Answers
This is the same as saying x = 3 and x = 7.
========================================
Work Shown:
Plug x = 3 into f(x)
f(x) = (1/2)*|x-3| + 3
f(3) = (1/2)*|3-3| + 3
f(3) = 0.5*|0| + 3
f(3) = 0.5*0 + 3
f(3) = 0 + 3
f(3) = 3
-----------------------
Plug x = 5 into f(x)
f(x) = (1/2)*|x-3| + 3
f(5) = (1/2)*|5-3| + 3
f(5) = 0.5*|2| + 3
f(5) = 0.5*2 + 3
f(5) = 1 + 3
f(5) = 4
-----------------------
Plug x = 7 into f(x)
f(x) = (1/2)*|x-3| + 3
f(7) = (1/2)*|7-3| + 3
f(7) = 0.5*|4| + 3
f(7) = 0.5*4 + 3
f(7) = 2 + 3
f(7) = 5
-----------------------
Plug x = 3 into g(x)
g(x) = sqrt(x-3) + 3
g(3) = sqrt(3-3) + 3
g(3) = sqrt(0) + 3
g(3) = 0 + 3
g(3) = 3
-----------------------
Plug x = 5 into g(x)
g(x) = sqrt(x-3) + 3
g(5) = sqrt(5-3) + 3
g(5) = sqrt(2) + 3
g(5) = 1.414214 + 3
g(5) = 4.414214 ..... which is approximate
-----------------------
Plug x = 7 into g(x)
g(x) = sqrt(x-3) + 3
g(7) = sqrt(7-3) + 3
g(7) = sqrt(4) + 3
g(7) = 2 + 3
g(7) = 5
-----------------------
To summarize everything, refer to the table below.
The rows highlighted in yellow refer to when f(x) = g(x)
This happens twice when x = 3 and x = 7
If x = 3, then f(x) = g(x) = 3
If x = 7, then f(x) = g(x) = 5
Therefore, x = 3 and x = 7 are two solutions to f(x) = g(x)
Related Questions
Please if you know plz tell me ;(
Answers
the images go in order to the graph
A(-6,-2) B(-4,4) C(8,1) D(6,-6)
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer: 53.33
Step-by-step explanation:
60 + 9x =540
540-60 = 480
480 = 9x
53.33 = x
What should be done to both sides of the equation in order to solve -5m=-40
Divide by -5
Divide by -40
Multiply by -5
Multiply by -40
Answers
Ravi purchased 3 DVDs for $19.99 each. Find the total cost for the DVDs including 5% GST and 6% PST.
Answers
Answer:
$66.57
Step-by-step explanation:
Cost of one DVD = $19.99
Cost of 3 DVDs = $19.99*3 =$59.97
Rate of GST = 5%
Amount of GST
= 5%* $59.97
= 0.05*59.97
= $2.9985
Rate of PST = 6%
Amount of PST
= 6%* $59.97
= 0.06*59.97
= $3.5982
Total cost of DVDs
= $59.97 + $2.9985 + $3.5982
= $66.5667
= $66.57
find the it out 12 divided by 3/5
Answers
Answer:
20
Step-by-step explanation:
hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe
Answer:
20 Hope this helps!
PLEASE HELP!! AND SHOW WORK OR EXPLAIN PLEASE!! I WILL GIVE BRAINLIEST!!
Answers
Answer:
H) Slope -1/4 and y-intercept -1.5
Step-by-step explanation:
The slope of the line is determined by the formula :
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]
We can use any two points on the line lets use the ones that are shown, (-6 , 0) and (2 , -2).
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-2-0}{2-(-6)} \\\\m=\frac{-2}{8}\\\\m=-\frac{1}{4} \\[/tex]
and the y-intercept is shown in the graph where the line crosses the y-axis
In this case the line crosses the y-axis between -1 and -2 which is -1.5
so the value of slope is -1/4 and the value of y-intercept is -1.5 .So third option is our answer.
Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])
Answers
Step-by-step explanation:
Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])
Given
first term a1 = -2
second term a2 = 2
We are to get the first 8 terms. Given the sequence
a[n]=a[n-2](3-a[n-1])
a[3]=a[3-2](3-a[3-1])
a[3]=a[1](3-a[2])
a[3]=-2(3-2)
a3 = -2
a[n]=a[n-2](3-a[n-1])
a[4]=a[4-2](3-a[4-1])
a[4]=a[2](3-a[3])
a[4]=2(3+2)
a4= 10
a[5]=a[n-2](3-a[n-1])
a[5]=a[5-2](3-a[5-1])
a[5]=a[3](3-a[4])
a[5]=-3(3-10)
a5 = -3(-7)
a5 = 21
a[6]=a[n-2](3-a[n-1])
a[6]=a[6-2](3-a[6-1])
a[6]=a[4](3-a[5])
a[6]= 10(3-21)
a6 = 10(-18)
a6 = -180
a[n]=a[n-2](3-a[n-1])
a[7]=a[7-2](3-a[7-1])
a[7]=a[5](3-a[6])
a[7]= 21(3+180)
a7 = 21(183)
a7 = 3,843
a[8]=a[n-2](3-a[n-1])
a[8]=a[8-2](3-a[8-1])
a[8]=a[6](3-a[7])
a[8]=-180(3-3843)
a8 = -180(-3840)
a8 = 691,200
Craig works at a restaurant for 21 hours in January. at this rate, how many hours will he work after 7.5 months?
