Answer:
The corresponding point is (3,-8)
Step-by-step explanation:
we know that
When you add a constant value (k), to the argument of a function, the graph is shifted k units to the left.
so
In this problem
The rule of the transformation is equal to
f(x) ------> f(x+2)
(x,y) ------> (x-2,y)
(5,-8) -----> (5-2,-8)
(5,-8) -----> (3,-8)
A rectangle has a perimeter of 24 inches. If the width is 5 more than twice the length,
what are the dimensions of the rectangle?
Answer:
Step-by-step explanation:width is 11 length is 13
Find the zeros of the function.
f(x) = 9x^2 + 6x - 8
Answer:
[tex]\large\boxed{-\dfrac{4}{3}\ and\ \dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]f(x)=9x^2+6x-8\\\\\text{The zeros:}\\\\9x^2+6x-8=0\\\\9x^2+12x-6x-8=0\\\\3x(3x+4)-2(3x+4)=0\\\\(3x+4)(3x-2)=0\iff3x+4=0\ \vee\ 3x-2=0\\\\3x+4=0\qquad\text{subtract 4 from both sides}\\3x=-4\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{4}{3}}\\\\3x-2=0\qquad\text{add 2 to both sides}\\3x=2\qquad\text{divide both sides by 3}\\\boxed{x=\dfrac{2}{3}}[/tex]
Solve for q; 6n-5q/11t = c
Answer:
[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]
What is the length of each leg of the triangle?
Answer:
the answer you selected is correct
Step-by-step explanation:
this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two
Factor the following expression.
27y3 – 343
a. (3y + 7)(9y2 + 2ly + 49)
b. (3y – 7)(9y2 + 2ly + 49)
c. (3y – 7)(932 – 217 + 49)
D. (3y + 7)(92 – 2ly + 49)
Answer:
b
Step-by-step explanation:
use formula of a^3-b^3
Answer:
D
Step-by-step explanation:
(3y - 7) (9y^2 + 21y + 49)
let me know if it's right
#platolivesmatter
Help me please!!
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?
{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}
Answer:
{(1, 6.7) , (2, 6.4) , (3, 6.1)}
Step-by-step explanation:
A watering can dispenses water at the rate of 0.3 gallon per minute.
The original volume of water in the can was 7 gallons.
If you plot a graph of volume of water in the can (gallons) against time (minutes),
The set of points on the graph will be:
After 1 minute: (1, 7 - 0.3) = (1, 6,7)
After 2 minutes: (2, 7 - 0.6) = (2, 6.4)
After 3 minutes: (3, 7 - 0.9) = (3, 6.1)
i.e the set {(1, 6.7) , (2, 6.4) , (3, 6.1)}
If you wanted to make the graph of y = 7x- 14 steeper, as well as shift the y
intercept of this line up, which equation could you use?
A. y= 5x - 18
B. y = 9x - 10
C. y= 5x – 10
D. y= 9x - 18
Answer:
Option B: y = 9x - 10.
Step-by-step explanation:
General equation of a straight line in the 2-D plane is given by:
y = mx + c; where m is the slope and c is the y-intercept.
The given equation of the line is y = 7x - 14; where m=7 and c=-14.
To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.
To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!
What is The value of -8/15 · 20/64
Answer:
[tex] - \frac{8}{15} \times \frac{20}{64} = - \frac{8}{15} \times \frac{5}{16} = - \frac{1}{6} [/tex]
Please Answer!!! how do the graphs of (x) = x^2 and g (x)= 3/4 x^2? relate?
a. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 3/4
b. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
c. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 4/3
d. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 4/3
Answer:
The correct option is B.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=\frac{3}{4}x^2[/tex]
It can be written as
[tex]g(x)=\frac{3}{4}f(x)[/tex] .... (1)
The vertical stretch and compression is defined as
[tex]g(x)=kf(x)[/tex] .... (2)
If k>1, then it represents vertical stretch by factor a.
If 0<k<1, then it represents vertical compression by factor a.
From (1) and (2), we get
[tex]k=\frac{3}{4}[/tex]
Since k<1, therefore he graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4.
Hence the correct option is B.
What types of parts are necessary for a complex number?
Answer:
A complex number is of type
a+bi
where a is the real parts and b is the imaginary part.
Step-by-step explanation:
A complex number is of type
a+bi
where a is the real parts and b is the imaginary part.
i is called imaginary number because no real number satisfies this equation
An example of complex number can be: 7+8i or 23+9i etc
30% of what equals 60
Answer:
30% of 200 equals 60.
