Answers
Answer:
Step-by-step explanation:
Given is a piecewise graph.
From the graph we find that the domain is [-3,1]
From [-3,-1) the line is slant passing through (-3,0)(-2,1)
Slope =change in y/change in x = 1
Equation is y = x+3
Thus the function is x+3 for -3≤x<-1
and 5, -1≤x≤1
Related Questions
Triangle LMN has vertexes at L(-1, -6), M(1, -6), and N(1, 1). Find the measure of angle L to the nearest degree.
Answers
is a right-triangle, and you can pretty much see how long "y" and "x" are.
make sure your calculator is in Degree mode.
Use the table below to answer this question:
x y
0 2
1 -1
2 -6
Find the average rate of change for the given function from x = 0 to x = 2.
Answers
(-6-2)/(2-0) = -4
You probably know that if the interval was pretty small, between 0 and 0.0001, it would take you to the concept of slope and derivatives, but average change is just ignoring anything in between x=0, and x=2 (it could go up/down million times, and still the answer would be -4)
hope it helps
Flying against the wind, an airplane travels 2280 km in 4 hours. Flying with the wind, the same plane travels 6650 km in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
let plane speed in still air is X and air speed Y
so, X-Y = 2280/4 = 570 km/h
and X+Y = 6650/7 = 950 km/h
so, X = (570 + 950) / 2 = 760 km/h
and Y = 950- 760 = 190 km/h
:)
If a baseball team's ratio of wins to losses is 5 to 4, what is the ratio of wins to total games played?
Answers
the distance across the center of a circle is called the?
Answers
The distance from one side of a circle to the other going through the center is called the Diameter.
I hope that helps!
Given g(x) = 2x2 − 9x − 18 and f(x) = x − 6, identify (g/f)(x).
Answers
answer is 2x+3, x not equal to 6
see attached pic for steps
Answer:
2x + 3, x ≠ 6
Step-by-step explanation:
There are 7 yellow, 5 green, and 3 blue party hats in a bag. you randomly choose a yellow party hat and put it on. then your friend randomly chooses a yellow party hat. what is the probability of both of you choosing a yellow party hat?
Answers
P(yellow party hat) = 7/15
do not replace
P(yellow hat) = 6/14
P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%
The probability of choosing both yellow hats can be obtained as 1/5.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The number of yellow, green and blue hats are given as 7, 5 and 3.
Then, the total number of hats is 7 + 5 + 3 = 15.
Now, the probability for both hats to be yellow without replacement can be given as,
P(Both hats are yellow) = 7/15 × 6/14
⇒ P(Both hats are yellow) = 1/5.
Hence, the required value of probability is given as 1/5.
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Which expression is equivalent to (2g^5)^3/(4h^2)^3
Answers
First option
Answer:
Step-by-step explanation:
It’s A
Round 846 to the nearest hundred___________ and 3756 to the nearest thousand ________
Answers
In 1995, 57.5% of students at Gardiner University graduated in 4 or fewer years of study. In 2009 that number had fallen to 52.8%. What was the rate of change of percent of students graduating within 4 years from 1995 to 2009?
Answers
%change=100(52.8-57.5)/57.5
%change≈ -8.17%
Solve the inequality. Check your solutions.
7−(2/b)<(5/b)
im not surehow to answer this, it's supposedly in a number form but I'mcompetely lost. Maybe a _
Answers
[tex]7- \frac{2}{b}\ \textless \ \frac{5}{b}[/tex]
write 7 as 7b/b to have all the expressions in common denominator:
[tex] \frac{7b}{b} - \frac{2}{b}\ \textless \ \frac{5}{b}[/tex]
[tex]\frac{7b-2}{b} \ \textless \ \frac{5}{b}[/tex]
[tex]\frac{7b-2}{b}- \frac{5}{b}\ \textless \ 0[/tex]
[tex]\frac{7b-2-5}{b}\ \textless \ 0[/tex]
[tex]\frac{7b-7}{b}\ \textless \ 0[/tex]
[tex]\frac{7(b-1)}{b}\ \textless \ 0[/tex]
here b=1 is a root and b=0 is not in the domain of the expression, but it still has an effect in the sign of the expression.
the sign table of [tex]\frac{7(b-1)}{b} [/tex] is :
+++++++[0] --------[1] +++++
this means that for values of b to the left of 0 and to the right of 1, the expression is positive, and for values of b in (0, 1), the expression is negative.
that is [tex]\frac{7(b-1)}{b}\ \textless \ 0 [/tex] for b∈(0, 1)
Answer: (0, 1)
I'm studying for a test and i seriously can't figure this out. I took a screenshot. Please help and thanks. :) :P :D
Answers
What we are dealing with is called "Pythagorean Theorum", also known as the famous equation "A^2 + B^2 = C^2." The side length "A" is usually the side length opposite of the hypotenuse, which is the side length "C" that is directly across from the right angle of the triangle. The side length "B" is adjacent to the hypotenuse.
Let's apply this to our current triangle.
We have the side length "A", which is 12 in., and our side length "B", which is 6 in.
Now, let's plug in our numbers to our variables in order to solve for C.
A^2 + B^2 = C^2
Replace A with 12 and B with 6.
12^2 + 6^2 = C^2
Simplify the exponents.
144 + 36 = C^2
Simplify the left side.
180 = C^2.
Now, we must solve for C. As C is being squared, we must apply the opposite mathematical term, which is square rooting.
C^2 = 180.
Square root both sides to solve for C.
C = [tex] \sqrt{180} [/tex] in.
Your answer is (C).
I hope this helps!
How do we do this ? is it c or a? 15 points!!!!
Answers
HELP WILL GIVE BRAINLIEST (08.01)
Line Q is represented by the following equation: 2x + y = 11
Which equation completes the system that is satisfied by the solution (3, 5)?
x + 2y = 15
x + y = 15
x + y = 8
x − y = 2
Answers
3+2(5)=13 not 15
3+5=8 not 15
3-5 p=-2 not 2
The only logical answer is C
Answer:
C (1, 1) is the solution to line K but not to line J..
which of the following are not techniques used in geometric constructions with paper folding. Check all that apply
A. Creating arcs and circles work the compass
B. Drawing line segments
C. Measuring lengths of line segments by folding the paper and matching the endpoints
D. Folding the paper and aligning marks seen through the paper
Answers
There are two correct answers which are not techniques used in geometric constructions with paper folding and these are:
A. Creating arcs and circles work the compass
C. Measuring lengths of line segments by folding the paper and matching the endpoints
In geometric folding, a straight line becomes a crease or a fold. This is achieved by a person by folding a piece of paper and flattening the crease rather than drawing lines to make a guide. Therefore this means that shapes like arcs, curves, circles by using the compass, and measurement of line segments are not used. However, constructions using compass have a long history in Euclidean geometry.
The following are not techniques used in geometric constructions with paper folding:
A. Creating arcs and circles with the compass.
C. Measuring lengths.
What is a geometric construction?A geometric construction can be defined as a process that is used to draw angles, lines, and other geometric figures (shapes), especially through the use of only a compass and straightedge such as a ruler without measurements.
In Geometry, the techniques that should be used in geometric constructions with paper folding include the following:
Drawing line segments.Folding the paper and aligning marks that are seen through the paper.Read more on geometric construction here: https://brainly.com/question/7386615
A rectangular room is 4 4 times as long as it is wide, and its perimeter is 60 60 meters. find the dimension of the room.
Answers
4w + w + w + 4w = 60
10w = 60
w = 6
4w = 24
L = 24
(just to check the answer, 24 + 24 + 6 + 6 = 60 :)
Choose the answer that best represents the situation described below. Kurt is buying a new cell phone. He knows that the more features the cell phone has, the more expensive it will be. A. The cost of the cell phone is a function of the number of features. B. The size of the cell phone is a function of the number of features. C. The number of features is a function of the cell phone company Kurt chooses.
Answers
The cost of the cell phone is a function of the number of features.
Explanation:The answer that best represents the situation described is option A. The cost of the cell phone is a function of the number of features.
In this case, as Kurt is buying a new cell phone, he knows that the more features the cell phone has, the more expensive it will be. This implies that the cost of the cell phone is dependent on the number of features it has.
For example, if a cell phone with basic features costs $200, a cell phone with additional features like a better camera, more storage, and waterproof capabilities may cost $400 or more.
There are 10 pots exposed in the shop, 2 of which have hidden defects. the customer buys two pieces. what is the probability that at least one of them has a hidden bug ?
Answers
All the possible scenarios are:
1st.non defective, 2nd.non defective
1st.non defective, 2nd. defective
1st. defective, 2nd. non defective
1st. defective, 2nd. defective
consider the case 1st.non defective, 2nd.non defective
the probability that the first one is non defective is 8/10, since 8 out of 10 are non defective.
In this scenario, the second one is non defective as well. The probability for this to happen is 7/9, since now we have 7 non defective pots, and 9 in total.
This means that the probability of the first to be non defective, and the second non-defective is (8/10) * (7/9)=0.622
similarly we calculate the other cases, as shown in the picture.
