the volume of the prism
Volume = length×width ×height
Plug in the values of length , width and height
Volume = 7×6×3
=126 cubic yards
Hence, the volume of the rectangular prism with length 7 yards, width 6 yards, and height 3 yards is 126 cubic yards
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Answer:
A. 126
Step-by-step explanation:
Correct on edge!
Yo fam for me
45 = 3(x + 1)
Answer:
x = 14
Step-by-step explanation:
Solving equation3(x + 1) = 45
3*x + 3*1 = 45 {Distributive property used: a*(b+c) =(a*b) +(a*c)}
3x + 3 = 45
Subtract 3 from both sides
3x = 45 - 3
3x = 42
Divide both sides by 3
x = 42/3
[tex]\sf \boxed{\bf x = 14}[/tex]
i need help with 8th grade math please hurry and correct answer please 40 points
Answer:
2664.3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 πr³
Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.
Answer:
v=59 m3 i think if it helps please mark brainliest
y= 3x-2 find y when x=-5
[tex]y = 3x-2\\\\~~~=3(-5) -2\\\\~~~= -15-2\\\\~~~= -17[/tex]
Answer:
y = -17
Step-by-step explanation:
Given values :
⇒ x = -5
Let's substitute in the expression to find y :
⇒ y = 3(-5) - 2
⇒ y = -15 - 2
⇒ y = -17
There are 250 tracksuits in a box. The sport sold 1/5 of the tracksuits on monday, 1/10 on tuesday, 2/5 on wednesday and the rest on thursday. how many tracksuits were sold on thursday?
Answer:
145
Step-by-step explanation:
you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .
Please solve with explanation (high points)
Answer:
8.1. h = 17.743514416718 m 8.2. Area of ABCD = 112.912444233369 cm²Step-by-step explanation:
Q8.
Let h be the height of the flagpole
x be the distance between point P and the flagpole.
8.1.
tan(53) = h/x
⇒ h = xtan(53) (1)
On the other hand ,
tan(28) = h/(x+20)
⇒ h = (x+20)tan(28) (2)
Let’s equate equation so (1) and (2) :
⇒ xtan(53) = (x+20)tan(28)
⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775
from (1) , we have :
h = xtan(53)
= 13.370697151775×tan(53)
= 17.743514416718
8.2.
Area ABCD = area ABD + area BCD
area ABD = (1/2) AB AD sin(BAD)
= (1÷2)×11×7×sin(110)
=36.178165900258
area BCD = (1/2) DB DC sin(BDC)
firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :
DB² = AB² + AD² - 2AB AD cos(110)
= 11^2+7^2-2×11×7×cos(110)
= 222.671102072153
Then
DB = √(222,671102072153)
= 14.92216814247
Going back ,
area BCD = (1/2) DB DC sin(BDC)
= (1÷2)× (14,92216814247)×16×sin(40)
=76.734278333111
Conclusion :
Area ABCD = area ABD + area BCD
= 36.178165900258+ 76.734278333111
= 112.912444233369
Help find the probability
Answer:
18. 0.25
19. 0.33
Step-by-step explanation:
Problem 18
Number of oranges = 2Number of fruits = 2 + 6 = 8P (orange) = 2/8 = 1/4P (orange) = 0.25Problem 19
Number of 1 or 6 faces = 2Total faces = 6P (1 or 6) = 2/6 = 1/3P (1 or 6) = 0.33 (2 DP)