Answer:
x = - 2 -[tex]\sqrt{15\\[/tex]
x = - 2 + [tex]\sqrt{15[/tex]
Step-by-step explanation:
The given equation needs to be solved by completing the squares.
The required values are -2+√15, -2-√15
Completing the squaresThe given equation is [tex]x^2+4x-11=0[/tex]
The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]
Comparing with the given equation we have
a = 1
b = 4
c = -11
Rearranging the equation
[tex]x^2+4x=11[/tex]
Finding (b/2)²
[tex](\dfrac{4}{2})^2=4[/tex]
Adding to both sides of the equation
[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]
Learn more about completing the squares:
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A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
Answer:
$5768.1
Step-by-step explanation:
Given data
Cost price= $13,000
Depreciation= 15%
Time= 5 years
The expression for the depreciation is given below
A= P(1-r)^t
Substitute
A=13000(1-0.15)^5
A=13000(0.85)^5
A=13000*0.4437
A=$5768.1
Hence after 5 years, the car will be $5768.1
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader
Answer:
6.67 yards
Step-by-step explanation:
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?
Please note that:
1 foot = 0.333 yard
20 feet = x yards
Cross Multiply
1 foot × x yards = 20 feet × 0.333 yards
x yards = 20 feet × 0.333 yards/1 foot
x yards = 6.66667 yards
Approximately = 6.67 yards
Therefore, the measurements in yards is 6.67 yards.
i tried but i don't know if i did this correctly.
Answer:
Step-by-step explanation:
Sorry I dont know
Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. What was the total amount of gasoline Michael used?
Answer:
11/40 of a gallon
Step-by-step explanation:
The amount of gasoline in the tank of lawn mower = 3/8 of a gallon
Then he put the amount of gasoline in the tank = 4/10 of a gallon
The total amount of gasoline filled in the tank = 3/8 + 4/10
= 3/8 + 2/5
= 15+16/40
= 31/40
The total amount of gasoline filled in the tank = 31/40
The amount of gasoline left in the tank after mowing = 2/4
Total amount of gasoline Michael used = 31/40 - 2/4
= 31-20/40
= 11/40 of a gallon
Alternatively, you can follow this method:
Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)
= 3/8 + (2/5 - 2/4)
= 3/8 + ( 8-10/20)
= 3/8 + (-2/20)
= 3/8 + (-1/10)
= 3/8 - 1/10
= 30-8/80
= 22/80
= 11/40 of a gallon
Total amount of gasoline Michael used = 11/40 of a gallon
Help me on this please
Answer:
c
Step-by-step explanation:
CAN SOME0NE PLEASE HELP MEEE ASAP!!
Answer:
[tex]x = 35.6[/tex]
Step-by-step explanation:
It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.
[tex]\frac{KL}{FE}[/tex]
[tex]=\frac{55}{17}[/tex]
Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.
[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]
[tex]x = \frac{605}{17}\\\\x=35.6[/tex]
Answer:
IJ ≈ 35.6
Step-by-step explanation:
Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values
[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )
17 IJ = 605 ( divide both sides by 17 )
IJ ≈ 35.6 ( to the nearest tenth )
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
0
Step-by-step explanation:
Cual es la fuerza de 225n y 165n
Answer: 225 N + 165 N = 3.90×10.
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat has a perimeter of 36 feet. The length of the msg is twice the width . What is the area, in square feet of the mat?
Answer:
18
Step-by-step explanation:
;)
True or false
(Question in the picture)
Answer:
False
48° + 77° + 66° ≠ 180°
Step-by-step explanation:
using the da tat shown on the table, which statements are correct
Answer:
C
Step-by-step explanation:
At a track meet, eight runners are running the 200 m dash. Assuming no ties, how
many ways can the first three finishers come in?
Answer:
6
Step-by-step explanation:
1. One comes first, two comes second, and three comes last.
2. one comes first, two comes last, and three comes second.
3. One comes second, Two comes first, and three comes last.
4. One come last, Two comes first, and three comes second.
5. One comes second, Two comes last, Three comes first.
6. One comes last, Two comes second, and Three comes first.
write an equation for the following problem
Answer:
x+68=90 degrees
Step-by-step explanation:
Answer:
90-68 or 68+22
Step-by-step explanation:
this works becuz it is a 98 degree angle
Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.