Step-by-step explanation:
There is a formula we use to this specific type of problem. It's called the rule of 3.
30% - 60
100% - x
(60 * 100) / 30 =
6000 / 30 =
200
Step-by-step proof:
To prove our answer, what me must do is use another formula:
(200 * 30) / 100 = 60
6000 / 100 = 60
60 = 60
↑ Both numbers are equal (equation is true), therefore, our solution is correct.
Hope it helped,
BiologiaMagister
In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle? (h + x)2 + (k + y)2 = r2 (x – h)2 + (y – k)2 = r2 (k + x)2 + (h + y)2 = r2 (x – k)2 + (y – h)2 = r2
Answer:
(x – h)2 + (y – k)2 = r2
Step-by-step explanation:
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle the equation of the new circle
(x – h)2 + (y – k)2 = r2
Based on Pythagorean theorem, and the location of the center of the
circle, (h, k), the equation of the circle is represented by the option;
(x - h)² + (y - k)² = r²How can the equation of the circle be found?
The general form of the equation of the circle is (x - h)² + (y - k)² = r²
Where;
(h, k) = The center of the circle
r = The radius of the circle
A description of the equation of the circle is as follows;
With regard to a location on the edge (circumference), of the circle, (x, y),
where, the center of the circle is (h, k), by Pythagorean the sum of the
square of the length of the horizontal side, (x - h), and the square of the
vertical side (y - k), of the right triangle formed gives the square of the
radius of the circle.
Therefore, the equation of the new circle can be represented by the equation;
(x - h)² + (y - k)² = r²The above equation is the general form of the equation of a circle.
Learn more about the equation of a circle here:
https://brainly.com/question/20863621
What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, -3)?
Answer:
Step-by-step explanation:
There is no given equation, so it is impossible to figure this out. I apologize.
Answer: I was told the third option
Step-by-step explanation:
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference.
Final answer:
Lorne subtracted the polynomial 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7 by changing the signs of the second polynomial and combining like terms, resulting in the difference − 9x³ + 5x² + 6x − 10.
Explanation:
To find the difference between two polynomials, we subtract the corresponding terms of the second polynomial from the corresponding terms of the first. In the given problem, Lorne subtracted 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7. To do this, we change the signs of the polynomial being subtracted and then combine like terms.
First, we write the problem with the second polynomial's signs changed: − 3x³ + 5x² + 4x − 7 - (6x³ − 2x + 3).
Next, we distribute the negative sign: − 3x³ + 5x² + 4x − 7 - 6x³ + 2x - 3.
Finally, we combine like terms: (− 3x³ − 6x³) + (5x²) + (4x + 2x) + (− 7 − 3).
The resulting difference is − 9x³ + 5x² + 6x − 10.
Question 10
Jur's car can travel 340 miles on 12 gallons. Jack's car can travel 390 miles on
16 gallons. Which person has the best mileage (miles per gallon) and what is
their mileage?
Answer:
Jur's car
Step-by-step explanation:
Jur's car's mileage= 340/12=28.3333333333
Jack's car's mileage=390/16=24.375
brainliest if you are satisfied plz
Answer:
Jur 28 1/3 miles per gallon
Step-by-step explanation:
To find the miles per gallon, take the miles driven and divide by the gallons used.
Jur: 340/12 =28.333333 miles per gallon
Jack : 390/16 = 24.375 miles per gallon
Jur has better gas mileage because his number is higher
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car
after x years, which function represents the car's value?
f(x) = 20,000(0.85)*
f(x) = 20,000(0.15)*
f(x) = 20,000(1.15)
f(x) = 20,000(1.85)
Answer:
f(x) = 20,000(0.85)*
Step-by-step explanation:
Answer: [tex]f(x)=20,000(0.85)^x[/tex]
Step-by-step explanation:
We know that the exponential decay (depreciation) equation with rate of decay r in time period x is given by :-
[tex]f(x)=A(1-r)^x[/tex], A is the initial value .
Given: The initial value of truck = $20,000
Rate of depreciation= 15% = 0.15
Now, the function represents the car's value after x years is given by ;-
[tex]f(x)=20,000(1-0.15)^x\\\\\Rightarrow\ f(x)=20,000(0.85)^x[/tex]
What are possible outcome of a spin of the spinner
Answer:
Step-by-step explanation:
it would depend on how many numbers are on the spinner like if their is 6 numbers on the spinner and if your trying to get a 4 then it would be 1/6.
Hope my answer has helped you!
