Answer:
The third graph
Step-by-step explanation:
What the translation is saying is that for each value of f(x) = |x|, the graph is translated 4 units in the negative x direction and 3 units for the positive y direction. Another way to say this is that for each f(x), we can add (-4) (or subtract 4) to its x value and add 3 to its y value.
One way to find which graph works is to take a point, figure out where it should be, and work from there.
One example of this is (-1,1). If x=-1, |x| is 1, so in the original graph, our point is (-1, 1). In our translated graph, we need to subtract 4 from the x component (the first number, which is -1 in this case) and add 3 to the y component (the second number, or 1 in this case). Our new point comes to
(-1-4 , 1+3)
= (-5, 4)
Therefore, one point on the resulting graph is (-5, 4). We can look through each graph and see if it has the point.
Looking at each graph, it is clear that the graph in the bottom left, or the third graph, contains the point.
The equation of the translated function will be f(x) = |x + 4| + 3. Then the correct option is C.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The function is given below.
f(x) = |x|
Then the function is translated 4 units in the negative x-direction and 3 units in the positive y-direction. Then the vertex will be at (-4, 3). Then the equation of the function will be
f(x) = |x + 4| + 3
Then the graph is given below.
Then the correct option is C.
More about the absolute function link is given below.
https://brainly.com/question/10664936
#SPJ2
Which simplified equation is equivale to the equation shown below? 15x – 5 + x = -47
Answer:
[tex]15x - 5 + x = - 47 \\ 15 + x - 5 = - 47 \\ 16x - 5 = - 47 \\ 16x = - 47 \\ x = \frac{ -16x}{16} = \frac{ - 45}{16} \\ x = - \frac{21}{8} [/tex]
Someone please help me I’m having trouble!!!!
Answer:
(c) [tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
(d) [tex](x,y) = (0.67,2.33)[/tex]
Step-by-step explanation:
Given
See attachment
First, we complete the table
[tex]y = -x + 3[/tex] [tex]y = 2x + 1[/tex]
[tex]y = -0.6 + 3 = 2.4[/tex] [tex]y = 2 * 0.6 + 1 = 2.2[/tex]
[tex]y = -0.7 + 3 = 2.3[/tex] [tex]y = 2 * 0.7 + 1 = 2.4[/tex]
[tex]y = -0.8 + 3 = 2.2[/tex] [tex]y = 2 * 0.8 + 1 = 2.6[/tex]
[tex]y = -0.9 + 3 = 2.1[/tex] [tex]y = 2 * 0.9 + 1 = 2.8[/tex]
So, we have:
[tex]\begin{array}{ccc}x & {y = -x + 3} & {y = 2x + 1} & {0.5} & {2.5} & {2} & {0.6} & {2.4} & {2.2} & {0.7}&{2.3} & {2.4} & {0.8}&{2.2} & {2.6} & {0.9}&{2.1} & {2.8} & {1}&{2} & {3} \ \end{array}[/tex]
Solving (c): Between which values is y
The values of y are for both equations are closest at:
[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
Hence, the solution is between
[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
Solving (d): Approximated value of the solution
We have:
[tex]y = -x + 3[/tex]
[tex]y = 2x + 1[/tex]
[tex]y=y[/tex]
So:
[tex]-x + 3 = 2x + 1[/tex]
Collect like terms
[tex]2x + x = 3 - 1[/tex]
[tex]3x= 2[/tex]
Divide both sides by 3
[tex]x = 0.67[/tex]
Substitute [tex]x = 0.67[/tex] in [tex]y = -x + 3[/tex]
[tex]y =-0.67 + 3[/tex]
[tex]y =2.33[/tex]
So, the solution is:
[tex](x,y) = (0.67,2.33)[/tex]
. Mildred bought an old
necklace and pair of earrings
while at an antique show. If
the cost of the jewelry is ]
and tax is 7%, which of the
following equations could be
used to find the total cost of
the jewelry?
a. .07 + ]
b. J +.07 x)
C. (.07x)) + ]
d. 7) + ]
Answer:
j * .07 +j
Step-by-step explanation:
The tax on the jewelry is J* .07
Add the tax to the cost of the jewelry to get the total cost
j * .07 +j
Umm.. Hi there! Can someone please help me out with this? (only for those who know the answer)
Bcoz I really need this rn :(
DUEEEE AFTERRR LUNCHH! :(:(:(:(
If your answer is NONSENSE it will be deleted as soon as possible!
