Answers
Answer: [tex]D. h^{2}+9h+23[/tex]
Step-by-step explanation:
[tex]f(x)=x^{2} +3x+5[/tex]
1. Input (3+h) instead of x.
[tex]f(3+h)=(3+h)^{2} +3(3+h)+5\\[/tex]
2. Get rid of parentheses.
[tex]f(3+h)=9+6h+h^{2} +9+3h+5\\[/tex]
[tex]f(3+h)=h^{2}+9h+23[/tex]
Therefore, D is the answer.
Related Questions
1
All of the following transformations will return a shape to its original position EXCEPT:
A Translate 3 units up, then 3 units down.
B Reflect over line p, then reflect over line p again.
Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
D Rotate 120° counterclockwise around point C, then rotate 220° counterclockwise around point C.
O
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Except d. Rotate 120 degrees around center c then rotate 220 degrees around again.
Step-by-step explanation:
Let's choose an arbitrary shape to work with the exercise.
For example a square (All the conclusions that we will make can be use with any shape).
For a. Translate 3 units up, then 3 units down is easy to see that this will return the square to its original position. Wherever we translate up and then down the same units a particularly shape this will return to its original position.
For b. Reflect over line p, then reflect over line p again
Wherever we have any particularly shape and we reflect over an arbitrary line twice, the shape will return to its original position. Particularly, the composition of two reflections over the same line is the identity function.
The identity function is the function that doesn't change the shape (It is the analogy of the multiplication by 1 with the common product between real numbers).
c. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
The composition of this three translation will return the square to its original position (Same reasoning as a.)
d. Rotate 120 degrees around center c then rotate 220 degrees around c again.
Given that we choose an arbitrary center c and then chosen an arbitrary rotation sense (counterclockwise or clockwise), the composition of the two rotations is a 340 degrees rotation (given that we sum the degrees).
This transformation will not return a shape to its original position
(Of course, it exists some exceptions such as a rotation of a circle around its center. For any value of degrees, the rotation of a circle around its center will return the circle to its original position).
Generally, option d. is the correct option.
please help quick!! Jane makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
Answers
Answer: a) $30 b) $50 c) $20 each hour d) No, because the line does not pass through (0,0)
Step-by-step explanation:
What is Jane's pay if she doesn't work any hours? This question means how much money does Jane gets paid for working 0 hours (y-intercept). At 0 hours on the x-axis, the point on the line is $30. This can be written as (0,30)
If she works 1 hour, the point where 1 hour on the x-axis meets with the y-axis is $50 dollars. This can be written as (1,50).
Her pay increase each hour is the slope in this given equation as the starting payment before completing any hours work is $30 and the line increases at a positive rate of change. The slope is y^2-y^1 divided by x^2-x^1, and we have (0,30) and (1,50). Plugging them into the formula, 50-30 divided by 1-0 is 20; the slope is $20 for every 1-hour increase).
And for determining whether b and c are equal, every answer choice includes whether the line passes through the point (0,0). After answering problem c, you should find that your equation is y=20x+30 (20 as the slope and 30 as the y-intercept). As a reminder, b is $50 and c is $20, so you already know it is not the top two answer choices. So to see if it DOES pass through (0,0) you can plug the values into the equation OR graph it. Either way, you will see that (0,0) does not pass through the line and that 0 does not equal 30 (0=20(0)+30).
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round your answer to the nearest tenth if necessary.
N
R
33.7
S
Q
O
M
18
47
P
Answers
Answer: 12.9
Step-by-step explanation:
I could use some help with this problem for my algebra 2 class, I'm pretty lost, please give an explanation with your answer, much appreciated!
Question:
Mrs. Galacia is building a chicken farm in 2021 with an initial population of 3750 chickens. The farm grows at a rate of 2.15% annually.
Part (a) Use the exponential growth model to write an equation that estimates the population t years after 2021.