Answers
Answer:
around 4725
Step-by-step explanation:
Answer:
157.5 hours
Step-by-step explanation:
If Craig continued to work 21 hours for 7.5 months he would work a total of 157.5 hours.
Why?
Because if you multiply 21 seven times you get a total of 147 hours, but we still have the .5 of the month so take 21 and divide it by 2 which gives us 10.5 hours.
When you have both you outcomes ready you add 147 and 10.5 hours
Which gives us 147+10.5=157.5 hours.
Good luck :)
Real World Systems
1. Members of a drama club spend $795 on T-shirts and sweatshirts for a play. They purchase 20 more T-shirts than
sweatshirts. They buy T-shirts for $12 each and sweatshirts for $25 each.
How many T-shirts do the drama club members buy?
A
15 T-shirts
B.
21 T-shirts
с
22 T-shirts
D.
35 T-shirts
Answers
which equation is equivalent to the formula below?
Y = A ( X - H) ^2 + K
Answers
Answer:
B. a = y - k/(x-h)²
Step-by-step explanation:
Given the expression y = a (x-h)² + k
First make a the subject of the formula
Subtract k from both sides
y = a (x-h)² + k
y- k = a (x-h)² + k - k
y - k = a (x-h)²
Divide through by (x-h)²
y - k/(x-h)² = a
a = y - k/(x-h)²
Hence option B is correct
Answer:
a=y-k/(x-h)^2
Need answers to three questions in picture will give brainly
Answers
Answer:
3. the answer is A3
Step-by-step explanation:
you do 3x-1 and you get 3
Answer:
3. B
4. J
5. C
¿Cuántas placas diferentes de autos se pueden formar con 3 letras, seguidas de 4 números del 0 al 9? Considere que el alfabeto letras. cuenta con 27
Answers
Answer: Se pueden hacer 196,830,000 placas distintas.
Step-by-step explanation:
Cada placa va a tener 3 letras y 4 números.
Lo primero que tenemos que hacer es contar el numero de opciones que tenemos para cada selección, donde las selecciones van a ser.
Primera letra, segunda letra, tercera letra, primer numero, etcétera.
Entonces.
Para la primera letra tenemos 27 opciones.
Para la segunda letra también tenemos 27 opciones.
Para la tercera letra también tenemos 27 opciones.
Para el primer numero tenemos 10 opciones (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
para el segundo numero también hay 10 opciones.
Para el tercer numero también hay 10 opciones.
Para el cuarto numero también hay 10 opciones.
El numero total de posibles combinaciones va a ser igual al producto de todos los números de opciones, en este caso es:
C = 27*27*27*10*10*10*10 = 27^3*10^4 = 196,830,000
Se pueden hacer 196,830,000 placas distintas.
A number is multiplied by 2, and then the product is added to 9. The result is 49
Answers
Answer:
the answer would be twenty
Step-by-step explanation:
20x2=40 +9=49
49=49
How to post a answer so people can see it
Answers
Consider the following number line. What is the sign of B+A
A. Positive
B. Negative
C. Neither positive nor negative- the sum is zero.
PLEASE ANSWER NOW ITS DUE IN MINUTES THE TEST
Answers
Answer:
c
Step-by-step explanation:
im 95% sure
Belle's dad lends her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.
Answers
The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.
Given :
Belle's dad lends her $10. Then Belle borrows another $15 from him.
The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:
Step 1 - Let the total amount of money Belle's dad have be 'x'.
Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:
= x - 10b
Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:
= x - 10 - 15
Step 4 - Simplify the above expression.
= x - 25
So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).
For more information, refer to the link given below:
https://brainly.com/question/13101306
Please help answer the first 3 boxes for brainslt
> for brainslt
Answers
y=mx+b
1st one:
m=-3 b=-2
Not sure for proportional
Negative Slope
2nd one:
m=15 b=0
Proportional
Positive Slope
3rd one:
m=-4/3 b=8
Not sure proportional or not
Negative Slope
Answer:
Work shown below!
Step-by-step explanation:
y = -3x - 2
m = -3
b = -2
Non-proportional because it doesn't pass through the origin
Negative Slope
y = 15x
m = 15
b = 0
Proportional because it passes through the origin
Positive Slope
y = -4/3x + 8
m = -4/3
b = 8
Non-proportional because it doesn't pass through the origin
Negative Slope
Antonio completed the right column of the table to help him find the sum of 2/ and 1/5.
