Put the following equation of a long into slope intercept form simplifying all fraction
writing polynomial functions write the equation of the polynomial function given the following zeros x= 5 , -2 , -1
Answer:
Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.
using a graphical tool see the attachment
the answer is C) x ≥ -3, x ≠ 2
2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
using a graphical tool
see the attachment
the answer is C) Increasing: x < 7; decreasing: x > 7
3. Perform the requested operation or operations.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x).
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 4x + 7 + 3x^2
(f + g)(x) = 3x^2 + 4x + 7
The answer is C) 4x + 7 + 3x2
4. Perform the requested operation or operations.
f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).
f(x)=(x-5)/8 g(x)=8x+5
g(f(x))=8((x-5)/8)+5=x-5+5=x
the answer is B) g(f(x)) = x
5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.
y=f(g(x))=9/((5x+5) ^1/2)
let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
the answer is A) f(x) = nine divided by square root of x. , g(x) = 5x + 5
6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec
7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)
f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)
8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9
using a graphical tool see the attachment the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units
9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '
f(x)=(x-9) ^1/2 g(x)=(x+5) ^1/2
using a graphical tool see the attachment
the answer is C) Shift the graph of f left 14 units
10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x5 - 7x4 – 6
The answer is B) Degree: 5; leading coefficient: -16
11. Write the quadratic function in vertex form.y = x2 + 4x + 7
Complete the square on the right side of the equation
Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.
a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
Find the value of dd using the formula d=b/2a
d=4/(2*1)=2
Find the value of e using the formula e=c−b2/4a
e=7−4=3
Substitute the values of a, d, and e into the vertex form a(x+d)2+e
(x+2)2+3
The answer is A) y = (x + 2)2+ 3
12. Find the zeros of the function.
f(x) = 3x3 - 12x2 - 15x
using a graphical tool (see the attachment)x1=-1
x2=0
x3=5
The answer is C) 0, -1, and 5
13. Find a cubic function with the given zeros.7, -3, 2
X1=7
X2=-3
X3=2
f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42
the answer is C) f(x) = x3 - 6x2 - 13x + 42
14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3
f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
The answer is the B) 946
15. Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24
The constant term of () is -24
The leading coefficient is 1.
We have to only consider the factors of the constant (leading coefficient = 1)
The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24
The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
Jessica earns $12.50 an hour cleaning houses. If she works from 8:00am to 3:00pm, how much money will she make ?
Answer:
$87.50
Step-by-step explanation:
you do 12.50(hourly wage) times 7 (the number of hours worked)
someone please help me with this question, I've been sitting here for a while trying to figure it out.
Answer:
B) h=10
Step-by-step explanation:
5sq rt 2=sq rt 50
Pythagorean theorem
(sq rt 50)^2=50
h^2=50^2+50^2=100^2
h=10
equivalent expression for (a −7 ⋅b −2 ) −9 =?.
The equivalent expression of (a⁻⁷ . b⁻²)⁻⁹ is a⁶³b¹⁸
How to find equivalent expression?using the law of indices,
[tex](a^{x}) ^{y} = a^{x X y} =a^{xy}[/tex]
Therefore, we multiply the inner exponent by the outer exponent.
(a⁻⁷ . b⁻²)⁻⁹ = a⁻⁷ ˣ ⁻⁹ b⁻² ˣ ⁻ ⁹
a⁻⁷ ˣ ⁻⁹ b⁻² ˣ ⁻ ⁹ = a⁶³b¹⁸
Therefore,
(a⁻⁷ . b⁻²)⁻⁹ = a⁶³b¹⁸
learn more on expression here: https://brainly.com/question/10718087
#SPJ1
Jane was playing a game with her sister, Sally. Jane was down by 7. After her next turn, she was down by 3. Which of the following mathematical statements represents this scenario?
A. - 7 + -3 = -10
B.
- 7 + 3 = - 4
C. - 7+ 4 = - 3
D. - 7 + - 4 = - 11
Answer:
A. -7 + -3 = -10
Step-by-step explanation:
Jane went down by 7, so -7. Then, she went down by 3, so -7 + -3.
-7 + -3 = -10
Hope this helped! <)
(Sorry if this is wrong!)
I’m taking a test and I need help, I’m not even that smart but I just need help :)
Answer:
Step-by-step explanation:
All of the answer choices are wrong lol. The answer choice is supposed to be (173+124) divided by 3. Total students divided by student per seat. Your closest answer choice is going to be (175+125) divided by 3. Hope this helped!
Please help me out ASAP will give brainliest!!
Answer:
SEE EXPLANATION
Step-by-step explanation:
Side opposite to larger angle is larger and the side opposite to smaller angle is smaller.
Side opposite to the angle ABH is AH
and side opposite to angle GHB is GB
Since angle ABH > angle GHB..... (given)
Therefore, AH > GB
can you help with this is it right or wrong
Answer: Yes, its right.
Step-by-step explanation:
1/2 / 6= 0.08333...