Part (b) Estimate the population of the town in 2036. (I was given an extra step here saying, "Must show plug in step before using calculator")
Answers
Answer:
[tex]y=3750 \cdot 1.0215^t[/tex]
(where [tex]y[/tex] is the population and [tex]t[/tex] is time in years after 2021)
5159
Step-by-step explanation:
Part (a)
General form of an exponential function: [tex]y=ab^x[/tex]
where:
[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex] is the base (or growth factor) in decimal form[tex]x[/tex] is the independent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
We are told that the initial population is 3750. Therefore, [tex]a=3750[/tex]
We are told that the farm grows at a rate of 2.15% annually. Therefore, if it grows then every year it is 100% + 2.15% = 102.15% of the previous year.
Convert the percentage into a decimal:
102.15% = 102.15/100 = 1.0215
Therefore, [tex]b=1.0215[/tex]
We are told that the independent variable is [tex]t[/tex] (in years).
Therefore, the equation is [tex]y=3750 \cdot 1.0215^t[/tex]
(where [tex]y[/tex] is the population and [tex]t[/tex] is time in years after 2021)
------------------------------------------------------------------------------------------
Part (b)
The year 2036 is 15 years after 2021. Therefore, substitute [tex]t = 15[/tex] into the equation and solve for [tex]y[/tex]:
[tex]\implies y=3750 \cdot 1.0215^{15}[/tex]
[tex]\implies y=5159.49068...[/tex]
Therefore, an estimate of the population of the town in 2036 is 5159.
Find the slope and the y-intercept of the line.
y=7x-4. slope: ? y-intercept: ?
Answers
Answer:
Slope: [tex]\boxed {7}[/tex]
Y-intercept: [tex]\boxed {-4}[/tex]
Step-by-step explanation:
About the Slope-Intercept Form equation, the variable [tex]m[/tex] is the slope and variable [tex]b[/tex] is the y-intercept. So, according to the following expression, the slope would be [tex]7[/tex] and the y-intercept would be [tex]-4[/tex]:
-Slope-Intercept Equation:
[tex]y = mx + b[/tex]
Slope: [tex]m[/tex]
Y-intercept: [tex]b[/tex]
-The following expression:
[tex]y = 7x - 4[/tex]
Slope: [tex]\boxed {7}[/tex]
Y-intercept: [tex]\boxed {-4}[/tex]
Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)
Answers
Answer:
y = 2/3x + 3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(3 - 1) / (0 + 3)
= 2/3
So, the slope is 2/3
Plug this and another point into y = mx + b to find b:
y = mx + b
3 = 2/3(0) + b
3 = b
Then, plug b and the slope into y = mx + b
y = 2/3x + 3 is the equation of the line
The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 168 centimeters in 12 seconds.
What is the time in seconds the ant crawls when the total distance is 350 centimeters?
14 s
24 s
25 s
29 s
Answers
Answer:
25
Step-by-step explanation:
14 x 25 gives you 350
Answer:
25 is the answer for people that are in k12
triangle KLM has KL=32, KM= 27, and LM= 21. what is the area of the triangle?
Answers
Answer:
281.15 cm²
Step-by-step explanation:
semi perimeter ( s ) = ( a + b + c ) / 2
=( KL + LM + KM ) / 2
=(32+21+27)/2
= 80/2
=40
Area of triangle =
[tex] \sqrt{s \: (s - a) \: (s - b)(s - c)} [/tex]
[tex] \sqrt{40(40 - 32)(40 - 21)(40 - 27)} [/tex]
[tex] \sqrt{40 \times 8 \times 19 \times 13} [/tex]
[tex] \sqrt{79040} [/tex]
[tex]281.15cm {}^{2} [/tex]
what is 1 1/4 divided by 5/7
Answers
Answer:
1.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
11/4 / 5/7 = 11/4 x 7/5 = 11x7 / 5x4 = 77/20
A plane leaves airport A and travels 550 miles to airport B on a bearing of N35°E. The plane later leaves airport B and travels to airport C 380 miles away on a
bearing of S72°E. Find the distance from airport A to airport to the nearest tenth of a mile
Answers
Answer:
d₃ = 803.9 Miles
Step-by-step explanation:
d₁ = 560 Miles
R₁ = N35⁰E
d₂ = 410 Miles
R₂ = S76⁰E
d₃ = ?
α = 35⁰+76⁰ = 111⁰
We can apply the Law of Cosines as follows
d₃ = √(d₁² + d₂² - 2*d₁*d₂* Cos α)
⇒ d₃ = √(560² + 410² - 2*560*410* Cos 111⁰) = 803.9 Miles
Hannah works at Blooming Bouquets flower shop. She uses 2 roses for every 5 carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with 16 roses.
