Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Step-by-step explanation:
Identify the input values.
Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...
The solution(s) are the domain of the function.
A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100
Answer:
3,675 people
Step-by-step explanation:
First row, a = 20
Common difference, d = 5
number of terms, n = 35
Sn = n/2 {2a + (n - 1)d}
= 35/2 {2*20 + (35 - 1)5}
= 35/2 {40 + ( 34)5}
= 17.5(40 + 170)
= 17.5(210)
= 3,675 people
The answer is actually 3675.
My reasoning: Plug it in and you shall see!
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. What are all the possible numbers can this rabbit be now?
It should be noted that since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.
What is a number line?A number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values. From the previous problem, the total distance covered by the rabbit is given by:
Total distance = 4 units + 2 units + 1 unit
Total distance = 7 units.
Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:
Total distance = 10 units + 7 units
Total distance = 17 units.
Learn more about number on:
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At a holiday camp, the ratio of boys to girls is
3
:
4
and the ratio of girls to adults is
5
:
7
. What is the ratio of children to adults at the camp?
Input note: give the ratio in its simplest form.
Answer:
5:4
Step-by-step explanation:
Step-by-step explanation:
boys : girls : adults
3 : 4 :
5 : 7
15 : 20 : 28
children : adults
15 + 20 : 28
35 : 28
5 : 4
Hank's car travels 600 feet in 20 seconds. Andy's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle? Explain your reasoning.
Answer:
the car travels faster
Step-by-step explanation:
Since the motorcycle has traveled 300 feet, and the car has traveled 600 feet, we will divide 600 by 2
600 divided by 2 = 300
Hank would have traveled 300 feet in 10 seconds
Andy traveled 300 feet at 12 seconds
Therefore Hanks car travels faster
Answer:
The car travels faster
Step-by-step explanation:
600 ft per 20 secs
How many feet in one sec?
600/20 = 30
Hank's car = 30 feet per second
300 feet in 12 sec
How many feet in one sec?
300/12 = 25
Andy's motorcycle = 25 feet per second
An angle measures 114° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
66°
Step-by-step explanation:
x+114°=180°
x+114°-114°=180°-114°
x=66°
12. Three friends went to an ice cream parlor for ice cream. They each paid $3.51 for their ice
cream, including an 8% sales tax.
What was the total cost of all three bowls of ice cream before tax was added?
$
Answer:
total cost - $3.23 per icecream cone no tax // cost is $9.69 all 3 ice cream cones no tax // solve by multiplying .08 by $3.51. you get .28 // subtract that from $3.51 to solve
What is the answers the question (a - b)^2
Answer:
(a-b)²
a²+b²- 2×a×b
a²+b² - 2ab
A bag contains 25 cards bearing number 1, 2, 3 …., 25 respectively. One card is drawn at random. What is the probability that number is divisible by 3?
pls help
Answer:
8/25
Step-by-step explanation:
there are 8 numbers from 1 - 25 that are divisible by 3 because 25/3 = 8.3333..
Written out these would be:
3,6,9,12,15,18,21, and 24
so you ahve 8 out of a total of 25
Can someone help? Ill do brainliest, Im trying to get my grades up- <33
Answer: The length of the hypotenuse (c) is 5
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a & b are the legs (b is the base)
c = hypotenuse
a = 4
b = 3
a² + b² = c²
4² + 3² = c²
16 + 9 = c²
25 = c²
√c² = √25
c = 5
find the length of the third side of the right triangle!!!!
Answer:
8
Step-by-step explanation:
There are two ways to solve this!
1. Use the Pythagorean Theorem
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
100 - 36 = b^2
64 = b^2
8 = b
2. Shortcut using 3-4-5 triangles
A 3-4-5 triangle has to do with the ratios of each side.
In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)
can you please give me the real answer -42 = n/7 will give u 5 star rating
Step-by-step explanation:
Sent from my Huawei to the one who makes me so happy in my life thx for everything happy 6 months together baby and I love you so much ik I am so glad you are the one to thank for your life and your
What number represents the same amount of 2 hundreds, 14 tens, and 3 ones.
Answer:
i think the answer would be 343?