In which step did his first error occur?
Step ( )
Answers
Answer:
Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.
Step-by-step explanation:
In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.
The given fractions are:
[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]
The common denominator is the number which is the multiple off denominators of both fractions involved.
Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.
The correct method is:
[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]
Hence,
Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.
A recipe for chocolate chip cookies calls for 4 cups of flour and 3 tablespoons of brown sugar. How many tablespoons of brown sugar would be needed if the amount of flour were increased to 12 cups? PLZ i'll pay well
Answers
Answer:
it will be increased to 6 tablespoons more so it will be 9 tablespoons in total
Step-by-step explanation:
12 divided by 4 is 3
so 3 x 3 is 9
9 tbsp i total of brown sugar
Choose the right answer.
A box and whiskers chart dlvides a data set Into
equal parts called quartiles.
2
4
3
Answers
A box and whiskers chart divides the data set into 4 equal parts called quartiles. (second option)
What is a box and whiskers chart?A box and whiskers chart is used to study the distribution and level of a set of scores. The values are distributed into 4 groups. Each group has a value of 25%
The whiskers represent the minimum and the maximum values. On the box, the first line to the left represents the lower quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.
To learn more about box plots,. please check: https://brainly.com/question/27215146
#SPJ1
What is the solution to 2x-8 <12
Answers
Step-by-step explanation:
2x-8<12
+8<+8
2x<20
[tex] \frac{2x}{2} \frac{20}{2} [/tex]
x<10
A recent Gallop poll showed that 672 of 1019 adults nationwide think that marijuana should be legalized. a) Find the margin of error that corresponds to a 95% confidence interval.
Answers
Answer:
the margin of error is 0.029
Step-by-step explanation:
The computation of the margin of error is as follows;
Point estimate = sample proportion
[tex]= \hat p[/tex] = x ÷ n = 672 ÷ 1019 = 0.659
Now
= 1 - [tex]\hat p[/tex]
= 1 - 0.659
= 0.341
[tex]Z\alpha/2[/tex] = Z_0.025 = 1.96
Now
a) Margin of error = E is
[tex]= Z\alpha / 2 \times \frac{((\hat p \times (1 - \hat p ))}{(\sqrt / n)} \\\\= 1.96 (\sqrt \frac{ (0.659 \times 0.341)}{(1019)} \\\\= 0.029[/tex]
Hence, the margin of error is 0.029
Solve for A if is 3.14 and R = 3
Answers
Answer:
A = 28.26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Equation: A = πr²
Given: π = 3.14, r = 3
Step 2: Evaluate
Substitute: A = 3.14(3)²Exponents: A = 3.14(9)Multiply: A = 28.26HELPPPP IM GIVING BRANLEISTTTT PLESE HURRY ITS DUE IN 20 minssss!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
B. -3,4
Step-by-step explanation:
1. Choice D
2. Choice C
3. Choice B
4. Choice B
5. Choice C
Number 12 help please it’s a short answer
Answers
Answer:
Reactants: aluminum and copper chloride.
Products: copper and aluminum chloride.
Step-by-step explanation:
Let's consider the following equation.
aluminum + copper chloride ⇒ copper + aluminum chloride
Using chemical symbols, this would be:
2 Al + 3 CuCl₂ ⇒ 3 Cu + 2 AlCl₃
The substances to the left of the arrow are the reactants: aluminum and copper chloride.
The substances to the right of the arrow are the products: copper and aluminum chloride.
Find the value of X. I can't figure out what to do when one is at a right angle.
Answers
Answer:
x = 20
Step-by-step explanation:
Two lines are parallel. So, alternate interior angles are congruent.
x +8 + 6x - 58 = 90
7x - 50 = 90
7x = 90 +50
7x = 140
x = 140/7
x = 20
Write an equation for the n th term of the arithmetic sequence -7 -2 3 8
Answers
So 5n-12
Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions
Answers
Answer:
(5 , 11)
Step-by-step explanation:
[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]
There are three ways to solve the systems of linear equations
1) Elimination method - where we add/subtract the equations to eliminate the variable
2) Substitution method - where we substitute one variable in the form of another variable
3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution
We use the second method the Substitution method which is the easiest in my opinion.
Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:
[tex]3x-4=\frac{2}{5}x+9[/tex]
as you can see here we eliminated the variable y by substituting y in terms of x.
Now we just solve the equation algebraically
[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]
The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1
[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]
so the solution of the system of linear equations is (5 , 11)
HELP ME ASAP PLEASEEEE
Answers
Answer:
she makes 22 cookies batches
Step-by-step explanation:
22*3=7 2/3
7 2/3 / 3 = 22