Answer:
I THINK is (57°) if it wrong im sorry.
1) Graph the quadratic function given in standard form and identify the key features. Include at least 5 points on your
graph.
y = -x2 - 2x + 1
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
Answer:
Please find attached the graph of the quadratic function is created using Microsoft Excel
1) The line of symmetry is x = -1
2) The vertex is (-1, 2)
3) The y-intercept is (0, 1)
4) The domain is -∞ ≤ x ≤ ∞
5) The range is 2 ≥ y ≥ -∞
Step-by-step explanation:
The given equation is y = -x² - 2·x + 1
The general vertex form is y = a·(x - h)² + k
h = -b/(2·a) = 2/(-2) = -1
k = f(h) = -(-1)² - 2×(-1) + 1 = 2
Therefore;
1) The line of symmetry goes through the vertex and the line of symmetry is x = -1
2) The vertex = (h, k) = (-1, 2)
3) The y-intercept is the coordinate of the point where x = 0 which is (0, 1)
4) The domain are the possible x-values, therefore, the domain = -∞ ≤ x ≤ ∞
5) The range is the possible values y-values.
From the graph, we have the range = 2 ≥ y ≥ -∞
The graph of the quadratic function is created using Microsoft Excel by generating y-values based on the equation and using the graphing function to insert a two dimensional graph of the generated combination of x and y values as shown in the attached figure.
For f(x) = 4x + 1 and g(x) = x ^ 2 - 5 , find (f o g)(4)
Step-by-step explanation:
(f o g)(x)
= f(x² - 5)
= 4(x² - 5) + 1
= 4x² - 19.
Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.
Answer:
[tex]\boxed {\boxed {\sf 45}}[/tex]
Step-by-step explanation:
When solving a composition of function composition, work from the inside to the outside.
We have the composition:
(f o g)(4)We must start on the inside, and find g(4) first.
1. g(4)
The function for g is:
[tex]g(x)=x^2-5[/tex]
Since we want to find g(4), we have to substitute 4 in for x.
[tex]g(4)=(4)^2-5[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.
(4)²= 4*4= 16[tex]g(4)=16-5[/tex]
Subtract 5 from 16.
[tex]g(4)= 11[/tex]
Now, since g(4) equals 11, we have:
(f o g)(4)= f(11)2. f(11)
The function for f is:
[tex]f(x)= 4x+1[/tex]
We want to find f(11), so substitute 11 in for x.
[tex]f(11)= 4(11)+1[/tex]
Solve according to PEMDAS and multiply first.
[tex]f(11)= 44+1[/tex]
Add.
[tex]f(11)= 45[/tex]
(f o g)(4) is equal to 45.
What what is the range for the function f(x)=20x+4
Need help someone please help me!!
Step-by-step explanation:
g(r) = 25 - 3r
When r = 4, g(4) = 25 - 3(4) = 25 - 12 = 13.
Answer:
[tex]\boxed{\pink{\sf The\ required\ answer\ is\ 13 .}}[/tex]
Step-by-step explanation:
According to the Question , a function is given to us which is ,
[tex]\implies g(r) = 25 - 3r [/tex]
And we need to find the value of g(4) . So , substituting r = 4 , we have ;
[tex]\implies g(r) = 25 - 3r \\\\\implies g(4) = 25 - 3(4) \\\\ \implies g(4) = 25 - 12 \\\\\boxed{\red{\tt\implies g(4) = 13 }}[/tex]
Hence the required answer is 13.
D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?
Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]
So, the 5th term in the above sequence is 5.
Answer:
5
Step-by-step explanation
50 to the 9th power.
Answer: 1.953125e+15
Step-by-step explanation:
If six people share 4 pints of lemonade equally, how much lemonade will each person receive?
Answer:
1.5
i think
Step-by-step explanation:
shreya has 40 pairs of shoes stacked in boxes if a pair is 2 shoes how many shoes does shreya have
Answer:
80 shoes
Step-by-step explanation:
40 times 2= 80
Can someone help me
Answer:
ok sooo just go over the grfat and mm count it up to the dot.
Step-by-step explanation:
given the graphs of f(x)=5x+1 and g(x)=x+5, find the solution to this system of equations
y=-5x=1
y-x=5
a. (0,1)
b.(0,5)
c. (1,6)
d. (-5,0)
Answer:
C. (1,6)
Step-by-step explanation:
y=5x+1
y=x+5
x+5 = 5x+1
4x = 4
x = 1
y = 1 + 5 = 6
(x,y) = (1,6)
Write a 3-digit number that can be divided by 3 but not by 10.
Answer:
Hi
999
Step-by-step explanation:
Write a polynomial for the given real-world situation. If the length of a rectangle is 3x^2-4x+5 and the width is 2x + 1, write and simplify a polynomial expression for the area of the rectangle. 3 points for mathematical process and 2 points for correct answer.
Answer:
[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]
Step-by-step explanation:
Given that:
Length of a rectangle = [tex]3x^2-4x+5[/tex]
Width of rectangle = [tex]2x + 1[/tex]
To find:
Simple polynomial expression for finding the area of rectangle.
Solution:
First of all, we should know about the formula for finding the area of rectangle. Then we should know how to multiply two polynomials.
Formula for area of a rectangle in terms of its length and width is:
[tex]Area= Length \times Width[/tex]
Putting the given values:
[tex]Area = (3x^2-4x+5)(2x+1)[/tex]
Here, we can use the distributive property of multiplication for finding the value of the above multiplication expression.