The slope of the line below is 4. Which of the following is the point-slope form
of the line?
(-3,-4)
A. y+ 4 = 4(x+3)
B. Y-4 =-4(x-3)
C. y-4= 4(x-3)
D. Y+4 = -4(X+3)
Answer:
A: y+4=4(x+3)
Step-by-step explanation:
Point-Slope Formula:
y-y1=m(x-x1)
Substitute:
y-(-4)=4(x-(-3))
-(-)=+
P: y+4=4(x+3)
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
whats a value?
Answer: [tex]a=2[/tex]
Step-by-step explanation:
We need to analize the information provided:
We know that this line passes through the point [tex](a,1)[/tex] where "a" is the unknown x-coordinate of that point and 1 is the y-coordinate.
We know that the line also passes through the point (-1, -5) and the point (4, 5).
Then, in order to find the value of "a", we can plot the known points and draw the line (Observe the image attached).
You can observe in the image attached that the point whose y-coordinate is 1 is the point (2,1). Therefore, the value of "a" is:
[tex]a=2[/tex]
Answer:
D: 2
Step-by-step explanation:
5,5,5,7,7 mean median mode range
[tex]\text{Hey there!}[/tex]
[tex]\text{The mean is when you add up ALL your numbers then divide by the number}[/tex] [tex]\text{of numbers in the equation}[/tex]
[tex]\text{5+5+5+7+7=15+14=29}[/tex]
[tex]\text{We have 5 terms in this equation so divided 29 from 5}[/tex]
[tex]\bf{29\div5=5.8}[/tex]
[tex]\boxed{\text{Mean: 5.8}}\checkmark[/tex]
[tex]\text{Median is the middle number of the set of numbers}[/tex]
[tex]\boxed{\text{Median: 5}}\checkmark[/tex]
[tex]\text{Mode is when you see a number MORE THAN ONCE}[/tex]
[tex]\text{You see 5 three times but the 7 twice, so this will make it tricky to answer}[/tex]
[tex]\text{Since, you see 5 three times.. it could be your mode}[/tex]
[tex]\boxed{\text{Mode: 5}}\checkmark[/tex]
[tex]\text{Range is when subtract the HIGHEST NUMBER from the LOWEST NUMBER}[/tex]
[tex]\text{7-5=2}[/tex]
[tex]\boxed{\text{Range: 2}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Suppose a point at (2, 3) is translated to 7, -1). Which rule describes this translation?
O translate right 5, down 4
O translate left 5, up 4
O translate right 9, down 2
translate left 9, up 2
Answer:
translate right 5, down 4translate right 5, down 4
Step-by-step explanation:
translate right 5, down 4: Note that the x-coordinate 2 becomes 7, and that the y-coordinate 3 becomes -1.
Answer:
From (2,3) translate 5 to the right and 4 down to get (7,-1).
Step-by-step explanation:
(x,y)→(x+5,y−4)
(2,3)→(2+5,3−4)
(2,3)→(7,-1)
Hope this helps :)
*Pls mark my answer Brainliest*
A hiking trail is 6 miles long. It has 4
exercise stations, spaced evenly along the
trail. What is the distance between each
exercise station?
Answer:
8800 ft apart
Step-by-step explanation:
1). Convert miles to feet. 6 2/3 x 5280 = 35200
2). Divide by 4. 35200/4 = 8800
2.314 (14 repeating) as a fraction
Answer:
Therefore, x = [tex]\frac{2291}{990}[/tex].
Step-by-step explanation:
Given : 2.314 (14 repeating) .
To find : Express as a fraction .
Solution : We have given 2.314 (14 repeating) .
Let x = 2.31414141.......
On multiplying both sides by 100
100x = 100 * 2.31414141....
100x = 231.414141......
We can express 231.414141...... in term of x .
100x = 229 .1 + 2.31414141.......
100x = 229.1 +x
On subtracting both sides by x .
100 x -x = 229 .1
99x = 229.1
On dividing both sides by 99
x= [tex]\frac{229.1}{99}[/tex].
x = [tex]\frac{2291}{990}[/tex].
Therefore, x = [tex]\frac{2291}{990}[/tex].
