A function is a mapping from domain to range. The domain of the function [tex]y = \sqrt{x+6} - 7[/tex] is given as: [tex]x \geq -6[/tex] or [tex]x \in [-6, \infty)[/tex] (both are same)
What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.One method of finding the domain of a function is to start by finding the values for which it isn't defined.
Assuming that the function [tex]y = \sqrt{x+6} - 7[/tex] is defined for only real numbers, then, as we know that:
[tex]\sqrt{x}[/tex] exists only if x is non-negative, which means for [tex]\sqrt{x+6}[/tex] to be defined, we need
[tex]x + 6 \geq 0\\x \geq -6[/tex]
No other way is there for the function to be non-existing.
Thus, the values on which the function is defined is all real numbers bigger or equal to -6. This is the domain of the given function.
Thus, the domain of the function [tex]y = \sqrt{x+6} - 7[/tex] is given as: [tex]x \geq -6[/tex] or [tex]x \in [-6, \infty)[/tex] (both are same)
Learn more about domain and range of a function here:
https://brainly.com/question/26077568
Answer:
Its B
Step-by-step explanation:
Chloe sorts her beads. The number of red beads she has
is 55 times the number of green beads. If she has 60 green
beads, how many red beads does she have?
Answer each question below, showing ALL work.
pls- help me ASAP someone :(
Answer:
1)y=3x+2
2)y=-2/2x+4
Step-by-step explanation:
you get the slope from the points and the b from the y intercept.
The hours a shop assistant spends cleaning the store in eight successive weeks are 8, 9, 12, 10, 10, 8, 5, 10. ( a). Calculate the mean for this set of data. (b). How many hours would the shop assistant need to clean in the ninth week for the mean to equal 10
Answer:
a. 9 b. 18
Step-by-step explanation:
Question 8
Which equation is NOT a linear function?
y = 4x - 12
y = 17
II
y = x-2
y = 5x
Find the value of x iready
Solve system of equation:
7x - 4y = 1
5x - y = -16
Answer:
X= -5
y= -9
Step-by-step explanation:
7x -4y = 1
4(5x -y = -16)
(7x - 4y = 1) - (20x -4y = -64)
X= -5
y= -9
A standard die is rolled two
times. What is the probability
that it lands on 1 both times
Answer:
1/6
Step-by-step explanation:
If you roll a 1 then on the second roll (for a fair 6 sided die) the probability that the second roll is a 1 is 1/6 (assuming independence.
Answer:
1/6
Step-by-step explanation:
If the die is fair (and we will assume that all of them are), then each of these outcomes is equally likely. Since there are six possible outcomes ( A standard die has 6 Number { 1,2,3,4,5,6 } ) , the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
[RevyBreeze]
What is the inner and outer functions of tan pi x
Answer:
y = tan(pi x) Write the composite function in the form f(g(x)). Identify the inner function u = g(x) and the outer function y =f(u). Then find the derivative dy/
Step-by-step explanation:
Hopes this helps : )
Which equation represents this situation?
A spin ride can hold up to 24 riders on each trip. A total of 432 riders rode the ride. Every trip was full. How many trips, t, did the spin ride make?
24 = t + 432
24 + t = 432
24 = 432t
24t = 432
Answer:
24t = 432
Step-by-step explanation:
I solved this by dividing 432 by 24, which would give you t.
That however is not an option so i just switched it around :)
Help me AS QUICK AS POSSIBLE PLS
Answer:
15 goes under y and 6 and 8 go under x
Step-by-step explanation:
Solve for b
2(-2b+3)=9
Answer:
b=-3/4 or b=-0.75
Step-by-step explanation:
[tex]2(-2b+3)=9[/tex]
[tex]2b+3=\cfrac{9}{2}[/tex]
[tex]-2b=\cfrac{9}{3} -3[/tex]
[tex]-2b=\cfrac{3}{2}[/tex]
[tex]b=-\cfrac{\frac{3}{2} }{2}[/tex]
[tex]b=-\cfrac{3}{2\times 2}[/tex]
[tex]b=-\cfrac{3}{4}[/tex]
Hope it helps! :)
A grocer sells oranges in bags. Each empty bag weighs 2. 5 ounces and each orange weighs 7. 2 ounces. Khalil buys a bag of oranges that weighs 60. 1 ounces. Which equation can be used to find x, the number of oranges in the bag? 7. 2 x = 60. 1 2. 5 x 7. 2 = 60. 1 60. 1 minus x = 2. 5 7. 2 2. 5 7. 2 x = 60. 1.
The equation 60.1 = 7.2x + 2.5 can be used to find the number of oranges in the bag is 8.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
A grocer sells oranges in bags. Each empty bag weighs 2.5 ounces and each orange weighs 7.2 ounces.
Khalil buys a bag of oranges that weighs 60.1 ounces.
Let x be the number of oranges.
Then the equation will be
y = 7.2x + 2.5
For y = 60.1, the value of x is
[tex]\rm 60.1 = 7.2x + 2.5\\[/tex]
On simplifying, we have
x = 8
Thus, the number of oranges in the bag is 8.
More about the linear system link is given below.
https://brainly.com/question/20379472
how would i find the perimeter and area of this
Answer: P: 6x - 6 + (pi * x/2) A: 3x^2 - 3x - (pi * (x^2)/4)
Step-by-step explanation:
The missing section is a quarter of a circle. It is the same length at 90 degrees difference following an arc. This radius is X, same as the smaller length of the rectangle. The longer length of the rectangle is 2x-3+x, or 3x-3.
