What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4
Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]g(x)=a|x-h|+k[/tex]
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
[tex]f(x)=3|x+4|+1[/tex]
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
Which set of steps shows the solution to the equation 2y = −8?
A) y = −8 − 2; y = 6
B) y = −8 ÷ (−2); y = 4
C)y = −8 ÷ 2; y = −4
D) y = −8 − (−2); y = −6
C is correct answered first give me brainliest plus 5 star rating.
One third of the bagels in a bakery are sesame bagels. There are 72 sesame bagels. Define a variable. Then write and slice an equation to find how many bagels there were in the bakery.
William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17%, percent. What is the total price William pays for the basket of pomegranates?
What is Perfect squares?
The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?
Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses how much did the roses cost?
Simplify number 64. I am a little confused.
How would I set this up?
(It's suppose to be a transformation.)
find the location of the points, multiply the y by 1/3
draw the new triangle using the new points you calculated.
The given series has six terms. What is the sum of the terms of the series? 1 + 3 + 5 + . . . + 11
Answer: The required sum of the terms is 36.
Step-by-step explanation: We are given that the following series has six terms :
1 + 3 + 5 + . . . + 11.
We are to find the sum of the terms of the series.
We see the following pattern in the consecutive terms of the series :
[tex]3-1=5-3= ~~.~~.~~.~~=2.[/tex]
So, the given series is an ARITHMETIC series with fist term 1 and common difference 2.
We know that
the sum of first n terms of an arithmetic series with first term a and common difference d is given by
[tex]S_n=\dfrac{n}{2}(2a+(n-1)d).[/tex]
For the given series,
first term, a = 1 and common difference, d = 2.
Therefore, the sum of first six terms will be
[tex]S_6=\dfrac{6}{2}(2\times 1+(6-1)\times2)=3(2+5\times2)=3(2+10)=3\times12=36.[/tex]
Thus, the required sum of the terms is 36.
What is the solution to the linear equation?
There are some chickens and goats on a farm. Given that the animals have a total of 50 heads and 140 legs, how many more more chicken than goats are there ?
I need some help please
answer (0,10) see pic:
This is the 3rd one I have helped with, you should start seeing a pattern with the answers.
A pair of huskies can comfortably pull a sled with a person weighing 126 pounds If Marjorie wishes to carry an additional 252 pounds of gear, how many dogs will she need altogether?
He was right the correct answer is six dogs
Find all residues (A) such that (A) is its own inverse modulo 317.
Simpler version: Find all numbers (A) that equal its own inverse modulo 317
To solve for the value of the residues A, we can use the formula:
A^2 = 1 (mod prime)
This is only true for prime numbers. The given number which is 317 is a prime number therefore the values of the residues A are:
A = + 1, - 1
Since I believe the problem specifically states for the list of positive integers only and less than 317, a value of A = - 1 is therefore not valid. However, a value of – 1 in this case would simply be equal to:
317 – 1 = 316
Therefore the residue values A are 1 and 316.
Give an example of a polynomial where the ends are both facing downwards.
mrs. Williams uses the following recipe for crispy rice treats. She decided to make 2/3 of the recipe. 2 cups of melted butter, 24 oz marshmallow, 13 cups rice crispy treats.
Fraction number is used to represent the part of a whole. For cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.
Given -To cook full recipe Mr. Williams needs the 2 cups of melted butter, 24 oz marshmallow, and 13 cups rice crispy treats.
In the given question Mr. Williams wants to cook 2/3 of the recipe. For this he need to add all the ingredients in the 2/3 value as compare to the original recipe units.
Fraction numberFraction number is used to represent the part of a whole.
Required cups of melted butter is,[tex]\rm Butter = \dfrac{2}{3} \times 2[/tex]
[tex]\rm Butter = \dfrac{4}{3}[/tex]
Hence, the for the above question we need 4/3 cups of melted butter.
Required oz marshmallow-[tex]\rm oz \ marshmallow= \dfrac{2}{3} \times 24[/tex]
[tex]\rm oz \ marshmallow= 16[/tex]
Hence, the for the above question we need 16 units of oz marshmallow.
Required cups of rice crispy treats-[tex]\rm Rice \ crispy \ treats=\dfrac{2}{3} \times 13[/tex]
[tex]\rm {Rice \; crispy \; treats}=\dfrac{26}{3}[/tex]
Hence, for cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.
Form more about the measurement follow the link-https://brainly.com/question/5014667
What is the variance of the following data? If necessary, round your answer to two decimal places.
12, 13, 8, 13, 9, 11, 12, 9, 11
a)2.99
b)3.02
c)3
d)3.01
Marianne buys a house for 150,000 and the value of the house increases at a rate of 1.2% per year.How much will the house be worth in 10 years .Round to the nearest dollar.
Solve 6x2 = 12x − 20.
Which expression is equivalent to 56 + 21?
PLZ NEED HELP
In the rectangle below, the two quarter circles are congruent. Find the area of the shaded of the shaded region.
Which of the following shows 18/8 as a mixed number and 1 7/12 as an improper fraction?
A) 18/8 = 2 2/8 and 1 7/12=8/12
B) 18/8 = 1 5/4 and 1 7/12 = 1 12/7
C)18/8 = 9/4 and 1 7/12 = 17/12
D)18/8 = 2 1/4 and 1 7/12 = 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
What is improper fraction and mixed number ?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Example 9/4 , 7/2
A mixed number is a number consisting of a whole number and a proper fraction. Example 1 3/8 , 3 1/3
FOR SOLVING THE QUESTION:
Rewriting 18/8 as a mixed number:
8/8=1 whole
So, let's see how many wholes we can get out of 18/8
18/8= (8+8+2)/8
= 8/8 +8/8 + 2/8
=1+ 1+1/4
18/8=2 1/4
Rewriting 1 7/12 as an improper fraction
1 7/12= 1+ 7/12
=12/12 + 7/12
=(12+7)/12
=19/12
Therefore, 1 7/12= 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
Learn more about improper fraction and mixed number here :
https://brainly.com/question/14517500
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7,125,000,000 what is this to the nearest billion
jace estimated the product of (34.57)(–0.74) by rounding each number to the nearest tenth. What was Jace’s estimate?
Answer:
–24.22
Step-by-step explanation:
Answer:
-24.22
Step-by-step explanation:
(aka B on edge)
Write in Expanded form
NEED ANSWER NOW! Worth LOTS OF POINTS!!!
In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions c/a=a/f and c/b=b/e ?
a) the geometric mean (altitude) theorem
b) the geometric mean (leg) theorem
c) the right triangle altitude theorem
d) the SSS theorem
In a right triangle, if we draw an altitude, from the vertex which contains the right angle, to its opposite side, the triangles at both sides of this altitude are congruent and hence congruent to the whole triangle.
The above is called the Right angle altitude theorem.
In PYthagorean theorem, we use the above theorem to prove the proportionate values are equal.
Answer:
It is C
Step-by-step explanation:
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side
You have 24 square pieces of wood. You could lay them out in the following fashion. First number is the number of rows. Second number is the number of columns. For example:
1,24 is 1 row by 24 columns. Here goes:
1,24
2,12
3,8
4,6
6,4
8,3
12,2
24,1
i believe that's all.
It winds up being the number of ways you can multiply two integers to get 24.
Ricky made 86 phone calls in 3 months. In the first month she made 21 calls, and in the second month she made 19 calls. How many calls did she make in the third month? 21 40 46 65
A ball is thrown straight down from the top of a 499-foot building with an initial velocity of -29 feet per second. Use the position function below for free-falling objects.