But if your answer is CORRECT, HELPFUL, HAS AN EXPLANATION, I'll chose your answer as the BRAINLIEST ANSWER!
Answer:
The Exterior Angle of triangle LDR is angle d. The Remote Interior Angles are a and b.
The Exterior Angle of triangle PDR is angle 4. The Remote Interior Angles are angles 1 and 2
Explanation:
Interior angles are the angles that are inside the shape. The remote interior angles would be the 2 angles away from the exterior angle.
The exterior angle is the angle, made by the side of the shape and a line drawn out from an adjacent side.
I hope this helps!
Answer:
In LDR
Exterior = d Interior = a, bIn PDR
Exterior = 4Interior = 1, 2Exterior angle of a triangle is formed when one side of the triangle is extended .
Interior remote angles the angles in the triangle that do not lie on the extended side.
Solve the rational equation:
Answer:
Step-by-step explanation:
C. f(x) will be a very small negative number, approaching -∞
I need help finding the answer to this question on edge.
Answer:
6
Step-by-step explanation:
We need to evaluate :-
[tex]\rm\implies \displaystyle\rm\sum^4_n (-1)^n (3n + 2 ) [/tex]
Here the [tex]\Sigma[/tex] is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,
[tex]\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2) [/tex]
Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,
[tex]\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)[/tex]
Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,
[tex]\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}[/tex]
Hence the required answer is 6.
What is the answer to this
Answer:
y = -1.5x - 1
Step-by-step explanation:
We can use the general equation of y = mx + c to form our linear equation as seen on this graph.
Choosing two points on the graph (I will choose 0,-1 and 2,-4) we can find the gradient, m, as the distance between these points
[tex]\frac{Rise}{Run} = \frac{(-1)-(-4)}{(0)-(2)} = \frac{3}{-2} =-1.5[/tex]
We can find the c value by seeing where the graph cuts through the y-axis
This point is -1
Therefore our equation is y = -1.5x - 1
Alternatively, you could write it as [tex]y= -\frac{3}{2} x - 1[/tex]
Answer:
y = -1.5x - 1
SCALCET8 3.9.019. A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 7 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after the woman starts walking
Answer:
The solution is defined in the attached file please find it.
Step-by-step explanation:
find c.round to the nearest tenth
Answer:
we need a picture...
Step-by-step explanation:
Write the monomial in its standard form. Name its coefficient and
identify its degree:
2
3
2 mºn :4.573
Answer:
A monomial in standard form is (essentially) the product of one or more factors: a constant coefficient and one factor for each variable in the expression.
Step-by-step explanation:
For example, in the monomial 4x2y3, the factors are 4, x2, and y3. First, the coefficient is 4. The next factor, x2, is the x-factor, whose degree is 2.
g Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. (-4, 8), undefined slope Hint: Any line parallel to Y axis has undefined slope.
Answer:
The equation is x + 4 = 0.
Step-by-step explanation:
Point (-4 , 8)
A line parallel to the Y axis has slope is infinite.
The equation of line is
[tex]y - y' = m (x-x')\\\\y - 8 =\frac{1}{0}(x+4)\\\\x + 4 = 0[/tex]
A bottling machine fills soda bottles with an average of 12.000 ounces of soda. The standard deviation is 0.002 ounces. If the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces, calculate the process capability index of the machine. Group of answer choices Less than or equal to 1 More than 4 More than 2 but less than or equal to 3 More than 1 but less than or equal to 2
Answer:
the process capability index of the machine is 2.5
Option c) [More than 2 but less than or equal to 3] is the correct answer
Step-by-step explanation:
Given the data in the question;
process average ( x') = 12.000 ounces
standard deviation σ = 0.002 ounces
the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces.
so
Upper specification Limit USL = 12.000 + 0.015 = 12.015 ounces
Lower specification Limit LSL = 12.000 - 0.015 = 11.985 ounces
the process capability index of the machine will be;
Cp = ( process average - Lower specification Limit ) / 3σ
so we substitute
Cp = ( 12 - 11.985 ) / ( 3 × 0.002 )
Cp = 0.015 / 0.006
Cp = 2.5
Therefore, the process capability index of the machine is 2.5
Option c) [More than 2 but less than or equal to 3] is the correct answer
−3 1/2 ÷ 1 1/4
khan academy
answer in simplified proper fraction
or
simplified improper fraction
Answer:
Step-by-step explanation:
Change the mixed numbers to improper fractions.
