Answers
f(x)=y=√x looks something like this:
(4,2)
(9,3)
(16,4)
Whilst your graph is much higher slope, for lack of better term
Rules of transformation
f(x)+b - function is shifted b units upward (up y-axis)
f(x)-b - function is shifted b units downward (down y-axis)
f(x+b) - function is shifted b units to the left (negative x-axis)
f(x-b) - function is shifted b units to the right (positive x-axis)
-f(x) - function is reflected over x-axis
f(-x) - function is reflected over y-axis
bf(x) - vertical stretch for |b| > 1, vertical shrink for 0< |b| <1
f(bx) - horizontal shrink for |b| > 1, horizontal stretch for 0< |b| <1
**INVALIDATE my answer, as statements were given 10 mins after posted**
Answer:
The graph is translated to the left by 3
Step-by-step explanation:
the equation would be y= sqrt(x)+3
Related Questions
A particular industrial product is shipped in lots of 20. Testing to determine whether an item is defective is costly, and hence the manufacturer samples his production rather than using a 100 percent inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers calls for sampling five items from each lot and rejecting the lot if more than one defective is observed. (If rejected, each item in the lot is tested.) If a lot contains four defectives, what is the probability that it will be rejected
Answers
The probability that the sample will be rejected if five items from 1 lot is selected is 26/15504.
Given Industrial product is product in lots of 20. If sample contains more than one defective then the lot will be rejected.
Probability is the chance of happening an event among all the events possible. The probability lies between 0 and 1. The formula of calculating probability is as under:
Probability= number of items/ total items.
Sample from 1 lot =5
Samples in 1 lot=20
Lot will be rejected when 1 sample, 2 sample , 3 sample, 4 sample or all the samples are defective.
Probability that the lot will be rejected=[tex](5C_{2} +5C_{3} +5C_{4} +5C_{5})/20C_{5}[/tex]
=(10+10+5+1)/15504
=26/15504
Hence the probability that lot will be rejected if the lot is rejected if more than one defective is observed is 26/15504.
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A student wants to sell 18 cookies for a fundraiser. She knows that she only has 3 days left to sell her cookies. Write an equation to find out how many cookies she must sell each day to reach her goal.
Answers
Explanation: 18 divided by 3 is 6
Answer:
6 cookies per day.
Step-by-step explanation:
if she is going to sell 18 cookies within 3 days, would divide that problem, (18 divided by 3) which will get you selling 6 cookies per day during that 3-day challenge.
Match the systems of equations with their solution sets.
Answers
The Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3
What are System of Equations ?The system of equations are the set of equations that have common solution.
The set of equations given are
y+5 = x² - 3x
2x +y = 1
On subtracting equation 1 from 2
5 - 2x = x² -3x -1
x² -x -6 = 0
(x-3)(x +2) = 0
x = 3 , -2
At x = 3 , -2; y = -5 , 5
The set of equation are
y -17 = x²-9x
-x +y =1
-17 +x = x² -9x -1
x²-10x +16 = 0
x² - 8x -2x +16 = 0
(x -8) (x-2) = 0
at x = 2 ,8 ; y = 3 ,9
The set of equation is
y +12 = x²+x
x +y =3
12 - x = x²+x -3
x²+2x -15=0
x² +5x -3x -15 = 0
x(x+5) -3(x+5) = 0
(x-3)(x+5) = 0
x = 3 ,-5
At x = 3 , -5 , y = 0,8
The set of equation is
y-15 = -x² +4x
x +y = 1
-15 -x = -x²+4x -1
x²-5x -14 = 0
x² -7x +2x -14 = 0
x(x-7) +2(x-7) = 0
(x +2) (x-7) = 0
x = -2 , 7
at x = -2 , 7 ; y = 3 ,-6
Therefore the Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3
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Which is the slope-intercept equation of the line (-2,2) and (0,-4)?
Answers
Answer:
y=3x-4
Step-by-step explanation:
If there are 36 eggs in 3 egg cartons, how many eggs are in 6 egg cartons? eggs
Answers
Step-by-step explanation:
36 eggs in 3 cartons.
now we double the cartons, so, we need to double the eggs too, because there is a direct relationship between cartons and the number of eggs.
so. in 2×3 cartons are then 2×36 = 72 eggs.
What are the coordinates of a point P(x, y)
reflected across the y-axis? Across the x-axis?
Use reflection notation to write your answer.
Answers
[tex]R_{x-axis}[/tex] means [tex]P(x,y) \longrightarrow P'(x,-y)[/tex].
[tex]R_{y-axis}[/tex] means [tex]P(x,y) \longrightarrow P'(x,-y)[/tex]
Calculate the ninth term of the sequence:
3, 8, 13, 18, 23, 28, 33, 38, ...