[tex](A+B)\times (C+D) = A\times C + A\times D+ B\times C + B \times D[/tex]
Therefore, the multiplication of above polynomials can be written as:
[tex]Area = (3x^2-4x+5)(2x+1)\\\Rightarrow Area = 3x^2(2x+1)-4x(2x+1)+5(2x+1)\\\Rightarrow Area = 6x^3+3x^{2} -8x^{2} -4x+10x+5\\\Rightarrow Area = 6x^3+-5x^{2} +6x+5[/tex]
Therefore, the answer is:
[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]
Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described
What is the answer to this math problem it's confusing? 40-(27+3)/2
Answer:
Anwsers is 25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Use the correct order of operations.
40 - (27 + 3)/2 = 40 - 30/2 = 40 - 15 = 25
Answer: 25
• How many terms are in this expression? What
are they?
6x + 4y - 9
Please help
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the standard deviation is 3.1 years. Use the empirical rule (68-95-99.7\%) to estimate the probability of a gorilla living between 11.5 and 27 years.
Answer:
go to a called math and way but without the space or the and
Step-by-step explanation:
Answer:
97.35%
Step-by-step explanation:
Khan academy
what type of transformation is described by (x,y)-(x+2,y+3)
Answer:
reflection across the x axis.
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Write the algebraic expression for...
The product of a number x and 10
Answer:
10x
Step-by-step explanation:
product In math means multiplication, whiles and means addition
On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent
Fraction: 19/20
Decimal: 0.95
Percent: 95%
write - 1/2x+ y = 10 in slope-intercept form,
Answer:
y = 1/2x + 10
Step-by-step explanation:
y = mx + b (slope intercept form equation)
-1/2x + y = 10
+1/2x +1/2x (What you do to one side must be due to the other)
y = 10 + 1/2x or y = 1/2x + 10 (use to commutative property to swap the terms)
y = 1/2x + 10 (therefore this is in slope intercept form)
A box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches. What is the volume of the box, in cubic inches?
A box has a width of 4 inches, a length of 8 inches, and a height of 12 inches.
Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height.
Answer:
Volume=384 inches squared
Step-by-step explanation:
Multiply the width to the length. Therefore it would be 32. Next you multiply 32 to your height, giving you an answer of 384
Simple. 12in cubed.
Also if u wanted me to be VERY specific as to what 12in cubed equals it would be 1728.
solve for x
−2(x+14)+1=5
Answer:
x=-16
Step-by-step explanation:
−2(x+14)+1=5
Step 1: Simplify both sides of the equation.
−2(x+14)+1=5
(−2)(x)+(−2)(14)+1=5(Distribute)
−2x+−28+1=5
(−2x)+(−28+1)=5(Combine Like Terms)
−2x+−27=5
−2x−27=5
Step 2: Add 27 to both sides.
−2x−27+27=5+27
−2x=32
Step 3: Divide both sides by -2.
−2x
−2
=
32
−2
x=−16
Answer:
x=−16
Answer:
-2(x + 14) + 1 = 5
-2x - 28 + 1 = 5
-2x - 27 = 5
-2x = 32
x = -16
Drake is saving money to buy a new computer for $1,200. He already has $450 and plans $30 a week. The function y = 30x + 450 represents the amount Drake has saved after x weeks. How many weeks will it take Drake to save enough money to buy the computer?
Answer:
25 weeks
Step-by-step explanation:
step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200
step 2.- subtract 450 from each side
1200=30x+450
-450 -450
750=30x
step 3.- divide by 30 on both sides
750=30x
30 30
x=25
i dont know if this helps but i am still learning how to explain on here. :)
Answer:
it will take him 25 weeks
Step-by-step explanation:
because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.
will mark brainliest ~ Select the correct answer. Which function is the inverse of f(x)= x^2 – 16 if the domain is
[tex]x \geqslant 0[/tex]
Step-by-step explanation:
y = x² - 16
x² = y + 16
x = sqrt(y + 16) as x is non-negative.
Therefore f^-1(x) = sqrt(x + 16). (A)
Answer:
the answer is A
Step-by-step explanation:
50KM into CM.Full step pls
Answer:
Step-by-step explanation:
1km = 100000cm
50 km = 50 x 100000 = 5000000cm
Ruth is at the park standing next to a slide.
Ruth is 5 feet tall, and her shadow is 3 feet
long. If the shadow of the slide is 7.5 feet
long, what is the height of the slide? Assume
the triangles are similar.
Answer:
The slide is approximately 12.75 feet.
Step-by-step explanation:
We know that Ruth is 5 feet tall, and her shadow is 3 feet tall.
5 ÷ 3 = 1.7 when rounded to the nearest tenth
Therefore, the shadow height of an object multiplied by 1.7 is the height of the actual object.
If the shadow of the slide is 7.5 feet, we need to multiply 7.5 by 1.7.
7.5 x 1.7 = 12.75
Therefore, the slide is approximately 12.75 feet.
Hope this helps! :D
Last year, Nancy bought a mountain bike for $570. Her bike has depreciated since she bought it. It is now worth $410. What percent did the value of Nancy’s bike depreciate over the past year? Round the the nearest whole percent.
an article bought for rupees 350 is sold at a profit of 20% find its selling price
Answer:
420
Step-by-step explanation:
20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).
Answer:
350 is our cost price and if we add our proft we get selling price
our profit=( 20/100)×350
i.e.70 so our profit is 70
then,
350+70= selling price
we get 420 as selling price
1/4 , 1, 4, 16, 64, ________, ________, ________
Answer:
256, 1024, 4096
Step-by-step explanation:
Multiply the number by 4 to get the next one.
Brainliest please
Pls help!!!! I will give brainilist
Answer:
I dont know bhai mara majo gonna be roky
Step-by-step explanation:
no only I did u lolamavo