[tex]5+2\sqrt{5} , 5-2\sqrt{5}[/tex] Answer: 5±2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
x2 -10x=5=0
x2-10x+25=-5+25
(x-5)(x-5)=20
[tex](x-5)^{2} =\sqrt{20}[/tex]
[tex]\sqrt{x-5}=\sqrt{20}[/tex]
x-5=±[tex]\sqrt{20[/tex]
x=5±[tex]\sqrt{5*4[/tex]
x=5±2[tex]\sqrt{5}[/tex]
Consider the expression 103 x 0.006. a) What is the exponent in the power of 10? [ Select ] b) How many factors of 10 are in 103? [ Select ] c) How do your answers to the last two questions relate to one another? [ Select ] d) What is the value of 103 x 0.006? [ Select ]
Solution :
Given that the expression is :
[tex]$10^3 \times 0.006$[/tex]
This can be written as,
[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]
[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]
[tex]$\Rightarrow 10^0 \times 6$[/tex]
a). Therefore the exponent in the power of 10
= 0
b). Factors of 10 in [tex]$10^3$[/tex]
= 10 x 10 x 10
= 1000
= [tex]$10^3$[/tex]
So there are 3 factors of 10 in [tex]$10^3$[/tex]
c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.
But in part a), we are finding exponent in the power of 10 in the expression which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.
d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.
Hi! whats 6666666 × 727272772
Answer: 4.8484847e+15
Step-by-step explanation:
Answer:
6666666 × 727272772 = 4,848,484,661,818,152
62b=144 solve for the variable show your work
Please help
Answer:
b= 2 10/31
Step-by-step explanation:
You need to divide 62b by 62 so you can find the value of b.
When you do anything to one side, you have to do it to the other.
62b=144
/62 /62
b= 2 10/31
Is 9.008 greater than 9.080
Answer:
no
Step-by-step explanation:
9.080 is greater
Hi. Please i need help with these . No jokes .
Question b : Find ;
the values of
1.alpha³+beta³ and 1/(alpha³) +1/(beta³)
2. the the equation whose roots are alpha³ and beta ³
9514 1404 393
Answer:
(a) 2, 6
(b) 155/8, -155, 8x² -155x -1 = 0
Step-by-step explanation:
(a) The equation in standard form is ...
x^2 -(4+k)x +4k +1 = 0
Then the discriminant is ...
(4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)
The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.
__
(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)
= (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³
1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³
The desired equation can be written from ...
(x -a^3)(x -b^3) = 0
x^2 -(a^3 +b^3)x +(ab)^3 = 0
x^2 -155/8x -1/8 = 0 . . . . .substituting known values
8x^2 -155x -1 = 0
Evaluate: 4
4.[22 -(1 +0.5)
Answer:
82
Step-by-step explanation:
Answer:
20.5
Step-by-step explanation:
glad i could help!
Choose ASA, SAA, or neither
to describe this figure.
A
B
ASA
SAA
neither
Answer:
SAA
Step-by-step explanation:
there is a side, and vertical angles equal eachother so it would be SAA
Will give crown help
Answer:
5,1,-3,-7
Step-by-step explanation:
y=-4x+1
if x is -1,
-4(-1)+1 or 4+1 or 5.
Following,
5,1,-3,-7
Hope this helps plz hit the crown :D
56 gallons to 77 gallons
Answer: it would be +21 gallons
Step-by-step explanation:you have to add 21 gallons to get 77 gallons
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.
Answer:
If you're on edge and it's the multiple choice one it would be a
Sammi believes that 0.3 repeating is a rational number. Is Sammi correct?
Answer: Yes, Sammi is correct because although it is repeating, it is expressible as a ratio of 2 integers.
I hope this helps!
Step-by-step explanation:
420-69+80085+5318008
Will give brainliest
Answer:
The answer is 5398444
Answer:
420−69+80085+5318008
=5398444
Step-by-step explanation:
evaluate : 7^4×7^5×7^-9
pls solve to get brainiest
Answer:
1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1
Given
[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]
= [tex]7^{(4+5-9)}[/tex]
= [tex]7^{0}[/tex]
= 1
Sunny's Surf Shop sold 160 surfboards this week, which was 320 percent of the number of surfboards sold last week. How many surfboards did Sunny's Surf Shop sell last week? O 16 O 50 O 160 512
Let, the number of Surfboards sold last week = x
Then, x * 320% = 160
x * 3.20 = 160
x = 160/3.20
x = 50
In short, Your Answer would be Option B
Hope this helps!
