To solve the trigonometric inequality sin?(x) -0.85, Carl graphed the equations y=sin(x) and y=-0.85. Shelly, on the other
hand, took the cube root of both sides of the inequality so that it became sin(x) = -0.85, and she then graphed the equations
y = sin(x) and y -0.85. Which of the following statements is true regarding the points of intersection of Carl's graph and
Shelly's graph?
A The points of intersection of Carl's graph have different x-coordinates than the points of intersection of Shelly's graph and
different y-coordinates.
B The points of intersection of Carl's graph have different x-coordinates than the points of intersection of Shelly's graph but the
same y-coordinates.
C The points of intersection of Carl's graph have the same x-coordinates as the points of intersection of Shelly's graph but
different y-coordinates.
D The points of intersection of Carl's graph have the same x-coordinates as the points of intersection of Shelly's graph and the
same y-coordinates.
Answers
Answer: C
Step-by-step explanation:
The points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
Trigonometric expressions can be represented using inequalities
The true statement is (c) the points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
The inequality is given as:
[tex]\mathbf{sin^3(x) < -0.85}[/tex]
The steps Carl took will give the following coordinates (x, y^3)
The steps Shelly took will give the following coordinates (x, y)
This means that, their results will have the same x-coordinates but different y-coordinates.
Hence, the true option is (c)
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Related Questions
|3x−2|=19 please help quick thanks
Answers
Answer:
x=7,-17/3
Step-by-step explanation:
The answer for X=7 here is the equation
[3x5-2]=19
Mr. Inderhees wrote an equation and the first step of his solution process, as shown.
15 = −5 +4x
20 = 4x
Which math operation did Mr. Inderhees apply in his first step?
A. He divided 15 by 5.
B. He added 5 to each side of the equation.
C. He divided each side of the equation by 5.
D. He subtracted 5 from each side of the equation.
Answers
Answer:
B. He added 5 to each side of the equation.
Step-by-step explanation:
B. He added 5 to each side of the equation.
Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all
the toy cars?
Answers
Answer:
3:10
Step-by-step explanation:
The question is asking the ratio of red cars to all the cars.
There are 3 red cars, and the total of the cars (all the cars) is 10.
The ratio is asking red to all.
So it is 3:10.
We want to get the ratio of red toy cars to the total number of red cars, we will get: 3:10
Here we know that:
There are 2 black cars, 3 red cars, and 5 white cars.
We want to get the ratio (remember that the ratio a to b is a:b) of red toy cars to all the toy cars.
First, we can see that there are 3 red toy cars.
And the total number of toy cars is:
2 + 3 + 5 = 10
So the ratio is just 3:10
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A line passes through the point (4, -1) and has a slope of -5/4
Answers
Answer:
y = -5/4x+4
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b
where m is the slope and b is the y intercept
y = -5/4x +b
Substitute the point into the equation
-1 = -5/4(4) +b
-1 =-5+b
Add 5 to each side
-1+5 = -5+5+b
4 = b
y = -5/4x+4
Answer:
the answer is D
Step-by-step explanation:
give the equation of the line goinng through (4, 6) and parallel to the line 2y-6x=4
Answers
Answer:
y = 3x-6
Step-by-step explanation:
First we need to find the slope of the line
2y-6x=4
Solve for y
Add 6x to each side
2y-6x+6x=4+6x
2y = 6x+4
Divide each side by 2
2y/2 =6x/2 +4/2
y = 3x +2
The slope is 3
We want a line parallel, so it will have the same slope
We have a slope and a point
y = 3m+b
Substitute in the point
6 = 3(4)+b
6 =12+b
Subtract 12 from each side
6-12 = 12-12+b
-6 =b
y = 3x-6
Answer:
y = 3x - 6
Step-by-step explanation:
2y = 6x + 4
y = 3x + 2
Slope = 3
y = 3x + c
6 = 3(4) + c
c = 6 - 12
c = -6
y = 3x - 6
What’s the value of x in degrees
Answers
Answer:
92⁰
Step-by-step explanation:
a = 35⁰ ( vertically opposite )
b = 53⁰ (vertically opposite )
a + b + x = 180⁰ (Angle sum property of triangle)
35⁰ + 53⁰ + x = 180⁰
x = 180⁰ - 88⁰
x = 92⁰
Answer:
[tex]x = 97 \: \: degrees[/tex]
Step-by-step explanation:
[tex]a = 35 \\ b = 53 \\ (vertically \: \: opposite \: \: angles)[/tex]
[tex]35 + 53 + x = 180 \\ 86 + x = 180 \\ x = 180 - 83 \\ x =9 7 \: \: degrees[/tex]
sum of the angles in a triangle is 180 degrees.
