Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.
[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]
[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]
[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]
[tex]f(k-1)=5k^2-6k-4[/tex]
Hope this helps.
頑張って!
f(k-1) = 5k² - 4k - 4
The given function is:
f(x) = 5x² + 4x - 5
To find f(k-1), substitute x = k-1 into f(x)
f(k-1) = 5(k-1)² + 4(k-1) - 5
f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5
f(k -1) = 5k² - 10k + 5 + 4k -9²
Collect like terms
f(k-1) = 5k² - 10k + 5k + 5 - 9
Simplify
f(k-1) = 5k² - 4k - 4
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three less than four times a number is the same as the number +12 what is the equation?
Answer:
I think it would be 4×n-3 = n+12
Answer:
3<4x=x+12
Step-by-step explanation:
Let the number be x
Let the number be x4×X=4x
Let the number be x4×X=4x3<4x=x+12
Determine whether the statement is true or false.
Answer:
False
Step-by-step explanation:
1/3^4=3^4
0.012346≠81
False
Answer:
True
Step-by-step explanation:
The negative power property of exponents says that:
[tex]x^{-n}=\frac{1}{x^n}[/tex]
And vice versa:
[tex]\frac{1}{x^{-n}}=x^n[/tex]
Therefore, since our exponent is negative, we can change it to positive if we put it in the numerator. In other words:
[tex]\frac{1}{3^{-4}}=3^4[/tex]
The statement is true.
Find the slope of the line on the graph
Answer:
m = 1/2
Step-by-step explanation:
Use two points on the line given.
(0 , 2) & (-4 , 0)
You are solving for the slope. The slope formula:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (0 , 2)
Plug in the corresponding numbers to the corresponding variables:
m = (2 - 0)/(0 - (-4))
Simplify:
m = (2)/( 0 - (-4))
m = (2)/(0 + 4)
m = 2/4
Simplify the slope. Divide the common factor 2 from both the numerator and denominator:
m = (2/4)/(2/2) = 1/2
1/2 is your slope.
~
Answer:
0.5
Step-by-step explanation:
the rise is 4 and the run is 8 so it would be 4/8 or 1/2 which would equal 0.5
what is the product (3a2 b4) (- 8b3)
Answer:
-24 a^2 b^7
Step-by-step explanation:
Simplify the following:
-8×3 a^2 b^4 b^3
Hint: | Combine products of like terms.
3 a^2 b^4 (-8) b^3 = 3 a^2 b^(4 + 3) (-8):
-8×3 a^2 b^(4 + 3)
Hint: | Evaluate 4 + 3.
4 + 3 = 7:
-8×3 a^2 b^7
Hint: | Multiply 3 and -8 together.
3 (-8) = -24:
Answer: -24 a^2 b^7
Answer:
The correct answer is:
D) -24a³b^7
Step-by-step explanation:
I got it correct on EDGE 2020
PLEASE HELP integers and absolute value 8th grade 1.the opposite of -4 a.4 b.-4 c.-(-(-10)) d. -|10| 2.the opposite of -10 is ? a. -(-(-10)) b. -10 c.10 d.-|10| 3. which symbol is used to make -5? -8 a true statement a. > b. b. > c.=
Answer:
The distance of it.
Step-by-step explanation:
1. answer is A.4
2. answer is C.10
3. answer is A.>
Could anyone help me with this? Thanks in advance x
Answer:
find b: since the triangle is right angle triangle apply the Pythagorean theorem
c²+b²=d²
b²=d²-c²
b²=16²-12²
b²=256-144
b²=112
b=√112 = 4√7the sum of the angle of the triangle=180
( in top Δ abd ) sin Ф=opp/hyp
sinФ=b/d=4√7/16= √7/4 radian
convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees
which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)find a=?? apply law of cosine
a²= d^2 + c^2 − 2dc cosA
a²=16² + 12²-2(16)(12)cos38
a =√(16² + 12²-2(16)(12)cos38)
a=9.87 rounded to the nearest hundredth(i hope it is right )
how to graph the function f(x)=-2/3x+490
Solve the equation.
S + (-20) = -19
Answer:
S = 1
Step-by-step explanation:
If you add a positive 1 to -20, you would get -19
Answer:
S=1
Step-by-step explanation:
Add 20 to both sides:
S+(-20)=-19
+20 +20
S=1
Help me out please asymptotes
Answer:
d, b , a
Step-by-step explanation:
Diagram on left
As x → + ∞, y → + ∞, as x → - ∞ , y → - ∞ ( as explained in previous question ) d
Top diagram on right
As x → + ∞, y → 0 and x → - ∞ , y → 0
This means that as x increases to the right , y approaches the x- axis (y → 0)
and as x increases to the left, y approaches the x- axis (y → 0 ) b
Lower diagram on right
As x → + ∞, y → + ∞ and as x → - ∞, y approaches the x- axis (y → 0 ) a
HELP PLEASE which of the following expression represents the width of the door ?
A) (3x+6)-x-x
B)(h4x-1)-x-x
C)(3x+6)+(4x-1)+(4x-1)+x+
D)(4x-1)-(3x+6)
Answer:
A) (3x+6)-x-x
Step-by-step explanation:
Width of the door = (3x + 6) - x - x
3/7+-5/11+-5/14+3/11
Answer:
Hey!
Your answer is [tex]1\frac{5}{8}[/tex]!
Step-by-step explanation:
Also can be written as 41/8!
HOPE THIS HELPED!
Which equation would give the graph below? (photo)
Answer:
C
Step-by-step explanation:
Y= 4^2 - 5 x 4 + 4 = 0
high order thinking write missing nunber
6+ =14-5
second grade homework
Answer:
3
Step-by-step explanation:
14-5 = 9
6+3 = 9
Hope this helps!
