Which two expressions , added together , form a function with the following characteristics?
-It’s range is all real numbers
- it’s graph has exactly two x-intercepts
Answers
Answer:
Options (B) and (C)
Step-by-step explanation:
We have to form a function which has following characteristics,
1). Its range is all real numbers
Which means graph of the given function starts from negative side of the y-axis (-∞) and goes towards positive direction of the y-axis (+∞).
It's a typical characteristic of odd degree polynomial/function.
2). The graph has exactly two x-intercepts.
Which means when we put f(x) = 0, we get exactly two values of x.
Therefore, function will be, f(x) = x³ + x²
Range of the function → (-∞, ∞) Or a set of all real numbers.
x-intercepts → f(x) = x³ + x² = 0
x²(x + 1) = 0
x = -1, 0
Therefore, Options (B) and (C) will be the answer.
Related Questions
Factor 9x2 - 4y2 Group of answer choices
(3x - 2y) (3x + 2y )
(3x - 2y) (3x - 2y )
(x - 2y) (x + 2y )
(3x - y) (3x + y )
Answers
Answer:
(3x-2y)(3x+2y)
Step-by-step explanation:
Proof:
(3x-2y)(3x+2y)-use FOIL method (First, Outer, Inner, Last)
3x*3x+2y3x-2y3x-2y*2y
9x^2+0-4y^2
9x^2-4y^2
The answer is (3x-2y)(3x+2y).
A maritime flag is shown. What is the area of the shaded part of the flag? Explain
or show your reasoning.
8 in
6 in
6 in
4 in
Answers
Answer:
[tex]Area = 72in^2[/tex]
Step-by-step explanation:
Your question is incomplete without an attachment (See attachment)
Required
Determine the area of the shaded part
From the attachment;
Assume that the shaded portion is closed to the right;
Calculate the Area:
[tex]Area_1 = Length * Width[/tex]
[tex]Area_2 = 8in * (6in + 6in)[/tex]
[tex]Area_2 = 8in * 12in[/tex]
[tex]Area_1 = 96in^2[/tex]
Next;
Calculate the Area of the imaginary triangle (on the right)
[tex]Area_2 = \frac{1}{2} * base * height[/tex]
[tex]Area_2 = \frac{1}{2} * (6in + 6in) * 4in[/tex]
[tex]Area_2 = \frac{1}{2} * 12in * 4in[/tex]
[tex]Area_2 = \frac{1}{2} * 48in^2[/tex]
[tex]Area_2 = 24in^2[/tex]
Lastly, calculate the Area of the Shaded Part
[tex]Area = Area_1 - Area_2[/tex]
[tex]Area = 96in^2 - 24in^2[/tex]
[tex]Area = 72in^2[/tex]
Hence,
The area of the shaded part is 72in²
What simplified common fraction is equivalent to $0.0\overline{57}$?
Answers
Answer:
0
Step-by-step explanation:
0/57 is going to be 0 since you have 0 out of 57 pizzas.
Answer:
90/330
Step-by-step explanation:
Aops Question
On a board measuring 1x100, each square is numbered from
1 to 100. Three colors are used to paint the squares from left
to right. The following pattern is repeated: one blue square,
two red squares, three green squares, one blue, two red,
three green and so on.
What is the highest numbered square that is painted blue?
SUV
Answers
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern.
What is the highest numbered square that is painted blue?
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.
Hence, the highest numbered square that is painted blue is 97
Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.
The sequence is given as:
[tex]Blue = 1[/tex]
[tex]Red = 2[/tex]
[tex]Green = 3[/tex]
The number of squares is given as:
[tex]n = 100[/tex]
First, we calculate the number of complete iteration of the sequence of squares.
[tex]Total = Blue + Red + Green[/tex]
[tex]Total = 1+2+3 =6[/tex]
So, the complete iteration (k) is:
[tex]k = \frac{n}{Total}[/tex]
[tex]k = \frac{100}{6}[/tex]
[tex]k = 16.67[/tex]
Remove decimal (do not approximate)
[tex]k = 16[/tex]
Next, calculate the position of the last element in the iteration.
[tex]Position = k \times Total[/tex]
[tex]Position = 16 \times 6[/tex]
[tex]Position = 96[/tex]
The blue square is the first on each iteration.