Area: Rectangle area is X * (3x-3) or 3x^2 - 3x. Subtract the missing piece. The full area of the circle would be pi * x^2. Divide by 4 for a quarter circle. So the full area would be 3x^2 - 3x - (pi * (x^2)/4).
Perimeter. x + 2x-3 + 3x-3 + the arc. The arc is a quarter of the circle's circumference. pi * 2x over 4. So total perimeter would be 6x-6 + (pi * 2x/4 or pi * x/2).
Just my best guess tho
Which of the following is equal to 3.8 × 8?
A: (3 + 8) × (0.8 + 8)
B: (3 × 8) + (0.8 × 8)
C: (3 × 8) × (0.8 × 8)
D: (3 × 8) + (0.8 × 3)
NEED ANSWER ASAP LIKE NOW ASAP PLEASE!!!
Will give brainliest!!
Answer:
I'm am pretty sure that it is c it can't be a or b
can someone pls help
Answer:
Step 1 is incorrect.
Which of these equations has no solution?
A. m = 0
B. m = m
C. 2m + 1 = m – 2
D. m + 4 = m – 4
HURRY PLEASE
Answer:
a
Step-by-step explanation:
m=0
it is the equations that did not have solution
what fraction of a kilolitre is 250ml ?
Solution:
Note that:
1 kiloliter = 1,000 liters = 1,000 x 1,000 mm = 10,00,000 mL250 mL = 0.25 LPutting this in fraction form:
=> 0.25/1,000=> 1/4,000The fraction of a kiloliter of 250ml is 1/4,000.
Megan uses 2/3 cup of almonds to make 4 cups of trail mix. Using the same porportion,how many cups of almonds would Megan need to make 9 cups of trail mix.
Twelve is fourteen plus an un-
known number.
Answer:
The unknown number is -2
Step-by-step explanation:
Let n represent the unknown number then...
12=14+n
Subtract 14 from both sides:
12-14=14-14+n
-2=n
n=-2
a +3 1/4 = 5 2/9
What’s the answer
Answer:
a = 1.972
Step-by-step explanation:
a + 3 1/4 = 5 2/9
find a common denominator
a + 3 9/36 = 5 8/36
a = 5 8/36 - 3 9/36
a = 188/36 - 117/36
a = 71/36
a = 1.982
ANSWER PLEASE
WILL GIVE 50POINTS
Answer:
Step-by-step explanation:
2. meters (m), centimeter (cm), millimeters (mm)
3.
a. Perimeter of a rectangle: P = 2(l + w)
P = 2 (10 + 5)
P = 20 + 10
P = 30 m
b. Perimeter of a rectangle: P = 2(l + w)
P = 2 (10 + 8)
P = 20 + 16
P = 36 m
c. Perimeter of a rectangle: P = 2(l + w)
P = 2 (22 + 18)
P = 44 + 36
P = 80 cm
4. When you find the area of something, you are finding the amount of space a shape takes up.
Hope this helps!
a/40 = 3/10 solve the proportion.
a =12
Answer:
Since
a
b
=
c
d
,
we can use an algebraic technique, to get the value of
a
, by isolation and using the golden rule of algebra, "Balancing the equation"
a
40
=
3
10
to isolate
a
, we must eliminate
40
in the left side of the equation by multiplying it by
40
, the golden rule of algebra states that whatever you do in a side of an equation is you also must do it in the other side to keep the equation balanced.
(
40
)
a
40
=
3
10
(
40
)
40
a
40
=
(
40
)
(
3
)
10
a
=
120
10
, we can still simplify the answer giving,
i need help im bad at math
Answer:
D
Step-by-step explanation:
If we reduce [tex]\frac{15}{12}[/tex] This comes to [tex]\frac{5}{4}[/tex]. Thus D is the answer
How do i solve this im kinda confused
Answer:
A:2
B:-5
C:8
D:-147
Step-by-step explanation:
A: For this one, you can cancel out the negatives. Then just divide 14 by 7. Your final answer is 2. Final Answer : 2
B: This one you can forget about the negative for the first bit. Just divide 15 by 3 to get 5. Now the negative is only on one side of the equation so therefore we add the negative back into our answer. Final Answer : -5
C: Just divide 32 by 4 to get 8. No removal or substitution is needed for this one because both numbers are positive. Final Answer : 8
D: Multiply both numbers normally forgetting about the negative at first. 49 * 3 is 147. Now one of our numbers contain a negative so we plug back the negative into our answer. Final Answer : -147
pls help...I'm stuck
[tex]2 \sqrt{27 } - 3 \sqrt{3} + 4 \sqrt{7} + 3 \sqrt{28} [/tex]
Nancy Drew runs an ice cream shop. She is determining how many employees should work next week and at what times. She is performing which management function?
The management function being performed by Nancy according to the description is; Scheduling/Planning
Management FunctionsManagement functions simply is a collection of the five broad activities that managers perform in a bid to achieve organizational goals which includes:
Planning,Organizing,Staffing,Directing, andControllingRead more on management functions;
https://brainly.com/question/17083312
someone please help me with this
Answer:
not similar; corresponding sides are not proportional
Step-by-step explanation:
If the triangles were similar, corresponding sides would be proportional. That is, you would have ...
AX/AB = AY/AC
Here, those ratios are ...
6/24 ≠ 10/35
so, the corresponding sides are not proportional, and the triangles are not similar.
Please answer in simplified, rationalized form and don’t round
Answer:
4.359/10
Step-by-step explanation:
Find the price
of a $45 phone
case after
a 15% discount
Answer:
It would be $35
Step-by-step explanation:
hope this helps
15 percent of 45 is 6.75
45- 6.75 is 38.25
The price after a 15% discount is $38.25