Answers
Answer:
[tex]F(x)=\left \{ {{-\frac{1}{2}+1, x<0 } \atop {2x-2, x\geq0}} \right.[/tex]
Step-by-step explanation:
There are 2 linear equations, one with an open circle and one with a closed one. Depending on where the circle is, that will tell you your start. Both circles start at 0 on the graph. The open circle means that the first equation will be x < 0. The second equation has a closed circle so it will be [tex]x\geq 0[/tex] because the linear equation is increasing positively.
Now you need to the start point of both equations.
[tex]x<0[/tex] start point is 1 on the y-axis
[tex]x\geq 0[/tex] start point is 2 on the y-axis
Now you have to find the slope for the two equations
[tex]x<0[/tex] the equation goes up 1 and and over 2
[tex]x\geq 0[/tex] the equation goes up 2 and over 1
Now put together the equations
[tex]x<0[/tex] [tex]\frac{-1}{2} + 1[/tex]
[tex]x\geq 0[/tex] [tex]2x - 2[/tex]
Related Questions
A suit case is a rectangular prism whose dimensions are 1 and 1/2 feet by 1 and 3/4 feet by 2 and 1/2 feet. Fond the volume of the suitcase. Enter the answer as a mixed number in simplest form.
Answers
Answer:
[tex]\frac{105}{16} ft^3[/tex]
Step-by-step explanation:
The suitcase is in the shape of a rectangular prism and we need to find the volume.
The volume of a rectangular prism is given as:
V = L * B * H
where L = length
B = breadth
H = height
The dimensions of the suitcase are [tex]1\frac{1}{2} ft[/tex] by [tex]1 \frac{3}{4} ft[/tex] by [tex]2 \frac{1}{2} ft[/tex]
Therefore, the volume of the suitcase is:
[tex]V = 1\frac{1}{2} * 1 \frac{3}{4} * 2 \frac{1}{2} \\\\V = \frac{3}{2} *\frac{7}{4} *\frac{5}{2} \\\\V = \frac{105}{16} ft^3[/tex]
The volume of the suitcase is [tex]\frac{105}{16} ft^3[/tex]
What is the value of x in the equation 2 (x + 3) = 4 (x - 1)?
o 1
o 2
o 3
o 5
please help T.T brainliest & 25 pts. :0
Answers
Answer:
5
Step-by-step explanation:
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter of the larger cylinder?
Figures not drawn to scale
A.
28 inches
B.
20 inches
C.
18 inches
D.
16 inches
Answers
Answer:
the answer is C 18 inches
Step-by-step explanation:
first, set up a proportion as such:
32/12 = 48/x
next, cross multiply to get:
576 = 32x
and solve for x:
x = 18
hope this helps
Find the HCF of 85 and 153.
Answers
Answer:
17
Step-by-step explanation:
85 div 17 = 5
153 div 17 = 9
No higher number
Answer:
17
Step-by-step explanation:
factors of 85 : 1, 5, 17,85
factors of 153 :1 , 3 , 9 , 17, ..
HCF = 17
find the distance between (4, -5) and (-4, -5) on the coordinate plane
Answers
Answer:
x difference is 8
Step-by-step explanation:
Y values are the same so just find the difference in -4 and 4
He has a total of $45 to buy t tickets, each tickets cost $5
Answers
Answer:
He can buy 9 tickets
Find the volume of a rectangle with a base of 1/4 a height of 4/2 with a width of 1/4
Answers
Answer:
1/8
Step-by-step explanation:
Volume is base times width times height. 4/2x 1/4x 1/4= 1/8
Since y generally
as x increases,
x and y have a
Answers
Answer: decreases; negative correlation; not
Step-by-step explanation:
Just got it right in the assignment
Answer:
Since y generally
✔ decreases
as x increases,
x and y have a
✔ negative correlation
The number of calories is
✔ not
correlated with the amount of vitamin C.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
3(4x-10)=2(3x-30) i need help again i have to turn in all of my school work tomorrow so i don't fail the 8th grade
Answers
Answer:
The result for this equation is [tex]x = -5[/tex] .