How many carnations should Hannah use in the bouquet?
Answers
Answer:
40 carnations
Step-by-step explanation:
Using the principle of proportional relationship, the number of carnations to be used in the bouquet is 40
Setting up the proportional relationship thus :
2 roses = 5 carnations ----(1)
16 roses = P carnations - - - - - 2)
Solve for p :
Cross multiply :
2p = 16 × 5
2p = 80
p = 80 /2
p = 40
Therefore, the Number of carnations to be used is 40
Learn more : https://brainly.com/question/18581754
I’ll give Brainly out and likes
Answers
Answer:
59
Step-by-step explanation:
You know the measures of the 2 angle values. you add
52+69=121
Since the interior has to be 180 degrees, you subtract
180-121=59 degrees is the measure of I.
Item 1
Question 1
The graph of which of the following functions does not belong with the other three?
$f\left(x\right)=3x^2+6x-24$
$f\left(x\right)=3x^2+24x-6$
$f\left(x\right)=3\left(x-2\right)\left(x+4\right)$
$f\left(x\right)=3\left(x+1\right)^2-27$
Question 2
This is the only function that does not have x-intercepts at $x=$ Response area and $x=$ Response area and a vertex at (Response area , Response area).
Answers
Answer:
im too slow i thought this was a gta cheat code
Answer:
I only know the first question and it's f(x)=3x^2+24x-6.
If 18 people ride in 3 cars how much people ride in 1 car?
Answers
Answer:
6 people per car
Step-by-step explanation:
divide 18 people by 3 cars to get people per cars.
please rate and mark as brainlest.
i hope this help!:)
You invited 17 people to your house for a party. You want to spend a $50 gift card completely on the items shown. You also want to have exactly two servings of food for each person. A pizza is $6 for 4 servings, and a bag of chicken wings costs $7 for 5 servings. Write a system of linear equations that represents the situation.
Answers
Answer:
6p + 7c = 50
4p + 5c = 34
(where p is the number of pizzas and c is the number of bags of chicken wings)
We need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.
Step-by-step explanation:
Let p = number of pizzas
Let c = number of bags of chicken wings
Equation 1
Given:
Pizza = $6Bag of chicken wings = $7Total spend = $50⇒ 6p + 7c = 50
Equation 2
Given:
Pizza = 4 servingsChicken wings = 5 servingsTotal servings needed = 17 × 2 = 34⇒ 4p + 5c = 34
Equation 3
Multiply Equation 2 by 1.5:
⇒ 6p + 7.5c = 51
Subtract Equation 1 from Equation 3 and solve for c:
⇒ 0.5c = 1
⇒ c = 2
Substitute found value of c into Equation 2 and solve for p:
⇒ 4p + 5(2) = 34
⇒ 4p + 10 = 34
⇒ 4p = 24
⇒ p = 6
Therefore, we need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answers
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(YW)=VZ.
This means 2(7s)=s+52, and thus s=4.
HELP PLEASE! I PUT AN IMAGE BELOW! PLEASE HELP!
Answers
[tex]\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}[/tex]
Which of the following is a factor of 2x^2 - 7x - 15?
a. 2x - 5
b. x - 5
c. x - 3
Please explain
Answers
The answer is B because:
Step 1: You have to write -7x as a difference
2x^2+3x-10x-15
Step 2: Factor out x from the expression
x(2x+3)-10x-15
Step 3: Factor out -5 from the expression because it is the GCF(greatest common factor) of both -10 and -15
x(2x+3) -5(2x+3)
Step 4: Factor out 2x+3 from the expression
(2x+3)(x-5)
Step 5: Look at equation and see what options listed are present in the equation
Step 6 (optional check): Use foil method for the expression (2x+3)(x-5). You will then get the expression you started out with as an answer 2x^2+3x-10x-15.
Tara can type 20 words per minute faster than Steve.
Their combined typing speed is 130 words per minute.
Write and solve an equation to find both Tara and
Steve's typing speed.