Please help me I will give brainlist
Answer:
4
Step-by-step explanation:
2% of 100 is 2 then you do 2x2 for 4
Answer:
$104
Step-by-step explanation:
Compound interest is an interest on an interest. By that I mean you have $8 and 50% interest. 50% of 8 is 4, so 8+4=12. Then add on another 50%, half of 12 is 6. So 12+6 is 18, and so on.
Andrea has $100. 2% interest not compunded.
2% of 100 is 2.
So, 100+2 is 102.
Since it's not compounded, we just add another $2.
100+2+2=$104
-1
3
2
0
d
N
e
4
f
d =
e =
f=
NE
Answer:
What is the question itself?
help pls no rip me off for points
Answer:
B.
Step-by-step explanation:
4*s = 4s
4*3 = 12
Use the property of distribution
hope this helps :)
Answer: 4 (s + 3)
Step-by-step explanation:
what is 5+2 x 34-19+85-23
Answer:
116
Hope this helps you :)
Which triangle most likely has the angles 56°, 48°, and 76°? A. triangle A O B. triangle B C. triangle C O D. triangle D
Which statement about f(x)=x^2+16x+3 is true?
A. The function has a maximum value of 3
B. The function has a maximum value of 16
C. The function has a maximum value of -8
D.The function has a maximum value of -61
Answer:
I think D the function has a maximum value of -61
Step-by-step explanation:
(PLEASE HELP)
Which equation has no solution?
Hope you have a good day, Loves!
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
You don't need to, I'm just glad I could help. ^^
(If I did help-)
Answer:
B. 32×+25-21×=10×
32×+21-25=10×
5×-25=10×
-25=10×-5×
-25=5×
5×/5=25/5
Answer
×=5
Pls help will mark brainliest
Answer: subtract 10
Step-by-step explanation: 25 - 10 =15
!lol help pls im vv bad at math and angles
Answer:
y=130°
Step-by-step explanation:
180-(90+40)
180-130
50°
y=180°-50°
=130°
Determine the approximate value of c? PLEASE HELP i’m cashapping people who are legit
The number of student athletes at a high school is 475 and is increasing at a rate of 4.8% per year. Use an exponential function to find the number of student athletes after 9 years.
please show your work!!!
Answer:
475 × 1.48^9 or 16182
Step-by-step explanation:
We start with 475. Then to find the number of students after 1 year we mult 475 by 1.48 (48% + 1 because we're increasing in students). But, to get it after 9 years, we raise that 1.48 to the power of 9 which is equal to 1.48 * 1.48 * 1.48 and so on 9 times. This leads us to our final equation of 475 * 1.48^9 or roughly 16,182
Answer:
Step-by-step explanation:
475 4.8
Someone help please ASAP!!! 15 points available
Answer:
A E F
Step-by-step explanation:
I just did it on a calculator and saw if was a recurring
Help me please, I need help with this it's a major grade so please don't joke around I will give brainliest and 5 stars
Answer:
D
Step-by-step explanation:
a clockwise rotation 90 degrees results in a transformation like this:
[tex](x,y)[/tex]⇒[tex](y,-x)[/tex]
plz mark me brainliest. :)
Can someone help me on this?
Answer:
42
Step-by-step explanation:
wasdwasdwasdwasdwasdwasdwasdwasd
Answer:
Thx for points
Step-by-step explanation:
Answer:
aukrfgauvkauvbafgvaaw
Step-by-step explanation:
Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 2 1/2 cups of chocolate chips. The total amount of chips and oats after doubling is 6 1/3 cups.
Write an equation to find the original amount of oats, x, in the recipe.
5kg of compost cost £7.50. Find the cost of 10kg of compost and 100kg of compost
Answer:
15 AND 150
Step-by-step explanation:
7.50/5
1.5
multiply by 10
15
1.5
multiply by 100
150
what is 13 inches equal to in feet
Answer: 1 1/12 feet
Step-by-step explanation:
Evaluate 0.035×1.02 , leaving the answer in standard form.
Answer:
0.0357
Step-by-step explanation:
24. Si 2x-7=3, luego 3x+l=
1.4
2.5
3.7
4.12
5. 16
PLEASE HELP! DUE SOON! YOU ARE AMAZING
Function A is represented by the equation y = 2x + 5.
Function B is a linear function that goes through the points shown in the table.
Heres the table:
x | 1 | 3 | 4 | 6 |
Y | -1 | 3 | 5 | 9 |
Which statement correctly compares the rates of change of the two functions?
A. The rate of change of function A is 5.
The rate of change of function B is 2.
B. The rate of change of function A is 2.
The rate of change of function B is 2.
C. The rate of change of function A is 2.
The rate of change of function B is 4.
D. The rate of change of function A is 5.
The rate of change of function B is 4.
Answer: Is D
Step-by-step explanation:
I hope I am right if I'm not please correct me
Answer:
B.The rate of change of function A is 2.
The rate of change of function B is 2.
Rate of function A: 2 (coefficient for x)
Rate of function B: 2, because an increment of 1 in x (e.g. 3 to 4) yields an increment of 2 in y (3 to 5)
Have a beautiful day!