Step-by-step explanation:
-Solve the equation:
[tex]3(4x-10)=2(3x-30)[/tex]
-Use Distributive Property:
[tex]3(4x-10)=2(3x-30)[/tex]
[tex]12x - 30=6x - 60[/tex]
-Subtract 6x and from 12x :
[tex]12x - 30 -6x=6x -6x - 60[/tex]
[tex]6x - 30=-60[/tex]
-Add both sides by 30:
[tex]6x - 30 +30=-60 +30[/tex]
[tex]6x =-30[/tex]
-Then, you divide both sides by 6:
[tex]\frac{6x}{6}=\frac{-30}{6}[/tex]
[tex]x = -5[/tex]
So, therefore the answer is [tex]x = -5[/tex] .
Is -21 a rational number
Answers
-21 is an integer and all integers are rational numbers.
Remember, integers are the set of whole
numbers and their negative counterparts.
Chase and Emily are buying stools for their patio. They are deciding between 3 heights (table height, bar height, and XL height) and 3 colors (brown, white, and black). They each created a display to represent the sample space of randomly picking a height and a color.
Answers
Answer:
Neither
Step-by-step explanation:
Answer:
D: Neither
Step-by-step explanation:
Ascatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?
As the x-values increase, the y-values tend to increase.
As the x-values increase, the y values tend to decrease.
As the x-values decrease, the y-values tend to decrease.
As the x-values decrease, the y-values tend to vary randomly.
Answers
Answer:
B) As the x-values increase, the y-values tend to decrease
Answer:the answer is B
Step-by-step explanation:
Which expression is equivalent to (-4y-x)-(3y-9x)?
A) -7y-8x
B) -7y+8x
C) -y-10x
D) y+10x
Answers
Answer:B. -7y+8x
Step-by-step explanation:
hope this helps
If explanation is needed, let me know
In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=20°, and XY = 73 feet. Find the length of ZX to the nearest tenth of a foot
Answers
Answer:
ZX = 68.6 feet
Step-by-step explanation:
In this question, we are asked to calculate the length of ZX.
please check attachment for diagram of triangle.
Now, we have to use trigonometric identities to get the length xz.
Looking at the triangle, we can see we have the hypotenuse an angle and we are asked to calculate the the adjacent.
The trigonometric identity to use here is the Cosine.
Mathematically, The cosine is the ratio of the adjacent to the hypotenuse.
Cos 20 = xz/73
xz = 73 Cos 20
xz = 73 * 0.939692620786
xz = 68.6 feet
In a recent year, U.S. advertisers spent $60 billion on television advertising. This number made up 40 percent of total advertising. What was the dollar amount spent by U.S. advertisers on all other forms of advertising?
Answers
Answer:
The amount spent on all other types of advertising is $90 billion
Step-by-step explanation:
In this question, we are asked to calculate the amount spent on all other forms of advertising given the amount spent on tv advertising and the percentage of the total that it represents.
Firstly, we need to calculate the total amount spent on advertising.
we do not know this amount, so we can call it x.
Now, mathematically;
40% of x = $60 billion
40/100 * x = 60 billion
40x = 100 * 60 billion
x = (100 * 60)/40 = 6000/40 = 150 billion
The amount spent on all other advertising = Total amount spent on advertising- amount spent on television advertising = 150 billion - 60 billion = 90 billion
what is (3.2x10 the 13th power) + (2.5 x 10to the 11th power)
Answers
Answer:3.225 times 10 to the 13th power= 32250000000000
Step-by-step explanation:
(3.2•10^13)+(2.5•10^11)
3.2000000000000+2.50000000000
Please help me with this question:((
Answers
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin? Check all that apply. Subtract the two diameters and multiply by 3107-11-05-20-05-task Calculate the circumference of the coin. Add the two diameters and multiply by 3107-11-05-20-05-task Subtract the circumference of the hole from the circumference of the coin. Calculate the radius of the hole.