hope this helps
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f(x) = 3(x + 5)2 - 10
Answers
Answer: f(x)=3x2+30x+65
Step-by-step explanation:
F(x)=3(x+5)2-10
Using bodmas
B= bracket
O=of
D= division
M= multiplication
A= Addition
S= subtraction
So we go with the bracket
(X+5)2
=(x+5)(x+5)
Open the bracket
=x2+5x+5x+25
=x2+10x+15
Substitute for (x+5)2
F(x)=3(x2+10x+25)-10
Open the bracket
F(x)= 3x2+30x+75-10
F(x)= 3x2+30x+65
PROBABILITY QUESTIONS AGAIN!!!
Plz help I will mark brainliest to the best/correct answers!
Answers
For every 110 phones, 4 have defects, There's 5 sets of 110 in 550, so multiply 5 by 4.
5 × 4 = 20
Answer:20 out of the 550 may have defects.
Hope this helps :)
How many integers are there in the solution set of the inequality |x−2000|+|x| ≤9999
Answers
Answer:
9999
Step-by-step explanation:
Find the greatest value of x and the least value of x that satisfy the equation:
2x-2000 = 9999 (Yields the greatest solution)
2x + 2000 = -9999 (Yields the least solution)
Solve both equations and you get:
3999.5 (Greatest solution)
-5999.5 (Least solution)
That means the range of integer solutions is between 3999 and -5999 (inclusive). That means there are 9999 integral solutions
Answer:
20,000 integers
Step-by-step explanation:
By triangular inequality,
|x - 2000 + x| ≤ |x−2000|+|x|
|x−2000|+|x| ≤ 9999
|x - 2000 + x| ≤ 9999
|2x - 2000| ≤ 9999
|x - 10000| ≤ 4999.5
x - 10000 ≤ 4999.5
x ≤ 4999.5
x ≤ 14999.5
-(x - 10000) ≤ 4999.5
-4999.5 ≤ x - 10000
-5000.5 ≤ x
All solutions:
-5000.5 ≤ x ≤ 14999.5
No. of inyegers:
14999 - (-5000) + 1
20,000 integers
Which is a shot-term consequence of making a late payment on your bill ?
A-it will be harder to buy a house because it affects your credit history
B-there will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D-the bank will charge a fee for having a negative balance
Answers
Explanation:
Answer:
B
Step-by-step explanation:
Mr. Wilson is putting together information package for his students. Each package has 5 sheets of paper and is held together with 2 Staples. What ordered pair represents how many staples (x) and sheets of paper (y) Mr Wilson needs for 13 packets?
Answers
Answer:
(26,65)
Step-by-step explanation:
We know that each package has 5 sheets of paper and 2 staples. So, to know how many sheets of paper and staples that will be used in 13 packages, we just need to multiply each quantity of material used by 13.
So, we have that:
Total sheets of paper = 13 * 5 = 65
Total staples = 13 * 2 = 26
So the ordered pair (x,y), where x is staples and y is sheets of paper is:
(26,65)
Answer:
The ordered pair is (26, 65).
Step-by-step explanation:
From the given information, a package has 5 sheets of paper and is held together with 2 staples.
13 packets contains 13 packages, so that:
Number of sheet of paper required = 13 × 5
= 65
Number of staples required = 13 × 2
= 26
Therefore, the ordered pair is; staples (26) and sheets of paper (65) i.e (26, 65).