(no need to give brainliest) :)
Answer:
The answer would be B, 50.
Find the -intercept and -intercept of the line.
3x-7y=-21
x-intercept
y-intercept
x intercept (- 7,0)
y intercept (0,3)
A dog lost 2 pounds three weeks in a row. What integer expresses the total change in the dogs weight
Answer:
-6 is the integer
Step-by-step explanation:
please help me out!!! i have to pass this test
Answer: 126!
Step-by-step explanation: I subtracted 180-54, because a triangle should always equal 180.
On a coordinate plane, a graph of a floor function has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (5, 5) to (6, 5).
Use the graph of the floor function to complete the statements.
Over the interval
, y = 2.
For an input value of –1.5, the corresponding output value is
Answer: Over the interval x = 2≤ x <3, y = 2.
For an input value of –1.5, the corresponding output value is -2
Step-by-step explanation: Easier to find the information of you make a sketch of the graph described. (Good description!)
To find the value, look at the graphed segments that correspond to the given values.
X represents input values, Y represents output values.
Answer:
Over the interval
✔ [2, 3)
, y = 2.
For an input value of –1.5, the corresponding output value is
✔ –2
.
Step-by-step explanation:
edge2020
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
20 POINTS!!!What is the solution to the system that is created by the equation Y = 2x+ 10 and the graph shown below?
(-8,-6)
(-4,-2)
(0,2)
(2,4)
Answer:
(-8,-6)
Step-by-step explanation:
Answer:
So... the factored answer is -5(7+x) Simplified it is -35-5x
Step-by-step explanation:
Calculate the sum then factor! Hope this helps :D
Gary drank
4
5
liter of water Monday before going jogging. He drank
2
3
liter of water after his jog. How much water did Gary drink altogether? Write your answer as a mixed number.
Answer:
1 7/15
Step-by-step explanation:
4/5 = 12/15
2/3 = 10/15
12/15 + 10/15 = 22/15 or 1 7/15
The total charge for a taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2
mile traveled. The ride cost him $56.75. How many miles did he travel in the taxi?
Answer:
12 miles
Step-by-step explanation
56.75 - 2.75 = 54
1/2(54/2.25)
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answer:
460
Step-by-step explanation:
Which of the following inequalities orders the numbers
0.2, 0.03, and 1/4 from least to greatest?
Answer:
0.03, 0.2, 1/4
Explanation:
The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The numbers are given below.
0.2, 0.03, and 1/4
Convert all the numbers into fraction numbers.
0.2, 0.03, and 0.25
Then the inequalities orders the numbers from least to greatest numbers will be
0.03 < 0.2 < 0.25
The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ6
I have to draw the graph this time so if someone can show me the graph what it would look like on a piece of paper or draw it for me I will give you triple the points but if you don’t know it don’t type I’ll I’ll have to report you!!!
Answer:
Hope this helps! :D
What is the solution to the equation 4x + 8= -2 - 2 + 5x
Have?
Two
One
None
Invinitely many
Answer:
one solution
Step-by-step explanation:
4x + 8 = -2 -2 + 5x
4x + 8 = -4 + 5x
4x - 4x + 8 = -4 + 5x - 4x
8 = -4 + 5x - 4x
8 = -4 + x
8 + 4 = -4 + 4 + x
12 = x
1. A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are:
(3, -2), (3, 4), and (−3, 4).
The city planner wants to put a tree at the orthocenter of the park. What are the coordinates of the tree?
2. The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the tree?
3. picture below
Answer:
Download Socratic it has all the information you need
What is the domain of f(x)=
10x1-(4)
?
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
A woman is 5ft tall and her shadow is 4ft king. A nearby tree has a shadow of 30 ft long. How tall is the tree
Answer:
37 feet and 5 inches
Step-by-step explanation:
Answer: 40 ft tall
Step-by-step explanation:
you would mutiply it
Driving 288 miles in 4 hours is a total rate of blank miles per hour. Need it fast
Answer:
Step-by-step explanation:
288 divided by 4 = 72
72X4=288
Hope it helps