Answers
Answer:a) Subtract the two diameters and multiply by 3.14
d) Subtract the circumference of the hole from the circumference of the coin
Step-by-step explanation:
i just did the assignment
The possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin is
a) Subtract the two diameters and multiply by 3.14
b) Subtract the circumference of the hole from the circumference of the coin
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the coin be represented by a circle
Now , The outer edge of the coin is having a diameter of d₁
The inner edge of the coin is having diameter of d₂
So , the difference between the distances from the outer edges and the inner edges of the coin is given by
A = ( d₁ - d₂ )π
A = 2πr₁ - 2πr₂
Hence , difference between the distances from the outer edges and the inner edges of the coin is solved
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We need a flower garden with a perimeter of 10 feet and an area of 4 square feet
Length : Feet
Width : Feet
Answers
use "guess and check" method if this is an elementary school question
guess length is 4 and width is 1
4 + 1 + 4 + 1 = 10
4 x 1 = 4
if this is a high school question, use the attached answer
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has _____ dots. The dot plot has ______dots to the left of the center and dots to the right of the center. The center of the data set is ______________
Answers
Answer:
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has ___15__ dots. The dot plot has ___7___dots to the left of the center and dots to the right of the center. The center of the data set is _______8_______
We have assumed that the dot plot has 15 dots for the purpose of solving this case.
Step-by-step explanation:
The center of the dot plot is obtained by subtracting 1 from the total dots and dividing the result by 2.
The center of data is a single number that summarizes the entire data set. It is called the Median. The median represents the midpoint value of a data set, where the values are arranged in ascending or descending order. Unlike the mean, the median can be used to find the center of data when the numbers in the data set contain one or more outliers.
It is one of the measures of central tendencies and the most accurate measure for that matter.
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has 10 dots. The dot plot has 5 dots to the left of the center and dots to the right of the center. The center of the data set is 5.5.
To provide an accurate and complete response, I'll need to define a hypothetical dot plot. Let's assume we have a dot plot representing the following data set:
Now, let's break down the problem:
Number of dots on the dot plot:
- Count the total number of dots: [tex]\(1 + 1 + 1 + 2 + 1 + 1 + 2 + 1 = 10\)[/tex]
- So, the dot plot has 10 dots.
Finding the center of the data set:
- The center of the data set is determined by the median when the data is ordered. Since there are 10 data points (an even number), the median will be the average of the 5th and 6th values when sorted.
Sorted data: [tex]\(2, 3, 4, 5, 5, 6, 7, 8, 8, 9\)[/tex]
The 5th value is 5, and the 6th value is 6. Therefore, the median is:
[tex]\[ \text{Median} = \frac{5 + 6}{2} = 5.5 \][/tex]
Number of dots to the left and right of the center:
- Dots to the left of the median (5.5): [tex]\(2, 3, 4, 5, 5\)[/tex] (5 dots)
- Dots to the right of the median (5.5): [tex]\(6, 7, 8, 8, 9\)[/tex] (5 dots)
- The dot plot has 10 dots.
- The dot plot has 5 dots to the left of the center and 5 dots to the right of the center.
- The center of the data set is 5.5.
is 4.2123417... rational or irrational ?
Answers
Answer:
Irrational
Step-by-step explanation:
Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction. For example, 5/7 and 13/120 are both rational numbers, and their product, 65/840, is also a rational number.
An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
Answer:
Irrational
Step-by-step explanation:
It cannot be expressed as a fraction
WILL MARK BRAINLIEST! PLZ HELP ASAP;;;
Answers
Answer:
(x, y) = (5, 7)
Step-by-step explanation:
It can be useful to put these equations into standard form, with mutually-prime coefficients and a positive x-coefficient.
10x +y -(4x +4y) = 9 . . . . . subtract the variable terms on the right
6x -3y = 9 . . . simplify
2x -y = 3 . . . . . divide by 3 to put in standard form
__
(x +10y) -(10x +y) = 18 . . . . . subtract the variable terms on the right
-9x +9y = 18 . . . simplify
x -y = -2 . . . . . . . divide by -9 to put in standard form
__
Now, we can subtract the second equation from the first.
(2x -y) -(x -y) = 3 -(-2)
x = 5
y = x+2 = 7 . . . from the second simplified equation
The solution is (x, y) = (5, 7).
Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles?
A.
The angle bisectors and the perpendicular bisectors for both triangles intersect at the same point.
B.
The angle bisectors of ∆BCD intersect at the same point as those of ∆BED.
C.
The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
D.
The angle bisectors of ∆BCD intersect at the same point as the perpendicular bisectors of ∆BED.