P(at least one is defective)=
P(1st.non defective, 2nd. defective)+P(1st. defective, 2nd. non defective)+P(1st. defective, 2nd. defective)=
0.178+0.178+0.022=0.378
Answer: 0.378
A student is running a 3-kilometer race. He runs 1 kilometer every 2 minutes. Select the function that describes his distance from the finish line.
Answers
Final answer:
A function that describes a student's distance from the finish line in a 3-km race, running 1 km every 2 minutes, is a linear function represented by the formula f(t) = 3 - 0.5t, where t is time in minutes. This function shows a direct and proportional decrease in distance as time progresses.
Explanation:
The question asks for a function that describes the student's distance from the finish line in a 3-kilometer race, given that they run at a constant pace of 1 kilometer every 2 minutes. To find this function, we can use the concept of a linear relationship between time and distance.
Since the student is 3 kilometers away from the finish line at the start and runs 1 kilometer every 2 minutes, we can set up the function f(t) = 3 - 0.5t, where t represents time in minutes. This function decreases linearly because for every increase of 2 minutes in time, the distance from the finish line decreases by 1 kilometer. After 6 minutes, the function will read f(6) = 0, indicating that the student has reached the finish line.
An example will make this clear: After 4 minutes, the student has run 2 kilometers (since 4 minutes is twice 2 minutes, and the student runs 1 kilometer every 2 minutes), so his distance from the finish line is 3 km - 2 km = 1 km. We use f(t) = 3 - 0.5t and substitute t = 4 to get f(4) = 3 - 0.5(4) = 1 kilometer from the finish line.
Name a pair of complementary angles.
A. angle A E C and angle B E D
B. angle B E C and angle C E D
C. angle A E C and angle C E D
D. angle D E A and angle A E D
Answers
AEC and CED are complimentary
C. angle A E C and angle C E D
complementary angles: sum of angles = 90
Which is a description of the graph that would represent the inequality below?
12 – 2x < 16
Answers
The graph of the inequality 12 - 2x < 16 is represented by an open circle at -2 on a number line, with shading to the right, indicating all values greater than -2.
To describe the graph representing the inequality 12 - 2x < 16, we first need to solve for x. Subtracting 12 from both sides of the inequality, we get -2x < 4. Dividing both sides by -2 (and remembering to flip the inequality symbol when dividing by a negative), we have x > -2.
Graphically, this is represented on a number line with an open circle at -2 and a shaded area to the right of -2, indicating that x can be any number greater than -2.
There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.
Answers
Final answer:
The probability of selecting a girl, then a boy, and then another girl from a class with 5 girls and 5 boys is 10.42%.
Explanation:
The probability of a specific sequence of students being selected in a random draw can be calculated by multiplying the probabilities of each event occurring in succession. Since there are five boys and five girls in the class, the probability of drawing a girl first is 5/10, or 1/2. After drawing one girl, there are now four girls and five boys left, so the probability of drawing a boy second is 5/9. Finally, with one girl and one boy already picked, there are three girls and four boys left, making the probability of drawing a girl third 3/8.
To find the overall probability, we multiply these individual probabilities:
Probability = (First girl drawn) × (Second boy drawn) × (Third girl drawn)
Probability = (1/2) × (5/9) × (3/8)
Probability = (1 × 5 × 3) / (2 × 9 × 8)
Probability = 15 / 144
Probability = 0.1042 or about 10.42%
Final answer:
The probability of the teacher randomly selecting a girl, a boy, and another girl from a class of 5 boys and 5 girls is 5/6.
Explanation:
To find the probability of the teacher randomly selecting three different students, we need to consider the number of possible outcomes and the number of favorable outcomes. In this case, there are 10 students to choose from and the teacher needs to select one girl, one boy, and another girl. To calculate the probability, we divide the number of favorable outcomes by the number of possible outcomes.
The number of favorable outcomes is 5 for the first girl, 5 for the boy, and 4 for the second girl (since the first girl has already been selected). So the total number of favorable outcomes is 5 x 5 x 4 = 100.
The number of possible outcomes is the total number of ways to choose 3 students from the 10 available. This can be calculated using the combination formula: C(10, 3) = 10! / (3!(10-3)!) = 120.
Therefore, the probability of selecting a girl, a boy, and another girl is 100/120 = 5/6.
5,200 g divided by 583.1 mL
Answers
there is 1 gram per 1 milliliter so just divide them
5200/583.1 = 8.91785
you don't say if it needs to be rounded to a certain amount
so since the mL has one decimal place
round to 8.9mL
Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.