A rectangular pyramid has a volume of 1,512in3, a height of 12 in and a base length in f 21 in. What is the width of it’s base?
Answers
Answer:
18 inches.
Step-by-step explanation:
Hope this helps! Would you like an explanation?
Can someone please help me with this (thank you)
Answers
Answer:
D. ( 3.6 , 2.2)
Step-by-step explanation:
Given
x + y = 5.8....equation 1
y = 2x - 5 ......equation 2
Putting equation 2 in equation 1
x + 2x - 5 = 5.8
3x = 5.8 + 5
3x = 10.8
Therefore x = 3.6
Now
y = 2 * 3.6 - 5
= 7.2 - 5
= 2.2
Hope it will help you.
Answer:
B
Step-by-step explanation:
Helpppppppp ASAPPPP PLZZZZZZ
Answers
Describe one method to calculating the area of the shaded region.
Answers
Answer:
Fine the area of the square, then the area of the circle. Subtract the area of the circle from the area of the square and you will get the remaining shaded area.
The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? It must have only two factors. It must have fewer than three factors. It must have exactly three factors. It must have more than three factors.
Answers
Answer:
Step-by-step explanation:
⇒49=7×7 =1 × 49
Factors of 49 = 1,7,49
⇒It is given that ,98 is a Multiple of 49.
98 = 49 × 2
So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.
→Factors of 98 are =1,2,7,49,98
the length of a rectangle is six times it’s width. If the perimeter of the rectangle is 112 yards, find it’s length and width.
Answers
The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.
Step-by-step explanation:
The given is,
The perimeter of the rectangle is 112 yards
The length of a rectangle is six times it's width
Step:1
Let, p - Perimeter of the rectangle
l - Length of the rectangle
w - Width of the rectangle
Step:2
Formula for perimeter of rectangle,
[tex]Perimeter, p = 2(l+w)[/tex]............................(1)
From given,
p = 112 yards
l = 6w ( ∵ From given)
w = w
Substitute the values,
112 = 2 ( 6w + w )
112 = 2 ( 7w )
112 = 14w
w = 8 yards
From the w value, l becomes
l = 6w
l = 6 × 8
l = 48 yards
Result:
The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.
In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.
A. Explain why this is not a valid conclusion
B. Suggest a better method of determining what subject is most popular
Answers
Answer:
1) biased sample
2) random sampling
Step-by-step explanation:
Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.
Also, since it's a math class there will be a bias.
Better method would be randomly selecting students from the entire school students list and take their feedback
which of the following is equivalent to 3(2x-5)-4(x-3)=7
Answers
Answer:
A
Step-by-step explanation:
When we distribute, we get:
6x - 15 - 4x + 12 = 7
If we combine the like terms, we get:
2x - 3 = 7, which is A in your case. Hope this helps.
Joey's cleaning service charges $50 per week to clean a home. Amy's cleaning service charges $50 per week , plus $25 for cleaning supplies.
which equation can be used to express the amount that Amy's cleaning service charges?
A y=50x
B y=50x-25
C y=1/50x
D y=50x + 25
Answers
Answer:
D y=50x + 25
Step-by-step explanation:
The number of weeks can vary, so it is placed in front of a variable. The cleaning supplies cost does not, so it does not have a variable, but instead, it is a constant.
Answer:
D
Step-by-step explanation:
y = mx + b is the equation, where m = cost per week and b = cleaning supply cost (constant)
That means the equation is y = 50x + 25
A wheelbarrow weighs 55 pounds. It can carry a load up to 1/2 ton. How many pounds does the wheelbarrow weigh when it is filled to capacity?
Answers
Answer:
1055 lbs.
Step-by-step explanation:
Since 1 ton is 2000 pounds, half a ton is 1000 pounds. The wheelbarrow weights 55 pounds in itself, so the total weight will be 1000 + 55 = 1055 lbs.