So, the highest numbered blue square is:
[tex]Highest = Position + Blue[/tex]
[tex]Highest = 96 + 1[/tex]
[tex]Highest = 97[/tex]
Hence, the highest numbered square that is painted blue is 97.
Read more about patterns at:
https://brainly.com/question/13382968
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answers
Answer:
54 cm^2.
Step-by-step explanation:
Area = 1/2 * altitude * base
= 1/2 * 6 * 18
= 54 cm^2.
write a real world problem for the following experssions. m+9
Answers
Answer:
A number increased by 9.
Step-by-step explanation:
A number= can be denoted by any letter.
increased= +
by 9= 9
Hope this helps ;) ❤❤❤
Solve 2x + 2 > 10
A. x < 6
B. x > 4
C. x > 6
D. x < 4
Answers
Answer:
2x + 2 > 10
2x > 10 - 2
2x > 8
x > 8
B. x > 4.
Answer:
B. x>4
Step-by-step explanation:
2x + 2 > 10
In order to solve this inequality, we must isolate the variable, x , on one side of the inequality.
2 is being added to 2x. The inverse of addition is subtraction. Subtract 2 from both sides of the inequality.
2x+ (2-2) > 10-2
2x > 10-2
2x > 8
x is being multiplied by 2. The invers of multiplication is division. Divide both sides of the inequality by 2.
2x/2 > 8/2
x > 8/2
x > 4
The solution to the inequality 2x+2 > 10 is x > 4 and the correct answer is B.
An integer between 7.2 and 8.8.
Answers
Answer:
1
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
integer has no decimal point.
The 2 integer seemingly that is present is 7 and 8.
HOWEVER, 7 is less than 7.2, so it is not the answer
7.2<8<8.8
So it fits in the range
ANSWER IS 8Hope this helps!! :)
Please let me know if you have any question
What’s the awnser to this please
Answers
Answer:
BC=6
Step-by-step explanation:
The perimeter is the sum of all the side lengths.
Thus, add up all the sides.
And we already know the perimeter is 64. Thus:
[tex](3z)+(10)+(z-1)+(2z+3)+(10)=64[/tex]
Combine like terms and add the numbers:
[tex]6z+22=64[/tex]
Subtract 22 from both sides:
[tex]6z=42[/tex]
Divide by 6:
[tex]z=7[/tex]
So, z is 7.
BC is z-1. Therefore:
[tex]BC=z-1\\BC=7-1=6[/tex]
So, BC is 6.
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error seven percentage points; confidence level 90%; from a prior study, is estimated by the decimal equivalent of 54%
n=_____ (round to the nearest integer.)
Answers
Answer:
137
Step-by-step explanation:
Given the following :
Margin of Error (E) = 7% = 0.07
Confidence level = 90% = 0.9
Prior study (p) = 54% = 0.54
Using the sample size formula:
([Z/E]^2) × p × (1 - p)
(1 - p) = 1 - 0.54 = 0.46
Z score at 90% confidence interval. = 1.645
[(1.645 / 0.07)^2] * 0.54 * 0.46
(23.5^2) * 0.54 * 0.46
552.25 * 0.54 * 0.46
= 137.1789
= 137
Sample size = 137
A pre-paid cell phone company charges $10.4 as a monthly access fee and $0.18 per minute of calling time. Express the monthly cost C in terms of minutes of call time. What will the monthly cost be if you make 315 minutes of calls this month?
Answers
Answer:$67.10
Step-by-step explanation:
Using the first statement we can generate the equation c= 0.18m + 10.4 where c is the cost and m is the number of minutes. So if you make 315 minutes of call then input that for m and solve for c.
c= 0.18(315) + 10.4
c= 67.10
Find the conjugate of 9 - (-4i).
Answers
Answer:
9 + (-4i) = 9 - 4i
Which number below is not a rational number? *
325
-45
0
Square root of 3
Answers
Can someone help me find the angle measurements
Answers
Answer:
12. 50 degrres
13. 90 degrees
14. 40 degrees
15. 50 degrees
16. 130 degrees
17. 90 degrees
Step-by-step explanation:
12. Angle UAY is equal to 50 degrees as it is stated in the graph
13. Angle YAZ is 90 degrees, as there is a square at the angle, meaning that the angle is a right angle.
14. Angle ZAX + Angle UAY + Angle YAZ = 180, as it is supplementary.
We know Angle UAY and Angle YAZ, so we can find Angle ZAX
Angle ZAX = 180 - UAY - YAZ = 180 - 50 - 90 = 40 degrees
15. Angle XAW = 50 degrees, as it is vertical angles with Angle UAY.
16. Angle WAU = Angle YAX = Angle YAZ + Angle ZAX = 90 + 40 = 130 degrees
17. Angle ZAW and Angle YAZ are supplementary, so they add up to 180 degrees.
Angle YAZ = 90 degrees, so Angle ZAW must also equal 90 degrees.