Answers
how about f(x) = |x|/x
It jumps from -1 to +1 at x=0, yet it can be integrated on [-1,1]. The surface is 2.
If a=6 and b=5 what is the value of (A2-b2)2
Answers
(36-25)^2
11^2
121
a=6 and b=5
(6²-5²)²
pemdas, so simplify inside first
(36-25)²
(11)²
121
The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?
a. x = –6 or x =
b. x = –4 or x =
c. x = or x = 6
d. x = or x = 4
ON EDUCATION2020 THE ANSWER IS (D)
Answers
Final answer:
To find when g(x) = 0 for the function g(x) = 6x² + 23x – 4, the quadratic formula is used, yielding the solutions x = 0.25 or x = −4.
Explanation:
The question asks for the values of x for which the quadratic function g(x) = 6x² + 23x – 4 equals zero. To find the values of x when g(x) = 0, one can use the quadratic formula, which is x = −(b ± √(b² ∔ 4ac)) / (2a) for a quadratic equation ax2 + bx + c = 0.
Here, a = 6, b = 23, and c = −4. Substituting these values into the quadratic formula gives:
x = −(23 ± √(23² ∔ 4 × 6 × (−4))) / (2 × 6)
After calculating the discriminant (√(b² ∔ 4ac)) and simplifying, we obtain the two solutions for x. Therefore, the correct answer is:
x = 0.25x = −4So, the correct answer, marked as (d) on Education 2020, corresponds to x = 0.25 or x = −4.
Find the volume of a cone with radius 30 in and slant height 50 in.
Answers
The volume of cone is 37,680 cubic inch.
What is volume?Space is used by every three-dimensional object. This space is estimated concerning its volume. The volume of an object in three-dimensional space is the amount of space it occupies within its boundaries. The capacity of the object is another name for it.
An object's volume can help us figure out how much water is needed to fill it, like how much water is needed to fill a bottle, aquarium, or water tank.
Given radius of cone = r = 30 inch
slant height = l = 50 inch
volume of cone = V = 1/3πr²h
relation between height, radius, and slant height is given by
l² = h² + r²
where l = slant height, h = height and r = radius
h = [tex]\sqrt{l^{2} - r^{2} }[/tex]
h = [tex]\sqrt{50^{2} - 30^{2} }[/tex]
h = √1600 = 40 inch
V = 1/3πr²h = 1/3π × (30)² × 40
V = (3.14 × 900 × 40)/3
V = 37,680 cubic inch
Hence the volume is 37,680 cubic inch.
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Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo. Yesterday she had seven clients and earned $500. Let x represent only the clients that got a cut and y represent the clients that got a cut and color combo.
Which of the following equations could be used to represent this situation.
1. y=7-x
2. x + y= 500
3. 120x + 35y= 500
4. (35+120) (x + y)= 500
5. 35x + 120y= 500
Check all that apply
Answers
35x + 120y= 500
Always the last one! lol
Answer:
Option 5th is correct
[tex]35x+120y = 500[/tex]
Step-by-step explanation:
Here, x represents only the clients that got a cut and y represent the clients that got a cut and color combo.
As per the statement:
Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo.
" Charges $35 for a cut" translated to 35x
"$120 for a cut and color combo" translated to 120y
It is also given that yesterday she had seven clients and earned $500.
⇒[tex]35x+120y = 500[/tex]
therefore, an equations could be used to represent this situation is, [tex]35x+120y = 500[/tex]
If your starting salary is 50000 and u earn a 4% increase annually, how much money will you earn over 16 years
Answers
it was 1091227 on APEX
ASAP WILL MARK BRAINIEST ANSWER FOR FIRST CORRECT ANSWER Find the image of A(4, -2) after it is reflected over the line y = 2, then reflected over the line x = 2. (-8, 6) (0, -2) (0, 6) (-8, -2)
Answers
Answer:
(0, 6)
Step-by-step explanation:
Since, when a points is reflected through the line y = 2,
Then, the rule will be,
[tex](x,y)\rightarrow (x, -(y-4))[/tex]
While, the points is reflected through the line x = 2,
Then, the rule will be,
[tex](x,y)\rightarrow (x-4, y)[/tex]
So, when (4,-2) is reflected over the line y = 2 is,
[tex](4,-2)\rightarrow (4, -(-2-4))[/tex]
Hence, the position of (4,-2) after reflection through line y = 2 is (4,6),
Now, when (4,6) is reflected over the line x=2 is,
[tex](4,6)\rightarrow (4-4, 6)[/tex]
Hence, the position of (4,6) after reflection through line x = 2 is (0,6),
Third option is correct.