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Find the areas of the trapezoid.
Answers
Answer:
10.5
Step-by-step explanation:
Area of a triangle=(½)(b)(h)
=(½)(3)(3)
=4.5
Area of rectangle=l×w
=2×3
=6
4.5+6=10.5
(hope this helps!!)
Harry picks 133 apples every 7 minutes how many apples would he in 273 minutes
Answers
explanation:
273 minutes / 7 minutes = 39 minutes
39 x 133 = 5187
A pharmacist need to fill an order for a patient weighing 90.0 kg. The patient was prescribed 15 mg of a drug per
kg of body weight (15 mg = 1 kg) How many milligrams (mg) will the pharmacist need to order for the
prescription for the 90.0 kg patient?
Answers
Answer:
1,350 mg.
Step-by-step explanation:
Multiply the amount of mg per kg by the number of kg to get the total amount of mg needed by the patient.
1350 milligrams pharmacist needs to fill the order for that patient.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that,
The patient needs the drug according to his weight by multiplying of 15
Since the weight of the patient is 90 kg
So,
Amount of drug needed = 15 × 90 = 1350 miligram.
Hence "1350 milligrams pharmacist needs to fill the order for that patient".
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ANSWER!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
Total bags = 8
Candies in each bag = 7 candies
So Now
Total candies in the package = 7*8 = 56
Question 1
4 pts
Which set of line segments could create a right triangle? (4 points)
O 15,30,35
O 15,36,39
O 15, 20, 29
O 5,15,30
Answers
Answer:
(B)15,36,39
Step-by-step explanation:
To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.
By Pythagoras Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
In 15,30,35
[tex]35^2\neq 15^2+30^2\\1225\neq 1125[/tex]
In 15,36,39
[tex]39^2=36^2+15^2\\1521=1521[/tex]
In 15, 20, 29
[tex]29^2\neq 15^2+20^2\\841\neq 625[/tex]
In 5,15,30
[tex]30^2\neq 15^2+5^2\\900\neq 250[/tex]
We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.
What happens to the value of f(x) = log4x as x approaches 0 from the right?
Answers
Answer:f(x) approaches negative infinity
Step-by-step explanation:
N/A
Answer:
the 1st one is a (f(x) approaches negative infinity)
the 2nd one is c (f(x) approaches infinity)
Step-by-step explanation:
Describe what Pi is and explain how it is used in finding the circumference of a circle
Answers
Answer:
Sample response: Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.
Step-by-step explanation:
4) -8 – 3a = 46 whoever has best answer gets brainliest
Answers
Answer:
A= -18
Step-by-step explanation:
-8-3(-18)= 46= -18
Answer:
a=-18
Step-by-step explanation:
Let's break this down step by step.
-8-3a=46
Since 3a has a variable, a, we want to get it by itself. So the first step is to do the inverse operation and add 8 on both sides. That leaves this equation:
-3a=54
The 3a is -3a because of the subtraction sign in front. Now we divide on both sides because we want the variable, a, to be by itself. That leaves this simplified expression.
a=-18.
Now, let's work it out in context of the problem.
-8-3x-18=46
3x-18 is -54, and -8-(-54), it would become 46.
A boy owns 7 pairs of pants, 3 shirts, 2 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?
He can wear different outfits.
Answers
Answer:
252 7 x 3 x 2
Step-by-step explanation:
The boy can wear 252 different outfits to school.
To calculate the number of different outfits, you can multiply the number of choices for each clothing item.
In this case, he has 7 choices of pants, 3 choices of shirts, 2 choices of ties, and 6 choices of jackets.
To find the total number of outfits, simply multiply these choices together: 7 pants x 3 shirts x 2 ties x 6 jackets = 252 different outfits.
This calculation works because for each choice of one item of clothing, there are still all the other choices available for the remaining items.
So, for every pair of pants, he can choose from 3 different shirts, and for each shirt-pants combination, there are 2 tie options, and so on.
Multiplying these choices together gives us the total number of outfits he can create while wearing one of each item.
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