The repeating decimal 2.3141414... expressed as a fraction is [tex] \frac{2291}{990} [/tex]
The decimal given : 2.3141414
Let :
x = 2.31414 - - - (1)Since only the 14 keeps repeating :
Multiply (1) by 10 in other to keep the repeating digits only to the right of the decimal Point.10x = 23.1414 - - - - (2)Multiply (2) by 100
1000x - 2314.1414 - - - - (3)Subtract (2) from (3)1000x - 10x = 2314.1414 - 23.1414
990x = 2291
Divide both sides by 990x = 2291 / 990Hence, 2.31414...expressed as a decimal is [tex] \frac{2291}{990} [/tex]
Learn more : https://brainly.com/question/15406832?referrer=searchResults
Please help !!! Urgent !!!What is the value of x???
Answer:
40
Step-by-step explanation:
x + (4x-20) = 180
5x - 20 = 180
5x = 200
x = 40
Answer:
the answer is 40
Step-by-step explanation:
the value of x and 4x -20 will be 180 degrees because it is a line and so you set the sum of those to 180 and solve for x
Find p(2)
Find p(2 or fewer)
Answer:
P(2)=0.021942 approximately
P(2 or fewer)=0.02711 approximately
Step-by-step explanation:
[tex] P(x)=(n choose x) *p^x * q^{n-x} [/tex]
x is the number of successes desired
p is probability of getting a success per trial
n is the number of trials
q is 1-p
So n=15 and p=.4 here
And you want to know P(2) which means x is 2
Plug in this information
[tex] P(2)=(15 \text{ choose } 2) *.4^2 * .6^{15-2} [/tex]
Just plug into calculator... P(2)=0.021942 approximately
For p(2 or fewer) you just do P(0)+P(1)+P(2)
I already found P(2)
You need to find P(1)
Once you get P(1), add that result to 0.021942.
Try to do part b and I will tell you if you got it right or not.
So P(2 or less) is P(0)+P(1)+P(2)
So to complete this we need to find P(1) and almost forgot P(0)...
We already have P(2).
P(0)=(15 choose 0) *.4^0*.6^(15-0)=0.00047
P(1)=(15 choose 1) *.4^1 *.6^(15-1)=.004702
Now P(2)=0.021942
--------------------------add these
0.027114 approximately
Please help I need it
Answer:
Yes. It's a right triangle.Step-by-step explanation:
If a ≤ b < c are the length of the sides of a right triangle, then
a² + b² = c².
We have:
a =30 ft, b = 40 ft and c = 50 ft.
Check the equality:
L = 30² + 40² = 900 + 1600 = 2500
R = 50² = 2500
L = R
I have this question in Geometry that I need help with, can you help me solve it?
Find the coordinates of the midpoint of a segment having the given endpoints.
Q(1, -3), R(11, 5)
Answer(6,1)
Step-by-step explanation:
you need to use the midpoint formula
(3+5^2)(5-4^2) how to simplify?
Answer:
-308
Step-by-step explanation:
[tex](3+5^2)(5-4^2)[/tex]
[tex]28(5-4^2)[/tex]
[tex]28(-11)\\[/tex]
[tex]-308[/tex]
Hope that helped!
Darwin bought 5 boxes of corned beef.a box contains one and a half dozen cans of corned beef.if he sold all the corned beef at 45.00 pesos each, how much did he earn....please answer with solution of AGONSA
The answer is:
Darwin earned 4050 pesos
Why?To solve the problem, first, we need to calculate the total quantity of corned beef, and then, calculate the total earning amount.
We have a box of corned beef one and half dozen cans, or 1.5 zones.
So, calculating we have:
[tex]TotalBeef=Dozen*1.5=12*1.5=18[/tex]
We have that there are 18 cans of corned beef per box, now, if he sold all the 5 boxes of corned in 45.00 pesos each, we have:
[tex]TotalEarning=Cans*45.00(pesos)=18*5*45.00pesos=4050(pesos)[/tex]
Hence, we have that Darwin earned 4050 pesos.
Have a nice day!
You are helping with some repairs at home. You drop a hammer and it hits the
floor at a speed of 8 feet per second. If the acceleration due to gravity (g) is
32 feet/second, how far above the ground (h) was the hammer when you
dropped it? Use the formula:
V = 2gh
Answer:
1 foot.
Step-by-step explanation
That is not the correct formula. Correct is V^2 = 2gh where h = the height
so the equation is:
8^2 = 2*32* h
h = 64/ 64 = 1 foot.
Answer:
[tex]h=\frac{1}{8} feet[/tex]
Step-by-step explanation:
In order to be able to solve this problem you just have to clear the formula for height:
V=2gh
[tex]\frac{V}{2g}=H[/tex]
[tex]\frac{8}{64}=H[/tex]
[tex]\frac{1}{8}=H[/tex]
So the height from which the hammer is dropped is 1/8 feet.