Answer:
the answer is there should be another digit in the quotient
Answer:
No, because there should be another digit in the quotient
Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4
Answer:
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Step-by-step explanation:
2x² - 3x - 12 = 0
Using the quadratic formula which is
[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
From the question
a = 2 , b = - 3 , c = - 12
So we have
[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Hope this helps you
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
Jane has 34 candles leftover from the last craft show and Brianna
has 2 candles. They are making more candles for the next show.
Jane makes 24 candles per hour and Brianna makes 32 candles per
hour. They are also going to use the candles left over from the last
show and want to have the same number of candles at their stalls for
this show. Let h represent the number of hours they need to work
for this.
Answer:
4 hours
Step-by-step explanation:
Given that the number of leftover candles for Jane = 34
and the number of leftover candles for Brianna = 2
Rate of candle making for Jane = 24 candles/ hour
Rate of candle making for Jane = 32 candles/ hour
As they work for h hours to make candles.
So, in h hours, the number of new candles made by Jane = 24h candles
For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]
Similarly, in h hours, the number of new candles made by Brianna = 32h candles
For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]
As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have
[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]
[tex]\Rightarrow h=32/8=4[/tex] hours.
Hence, both need to work for 4 hours to have the same number of candles.
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?
Answer:
1mph or 1 mile per hour
Step-by-step explanation:
simple
pls help :( plssss plsss pls
Answer:
you can alwayd use desmos for graphing
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/4How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function
Answer:
List all of the solutions.
50 k m =
9 m i n u t e s =
14 k m =
Step-by-step explanation:
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
D. Evaluate each of the following. (5 points)
Let f(x) =x+1/x
1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)
Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
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Find the value of x. Then, find the measure of each labelled angle.
x=_
(7x+10)°=_
(15x+16)°=_
Answer:
x = 7deg
Step-by-step explanation:
7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)
22x = 154
x = 7deg
This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Maya has a dog and it wants to be pet
Answer:
so what is the question?
The quotient of 8 divided by 1/5 will be _____ 8.
Answer:
5
Step-by-step explanation:
Answer:
Less Than :)
Step-by-step explanation:
Example 3.7.4: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares
Answer:
The smallest possible value of the sum of their squares is 128.
Step-by-step explanation:
Let the first number = x
let the the second number = y
x + y = 16
y = 16 -x
minimum value, f = x² + y²
f(x) = x² + (16-x)²
f(x) = x² + 256 - 32x + x²
f(x) = 2x² - 32x + 256
f(x)' = 4x - 32
4x - 32 = 0
4x = 32
x = 32 / 4
x = 8
The absolute minimum value of x = 8
y = 16 - x
y = 8
The smallest possible value of the sum of their squares is given by x² + y²;
= (8)² + (8)²
= 128
Therefore, the smallest possible value of the sum of their squares is 128.
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer
Answer:
<FEA is 70 degrees. It is already given.
7 large tanks and 40 fish in each tanks how many fish on display
Answer:
280
Step-by-step explanation:
All you have to do is 7x4 and look for how many 0's there are in the equation and add them on.
5x-6y=-4
-6x+6y=-6
solve using elimination
HELP.
Answer:
x=10 y=9
Step-by-step explanation:
I need help with these in order!!!
Answer:
See steps below
Step-by-step explanation:
WS ⊥ MH , HS = SM ......... Given
<HSW = <MSW = 90 ..... From WS ⊥ MH
Triangle HWS = Triangle WMS .... SAS theorem
<M = <H .... based on triangle congruency, and angle opposed to equal side WS
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
solve for x -1.5x - 3.1 < 5.5
Answer:
x>-17.2
Step-by-step explanation:
Simplify both sides of the inequality
-0.5x-3.1< 5.5
Add 3.1 to both sides
-0.5x< 8.6
Divided both sides by -0.5
x>-17.2
Hope this helped! :)
Function f is defined by the equation f(x)=x2
What is f(3)
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?
Answer:
hope this helps :)
Step-by-step explanation:
Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.
So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour
Jazmeen can walk 1.25 miles in one hour.
COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]
Write a linear equation for each table relating X and Y
Answer:
a. y = 2 + 2x
b. y = 20 - 4x
c. y = 2 + 1.5x
d. y = 20 - 3x
Step-by-step explanation:
I Hope That This Helps! :)
Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined
Answer:
Exact form: 157/20
Decimal Form: 7.85
Mixed Number Form: 7/17/20
Step-by-step explanation:
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
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geometry is experienced that in the early childhood setting through
playing with blocks??
Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Answer:
The maximum amount of apples she could buy is 7
Step-by-step explanation:
3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.