Answers
C
The correct option is C: The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
Given is a quadrilateral BCDE is inscribed in circle A in which BD divides the quadrilateral into two triangles, ∆BCD and ∆BED.
[Refer to the figure attached]
If you draw a perpendicular bisector of a circle's chords, they will meet in the middle.
BCD, BC, CD, and BD are therefore circle chords in the triangle. At point O, the perpendicular bisector of BC, CD, and BD will intersect.
The chords of the circle are BED, BE, ED, and BD in the triangle. All of these chords will intersect at point O on a perpendicular bisector drawn from their points of origin.
Hence, the choice C is correct.
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Which of the following statements correctly describes the points? The distance between (3, 4) and (3, –7) is 11 units. The distance between (3, 4) and (3, –7) is 3 units. The distance between (4, 3) and (–7, 3) is 10 units. The distance between (4, 3) and (4, –7) is 4 units.
Answers
Answer:
The distance between (3, 4) and (3, –7) is 11 units
Step-by-step explanation:
Answer:
The person that answered first is right
Step-by-step explanation:
on a recent latin quiz, two people scored a 100, three people scored a 90, five people scored an 80, one person scored a 70. find the standard deviation of these scores
Answers
need help please! :(
Answers
2) 0.23% chance
3) you’d have a 50% chance
The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay.
5^x
3(0.75)^2t
35(2.4)^x
5000(1.04)^3t
0.05^x
500(0.005)^t
Answers
Answer:
Answers B, E and F (1, 5 and 6).
Step-by-step explanation:
In an exponential equation, (y=ab^x), the "b" value must be a decimal less than 1 (but greater than 0) for it to be considered an exponential decay function. Only equations B, E and F have a "b" value that fits this criteria.
Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for a total of $6.75, and 4 pieces of crab for $8.00. Which list shows the unit cost of each pieces of sushi from least to greatest? squid, crab, tuna, eel eel, squid, tuna, crab squid, eel, crab, tuna eel, tuna, crab, squid
Answers
Answer:
squid, crab, tuna, eel
Step-by-step explanation:
Just make each sushi piece into an equation, then solve it.
For example, for the squid: (s stands for squid)
[tex]2s = 3.5\\ s=1.75[/tex] Divide both sides by 2 to get "s" by itself
Eel: (e stands for eel)
e = 3.25
Tuna: (t stands for tuna)
[tex]3t=6.75\\ t=2.25[/tex] Divide both sides by 3 to get "t" by itself
Crab: (c stands for crab)
[tex]4c=8\\ c=2[/tex] Divide both sides by 4 to get "c" by itself
**Then order from least to greatest**
Answer: Squid crab tuna eel
Step-by-step explanation: I took the test :)
What is the volume of this piece of wood?
Answers
The volume of the wood is found using the formula for the volume of a rectangular prism, which is the product of its length, width, and height. Using the given dimensions, the wood's volume is 9 cubic inches. Density calculations would further require the wood's mass.
Explanation:To find the volume of a piece of wood, you can apply the formula for the volume of a rectangular prism, which is length × width × height. For example, if a piece of wood has dimensions of 6 inches in length, 3 inches in width, and 0.5 inches in height, the calculation for its volume would be:
Volume of the wood = 6 in. × 3 in. × 0.5 in. = 9 in.³.
If we wish to discuss the density of wood, we would need its mass along with its volume. The density can then be calculated by dividing the mass by the volume. Knowing the density is useful as it can help determine if the wood will sink or float when placed in water, an example of the principle of buoyancy.
Can someone please help me with this
Answers
Answer:
11 + √65
Step-by-step explanation:
The distance between A and C is 7 units; the distance between C and B is 4 units. 7 will be a and 4 will be b. The distance between A and B is c, because it is unknown.
The Pythagorean Theorem states a² + b² = c². So, if you plug in the values for a and b, you will get 7² + 4² = c² which equals 49 + 16 = c², which equals 65 = c²
Now you have 65 = c², and the only way you can solve for c is to find the square root of 65. Since 65 is not a perfect square number and therefore does not have a whole number square root, you can leave it as √65.
Now the values you have are 7, 4, and √65. Add those together and you get 11 + √65. :)