Answer:[tex]60+0.75x[/tex]
Step-by-step explanation:
Given
Veronica charges $60 for each tutoring session
Also, there is an additional charge of $0.75 per mile
Suppose she drive x miles and the total cost is represented by C
the additional cost of driving is [tex]0.75\times x=0.75x[/tex]
[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost
[tex]\Rightarrow C=60+0.75x[/tex]
A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?
What is the value of x rounded to the nearest hundredth?
Question 3 options:
6
8
7
5
Answer:
I think 5 could be wrong tho
Step-by-step explanation:
4x4+3x3=25
✓25
5
simplify (27x^6y^3)1/3
Answer:
9(x^6)(y^3)
Step-by-step explanation:
6) Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty metres long and twenty-six metres wide. What is the perimeter of the field in kilometres?
Answer:
the perimeter of the field in kilometers is 112 km
Step-by-step explanation:
The computation of the perimeter of the field in km is shown below:
As we know that
Perimeter is
= 2(length + width)
= 2(30 + 26)
= 2 (56)
= 112 km
Hence, the perimeter of the field in kilometers is 112 km
whats the answer i need help please
Answer:
fggfdf
Step-by-step explanation:
gfdgdgd
What is the equation and how do you figure it out?
a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Solve by the square root method
5x²-20=0
Answer:
The answer is 2
Step-by-step explanation:
5x² = 20
x² = 4
x = 2
At the Victoria falls in Zimbabwe, 550 000 cubic metres of water flow over the edge every
minute. Calculate how much water flows over the edge in one day. Write your answer in
scientific notation.
792,000,000,0
Step-by-step explanation:
550,000 x 60 = 330,000,00 (To get hourly rate)
330,000,00 x 24 = 792,000,000,0 (To get daily rate)
Hope this helps! :)
Alonzo and Mitra wanted to share a pizza. Mitra ate
1/4
of the pizza, and Alonzo ate
3/4
of the pizza.
How much more pizza did Alonzo eat than Mitra?
Answer: 2/4 more pizzia
Step-by-step explanation: Becuse if Mirtra ate 1/4 of the pizzia then you have 3/4 left and alonzo ate 3/4 of the pizza and if you subtract those the differce ends up to be 2/4.
ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?
Answer:
Company A = $13
Company B = $12.73
Company B
Step-by-step explanation:
To determine the unit cost for each company, divide the price of chocolate by the number of pounds
Unit cost = price ÷ total pounds offered
Company A
$32.50 ÷ 2 1/2
$32.50 ÷ 5/2
$32.50 x 2/5 = $13
Company B
$35 ÷ 2 3/4
$35 ÷ 11/4
$35 X 4/11 = $12.73
$12.73 is less than $13. Company b has a lower price per pound
PLEASE HELP FAST!!!
Emile is a long distance trucker. In one week he drives 750 miles from his home in fort lauderale,FL, to Benson, NC he then drives 2,488 miles to Barstow, CA and continues driving 155 miles to Bakersfield,CA. From there, Emily drives 1,015 miles to Seattle, WA.
Estimate the total distance Emile travels by first rounding each distance to the nearest hundred.
Answer:
4500 miles
Step-by-step explanation:
750 rounded to the nearest hundred is 800. 2,488 rounded to the nearest hundred is 2,500. 155 rounded to the nearest hundred is 200. 1,015 rounded to the nearest hundred is 1,000. So 800+2,500+200+1,000= 4,500
Which function defines (g•f)(x)?
Answer:the Awnser would be d
Step-by-step explanation:
Plato
This relationship represents between f(x) and g(x) :
(g•f)(x) = 5xlog(5x) + 4log(5x) which is correct option(D).
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable.
f(x) = log(5x)
g(x) = 5x + 4
Multiply by f(x) in g(x),
(g•f)(x) = (5x + 4)f(x)
(g•f)(x) = 5xf(x) + 4f(x)
Substitute value of f(x),
(g•f)(x) = 5xlog(5x) + 4log(5x)
Learn more about function here:
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#SPJ5
2. Solve for x, y, and z
Answer:
x=90
y=45
z=45
ok but i am not sure at all please confirm
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
what is 15%of8700 please give the right answer
Step-by-step explanation:
8700x.15 is 1,305. that is your answer