Answers
Answer:
it is 6.5
Step-by-step explanation:
Two rental car companies are running specials this month. At Jenny's Rentals, customers will pay $40 to rent a mid-sized car for the first day, plus $14 for each additional day. At Middletown Rent-a-Car, the price for a mid-sized car is $50 for the first day and $4 for every additional day beyond that. At some point, renting from either one of the companies would cost a customer the same amount. How many additional days would that take? How much would the customer pay?
Answers
Answer:
8
Step-by-step explanation:
Solve the inequality
Answers
Answer:
B
Step-by-step explanation:
4 points Kelly walked 5 2/3 miles in 2 hours. How many miles did she walk in one hour if she walked at a steady pace?
Answers
Answer:
[tex]\frac{17}{6}[/tex] or in mixed form = 2[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
5 2/3 divide by 2 = 17/6 of 2 5/6
0.00000247 In scientific notation
Answers
Answer:
2.47 × 10^-6
Step-by-step explanation:
The negative power is in coorilation to how many decimal spots it was moved.
Ex: The 2 in 2.47 was moved left 6 spots.
need help with this asap!! thank you
Answers
Answer:
12 1/4
Step-by-step explanation:
2in
3.5in
1.75in
equals:
12.25 or 12 1/4
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Which quantity is unknown?
A. the total amount paid
B. the number of players
C. the price of a bottle of water
D. the price of an energy bar
Answers
Answer: C the price of a water bottle
Step-by-step explanation: The problem states that the energy bar is $2 so it can’t be D. The math problem also states how many players they have so it’s not B. The math problem says how much they paid which is $77 so it’s not A. However the problem doesn’t state how much the price of a water bottle is so therefore it is C.
Answer:
c
Step-by-step explanation: i got it right on the quiz
Jessica runs 2 1/2 miles in 16 1/4 minutes. What is Jessica’s average time per mile in minutes? Enter the correct answer in the box. IF YOU GET IT CORRECTLY AND ANSWER IT FIRST ILL MARK YA BRAINLY If possible EXPLAIN IT.
Answers
Answer:
6 1/2 minutes per miles
2/13 miles per minutes
Step-by-step explanation:
Distance travelled = 2 1/2 miles
Time taken = 16 1/4 minutes
Average: minutes per mile
= 16 1/4 minutes / 2 1/2 miles
= 65/4 ÷ 5/2
= 65/4 × 2/5
= 13/2
= 6 1/2
Average time per mile in minutes
= 6 1/2 minutes per mile
Average (miles per minutes)
= 2 1/2 ÷ 16 1/4
= 5/2 ÷ 65/4
= 5/2 × 4/65
= 20 / 130
= 2/13 miles per minutes
I need help plz!!!! Anyone?
Answers
Answer:
30
Step-by-step explanation:
2x30=60
3x30=90
60+90+30=150
A
B
C
D
what is the area of the trapezoid
Answers
Answer: b
Step-by-step explanation: the answer is B i think
Alexa is researching a cure for the coronavirus. She needs 14 test tubes for 4 experiments. The first experiment requires 2 test tubes, and the remainder of the tubes are used evenly over the rest of the experiments. How many test tubes did she use for the last experiment?
Answers
Answer:
She used 4 test tubes for the last experiment
Step-by-step explanation:
Total test tubes needed = 14
Experiment 1 = 2 test tubes
Total test tubes remaining = total - used
= 14 - 2
= 12 test tubes
Remaining experiment = 4 - 1
= 3
Test tubes used for the remaining experiment = test tubes remaining / Experiment remaining
= 12 / 3
= 4 test tubes
How many test tubes did she use for the last experiment?
She used 4 test tubes for the last experiment
A manager needs to buy chairs for his office. The price for one chair is$79.99. If the manager buys 2 or more chairs, he will receive a 40% discount on each chair. Approximately how much will the manager save on each chair if he buys 2 chairs?A.$32 B.$40 C.$48 D.$80
Answers
Answer:
A. $32
Step-by-step explanation:
Normal price
1 chair cost = $79.99
2 chairs = $79.99 × 2
= $159.98
Discount price of 2 chairs
40% of $79.99
= 40/100 × 79.99
= 0.4 × 79.99
= 31.996
Approximately
$32
A. $32