HELPP PLEASEEEEEEEEEEEEEEEEEEEEEE
The sum of 6 and 12 divided by 9.
Which equations are true for the values x,y,z? Select 3 options
Answer:
Step-by-step explanation:
Fraction in simplest form
9514 1404 393
Answer:
27/64
Step-by-step explanation:
The fraction being cubed is already in simplest form, so the cube is ...
[tex]\left(\dfrac{3}{4}\right)^3=\dfrac{3^3}{4^3}=\boxed{\dfrac{27}{64}}[/tex]
Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of the two numbers is as large as possible.
Answer:
The two numbers are:
x = 500
y = 125
Step-by-step explanation:
We want to find two numbers x and y, such that:
x + 4*y = 1000
f(x, y) = x*y is maximum.
From the first equation, we can isolate one of the variables to get
x = 1000 - 4y
now we can replace it in f(x, y):
x*y = (1000 - 4*y)*y = 1000*y - 4*y^2
So now we want to maximize the function:
f(y) =- 4*y^2 + 1000*y
where y must be an integer.
Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.
Remember that for a general quadratic equation:
y = a*x^2 + bx + c
the x-value of the vertex is:
x = -b/(2*a)
so, in the case of:
f(y) =- 4*y^2 + 1000*y
the y-value of the vertex will be:
y = -1000/(2*-4) = 1000/8 = 125
So we found the value of y.
now we can use the equation:
x = 1000 - 4*y
x = 1000 - 4*125 = 1000 - 500 = 500
x = 500
Then the two numbers are:
x =500
y = 125
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Surveying 26 people to determine which brand of ice cream is their favorite.
A. Yes
B. No
There are more than two possible outcomes on each trial of the experiment. The experiment does not consist of n identical trials. The trials are dependent.
Answer:
The answer is "No, There are more than two possible outcomes on each trial of the experiment ".
Step-by-step explanation:
When various ice cream products are known. This might surpass 2 brands or more. Thus the number of different results varies considerably.
BINOMIAL DISTRIBUTION:
An investigation with a set set of individual tests, each only with two possible results.
Four conditions are met by the binomial experiment
The set of indicators is fixed.Each attempt is autonomous.2 potential results exist only.In each and every test, the probability of each outcome remains unchanged.Solve for x.
7(x+2) = 6(x+5)
O x=-44
O X=-16
O x= 44
O x= 16
Answer:
x = 16
Step-by-step explanation:
7(x + 2) = 6(x + 5)
First, to start solving this problem, we have to distribute the "7" to the "x + 2" in the parenthesis and the "6" to the "x + 5" in the parenthesis.
7x + 14 = 6x + 30
Next, let's subtract "6x" from both sides of this equation!
x + 14 = 30
Now, we have to subtract "14" from both sides of the equation.
x = 16
Lastly! Let's make sure our "x=" equation is correct by inputting our value into the "x" values.
7(16 + 2) = 6(16 + 5)
7(18) = 6(21)
126 = 126
Since our equations equal each other we know that our x-value is correct!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
One number is 4 greater than another. The product of the numbers is 21. Find the numbers.
One pair of numbers, both of which are positive, is
Answer:
7 and 3 are two numbers that work
Step-by-step explanation:
7-3=4
7×3=21
Simplify 3/4 + 5/8 over 3/4 - 1/2
Answer:
11/2
Step-by-step explanation:
[tex]\frac{\frac{3}{4} + \frac{5}{8} }{\frac{3}{4} - \frac{1}{2} }[/tex]
= 3/4 + 5/8 = 11/8 (take LCM)
3/4 - 1/2 = 1/4 (take LCM)
11/8 ÷ 1 /4
= 11/8 x 4
= 11/2
Answered by Gauthmath
I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!
