Answer:
The domain of g(x) is -3 to infinity
Step-by-step explanation:
Given
[tex]g(x) = \sqrt{x + 3}[/tex]
Required
Determine the domain of g(x)
We start by expressing the content of the square root in the following form:
[tex]x + 3 \geq 0[/tex]
Subtract 3 from both sides
[tex]x + 3 -3 \geq 0 - 3[/tex]
[tex]x \geq 0 - 3[/tex]
[tex]x \geq - 3[/tex]
This can be expressed using interval notation as follows:
[tex]\{x: -3, infiniti\}[/tex]
Hence, the domain of g(x) is -3 to infinity
Answer:
All real values of x such that x ≥ −3
Step-by-step explanation:
the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle
P = 3AC + BC
Step-by-step explanation:AB = 2AC
P = AB + AC + BC
replace AB
P = 2AC + AC + BC
P = 3AC + BC
How can you write and solve equations and inequalities.
Answer:
1.) You my add any positive or negative number to both sides of an inequality.
2.) You may multiply or divided both sides of an inequality by any positive number.
Step-by-step explanation:
*Hope this helped*
The procedure is summarized in three steps: 1) Write expressions, 2) Simplify/reduce expressions, 3) Solve for each variable.
The procedure of Writing and Solving Equations and Inequalities: is described below:
1) Write a number of Equations with same quantity of Variables, in order to solve the System.
2) Use Algebra properties to Simplify and Reduce the number of Expressions.
3) Solve for each reduced Expression.
Please see this question related to Equations: https://brainly.com/question/8743486
Can someone help me with this simple math problem, you can easily get points if you know the answer correctly. Also I will mark whoever can answer this correctly brainest or whatever you call it. -Thank You
Answer:
RATIONAL
Step-by-step explanation:
Answer:
NOT RATIONAL
Step-by-step explanation:
Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
Answer:
3.5 miles
Step-by-step explanation:
The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.
d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks
Since each block is 0.1 miles, the distance in miles is ...
distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles
Rounded to tenths, the distance from school to mall is 3.5 miles.
What is the value of y ?
Answer:
y = 80
The opposite angle of y is 80.
For each incorrect answer on a test, the teacher changes the total points possible by - 3
points. The total number of points possible on a test is 64. If a student has 8 incorrect
answers, what will be that student's score?
Answer:
40
Step-by-step explanation:
You would mutiply 8 times -3 and you would get -24 and 64 + (-24) = 64 - 24 which equals 40
The student's score on the test will be 40.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the mark for the correct answer is x
Then,
Correct marks(score) + incorrect marks = total marks
x + incorrect marks = total marks
x = total marks - incorrect marks
Now,
Total marks = 64
Incorrect marks = 8(3) = 24
So,
x = 64 - 24 = 40.
Hence "The student's score on the test will be 40".
For more about the equation,
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Evaluate the expression when a= - 7 and y= 2 a-2y
Answer:
j=7
Step-by-step explanation:
write 0.46 repeating as a fraction in simplest form
Find the value of 15-8 divided by 2
15-4=11
Step-by-step explanation:
Answer:
it’s 11 hun
Rewrite the decimal fraction as a decimal number.
8 25/1,000
82.5
8.025
8.25
8.0025
Answer:
8.025
Step-by-step explanation:
If you count the zeros in 1000, it's three. Count three starting from the back of 25. Add 0 in front of 25 to make it a three digit number. You then put the decimal point with the whole number.
Answer:
B. 8.025
Step-by-step explanation:
Hope it helped!
You buy a watch for $60. There is a 6% sales tax. What is your total cost for the
watch?
Answer:
$63.3
Step-by-step explanation:
You buy a 60 dollar watch.
60
There is a 6 percent tax. When adding tax, multiply the 6 percent by the original amount.
60 x 0.06
3.6
Add the tax to the original amount.
60 + 3.6 = 63.3
So, your total cost is 63.3 dollars.
Answer:
$63.60
Step-by-step explanation:
solve: 3e-18=4(-3 - 3/4e)
Answer:
Step-by-step explanation:
3e - 18 = -12 - 3e
6e - 18 = -12
6e = 6
e = 1
what is the answer to x/-4 <16
[tex]\frac{x}{-4} < 16[/tex]
16 yı karşıya at;
x/-4-16<0
(-x-64)/4<0
-x-64<0
-64<x
x>-64
Answer:
x > −64
I hope this helps!
You are at a rate of pay for $24.00/hour. You work a 32 hour work week. What is your gross pay?
3/4 is 1/3 of what number? Write a division expression to match this expression
Abed says he has written a system of two linear equations that has an infinite number of solutions. one of the equations of the system is y=3x-1. which could be the other equation?
Answer:
[tex]ay=3ax-a[/tex]
Step-by-step explanation:
to have an infinite number of solutions it must be the same line
so the other equation must be
[tex]ay=3ax-a[/tex]
fo [tex]a[/tex] a known value
Answer:
c
Step-by-step explanation:
edge 2020 Dec 9
Gracie can iron 3 shirts in 13 minutes. At this rate, how long will it take her to iron 10 shirts? Which proportion shows how to solve the problem?