Can you help me please!
Answer:
see the picture attached
How does the parametric form help solve qx + rx = s for x ?
Answer:
[tex]x=\frac{s}{q+r}[/tex]
Step-by-step explanation:
1 Factor out the common term x
[tex]x(q+r)=s[/tex]
2 Divide both sides by q+r
[tex]x=\frac{s}{q+r}[/tex]
If one set of ping pong balls coast 8$ how much does 320 ping pong balls coast?
You don't give how many ping balls are in the "set" but if you know you can solve by:
Divide the total cost by number of balls in the set.Multiply the unit cost by 320.Best of Luck!
Is 1.875 an rational or irrational number
Answer:
it is rational
Step-by-step explanation:
because our is a finite decimal which can be converted into a fraction
What value of x makes this proportion true?
25/20=X/4
O A. 5
O B. 20
O C. 9
O D. 6
 death valley located in the United States is 282 feet below sea level is the level of Galilee located in Israel is 682 feet below sea level how much further between the lowest point in death Valley is the lowest point in the Sea of Galilee
Answer:
400 feet.
Explanation:
We need to find the difference between the lowest point of Galilee and the lowest point of Death Valley. We can find this by subtracting the lowest point of Galilee by the lowest point of Death Valley. It says the lowest point of Galilee is 682 feet below sea level and the lowest point of Death Valley is 282 feet below sea level. Therefore, we subtract 682 - 282, which equals 400.
Multiply (3)(−4)(2).
Answer:
24
Step-by-step explanation:
3x-4=-12x2=24
Answer:
Your correct answer is -24
Step-by-step explanation:
(3)(−4)(2)
= (−12)(2)
= −24
In 1771, misfortune struck Euler again, when a cataract in his left eye robbed him of his sight entirely. Incredibly, this did not seem to slow him at all. In fact, during his remaining thirteen years, his publishing output accelerated. Of the 886 books and articles he produced in his lifetime – on topics including mathematics, philosophy, mechanics, electricity, astronomy, optics, and music – half of them were completed after total blindness! Use the drop-down menus to complete the statements about Euler's life after he lost his sight. After the cataract took Euler's sight, he . About how many books and articles did Euler complete after he lost his sight entirely?
Answer:
Wrote more books and articles, 450 books!
Step-by-step explanation:
Answer:
Wrote more books and articles, 450 books!
Step-by-step explanation:
just did it
Find inverse of y=1/2x+8
The inverse of a given function y = 1/2x + 8 will be equal to f'(x) = 1/2( x - 8).
What is the inverse of a function?The inverse function of a function that undergoes the operation of f. which is denoted by [tex]f^{-1} (x)[/tex].
The given expression is given as
y=1/2x+8
The inverse of the given expression
[tex]f^{-1} (x) = 1 /2(x - 8)[/tex]
Learn more about inverse;
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Hi I need help,how do you write 5,806 in scientific notation?
Answer:
5.806 × 10³
Step-by-step explanation:
Put a decimal point to the right of the left-most digit: 5.806. Now multiply by the place value of that digit.
5.806 × 10³
___
The 5 is in the "thousands" place. Of course a "thousand" is 1000 = 10·10·10 = 10³. The place value multiplier (1000 or 10³) is written using the exponent when we write scientific notation.
Latrell runs 5 miles during each track practice. How many track practices would it take for Latrell to run 25 miles?
Step-by-step explanation:
400 meters is standard lap distance for a race track. 2 x 50 meters is lap distance in International pools. A lap of 440 yards is 1/4 mile. So 4 laps/mile.
Answer:
It would take her 5 track practices to run 25 miles because she runs 5 miles each practice. We can divide 25 by 5 which gives us 5. So it would take 5 track practices for Latrell to run 25 miles. Hope this helps.
Step-by-step explanation:
Find the product of 3 1/8 and 1 2/7 .
Answer:
4,1/56
Step-by-step explanation:
Atoms are made up of electrons, protons and neutrons. Protons have a positive charge, electrons have a negative charge, and neutrons have no charge. The oxygen atom has 8 electrons and 8 neutrons. How many protons must it have to have 0 charge?
Answer:
Protons and neutrons each count for one AMU, and the electron counts for zero AMU. So, if the atomic mass of oxygen is 16, that means we have a total of 16 protons and neutrons. 16 total protons and neutrons minus 8 protons leaves us with 8 neutrons.
If t is the midpoint of su, find x, st= 8x+11, tu= 12x-1
Answer:
Step-by-step explanation:
8x + 11 = 12x -1
-4x + 11 = -1
-4x = -12
x = 3
slove for x 3(x+1)=-2(x-1)-4
Step-by-step explanation:
3(x+1)=-2(x-1)-4
3x+3=-2x+2-4
by combining like terms on one side and unlike term by other side
3x+2x=2-4-3
5x= -5
x= -5/5
x=-1
Is √ 256 rational or irrational
find the zeros of the function: g(x)=(x -2)(3x +3)
Answer:
x = 2 and x = -1
Step-by-step explanation:
The zeroes of the function are found by setting g(x) equal to 0:
g(x) = (x - 2)(3x + 3) = 0
By the Zero Product Property, in order for this equation to be equal to 0, each of (x - 2) or (3x + 3) or both has to equal 0. So, set each equal:
x - 2 = 0
x = 2
3x + 3 = 0
3x = -3
x = -3/3 = -1
The zeroes are thus x = 2 and x = -1.
~ an aesthetics lover
Answer:
x=2 x=(-1)
Step-by-step:
Solve: (x-2)(3x+3)=0
= x-2=0 3x+3=0
=x-2(+2)=0(+2) =3x-3(-3)=0(-3)
=x=2 =3x=(-3)
=3x/3=(-3)/3
=x=(-1)