9. 50° (given)
10. 90° (90° angle is shown)
11. 40° (the line WAZ must equal 180° so 90° + 50° = 140 -> 180° - 140° = 40°)
12. 50° (same explanation as #11)
13. 130° (if the line WAZ must be 180°, then 180°- 50° = 130°)
14. 90° (right angle)
please mark as brainest if this hopefully helps!
Find the volume of a sphere with a diameter of 3 cm.
Answers
Answer:
9/2π
=14.13716694
Step-by-step explanation:
The equation of the volume of the sphere:
V=4/3πr^3
If the diameter is 3cm, the radius is divided by 2, so 1.5cm.
Plug that in, 4/3π1.5^3
Use a calculator:
9/2π
=14.13716694
[tex]14,14~cm^{3}[/tex]
Step-by-step explanation:d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm
[tex]V=\frac{4}{3}\pi*r^{3}\\\\=\frac{4}{3}*\frac{22}{7}*3.375cm^{3}\\ \\=\frac{4*22*3.375}{21}cm^{3}\\ \\=\frac{297}{21}cm^{3}\\ \\[/tex]
≈ [tex]14,14~cm^{3}[/tex]
royal paid 48 dollars for 12 cartons of orange juice. wha is the unit rate per carton of orange juice that royal paid
Answers
Answer:
$4
Step-by-step explanation:
If 1 carton is $4 than 12 cartons would be 48 dollars because 12*4 is 48. So each carton is $4. Please give brainliest Thanks
add the fractions and simplify the answer:2 1/4+5 5/6+3 2/3
Answers
If HFG is complementary to ACB, then
A. ACB is complementary to DFH
B. ACBEZDFH
C. ACB is supplementary to DFH
D. ACBZHFG
Mark this and return
Answers
Ms. Sanders invested in a stock. During the first year, the value of the stock tripled. The next year, the value of the stock decreased by $600. Write an expression that can be used to represent the value of her stock at the end of the second year. Be sure to indicate what the variable in your expression represents. (please help I am lost)
Answers
Answer:
Value in $= 3x -600
Step-by-step explanation:
Let the value of the stock before investment= x
At the first year , the value tripled
Value after first year=3x
The second year , the stock reduces by $600.
So
The value of the stock after the second year
Value in $= 3x -600
Use the graph below to determine the number of solutions the system has.
Answers
Answer:
The system has 4 solutions
Step-by-step explanation:
When the two lines meet at a point it means that the point is a solution, in this case the lines meet 4 times.
Prove that \P(A) \cup \P(B) \subseteq \P(A \cup B) and find a counter-example to show that we don't always have equality
Answers
Answer:
P(A) ∪ P(B) ⊆ P(A ∪ B) can be proved when [tex]X[/tex] ∈ P ( A U B )
Step-by-step explanation:
To Prove that P(A) ∪ P(B) ⊆ P(A ∪ B) is attached below and also a counter example to prove that we do not always get an equality is attached below as well
What are all the terms in the expression 4mn + m + 5 and which is a constant
Answers
Answer:
m and n are variables whereas 4 and 5 are constant terms or coefficient.
Step-by-step explanation:
hope it will help ^_^
Answer:
Below
Step-by-step explanation:
● 4 and 5 are constants since their values don't change.
● m and n are variables since they can take any value.
Shawna reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation.
Shawna recalls that correlation does not imply causation. In this example, Shawna sees that increasing the number of cars per household would not cause members of her community to purchase health insurance.
Identify the lurking variable that is causing an increase in both the number of cars owned and the average number of citizens with health insurance.
A) Average income per household
B) The number of cars on the road
C) The number of citizens in the United States
D) Average mileage per vehicle
Answers
Answer:
The correct answer is:
A) Average income per household
Step-by-step explanation:
Correlation of variables is the statistical relationship between two variables. A correlation is positive if both variables move in the same direction (e.g both are increasing, or both are decreasing), and negative if the variables move in different directions - as one variable increases, the other decreases.
