Answer:
f(x + 3) = -x² - 8x - 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationExpandingTerms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = -x² - 2x + 2
f(x + 3) is x = x + 3
Step 2: Find
Substitute in x: f(x + 3) = -(x + 3)² - 2(x + 3) + 2Expand: f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2Distribute -1: f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2Combine like terms: f(x + 3) = -x² - 8x - 13Pls help!!!!
What is the estimated sum of 6/7+ 4/7
Answer:
10/7 or 1 3/7
Step-by-step explanation:
GIVING BRAINLIEST JUST HELP PLZZ.
Answer
V=216
Step-by-step explanation:
V=BxH
24 x 9 = 216
I’m confused on this and I need help
Answer:
it would be the 4th one
Step-by-step explanation:
0 would be the flat surface of the earth, but since the hiker is below the 0, it would be a negative 25
Michelle is hosting a party that starts at 6:00 PM. She realizes she did not freeze the ice cubes! She puts ice cubes in the freezer at 1:00 PM hoping they freeze by the time the party starts. The water is 82 degrees Fahrenheit when put into the freezer and will freeze when it reaches 32 degrees Fahrenheit. In Michelle's freezer the water cools to 80% of the temperature from the previous hour. Will the ice cubes freeze before the party starts?
Answer:
2 hours?
Step-by-step explanation:
I put it in a calc
Which fraction equals 4?
Answer: 8/2
Step-by-step explanation:
63 is 75% of what number?
Enter your answer in the box.
___
Answer: the Answer is 84.
Step-by-step explanation:
2 and 1/4 + 2 and 1/5 + 3 and 5/8
Answer:
[tex] 7 \frac{23}{40} [/tex]
Step-by-step explanation:
2 and 1/4 + 2 and 1/5 + 3 and 5/8
[tex] = 2 \frac{1}{4} + 2 \frac{1}{5} + 3 \frac{1}{8} \\ \\ = \frac{2 \times 4 + 1}{4} + \frac{2 \times 5 + 1}{5} + \frac{3 \times 8 + 1}{8} \\ \\ = \frac{8 + 1}{4} + \frac{10 + 1}{5} + \frac{24 + 1}{8} \\ \\ = \frac{9}{4} + \frac{11}{5} + \frac{25}{8} \\\\(lcm \: of \: 4, \: 5, \: 8 \: = 40) \\ \\ = \frac{9 \times 10}{4 \times 10} + \frac{11 \times 8}{5 \times 8} + \frac{25 \times 5}{8 \times 5} \\ \\ = \frac{90}{40} + \frac{88}{40} + \frac{125}{40} \\ \\ = \frac{90 + 88 + 125}{40} \\ \\ = \frac{303}{40} \\ \\ = 7 \frac{23}{40} [/tex]
Consider the equation:
X2+ 2x – 15 = 0
A) First, use the "completing the square" process to write this equation in the form
(2 + D)2= E
Answer:
x² + 2x - 15 = 0
x² + 2x + 1 = 16
(x + 1)² = 16
You can then go forward with that to solve it:
x + 1 = √16
x = -1 ± √16
x = -1 ± 4
x = 3, -5
A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impact forces that are normally distributed with a mean of 303030 metric tons and a standard deviation of 1.51.51, point, 5 metric tons. Suppose that the manufacturer tests a random sample of 444 cars and calculates the sample mean impact force.
Answer:
_
P(x >30.75)≈0.16
Step-by-step explanation:
just had this question on khan academy.
Find the slope using points:(2, 2) and (-5, 4)
Answer:
2/-7
Step-by-step explanation:
Answer:
-2/7
Step-by-step explanation:
The sum of two consecutive integers is −51. Find the integers.
9514 1404 393
Answer:
-26, -25
Step-by-step explanation:
The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.
Hence, one is -26 and one is -25.
please answer thisss <3 (correctly pls :(.
Answer:
81 or [tex]3^{4}[/tex]
Step-by-step explanation:
[tex]3^{2} * 3^{2}[/tex]
(3 x 3) x ( 3 x 3)
9 x 9
81
The square root means to multiply a number by itself, and in this case, it's 3.
Keep the number 3 the same, and add up the exponents and it gives u [tex]3^{4}[/tex]
Hope this helped!
Can someone help me out please
Determine the value of c that will result in a perfect square trinomial.
w^2+6w+ c =130+c
Answer:
The value of c that will result in a perfect square trinomial is (3)^2 or 9
The perfect square trinomial is: [tex](w+3)^2=139[/tex]
Step-by-step explanation:
We need to determine the value of c that will result in a perfect square trinomial.
[tex]w^2+6w+ c =130+c[/tex]
Perfect square trinomial are of form: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
Now, the equation given is:
[tex]w^2+6w+ c =130+c[/tex]
Looking at the term 6w, we can write it as 2(w)(3)
We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2
So, we will be adding (3)^2 on both sides
[tex]w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139[/tex]
So, The value of c that will result in a perfect square trinomial is (3)^2 or 9
The perfect square trinomial is: [tex](w+3)^2=139[/tex]
If x = -6 and y = 2, evaluate the following expression:
2(y - 3xy)
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2(y-3xy) Equation/Question
Step 2
2(y-3xy) Substitute x and y
2(2-(3)(-6)(2))
Step 3
2(2-(3)(-6)(2)) Simplify the equation
answer
76
Hope this helps
A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.
a. Find the elevation of the road at the point where the road begins.
b. Describe where you would see the point in part (a) on a graph where y represents the elevation in feet and x represents the distance along the road in miles.
15 points
Answer:
It starts at 2000 feet
7, 8
Step-by-step explanation:
Answer:
2000 ft
(7,8)
Step-by-step explanation:
Solve the system of equations.
