Answers
[tex] : \implies \sf {\big( \sqrt{20 - 8x} \:\big)}^{2} = x^2 \\ \\ [/tex]
[tex]:\implies \sf {20 - 8x} = {x}^{2} \\ \\ [/tex]
Solving quadratic equation :[tex] : \implies\sf{ {x}^{2} + 8x - 20 = 0 } \\ \\ [/tex]
[tex]: \implies\sf{ {x}^{2} + (10 - 2)x - 20 = 0 } \\ \\ [/tex]
[tex]: \implies\sf{ {x}^{2} + 10x - 2x - 20 = 0 } \\ \\ [/tex]
[tex] : \implies\sf{ x(x + 10) - 2(x + 10 )= 0 } \\ \\ [/tex]
[tex] :\implies\sf{( x + 10 )(x - 2)= 0 } \\ \\[/tex]
[tex] : \implies\sf x + 10 = 0 \: or \: x - 2 = 0 \\ \\ [/tex]
[tex]: \implies\sf x = 0 - 10\: or \: x = 0 + 2\\ \\ [/tex]
[tex]: \implies \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}[/tex]
[tex]\huge {\therefore} [/tex] The roots of this equation are -10 and 2.
Answer:
x = -10x = 2I hope this helps!
Related Questions
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
Answers
Answer:
$7.25 at part-time job $9.00 every time lawn mowed so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.please, i need to answer this for tomorrow and i dont get it!
Answers
Answer:
1.72r²
Step-by-step explanation:
total Rectangle area = 4r*2r = 8r²
total circles area = 2(π r²) = 2*3.14*r² = 6.28r²
then:
the area of the shaded region:
= 8r² - 6.28r²
= (8-6.28)r²
= 1.72r²
Answer:
2r²(4 - π)
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of rectangle - area of 2 circles
The rectangle has a length of 4r and a width of 2r , then
A = (4r × 2r) - (2πr²)
= 8r² - 2πr² ← factor out 2r² from each term
= 2r²(4 - π)
What is 4.571428571428571 as a fraction in simplest form?
Answers
Answer:
457/100
Step-by-step explanation:
just move the decimal to the right twice and put a hundred underneath
Todd is traveling to Mexico and needs to exchange 400 US dollars into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?
Answers
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answers
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]
Hence, there are 8 pages you need to read each day.
5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz
Answers
Answer:
A) 12x-4y
Step-by-step explanation:
Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.
9. 1.3(c – 4) ≤ 2.6 + 0.7c
Answers
Answer:
c ≤ 13
I think what was the question tho
Step-by-step explanation:
Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.
Answers
Answer: the answer is $456 and that is correct
Step-by-step explanation:
152×3= $456
the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay
Answers
Answer:
Simon and Sophia payed $3.40 each.
Step-by-step explanation:
5.10/6= 0.85
0.85 dollars per pretzel.
0.85*8= 6.8
Simon and Sophia payed $6.80 together.
6.80/2= 3.4
Simon and Sophia payed $3.40 each.
Answer:
They each pay $3.40.
Step-by-step explanation:
I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!
Find the number, pls show your work!
68 less than 5 times a number is equal to the number. What is the number?
Answers
Answer:
17
Step-by-step explanation:
5x-68=x
5x-x=68
4x=68
x=68/4=17
The info is in the picture
Domain?
Range?
Answers
Answer:
Step-by-step explanation:
7.
Domain : { x | -2 < x < 2 } (x such that x is greater than -2 and less than 2)
Range: { y | 1 < y < 5 } (y such that y is greater than 1 and less than 5)
8.
Domain: { x | x € ℝ } (x such that x is all real numbers)
Range: { y | x € ℝ } (y such that y is all real numbers)
write this number in scientific notation 29,400,000
Answers
Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o
Answers
Answer:
The Answer is (3,2) I took the test on A.P.E.X.
What are the answers to all problems?
Answers
w
Step-by-3s fwefsdfhksvfjhasdfjkayweh cvfkhgjsedfcwjke,shcfv ksajdghmcva sdj,hmcndsafsdfvhkyiuo;p./9;;-0../[]0-9,p9ol8-0.9[,u90yml98kn7b4563v45gcw43qxdc234v543b65ntoumyp,.09/[7pyotiyurtrhsgdf
Could you zoom in. I can't really see it
Anita buys a computer for $391 in a sale. The sale price is 15% less than the original price. Calculate the original price of the computer.