Step-by-step explanation:
What is the sqrt of i 25
Answer:
5
Step-by-step explanation:
- ohcogcogdgsogxicrkrxlgx
3n - 2 + 5n, when n = 4
Answer:
30
Step-by-step explanation:
3n-2+5n=8n-2
8(4)-2=32-2=30
Answer:
12 - 2 = 10 + 20 = 30
Already simplified it.
Giving BRAINLIEST for whosoever answers first.
Answer:
hiiii
Step-by-step explanation:
im not sure
Answer:
5+X=m hope this helps!
Step-by-step explanation:
Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers ( Green Leaf Lawn Care will have after w weeks
Answer:
C. c = 64 + 2w
Step-by-step explanation:
You're starting with 64 customers and you're gaining 2 for each week.
good luck, i hope this helps :)
5h – 4 > 6 and 7h + 11 < 32
Answer:
iihi
Step-by-step explanation:
Answer:
h > 2
-------------------------
h < 3
Step-by-step explanation:
5h – 4 > 6
add 4 both sides
5h > 10
divide 5 both sides
h > 2
-------------------------
7h + 11 < 32
subtract 11 both sides
7h < 21
divide 7 both sides
h < 3
Find the number that makes the ratio equivalent to 72:96.
Answer:
72:96=72/12=6
So, 96/12=8
6:8
Answer:
3:4
Step-by-step explanation:
72/24:96/24 ( dividing numerator and denominator by 24)
=3:4
help me pls and thank you
Answer:
B
Step-by-step explanation:
2.25-2.25 is zero, the others have nothing to do with zero. A is a "distractor", but it ends up being 20.
Is this number prime or composite
Answer:
no
Step-by-step explanation:
its composite
Answer:
Composite
Step-by-step explanation:
70 is a composite number as it has factors other than 1 and itself.
2.
When solving an equation that uses division, such as n/8 = 7, what inverse
operation should you use to solve for n?
a) Addition
b) Subtraction
c) Multiplication
d) Division
Help sir! Thank you, Mr Thompson
Problem 1
To find the y intercept, plug in x = 0 and simplify
f(x) = (x-2)(x+4)
f(0) = (0-2)(0+4)
f(0) = (-2)*(4)
f(0) = -8
We have x = 0 pair up with y = -8
The y intercept is (0,-8)
Answer: Choice D
========================================
Problem 2
(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.
The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.
Answer: C) Parabola opens upward
========================================
Problem 3
Answers:
A = h(x)B = f(x)C = g(x)Explanation:
Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).
Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.
Find the value of x
O A.3
O B. 11
O c. 7
OD. 5
Answer:
Step-by-step explanation:
7x+13 = 48
7x = 35
x = 5
Answer:
D. 5
Step-by-step explanation:
The angle should equal 48 degrees as it is congruent to the other angle labeled as 48 degrees.
So, we get the equation 7x + 13 = 48
Subtract 13 from both sides.
7x + 13 - 13 = 7x
48 - 13 = 35
We get 7x = 35
Divide by 7 on both sides.
7x / 7 = x
35 / 7 = 5
We get x = 5.
<1 and 23 can best be described as -
the perimeter of a rectangle is 30 cm. The height is 5 cm . what is the area of that rectangle.
Answer:
Pretty sure its 50
Step-by-step explanation:
if the height is 5, that would be multiplied by 2 because there are two identical sides. From the product, 10, you would need to get to 30, so you add 20. that means the other two identical sides are 10cm. 10x5 (length x width) is equal to 50.
Answer:
[tex]30 = 2 \times l + 2 \times b \\ 30 = 2 \times 5 + 2 \times b \\ 30 = 10 + 2b \\ 30 - 10 = 2b \\ 20 = 2b \\ = 20 \div 2 = 10 \\ area = l \times b \\ 5 \times 10 = 50cm {}^{2} [/tex]
14 deliveries in 7 hours =
deliveries per hour?
Answer:
2
Step-by-step explanation:
14/7=2
write a equation for the following phrase 3 times a number plus 6 equal 9?
Answer:
3n + 6 =9
I hope im right!!
Can someone please give me a simple explanation on exponential functions? I need to write a one page essay over what it is
Answer:
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function
Step-by-step explanation:
What is the measure of the missing angle in this triangle?
35°
60°
155°
25°
Answer:
25 is the answer.
Step-by-step explanation:
Hope this helps!!
(05.05)On the coordinate plane below, what is the length of AB?
O 8 units
9 units
13 units
14 units