Answers
Answer:
43
Step-by-step explanation:
sequence: +5
∴ninth term of sequence = 38+5
= 43
Sulin has some $2 and $5 notes. The value of the notes add up to $58. There are 15 more $2 notes than $5 notes. How many $2 notes does Sulin have?
Answers
Answer:
t is number of 2 dollars
f is number of 5 dollars
2t+5f=58
f+15=t
2(f+15)+5f=58
simplify
2f+30+5f=58
simplify
7f+30=58
subtract
7f=28
f=4
substitute
4+15=t
4 five dollars
19 2 dollars
Hope This Helps!!!
35.149 = 30+5+0.1+ ____ +0.009
how to find the missing sum
Answers
Answer:
0.04
Step-by-step explanation:
30+5+0.1+0.009 is 35.109
35.149 - 35.109= 0.04
35.149 = 30+5+0.1+ ____ +0.009
= 30 + 5 + 0.1 + x + 0.009
= 35.109 + x
x is the unknown value, so what number add to the 35.109 gives 35.149? That's what we're after.
35.149 = 35.109 + x
- 35.109 both side
0.04 = 0 + x
Thus, x = 0.04
(35.109 - 35.109 cancles each other & we get x on its own because 0.04 - 0 gives you 0.04)
Hope this helps!
5. A boy gets 29 marks out of 50 in his maths ex-
am. What percentage did he score?
Answers
Answer:
58%
Step-by-step explanation:
29 / 50 * 100% = 58 % ( rather pathetic score, huh?)
Answer:
58%
Step-by-step explanation:
the boy gets 29 marks out of 50
Then
He gets 29 × 2 marks out of 50 × 2
Then
He gets 58 marks out of 100
Therefore
He scored 58%
In Angle FGH, the measures of angles F, G, and
H, respectively, are in the ratio 4:4:10. Find
the measure of each angle.
Answers
Answer:
40 40 100°
Step-by-step explanation:
Is that TRIANGLE FGH?
the angles add to 180
180 / ( 4 + 4 + 10 ) = 10
then each angle is 4 x10 4 x 10 and 10 x10
Find the value of x to the nearest tenth.
Answers
Answer:
Its 31.0 as the the two triangles are similar and the scale factor is 2
Can someone please help me figure out if there similar and then the rest
Answers
The figures have corresponding sides that are proportional, therefore, they are similar figures.
What are Similar Figures?When two figures are similar to each other, the corresponding sides are proportional to each other.
The two figures given have two opposite sides that are parallel and congruent to each other. Therefore:
DA/VS = 21/7 = 3
AB/ST = 15/5 = 3
Thus, we can conclude that since their corresponding sides are proportional, therefore, they are similar to each other.
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write an exponential function that includes the following given pair of points.
(-3,16) and (-2,8)
Answers
M=-8
8=-2(-8) +b
8=16+b
B=-8
PLEASE HELP I AM REALLY CONFUSED
Answers
Answer:
Step-by-step explanation:
y = 3 (x-1)(x+ 7 ) this graph will intercept the x axis when y = 0
0 = 3 ( x-1)(x+7) so you can see this = 0 when x =1 or when x = -7
these are the x-axis intercepts
the vertex will be right in the middle between the intercepts found above ....... at x = -3
plug this value in to find the y coordinate 3 ( -3-1)(-3+7) = -48
vertex is -3, -48
the axis of symmetry is the value of the x coordinate of the vertex
x = - 3
direction of opening will be upward.....
see attached graph
Part B Which value is closest to the product 0.04 × 8.01?
A. 32
B. 3.2
C. 0.032
D. 0.32
Answers
Answer:
D
Step-by-step explanation:
this is because when multipled you get 0.3204 so u round and it becomes 0.320
Answer:
D
Step-by-step explanation:
0.04 x 8.01 = [tex]\dfrac{4}{100} . \dfrac{801}{100}[/tex]
[tex]=\dfrac{3204}{10000}\\\\\\0.3204[/tex]
Why can't [tex]x^2-5x-1[/tex] be factored?
Answers
Answer:
Step-by-step explanation:
Discussion.
Not directly. But the quadratic formula can do it. But that's not your question.
the factors you get must contain the factors for 1 which are 1 and - 1
These factors must add to - 5. There's no way that will happen with 1 and - 1 and you would be creative math if you tried to say that you could make one of the factors (x -1-1-1-1-1-1). That creates a whole new question.