{−x+y=13x−y=5
What is the y-coordinate?
Enter your numeric answer only.
Answer:
i have find the value of x and y in above figure hope it helps
The y-coordinate that represents the solution to the system of equations is 4
The equations are given as:
[tex]-x+y=1[/tex]
[tex]3x-y=5[/tex]
Make x, the subject in the first equation
[tex]-x+y=1[/tex]
[tex]x = y - 1[/tex]
Substitute y - 1 for x in the second equation
[tex]3x-y=5[/tex]
[tex]3(y - 1) - y = 5[/tex]
Open the brackets
[tex]3y - 3- y = 5[/tex]
Collect the like terms
[tex]3y - y = 5+3[/tex]
Evaluate the like terms
[tex]2y = 8[/tex]
Solve for y
[tex]y = 4[/tex]
Hence, the y-coordinate is 4
Read more about equations at:
https://brainly.com/question/14323743
m < CDE is 82.5°, what is the measure of its complement?
Answer:
7.5°
Step-by-step explanation:
Complementary angles add up to 90°. 90 - 82.5 = 7.5
Determine the value of x in the equation below.
x/5 =15
Answer:
2
Step-by-step explanation:
G measures 117, angle c measures 22, and angle e measures 40. Angle f
Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .
The largest species of jellyfish is the lion's mane jellyfish. One particular specimen has a diameter of 1.03 meters and tentacles that are 29 meters long. The specimen weighs 164 kilograms and can travel at a speed of 1.38 meters per second.
What is the diameter of the specimen in centimeters?
Answer:
The diameter of the specimen in centimeters is 103 cm.
Step-by-step explanation:
In order to determine the diameter in centimeters of the largest specimen of jellyfish, knowing that said diameter is 1.03 meters, and that 1 meter is equal to 100 centimeters, the following calculation must be performed:
1.03 x 100 = X
103 = X
Therefore, the diameter of the specimen in centimeters is 103 cm.
What is equivalent 14×14
Answer:
196
Step-by-step explanation:
14 squared is 196. if thats the answer your looking for
Answer:
196 i believe.
Step-by-step explanation:
hopes this helps :)Meg is packing a shipping conditier.
There is one section of the shipping container that has not yet been packed. The space available is in the shape of rectangular
prism that measures 2 feet by 3 feet by 33 feet.
She will pack as many boxes into the available space as possible. Each box is in the shape of a cube with side length 1 foot.
The space available in the shinning container and one of the boxes are shown below.
Answer:
[tex]Boxes= 198[/tex]
Step-by-step explanation:
This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.
We have the following given parameters.
Shipping Container
[tex]Dimension: 2ft\ by\ 3ft\ by\ 33ft[/tex]
The box
[tex]Dimension: 1ft\ by\ 1ft\ by\ 1ft[/tex]
First, we calculate the volume of the shipping container.
[tex]V_A = 2ft * 3ft * 33ft[/tex]
[tex]V_A = 198ft^3[/tex]
Next, we calculate the volume of the box.
[tex]V_B = 1ft * 1ft * 1ft[/tex]
[tex]V_B = 1ft^3[/tex]
The number of box is then calculated as:
[tex]Boxes= \frac{V_A}{V_B}[/tex]
[tex]Boxes= \frac{198ft^3}{1ft^3}[/tex]
[tex]Boxes= \frac{198}{1}[/tex]
[tex]Boxes= 198[/tex]
Hence:
198 boxes will occupy the empty space
8. (8G5) Using the diagram shown, find the value x and the value of y.
Show your work.
C
y
65°
x
A
D
B
Answer x =
y =
Answer:
interchangable parts, telephone, light bulb, railways, steam engines
Step-by-step explanation:
1131 divided by 29 \
Try It!
(») 1. Write a compound inequality for the graph.
+
0
-2
6 help neededddd!!
Answer:
-2 < x ≤ 6
Step-by-step explanation:
This graph shows conjunction. This means that the two statements of the inequality bare true at the same time. Therefore, it follows that:
x > -2 ("we use greater than" because the empty/unshaded circle indicates that -2 is not included)
And
x ≤ 6 (we use greater than or equal to because the shaded circle indicates 6 is included)
Joining both statements together, we would have:
-2 < x ≤ 6
Paul is filling a kiddy pool that can hold up to 25 gallons of water. The water hose fills the tub at a constant rate. When Paul checks the pool, it contains 5 gallons of water. Three minutes later, the pool contains 7.4 gallons of water. At what rate does the pool fill up with water?
Answer:
0.8 gallons per second
Step-by-step explanation:
Given that :
Filling occurs at a constant rate ;
Change in gallon of water in pool within a 3 seconds time interval ;
Assume :
At t = 0 ; gallons = 5
At t = 3 ; gallons = 7.4
Chanhe in gallons with time.;
(7.4 - 5) / (3 - 0)
2.4 / 3
= 0.8 gallons per second
Each year, a school committee sells donated cakes to raise money for a trip. The table shows the number of cakes sold each year for 5 years.
Year 2011 2012 2013 2014 2015
Number of Cakes Sold 21 28 19 26 21
Which measure of center best summarizes the number of cakes sold each year, and what is the value of the chosen measure?
Move a word and a value to the lines to complete the sentences.
The best measure of center for this data is the
, which has a value of
mean
median
mode
21
22
23
Please help me
Answer:
MODE 21
Step-by-step explanation:
:)
0.66666666666 in 3 significant figures
Answer:We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros
Step-by-step explanation:
16.4 divide 0.8 what is the answer
Answer:
20.5
Step-by-step explanation: