Answer:
The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.
Step-by-step explanation:
Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).
However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.
We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.
[tex]x+3 > 0\\\\x > -3\\[/tex]
Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).
So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.
So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answer:
H0: u ≥ 9.5
Ha: u < 9.5
Step-by-step explanation:
The null hypothesis and the alternate hypothesis are reverse of each other.
The claim is either set as the null or alternate hypothesis
The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.
The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.
14.53 less then or greater then 16.3
Answer:
14.53 is less than 16.3
Step-by-step explanation:
7 over 6 divided by 4
Answer:
0.29
Step-by-step explanation:
I used a calculator
Which of the following is a factor of 2x2 - x-6?
O (x+2)
O (2x - 3)
o (x – 3)
O (2x + 3)
At a local college, an admissions officer wants to survey the incoming class of 500 first-year students concerning their preference of major. The officer randomly selects 100 of them to complete the survey, and finds that 45 are planning to major in liberal arts. The admissions officer uses the data to construct a 95% confidence interval for the proportion of first-year students who are planning on majoring in liberal arts. Are the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the randomness condition is not met. No, the Large Counts Condition is not met.
Answer:
No, the 10% condition is not met.
Step-by-step explanation:
got it right on edge
Answer:
c
Step-by-step explanation:
As part of a holf-marathon route, Charlie
ron 4.1 miles east then 9 miles south. How
for is he from his starting points
Answer:
He is 9.9 miles far from his starting point.
Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?
Answer:
20
Step-by-step explanation:
20 dollars plus 10% = 22
Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
Add 7 by g then divide 10 by the result write an expression
Answer:
7 = 1 = 21
Step-by-step explanation:
Answer:
10 / (7 + g)
Step-by-step explanation:
Order the angles in each triangle from smallest to largest
Answer:
<E, <F, <G
Step-by-step explanation:
The volume of a pool should be measured using which of the following units?
cubic yards
cubic feet
square feet
gallons
Answer:
Square feet
Step-by-step explanation:
Hope this helped
The angle between the lines xy=0 is
(a) 00
(b) 60°
(c) 90°
(d) 120°
Answer:
(c) 90°
Step-by-step explanation:
Given
[tex]xy = 0[/tex]
Required
The angle between the line
First, solve for x and y
[tex]xy = 0[/tex]
[tex]x = 0[/tex] or [tex]y=0[/tex]
This means that: y axis and x axis
The angle between the two axes is 90 degrees
Hence: (c) is correct
Josie baked a cake and ate .6 of it. Express this decimal as a percent and as a fraction.
Step-by-step explanation:
Hi,
To write this answer as a percent, simply divide it by 10.
6/10 is the same thing as 60%.
As a fraction, it's 6/10.
As a percent it's 60%
I hope this helps :)
Consider the equation below.
Determine which equation has the same solutions as the given equation.
Answer:
A) (x - 5)² = 36
Step-by-step explanation:
x² - 10x - 11 = 0
A) CORRECT
(x - 5)² = 36
x² - 10x + 25 = 36
x² - 10x + 25 - 36 = 0
x² - 10x - 11 = 0
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Hello!
We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.
We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.
According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.
So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.
Hope this helps!
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
Find out more information about Surface area of square pyramid here
https://brainly.com/question/12400672
#SPJ2
I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP
-giving brainlist
Answer:
1. -x+y
2. 3a -4b
3. 5g-3y+8
4.4g-4w
5.3x-4
6.1+2a
7. c
8. 6-3x-4y
9. -5h-3+3f
10. 0
b. simplify 2(x+3) +2(2x+7) to get
6x+20
c. 12x +6
srry for the wait :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A1) 4x-5x+3y-2y
=-x+y
=y-x
2) 2a-3b-b+a
=2a+a-3b-b
=3a-4b
3) 6g-g+8-3y
=5g-3y+8
4) 3g+g-3w-w
=4g-4w
5) 4x+3-x-7
=4x-x+3-7
=3x-4
6) 4t+1-4t+2a
=4t-4t+1-2a
=1-2a
7) 6c+2+2c-2-7c
=8c-7c
8) 6-2x-5y-x+y
=6-3x-5y+y
=6-3x-4y
9)4h+3-h+3f-9h-5+h-1
=-6h-3+3f
=3f-6h-3
10) 1-x+y-2x-2y-1+3x+y
=0
B) The perimeter
= (2x+7)2+(x+3)2
=4x+14+2x+6
=6x+20
C) The perimeter
=3x+3+3x+1+x+2+x+(3x+3-x-2)+(3x+1-x)
=3x+3+3x+1+x+2+x+3x+3-x-2+3x+1-x
=12x+8
A population numbers 10,000 organisms initially and decreases by 4.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a b where
P=
Answer:
[tex]y = 10000 * 0.959^t[/tex]
Step-by-step explanation:
Given
[tex]a = 10000[/tex]
[tex]r = 4.1\%[/tex]
Required
Express as an exponential function [tex]y =ab^t[/tex]
First, we calculate the value of b;
Since the population decrease, then
[tex]b = 1 - r[/tex] --- This represents decrement of decay factor
Substitute [tex]r = 4.1\%[/tex]
[tex]b = 1- 4.1\%[/tex]
[tex]b = 0.959[/tex]
So:
[tex]y =ab^t[/tex] becomes
[tex]y = 10000 * 0.959^t[/tex]
Evaluate x/y when x=32 and y=4.
Answer:
x = 32
y = 4
x/y = 32/4 = 8
Hope it helps!
If 1/4 of a pound cost three dollars how much is 1 pound
Answer:
1/4=3, 1/4*4= 1 and since 1/4 is $3 just do 1/4:$3+1/4:$3+1/4:$3+1/4:$3 which is $12
Step-by-step explanation:
Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
24 [tex]\frac {3} {8}[/tex] m
Step-by-step explanation:
[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]
[tex]\frac{15x13}{2x4}[/tex]
Simplify
[tex]\frac{195}{8}[/tex]
Answer: 24 [tex]\frac{3}{8}[/tex] m
The area of the grass seed Jerome needs to cover is A = 34.375 m²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the grass seed needs to cover be A
Now , the area of the lawn L = ( 11 3/4 ) x 5 m²
The area of the lawn L = 58.75 m²
where the length of the pool l= ( 7 1/2 ) m = 7.5 m
The width of the pool is w = ( 3 1/4 ) m = 3.25 m
Now , Area of Rectangle = Length x Width
On simplifying , we get
Area of the pool P = 7.5 x 3.25 = 24.375 m²
Now , the area of the grass seed needs to cover A = L - P
The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²
The area of the grass seed needs to cover A = 34.375 m²
Therefore , the value of A is 34.375 m²
Hence , the area of the grass seed is 34.375 m²
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ3
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
in the diagram, AB=18. find AC and BC
Answer:
b
Step-by-step explanation:
In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.
The hypotenuse is AB and is 18.
The short leg is BC and is 9.
The only choice with BC = 9 is b.
Answer: b
4. Below are histograms displaying the values taken by three sample statistics in
several hundred samples from the same population. Each histogram has the
same scale and the true value of the population parameter is marked by an
arrow on each histogram. Which statistic is the best estimator of the parameter?
Answer:
(B) Statistic B because A and B are unbiased but B has lower variability.
Step-by-step explanation:
The correct answer is (B). The best statistic is unbiased, with the lowest variability.
What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm
You are standing on the ground (height of 0) and kick a ball across the park with an initial velocity of 64 feet per second. Using the vertical motion model, calculate each of the following: Don't forget units
a. What is the highest height the ball reaches?
b. When will the ball be at the highest height?
c. How long is the ball in the air?
I need this question to be answered it's 30 points and please no links just leave the answer
You have 28 meters of fencing to make a rectangular garden.What different size rectangular gardens could you make with this fencing
Answer: Do you have a pic
Step-by-step explanation:
answer and show proof for branliest
Answer:
-2(4 - 1)
Step-by-step explanation:
Choice A: ❌
9-(-17)
9 + 17 = 26
Choice B: ❌
(4 - 16)/(-2)
(-12)/(-2)
6
Choice C: ✅
-2(4 - 1)
-2(3)
-6
Choice D: ❌
3 x (-2) x (-1)
-6 x (-1)
6
Answer:
- 2(4 - 1)
Step-by-step explanation:
9 - (- 17)
9 + 17 = 26
[tex]\frac{4 - 16}{-2}[/tex] = 12
- 2(4 - 1)
- 2(3) = - 6
3 × - 2 × - 1 = 6
what are 2 challenges that Will Smith faced
Answer:
Will Smiths wife cheated on him!
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Answer:
It is H
Step-by-step explanation: