The function f(x) is graphed below. what is true about the graph on the interval from x = y to x = ∞?* it is positive and increasing* it is positive and decreasing * it is negative and increasing* it is negative and decreasing
Answers
Looking at the graph, we will the following:
The portion ab is increasing
The portion bc is decreasing
The portion cd is decreasing
The portion de is increasing
The portion ef is increasing
The portion fg is decreasing
The portion beyond g is increasing
In the interval x = y to x = ∞, we will observe that the graph is positive & increasing
Hence, the first option is correct (it is positive and increasing)
Related Questions
3.50 divide by 24.50
Answers
Answer:
1/7 or 0.143
Step-by-step explanation:
i hope this helps
Finding Angles with JustificationIn the diagram below BC = EC and m
Answers
Answer:
Angle Reason
m∠ECD = 140 Given
m∠ECB = 40 Supplementary angles
m∠EBC = 70 Isosceles triangle
m∠ABE = 110 Supplementary angles
Explanation:
Angle ECB and CED are supplementary because they form a straight line and their sum is 180 degrees. So, we can calculate the measure of ∠ECB as
m∠ECB = 180 - 140
m∠ECB = 40
Then, the interior sum of the angles of a triangle is equal to 180 degrees, so
m∠ECB + m∠EBC + m∠BEC = 180
40 + m∠EBC + m∠BEC = 180
However, m∠EBC = m∠BEC because triangle ABC is an isosceles triangle where 2 sides have the same length BC and EC. So, we can find m∠EBC as follows
40 + m∠EBC + m∠EBC = 180
40 + 2m∠EBC = 180
40 + 2m∠EBC - 40 = 180 - 40
2m∠EBC = 140
m∠EBC = 140/2
m∠EBC = 70
Then, the measure of ∠ABE is equal to
∠ABE = 180 - m∠EBC
∠ABE = 180 - 70
∠ABE = 110
Therefore, we can answer it as follows
Angle Reason
m∠ECD = 140 Given
m∠ECB = 40 Supplementary angles
m∠EBC = 70 Isosceles triangle
m∠ABE = 110 Supplementary angles
What’s the correct answer asap for brainlist
Answers
Answer:
Step-by-step explanation:its a 69420 dum as
Real numbersA stock lost 8 and 3/8 on Monday, 1 and 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the net gain or loss of the stocks for these three days?
Answers
Answer: The net gain was 3 stocks for these three days.
Explanation
Given
• Monday: lost 8 and 3/8.
,• Tuesday: lost 1 and 5/8 points.
,• Wednesday: gained 13 points.
Procedure
To calculate the net gain, we have to add all the values we are giving, considering that the stock lost will have a negative sign:
[tex]\text{Net gain}=Gains-losses[/tex]0. Calculating the losses
We have to mixed numbers, for which we can add the whole numbers and the fractions separately.
• Whole numbers
[tex]-8-1=-9[/tex]• Fractions
[tex]-\frac{3}{8}-\frac{5}{8}=-\frac{8}{8}=-1[/tex]At last, we add both results and we get the losses:
[tex]losses=-9-1=-10[/tex]2. Calculating the gains
As we only have one quantity, there is no need for calculations:
[tex]Gains=13[/tex]3. Calculating net gain
Finally, we put both quantities in the formula:
[tex]\text{Net gain}=13-10=3[/tex]A scale drawing of a game room is shown below:A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 4.5 inches. The scale is 1 to 30.What is the area of the actual game room in square feet? Round your answer to the nearest whole number.9 ft223 ft256 ft2270 ft
Answers
The scale factor from the drawing to the room is 1 to 30. Then, multiply the dimensions of the drawing by 30 to obtain the real dimensions of the room. Then, use the real values to find the area of the room.
Since the length is labeled 2 inches, the real length of the room is:
[tex]2in\times30=60in[/tex]Since the width is labeled 4.5 inches, the real with of the room is:
[tex]4.5in\times30=135in[/tex]1 foot is equal to 12 inches. Then, divide the dimensions by 12 to find the measurements in feet:
[tex]\begin{gathered} 60in=60in\times\frac{1ft}{12in}=5ft \\ \\ 135in=135in\times\frac{1ft}{12in}=11.25ft \end{gathered}[/tex]Multiply the width and the length to find the area of the room:
[tex]A=(5ft)(11.25ft)=56.25ft^2\approx56ft^2[/tex]Therefore, to the nearest whole number, the area of the game room is 56ft^2.
A spinner can land on either red or blue You spin seven times and then roll a six sided die. Find the number of possible outcomes in the sample space?
Answers
If we spin the spinner once, we can get two possible outcomes (red or blue).
If we spin it twice, the outcomes can be (blue, blue), (blue, red), (red, blue), (red, red); this is, 4 different results.
Then, if we spin the spinner 7 times, there are 2^7=128 possible outcomes.
Finally, we can get any of the 128 possible outcomes from the spinner and rolling a 1; similarly, for rolling a 2, 3,..., 6.
Therefore, the number of possible outcomes of spinning the spinner seven times and rolling a die is
[tex]2^7\cdot6=128\cdot6=768[/tex]There are 768 possible outcomes in the sample space.
Question 1 1. Which of the following is NOT a true statement? 1 point 21 22 23 24 25 26 27 28 O A. Angle 1 and Angle 5 are corresponding angles. w B. Angle 2 and Angle 7 are alternate interior angles. C. Angle 5 and Angle 8 are vertical angles. D. Angle 3 and Angle 7 are corresponding angles. O I e Type here to searchwhats the answer
Answers
Note:
Corresponding agles are angles on corresponding (the same) side of the two lines intersected by the transversal
Alternate angles are angles on the opposite sides of the transversal
Add.
47+13
Enter your answer as a fraction in simplest form by filling in the boxes.
Answers
Answer: 47+13 =60
60 as a fraction should be 3/5 in simplest form.
Step-by-step explanation:
PLEASE DO IT ASAP
What is the value of the expression?
0.3(1/4 - 1) + 0.35
-0.575
-0.125
0.125
1.4
1.925
Answers
The value of the expression 0.3(1/4 - 1) + 0.35 is 0.125
The expression is
0.3(1/4 - 1) + 0.35
The expression is defined as the sentence with a minimum of two variables and at least one math operation.
Here the expression is
0.3 (1/4 - 1) + 0.35
First do the arithmetic operation in the bracket
0.3(1/4 - 1) + 0.35 = 0.3 × -0.75 + 0.35
In next step do the multiplication
0.3 × -0.75 + 0.35 = -0.225 + 0.35
Do the addition of the numbers
-0.225 + 0.35 = 0.125
Hence, the value of the expression 0.3(1/4 - 1) + 0.35 is 0.125
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Question
In a pet store, the small fishbowl holds up to 225 gallons of water. The large fishbowl holds up to 213 times as much water as the small fishbowl.
Eloise draws this model to represent the number of gallons of water the large fishbowl will hold.
How many gallons of water does the large fishbowl hold?
Answers
The number of gallons that the large fishbowl holds would be = 47,925 gallons.
What are fishbowls?The fishbowls are containers that can be used to transport liquid substance such as water and food products such as fish. This can be measured in Liters, millilitres or in gallons.
The quantity of water the small fishbowl can take = 225 gallons.
The quantity of water the large fish bowl can take = 213(225 gallons)
That is, 213 × 225= 47,925 gallons.
Therefore, the quantity of water that the large fishbowl can hold is 47,925 gallons.
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2. (5 points) A very special island is inhabited only by knights and knaves. Knights always tell
the truth, and knaves always lie. You meet two inhabitants: Sue and Marge. Sue says that
Marge is a knave. Marge claims. "Sue and I are not the same." Determine who is a knight and
who is a knave.
Answers
Answer:
Sue is knave and Marge be knightStep-by-step explanation:
Let Sue be knight and Marge be knave.
Sue says: "Marge is a knave". Since Sue is knight, she is right and Marge should lie.
Marge says: "Sue and I are not the same." - this is right answer too, so this is not a correct response and our assumption is wrong.
Now, let Sue be knave and Marge be knight. Then Marge's response is right and Sue's is wrong. This is a match and this assumption is correct.
If z = 30, use the following proportions to find the value of x. x : y = 3:9 and y : z = 6 : 20.
Answers
We are given the following proportions:
[tex]\begin{gathered} x:y=3:9 \\ y:z=6:20 \end{gathered}[/tex]The second proportion is equivalent to:
[tex]\frac{y}{z}=\frac{6}{20}[/tex]Now, we substitute the value of "z":
[tex]\frac{y}{30}=\frac{6}{20}[/tex]Now, we multiply both sides by 30:
[tex]y=30\times\frac{6}{20}[/tex]Solving the operation we get:
[tex]y=9[/tex]Now, since we have the value of "y" we can use the first proportion to get the value of "x":
[tex]x_:y=3:9[/tex]This is equivalent to:
[tex]\frac{x}{y}=\frac{3}{9}[/tex]Now, we substitute the value of "y":
[tex]\frac{x}{9}=\frac{3}{9}[/tex]Now, we multiply both sides by 9:
[tex]x=9\times\frac{3}{9}[/tex]Solving the operations:
[tex]x=3[/tex]Therefore, the value of "x" is 3.
Each face of a pyramid is an isosceles triangle with a 70 degree vertex angle. What are the measures of the base angles?
Answers
We are given that each face of a pyramid is an isosceles triangle and that its vertex angle is 70 degrees. This problem can be exemplified in the following diagram:
Since the triangle is isosceles, its base angles are the same, and the sum of the interior angles must be equal to 180 degrees. Therefore, we have the following relationship:
[tex]70+x+x=180[/tex]Adding like terms, we get:
[tex]70+2x=180[/tex]Now we solve for "x", first by subtracting 70 on both sides:
[tex]\begin{gathered} 70-70+2x=180-70 \\ 2x=110 \end{gathered}[/tex]Now we divide both sides by 2
[tex]x=\frac{110}{2}=55[/tex]Therefore, the base angles of the pyramid are 55 degrees.
Describe the transformation from the graph of f to the graph of h. Write an equation that represents h in terms of x. Look at image for example. Let’s do problem number 11
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given functions.
[tex]\begin{gathered} f(x)=-(x+5)^2-6 \\ h(x)=\frac{1}{3}f(x) \end{gathered}[/tex]STEP 2: Explain the transformation that occurs
What are Vertical Stretches and Shrinks?
While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape. When a graph is stretched or shrunk vertically, the x -intercepts act as anchors and do not change under the transformation.
This can be explained further as:
For the base function f (x) and a constant k > 0, the function given by:
[tex]\begin{gathered} h(x)=k\cdot f(x) \\ A\text{ vertical shrinking of f\lparen x\rparen by k factor where }0Calculate the equation that represents h in terms of x[tex]\begin{gathered} f(x)=-(x+5)^2-6 \\ h(x)=\frac{1}{3}\cdot f(x)=\frac{1}{3}\cdot-(x+5)^2-6 \end{gathered}[/tex]Hence, the transformation from the graph is a vertical shrinking by 1/3 factor and the equation that represents h in terms of x is given as:
[tex]\frac{1}{3}\times(-(x+5)^2-6)[/tex]how many km/h equals 880ft/min? Explain how you solved this problem
Answers
The number of kilometers per hour in 880 feet / minute can be found to be 16.09 kilometers per hour
How does km/h relate to ft/ min?Based on the conversion rates between kilometers and feet, the number of feet per minute for each kilometer per hour is 54.6807 feet per minute.
In other words, 1 km / h is equal to 54.6807 feet per minute.
If there are 880 ft / minute therefore, the number of kilometers per hour is:
= Speed in feet per minute / feet per minute per kilometer per hour
= 880 / 54.6807
= 16.09 kilometers per hour
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how do you simplify this complex fraction in the lowest terms
[tex]\frac{77x^9/15y^5}{7x^7/10y^4}[/tex]
Answers
Answer:
[tex]\frac{22x^{2}}{3y}[/tex]
Step-by-step explanation:
[tex]\frac{(77x^{9})(10y^{4}) }{(7x^{7})(15y^{5}) }[/tex]
[tex]\frac{(11x^{2})(2)}{3y}[/tex]
give the coordinates of the image of each point under a reflection across to given line.(0,8); y=x
Answers
Answer:
(8, 0)
Explanation:
Whenever a point (x,y) is reflected across the line y=x, the transformation rule is given below:
[tex](x,y)\to(y,x)[/tex]That is, the x-coordinate and y-coordinate change places.
Therefore, the image of the point (0,8) when reflected across the line y=x is:
[tex](8,0)[/tex]The correct answer is (8,0).
32. Which statement is true if m and n are parallel? A slope m = slope (n)B slope m= -1 (Divide) slope (n)C slope m= 1 (Divide) slope (n)D slope m= -1 x slope (n)
Answers
Two lines that parallel, their slopes are equals.
L1 and L2 are parallel only if the slopes of the lines are s1 and s12 are identical
therefore the correct answer is A. slope m = slope (n) since they say that two slopes the same
Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.