A store carries chocolate, vanilla, peppermint, and lemon candies. One day, the store clerk notices that he has fifteen candies total. Furthermore, the number of peppermint and lemon candies together is twice the number of chocolate and vanilla candies together, and there are eight more peppermint candies than lemon candies. How many lemon candies are there
Answers
The total number of lemon candies is 1, solved using the linear equation in one variable 3l + 12 = 15, where l is the number of lemon candies.
We assume the number of chocolate candies to be c.
We assume the number of vanilla candies to be v.
We assume the number of peppermint candies to be p.
We assume the number of lemon candies to be l.
The total number of candies is given as 15.
This can be represented by the linear equation: c + v + p + l = 15 ... (i).
The number of peppermint candies and lemon candies together is given to be twice the number of chocolate and vanilla candies together.
This can be represented by the linear equation: p + l = 2(c + v) ... (ii).
There are eight more peppermint candies than lemon candies.
This can be represented by the linear equation: p = l + 8.
Substituting p = l + 8 in (ii), we get,
l + 8 + l = 2(c + v),
or, 2(l + 4) = 2(c + v),
or, c + v = l + 4.
Substituting c + v = l + 4, and p = l + 8, in (i), we get:
l + 4 + l + 8 + l = 15,
or, 3l + 12 = 15,
or, 3l = 15 - 12 = 3,
or, l = 3/3 = 1.
Therefore, the total number of lemon candies is 1, solved using the linear equation in one variable 3l + 12 = 15, where l is the number of lemon candies.
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A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.
f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).
Answers
The statements that are true about the intervals of the continuous function are Options 2, 4 and 5
f(x) ≤ 0 over the interval [0, 2].f(x) > 0 over the interval (–2, 0).f(x) ≥ 0 over the interval [2, ).What is the statement about?Looking at the values given, the intervals which satisfies the condition are known to be:
f(x)<=0 over the interval [0,2]
f(x)>0 over the interval (-2,0)
f(x)>=0 over the interval [2,∞)
Because:
Since the table with x and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .
Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)
Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]
When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)
When you look at the interval (-2,0) , the f(x) is positive and as such, f(x)>0 over the interval (-2,0)
Looking at the interval [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)
Therefore, Option 2, 4 and 5 are correct.
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I have a bag with blue marbles and yellow marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 8:5. If I remove 12 blue marbles and add 21 yellow marbles, the ratio will be 1:3. How many blue marbles were in the bag before I removed some
Answers
There were 15 blue marbles in the bag before removing some
Let B=blue marbles and Y= yellow marbles
The ratio of B to Y is
[tex]\frac{B}{Y} =\frac{8}{5}[/tex]
If we remove 12 blue marbles and add 12 yellow marbles,
the ratio will be
[tex]\frac{B-12}{Y+21} =\frac{1}{3}[/tex]
[tex]3(B-12)=1(Y+21)[/tex]
[tex]3B-36=Y+21\\[/tex]
[tex]3(\frac{8}{5}Y)-36=Y+21[/tex]
[tex]\frac{24}{5}Y-Y=21+36[/tex]
[tex]\frac{19}{5}Y=57[/tex]
[tex]Y=\frac{57*5}{19}\\[/tex]
[tex]Y=15[/tex]
[tex]B=\frac{8}{5} (15)\\B=24[/tex]
Hence, there were 15 blue marbles in the bag before removing some
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for what values of b will f(x)=log b x be a decreasing function?
Answers
Answer:
Step-by-step explanation:
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
Answers
Equations b,c, and e accurately represent this statement.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The three equation accurately represents this statement is;
4.9 x-(-3) = 12.8
3+ 4.9 x = 12.8
12.8 = 4.9 x +3
Hence, equations b,c, and e accurately represent this statement.
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Find the value of x:
X
4
10
Answers
Applying the definition of similar triangles, the value of x is determined as: 12.5.
What are Similar Triangles?In a triangle like the one shown above, the line that intersects the two sides of the triangle divides the two sides of the triangle to form similar triangles. Thus, their corresponding sides are proportional to each other.
Therefore, we would have:
(x + 5) / 5 = (10 + 4) / 4
(x + 5) / 5 = 14/4
4(x + 5) = 5(14)
4x + 20 = 70
4x = 70 - 20
4x = 50
x = 50/4
x = 12.5
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How many $4$-digit positive integers exist that satisfy the following conditions: (A) Each of the first two digits must be $1$, $4$, or $5$, and (B) the last two digits cannot be the same digit, and (C) each of the last two digits must be $5$, $7$, or $8$
Answers
Answer:
54 possibles
Step-by-step explanation:
Digit ONE 3 choices
Digit two 3 choices
digit three 3 choices
digit four 2 choices
3 x 3 x 3 x 2 = 54 choices meet all of the conditions
Consider the line shown on the graph below. Enter the equation of the line in the form y = mx + b where m is the slope and b is the y-intercept. Enter the equation of the line in the form y=mx + b where m is the slope.