Answers
Answer:
449.65
Step-by-step explanation:
391x.15=58.65
$58.65+$391= 449.65
need answer quick!
Simplify.
[3 × (3 + 10)] × 7
Answers
Answer:
Hey I think I have the Answer 273
Step-by-step explanation:
[3x(3+10)x7]
First add 3+10
Then multiply 3x13
Then 39x7
Then you get 273 Hope this help mark me BRAINLEST!!!! PLZ
HAVE A NICE DAY!!!
Answer: 273
Step-by-step explanation: 1. PEMDAS P=parenthesis E=exponents M=multiplication D=division A=addition S=subtraction
[3 x (3 + 10)] x 7
1. 3 + 10 = 13
2. 3 x 13 = 39
3. 39 x 7 = 273
PLZ MAKE ME BRIANLIEST
IF THIS IS THE WRONG ANSWER IM VERY SORRY
I DOUBLE CHECKED THOUGH SO ITS NOT :P
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answers
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
1/2 x + y = 8 and 2y = x + 14 pls show your work thx
Answers
HEY Keaniiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Simplify
√
150
fully, giving your answer in the form
a
√
b
Answers
Answer:
this is fhe cordecr answer for rhis
[tex]5 \sqrt{6} [/tex]
What is 31.68 - 19.55 =
Answers
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation:
Find an equivalent fraction for each.
Just do one answer
Answers
Answer:
3/100=0.03.
second one.
60/10=6.
Answer:
see below
Step-by-step explanation:
just cross multiply:
10 (x) = 3 (100)
x = 300 / 10
x = 30
same as above, just cross multiply:
100 (x) = 60 (10)
x = 600 / 100
x = 6
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon . What is the correct unit rate? What was Henry's likely error?
Answers
Answer:
What is the correct unit rate?
The correct unit rate = 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
Step-by-step explanation:
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon .
What is the correct unit rate?
The correct unit rate
= 1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
1/5 / 1/10
Henry calculated it : = 1/5 x 1/10 = 1/50
This is wrong.
The correct step is given below
1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?
Answers
Answer:
1.8
Step-by-step explanation:
Graph the linear equation y = 4x - 8
Answers
Answer:
The image is the graph
Step-by-step explanation:
Answer:
Step-by-step explanation:
-8 is the y int and 4 your slope
Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False
Answers
Answer:
a. true
b. false
Step-by-step explanation:
To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a
Answers
Answer:
Step-by-step explanation:
C. Solve for y
Can yall plz help me answer this!!!
Answers
Answer:
d=1
Step-by-step explanation:
distribute 0.5 through the parentheses
3.5d+2=7-1.5d
move variable to the left-hand side and change its sign
3.5d+1.5d+2=7
move constant to the right-hand side and change its sign
3.5d+1.5d=7-2
collect all like terms
5d=7-2
subtract the numbers
5d=5
divide both sides
d=1
A pebble is dropped into a deep well and 3s later the sound of a splash is heard as the pebble reaches the bottom of the well. The speed of sound in air is about 340 m/s. How long will it take fir the pebble to hit the water? How long does is take for the sound to reach the observer? What is the depth of the well? (I need the equation)
Answers
Answer:
[tex]2.89\ \text{s}[/tex]
0.11 seconds
[tex]37.4\ \text{m}[/tex]
Step-by-step explanation:
[tex]t_1[/tex] = Time taken by the pebble to hit the water
[tex]t_2[/tex] = Time taken by the sound to travel to the observer
[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s
[tex]t_1=3-t_2[/tex]
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
[tex]u_s[/tex] = Speed of sound = 340 m/s
The distance traveled by the pebble
[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]
Distance traveled by the sound
[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]
The distance traveled by the sound and the pebble is equal
[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]
Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.
So, time taken by the sound to reach the observer is 0.11 seconds.
Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]
Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]
select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4
Answers
Laura makes a down payment of $2700 on a new car and for 2 years monthly payments of $495 what is the actual cost of the car ?