Answers
1) Note that we need to find a perpendicular line. Perpendicular lines have reciprocal and opposite slopes. So we know that the slope we need is -3
2) We also know that it must pass through (-2,-6), so let's plug the slope -3 the point (-2,-6) so that we can find the linear coefficient:
[tex]\begin{gathered} y=mx+b \\ -6=-3(-2)+b \\ -6=6+b \\ -6-6=b \\ b=-12 \end{gathered}[/tex]
In triangle XYZ, | XZ | = | YZ | ∆YXZ = 40⁰ and ∆XZY = (13x - 20)⁰. Find the value of x.
Answers
Given the triangle XYZ with the following parameters
[tex]\begin{gathered} |XZ|=|YZ| \\ \measuredangle YXZ=40^0 \\ \measuredangle XZY=(13x-20)^0 \\ \text{Therefore} \\ \measuredangle ZYX=40^0 \end{gathered}[/tex]The diagram of the triangle is shown below
To find the value of x, we will apply sum of interior angle of triangle theorem
[tex]\begin{gathered} 40^0+40^0+(13x-20)^0=180^0(\text{ sum of angles in a triangle)} \\ 80^0+13x-20^0=180^0 \\ 13x+60^0=180^0 \\ 13x=180^0-60^0 \\ 13x=120^0 \\ x=\frac{120^0}{13} \\ x=9.2308^0 \end{gathered}[/tex]Hence, the value of x is 9.2308°
identify point in region of inequalities
Answers
We want to picture the inequalities
[tex]y<\text{ - x -3}[/tex]and
[tex]y>\frac{4}{5}x\text{ +5}[/tex]First, we consider the lines y= -x -3 and and y=(4/5) x +5 . Since the first line has a negative slope, this means that its graph should go downwards as x increases and since the other line has a positive slope, this means that its graph should go upwards as x increases. This leads to the following picture
Now, the expression
[tex]y<\text{ -x -3}[/tex]means that the y coordinate of the line should be below the red line. Also, the expression
[tex]y>\frac{4}{5}x+5[/tex]means tha the y coordinate should be above the blue line. If we combine both conditions, we find the following region
so we should look for a point that lies in this region
We are given the points (-1,9), (-6,2), (9,-9) and (-8,-5).
We see that the yellow region is located where the x coordinate is always negative. So, this means that we discard (9,-9).
so we should test the other points. Since -8 is the furthest to the left, let us calculate the value of each line at x=-8.
[tex]\text{ -(-8) -3 = 8 -3 = 5}[/tex]so, in this case the first expression is accomplished since -5 < 5. And
[tex]\frac{4}{5}\cdot(\text{ -8)+5= =}\frac{\text{ -7}}{5}=\text{ -1.4}[/tex]However note that -5 < 1.4, and it should be greater than -1.4 to be in the yellow region. So we discard the point (-8,-5) .
We can check , iusing the graph, that the lines cross at the point (-40/9, 13/9) which is about (-4.44, 1.44). This means that for the point to be on the yellow region, it should be on the left of -4.44. Since the only point that we are given that fulfills this condition is (-6, 2), this should be our answer. We check that
[tex]\text{ -(-6)-3=3>2}[/tex]and
[tex]\frac{4}{5}\cdot(\text{ -6)+5 = }\frac{1}{5}=0.2<2[/tex]so, the point (-6,2) is in the yellow region
Find the quotient32 divided by 517 what is quotient and what is remainder
Answers
Calculate the division as shown below
Therefore, the quotient is 16 and the remainder is 5
The answer is 16R5You begin at the origin and travel 5 units to the right and then vertically 3 units. You will be at what ordered pair?
Answers
In a x-y coordinate plane of you moves to the right it increase the value of x and if you moves vertically it increases the value of y.
The ordered pair is (x,y)
For the given moves: (5,3)How to write slope intercept form
Answers
Answer:
See below
Step-by-step explanation:
If you are given slope (m) and intercept (b) , then write the line equation like this:
y = mx + b
I’m doing conversions and need to convert from years to months
Answers
Answer:
There are 126 months in 10 years and 6 months.
Explanation:
In a year there are 12 months.
[tex]1\text{ }year=12\text{ }months[/tex]Then, to know how many months are in 10 years, we multiply by 10:
[tex]10\cdot1\text{ }year=10\cdot12\text{ }months[/tex][tex]10\text{ }year=120\text{ }months[/tex]Now we add the additional 6 months:
[tex]120+6=126\text{ }months.[/tex]The answer is 126.
i inserted a picture of the question please state whether the answer is a b c or d please don’t ask questions, yes i’m following.
Answers
Solution
- We are asked to find the complement of rolling a 5 or 6 given a cube numbered 1 - 6.
- The complement of an event is defined as every other event asides the event in context.
- Other than rolling a 5 or 6, we can also roll a 1, 2, 3, or 4. This constitutes the complement of rolling 5 or 6.
Final Answer
The complement of rolling a 5 or 6 is:
{Rolling a 1, 2, 3, or 4} (OPTION B)
Which comparison is NOT correct?2 > -3-7 < -5-9 < 10 < -4
Answers
0 > -4 is incorrect
as -4 is a negative number and it comes on the left of 0 on a number line
and we know number increase from left to right
so option D is the answer.
Decide whether the change is an increase or decrease and find the percent change. Original number = 45 New number = 18 Answer: 60% decrease 60% increase 150% increase 150% decrease
Answers
The percentage change can be found below
[tex]\begin{gathered} \text{percentage change = }\frac{\text{ new number}-\text{original number}}{\text{original number}}\times100 \\ \text{percentage change=}\frac{18-45}{45}\times100 \\ \text{percentage change}=-60 \\ \end{gathered}[/tex]Since the percentage is negative, this means there is a 60% decrease.
x - 5 = 2(4x-3) - 5 = 7x - 6 1/7= xx - 5 = 8x - 6-5 + 6 = 7x-6+6 1 = 7x x-x-5 = 8x - x - 6 1/7 = 7x/7Original equationCombine like terms. Solution Distributive PropertyAddition Property of EqualityCombine like terms.Subtraction Property of EqualityDivision Property of Equality What is the order to do this equation.
Answers
We have to solve the equation:
[tex]\begin{gathered} x-5=2(4x-3) \\ x-5=8x-6 \\ x-x-5=8x-x-6 \\ -5+6=7x-6+6 \\ 1=7x \\ \frac{1}{7}=\frac{7}{7}x \\ \frac{1}{7}=x \end{gathered}[/tex]The steps are:
1. Original equation
2. Distributive property
3. Substraction property of equality
4. Addition property of equality
5. Combine all terms
6. Division property of equality
7. Solution
for each triangle identify a base and corresponding height use them to find the are
Answers
A)
For this tringle we can turn the figure like this:
now we have two right triangles and we can calulate the base of the first triangle with the sin law
[tex]\begin{gathered} \frac{\sin (90)}{3}=\frac{sin(a)}{2.5} \\ \sin (a)=\frac{2.5\sin (90)}{3} \\ \sin (a)=0.8 \\ a=\sin ^{-1}(0.8)=53º \end{gathered}[/tex]the angle b is going to be:
[tex]\begin{gathered} 180=90+53+b \\ b=180-90-53 \\ b=37 \end{gathered}[/tex]Now the base is going to be:
[tex]\begin{gathered} \frac{\sin(90)}{3}=\frac{\sin(37)}{\text{base}} \\ \text{base}=\frac{3\sin (37)}{\sin (90)}=1.8 \end{gathered}[/tex]and the base of the secon triangle is going to be:
[tex]\text{base}2=7.2-1.8=5.4[/tex]And the area of the triangles is going to be:
[tex]A1=\frac{base\times2.5}{2}=\frac{1.8\times2.5}{2}=2.25[/tex][tex]A2=\frac{base2\times2.5}{2}=\frac{5.4\times2.5}{2}=6.75[/tex]so in total the area is going to be:
[tex]A1+A2=2.25+6.75=9[/tex]B)
the procedure is similar, first we turn the tiangle like this:
the angle a is going to be:
[tex]\begin{gathered} \frac{\text{sin(a)}}{4.8\text{ }}=\frac{\sin (90)}{6} \\ \sin (a)=\frac{4.8\sin (90)}{6}=0.8 \\ a=\sin ^{-1}(0.8) \\ a=53º \end{gathered}[/tex]the angle b is going to be:
[tex]\begin{gathered} 180=90+53+b \\ b=180-90-53 \\ b=37º \end{gathered}[/tex]now the base is going to be:
[tex]\begin{gathered} \frac{\sin (37)}{base}=\frac{sen(90)}{4.8} \\ \text{base}=\frac{4.8\sin (37)}{\sin (90)} \\ \text{base}=2.8 \end{gathered}[/tex]and the base of the other triangle will be:
[tex]\text{base}2=5-2.8=2.2[/tex]And the area of the triangles will be:
[tex]\begin{gathered} A1=\frac{base\times4.8}{2}=\frac{2.8\times4.8}{2}=6.72 \\ A2=\frac{base2\times4.8}{2}=\frac{2.2\times4.8}{2}=5.28 \end{gathered}[/tex]And the total area will be:
[tex]A1+A2=6.72+5.28=12[/tex]