Answers
Hello!
We know the y-intercept (b) is 160. So let's find the slope!
Slope = rise / run
Slope = 120 - 160 / 1 - 0
Slope = -40/1 = -40
Forming the equation :
y = mx + b
y = -40x + 160
∴ The equation of the line in slope-intercept form is y = -40x + 160.
6. (04.05 MC)
Which Inequality matches the graph? (1 point)
-2x+3y>7
2x+3y <7
-3x+2y>7
3x-2y <7
Answers
3x - 2y < 7
=============================================================
Explanation:
The dashed boundary line goes through (1, -2) and (3, 1)
Find the slope of this line using the slope formula.
[tex](x_1,y_1) = (1,-2) \text{ and } (x_2,y_2) = (3,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-2)}{3 - 1}\\\\m = \frac{1 + 2}{3 - 1}\\\\m = \frac{3}{2}\\\\[/tex]
The slope is 3/2 indicating we go up 3 and to the right 2.
--------------
Now use the point-slope template so we can determine the equation of the boundary line.
[tex]y - y_1 = m(x - x_1)\\\\y - (-2) = \frac{3}{2}(x - 1)\\\\y + 2 = \frac{3}{2}(x - 1)\\\\2(y+2) = 3(x-1) \ \ \text{ see note1 below}\\\\2y + 4 = 3x - 3\\\\2y - 3x = -3 - 4\\\\-3x+2y = -7\\\\3x-2y = 7 \ \ \text{ see note2 below}\\\\[/tex]
Note1: For this step, I multiplied both sides by 2 to clear out the fraction.
Note2: Multiply both sides by -1 so that the x coefficient is positive
--------------
The key thing to pull away from the previous section is that the boundary line equation is 3x - 2y = 7
The question from here is: "What do we replace the equal sign with?"
We need to pick either < or > since we have a dashed boundary. We won't have an "or equal to" portion.
Let's assume the inequality sign is <
3x - 2y = 7 turns into 3x - 2y < 7
To see if this works, we'll plug in the origin (0,0) to get...
3x - 2y < 7
3(0) - 2(0) < 7
0 < 7
The last inequality above is true, so 3x - 2y < 7 is also true when x = 0 and y = 0. It tells us that the origin is in the shaded region. This matches with what the graph shows.
Therefore, we have confirmed that 3x - 2y < 7 is indeed the case.
You could pick other test points. However the origin is the easiest to work with in my opinion. If the boundary went through the origin, then you'd have to pick another point like (0,1).
If you want to use technology to verify the answer, then Desmos and GeoGebra are two good options to go for. See the screenshots below.
can anyone help me find its Area and perimeter? im so confused please also explain it!!
Topic= Measurement Area, volume & capacity
Answers
Answer:
See below
Step-by-step explanation:
Diameter of the semi circles = 15 - 3-3 = 9mm
radius = 4.5 mm
area of rectangle tha goes through the semicircles = 5 x 15 = 75 mm^2
area of two semicircles =
area of circle with radius 4.5 = pi r^2 = 63.62 mm^2
total area = 75 + 63.62 = `38.62 mm^2
Perimeter Two small side rectangles = 2 * (3+5+3) =26 mm
perimeter of cicle with diameter 9 = pi * d = 9pi = 28.27 mm
total perimeter = 54.27 mm
(check my math !)
3x − 12y = −21,
−x + 4y = 7
find x and y intercept
Answers
The y-intercept is (0, 1.75)
Write an equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1). HELP!!!!!
Answers
The equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8
Equation of a lineThe equation of a line in slope intercept form is expressed as;
y = mx + b
The equation of the perpendicular bisector will be given as y = -1/m x+ b
where
m is the slope
b is the y-intercept
Determine the slope
Slope = -1-5/9-3
Slope = -6/6
Slope = -1
For the y-intercept
-1 = -1(9) + b
-1 = -9 + b
b = 8
Determine the equation
y = -1/m x + b
y = -1/(-1) x + 8
y = x + 8
Hence the equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8
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a ramp is 17 feet long, rises 8 feet above, and a covers a horizontal distance of 15 feet as showed in the figure. the ratio of to is equal to tan B
Answers
Using relations in a right triangle, it is found that:
The ratio of 8 to 15 is equals to tan B.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Researching the problem on the internet, we have that:
The side opposite to angle B has a length of 8 feet.The side adjacent to angle B has a length of 15 feet.Hence the tangent of B is:
tan(B) = 8/15.
Which means that:
The ratio of 8 to 15 is equals to tan B.
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