Answer: The answer that I got for z was 0.111575, which when you round it to the hundredths place would be 0.11
need assistance with this, thank you
Answer:
B. 1✓3 in.
Search It ok
I see the answer :)
An oil tanker spills oil that spreads in a circular pattern whose radius increases at a rate of 15 ft/min. Let A be the area of the circle and r be the radius of the circle. How fast is the area increasing when the radius is 30 feet
Answer:
[tex]2827.4 \dfrac{ft}{s}[/tex]
Step-by-step explanation:
[tex] A = \pi r^2 [/tex]
[tex] \dfrac{dA}{dt} = 2 \pi r \dfrac{dr}{dt} [/tex]
[tex] \dfrac{dA}{dt} = 2 \times \pi \times 30~ft \times 15 \dfrac{ft}{s} [/tex]
[tex] \dfrac{dA}{dt} = 2827.4 \dfrac{ft}{s} [/tex]
If Sultan Akbar goes to the Grand Bazaar With 8000 Rupees and 20% is spent on a carpet, how much has the carpet cost him?
Si el sultan Akbar va al Gran Bazar Con 8000 Rupias y se gasta el 20 % en una alfombra, cuanto le ha costado la alfombra?
Answer:
1600 Rupees
Step-by-step explanation:
20 divided by 100 times 8000 will give you 1600 so the carpet costed him 1600
The length of a rectangle is 13 centimeters less than three times its width. Its area is 56 square centimeters. Find the dimensions of the rectangle. Use the formula, area=length*width.
Answer:
The dimensions of the rectangle are 8 by 7 centimeters.
Step-by-step explanation:
The length of a rectangle is 13 centimeters less than three times its width. In other words:
[tex]\ell = 3w-13[/tex]
Given that the area of the rectangle is 56 square centimeters, we want to determine its dimensions.
Recall that the area of a rectangle is given by:
[tex]A = w \ell[/tex]
Substitute in known values and equations:
[tex](56)=w(3w-13)[/tex]
Solve for w. Distribute:
[tex]3w^2-13w=56[/tex]
Isolate the equation:
[tex]3w^2-13w-56=0[/tex]
Factor. We want to find two numbers that multiply to 3(-56) = -168 and that add to -13.
-21 and 8 suffice. Hence:
[tex]3w^2 - 21w + 8w - 56 = 0 \\ \\ 3w(w-7) + 8(w-7) = 0 \\ \\ (3w+8)(w-7) = 0[/tex]
Zero Product Property:
[tex]3w+8=0\text{ or } w-7=0[/tex]
Solve for each case:
[tex]\displaystyle w = -\frac{8}{3} \text{ or } w=7[/tex]
Since the width cannot be negative, we can ignore the first solution.
Therefore, the width of the rectangle is seven centimeters.
Thus, the length will be:
[tex]\ell = 3(7) - 13 = 8[/tex]
Thus, the dimensions of the rectangle are 8 by 7 centimeters.
Suppose a jar contains 9 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the jar at
the same time, find the probability that both marbles are red. Round your answer to four decimal places.
Answer:
0.0306
Step-by-step explanation:
I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.
The first draw gives
9/49
Their is no replacement. That's because both marbles are drawn together. The second draw is
8/48
P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306
There is a triangular number that has 55 dots in its shape. Which one is it? Write your answer as a number.
The triangular number that has 55 dots in its shape is the
-th triangular number.
9514 1404 393
Answer:
10
Step-by-step explanation:
The n-th triangular number is given by ...
t(n) = n(n+1)/2
We went to find n when t(n) = 55.
55 = n(n+1)/2
110 = n(n+1)
Adding 1/4 completes the square.
110.25 = (n +0.5)^2
√110.25 = n+0.5 . . . . . we are interested in the positive value of n
n = 10.5 -0.5 = 10
The triangular number that has 55 dots in its shape is the 10-th number.
__
Additional comment
Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.
A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.
Find the slope and then an equation for each line.
Whats The Correct Answer ?