Correlation does not imply causation: This means that one can not legitimately associate a cause-and-effect relationship between the two variables, especially when there is a third variable (lurking) that has an effect on the outcomes that is not included as an explanatory or response variable.
In this example, it cannot be legitimately shown that increasing the number of cars per household would cause members of the community members to purchase health insurance, but when we bring in the lurking variable, which is the increase in average income per household, we can see that this possibility might cause more people to buy more health insurance even after they have purchased cars, because they have more money to spend.
m+q+ p; use m = 2, p = 1, and q = 3
Answers
2 + 1 + 3
3 + 3
6
The perimeter of a rectangle is 90 cm the length is 27 cm what is the width of the rectangle
Answers
Answer:
width = 18 cm
Step-by-step explanation:
perimeter of rectangle = 2(length + width)
then:
90 = 2(27+w)
90/2 = 27+w
w = width
45 = 27+w
45 - 27 = w
18 = w
Check:
90 = 2(27+18)
90 =2*45 =
Which of these is not a technique that can be used to randomly assign students to a treatment group?
Answers
Answer:
A. Winning an election for class president.
Step-by-step explanation:
It would not be fair because in an election you have to vote and having people vote into what group to be in, would not be randomly assigned and it would not be fair.
Answer:
A
Step-by-step explanation:
Did it already
Find the value of x. Round you answer to the nearest tenth.
20
18
X
Answers
Answer:
21.9
Step-by-step explanation:
The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:
x^2 = 9^2 +20^2 = 81 +400
x = √481 ≈ 21.932
The length x is about 21.9 units.
Pablo drew a square that had a side of length of 6 inches. What is the perimeter of pablos square
Answers
Answer:
24 inches
Step-by-step explanation:
Because we know that Pablo drew a square, we can correctly assume that all sides have equal lengths. There are four sides to a square, so taking the number 6, 4 times (6*4) gives us 24!
Suppose your car averages 38 miles per gallon on the high-
way if your average speed is 55 miles per hour, and it aver-
ages 32 miles per gallon on the highway if your average speed
is 70 miles per hour.
a. What is the driving time for a 2000-mile trip if you drive
at an average speed of 55 miles per hour? What is the driving
time at 70 miles per hour?
b. Assume a gasoline price of $2.55 per gallon. What is the
gasoline cost for a 2000-mile trip if you drive at an average
speed of 55 miles per hour? What is the gasoline cost at
70 miles per hour?
Some one please help me on these questions! They’re getting a little harder now!!
Answers
Answer:
a. around 36.36 hours; around 28.57 hours
b. $134.21; $159.38
Step-by-step explanation:
a. The driving time at 70 miles per hour is 28.57 hours
b The gasoline cost for this trip would be $159.38.
How to calculate the costa. At an average speed of 55 miles per hour:
Time = 2000 miles / 55 miles per hour = 36.36 hours
At an average speed of 70 miles per hour:
Time = 2000 miles / 70 miles per hour = 28.57 hours
b. At an average speed of 55 miles per hour:
The car averages 38 miles per gallon on the highway.
Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 38 miles per gallon = 52.63 gallons
The gasoline cost for this trip would be: 52.63 gallons * $2.55 per gallon = $134.13.
At an average speed of 70 miles per hour:
The car averages 32 miles per gallon on the highway.
Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 32 miles per gallon = 62.50 gallons.
The gasoline cost for this trip would be: 62.50 gallons * $2.55 per gallon
= $159.38.
Learn more about cost
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In the diagram below, AngleDAB and AngleDAC are adjacent angles. Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees. If mAngleDAC = 25°, what is mAngleDAB in degrees? What is Angle BAC in degrees? Which defines a circle?
Answers
Answer:
∠DAB = 80°
∠BAC = 105°
Step-by-step explanation:
You are given ...
∠DAC = 25° = (x -20)°
Adding 20°, we have ...
x° = 45°
Then the measures of the other angles are ...
∠DAB = (2x -10)° = 2(45°) -10°
∠DAB = 80°
and
∠BAC = ∠DAB +∠DAC = 80° +25°
∠BAC = 105°
_____
Nothing in this problem statement defines a circle.