Answer:
43 1/3 minutes to iron 10 shirts
Step-by-step explanation:
Number of shirts : Time taken
3 shirts : 13 minutes
10 shirts : x minutes
3 / 13 = 10 / x
Cross product
3 * x = 13 * 10
3x = 130
Divide both sides by 3
3x / 3 = 130 / 3
x = 43 1/3 minutes
x = 43 minutes 20 seconds
It will take 43 minutes 20 seconds to iron 10 shirts
What is the reasoning in the Proof? PLEASEee helppp I’m Stuckkk
Answer:
systemetic property
hope it is helpful for you
Step-by-step explanation:
please follow and mark braniest
What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis? Choose 1 answer:
Answer:
5.6568 units
Step-by-step explanation:
Given the following points :
(8, - 3) and (4, - 7).
Find the distance between them.
(8, - 3) : x1 = 8, y1 = - 3
(4, - 7): x2 = 4, y2 = - 7
Distance (d) = √[(x2 - x1)² + (y2 - y1)²]
d = √[(4 - 8)² + (-7 - (-3))²]
d = √[(-4)² + (-7 +3)²]
d = √[16 + (-4)²]
d = √16 + 16
d = √32
d = 5.6568
d = 5.66 units
Help me do this please!
Answer:
Step-by-step explanation:
Part a:
a. Slope for line 1: (0 + 1)/(8 - 4) = 1/4
b. Slope for line 2: (-6 - 2)/(2 - 0) = -8/2 = -4
c. Slope for line 3: (-6 + 7)/(-3 - 6) = -1/9
Part b:
Line 1 and Line 2: perpendicular
Line 1 and Line 3: neither
Line 2 and Line 3: neither
3k + 3n = 3(k+n)
is this
association axiom for addition or multiplication
Answer:
Yes it is ✔️✔️✔️
Axiom for multiplication
hope this helps uh
What is the product of -15 and -3?
05
-5
-18
45
Answer:
45
Step-by-step explanation:
negative times negative equals positive
In Juneau, Alaska, the temperature was -15°F in
the afternoon. As a cold front approached, the
temperature dropped 9°F. What was the final
temperature after the cold front?
Ralph’s current annual income is $32,000. Using the graph shown below, Ralph has calculated that he will have to pay a total of $9,280 in federal taxes this year. Which of the following statements is true?
Answer:
c
Step-by-step explanation:
Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Ralph’s current annual income is $32,000.
Total of $9,280 in federal taxes this year.
32000(0.24) = x
7680 = x
Thus, Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.
a.
Ralph’s calculation is too high, he has only calculated state taxes.
b.
Ralph’s calculation is too high, his calculation includes state taxes.
c.
Ralph’s calculation is correct, he will have to pay $9,280 in federal taxes this year.
d.
Ralph’s calculation is too low, he did not include medical care in his calculation.What is gross pay.
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Looking at the labeled information in the figure below, create a statement that details a pair of angles (not already labeled) that are congruent because of corresponding parts of congruent
triangles
(Name the vertices in each angle in alphabetical order)
B
A
lion dose
Answer:
In triangles ΔBAE and ΔCED, which are congruent triangles, ∠ DBA is congruent to ∠CDB because corresponding parts of congruent triangles are Congruent, (CPCTC)
Step-by-step explanation:
The given information are;
In triangle ΔBAE and ΔCED, ∠EAB Alternate angles)is congruent to ∠ECD (
∠CED is congruent to ∠AEB (Vertically opposite angles)
Segment [tex]\overline {BA}[/tex] is congruent to segment [tex]\overline {DC}[/tex] (Given)
Therefore;
Triangle ΔBAE is congruent to ΔCED (Angle Angle Side AAS congruency rule)
Therefore, ∠ DBA is congruent to ∠CDB (Corresponding Parts of Congruent Triangles are Congruent, (CPCTC))
Mary is traveling to Ecuador for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Florida, located at (1, 4) on the map’s coordinate grid, makes a stop at the midpoint, Panama, located at (5, 7 ) on the map’s coordinate grid. and then heads to its destination, Ecuador. Find the location of Ecuador on Mary’s map. Group of answer choices (3, 5.5) (8, 9) (0, 0) (9, 10)
Answer:
(9, 10)
Step-by-step explanation:
We are told that the coordinates of Mary's departure location is (1,4)
Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).
Now, we want to find the coordinates of her final destination.
Let the coordinates of her final destination be (x, y)
Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;
(x + 1)/2 = 5
x + 1 = 5 × 2
x + 1 = 10
x = 10 - 1
x = 9
Similarly, to get y;
(y + 4)/2 = 7
y + 4 = 14
y = 14 - 4
y = 10
Thus, the coordinates of her final destination is; (9, 10)
On Wednesday, I bought 8 more pieces of candy. By sunday, half of the candy was taken by my sister and there were 22 pieces left. How many pieces of candy did I start with?
Answer:
52
Step-by-step explanation:
22 times 2 plus 8 is 52
A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks. What is the ratio of boxes of socks to boxes of shoes
Answer:
0.4561
Step-by-step explanation:
If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.
amount of boxes of socks : amount of boxes of shoes = 26:57
26:57 = 26/57
26/57 ≈ 0.4561
Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561
Solve the following expression when
m = 5 and d = 4
m2 + 2d + 8 + d
Answer:
answer is 45
Step-by-step explanation:
What is the sum and classification of 3/20 + the square root of 10 and is it rational
Answer:
The correct option is 1
Step-by-step explanation:
Given the number . we have to identify the number is rational or irrational
As we know is irrational
i.e
The above number is irrational as it is non repeating and non-termination number after decimal.
As the sum of a rational and an irrational must be irrational
∴ is irrational which gives the sum 3.31227766....
hence, the correct option is 1)