Answer:
The quotient is : x+9
The remainder is : 13
Step-by-step explanation:
The question requires you to perform the long division method;
This will be;
[tex]x-2\sqrt{x^2+7x-5}[/tex]
start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;
x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x
- x²-2x+0 ------------perform subtraction of like terms
---------------------
9x-5 ----now divide this answer by x-2 ,starting with x and 9x
----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;
9x-5
- 9x-18
------------------------
13
So the answer will be; x+9 remainder 13
a line passes through the point (0,-4) and has a slope of 3/2. what is equation of the line?
Answer:
[tex]y=\frac{3}{2}x-4[/tex]
Step-by-step explanation:
Use the equation of a line: y=mx+b.
First, plug in all of the values that you know. In this case, we are given x, y, and m (the slope).
[tex]y=mx+b\\-4=(\frac{3}{2})(0)+b\\-4=b[/tex]
Now that we have the b value, we can create the equation:
[tex]y=\frac{3}{2}x-4[/tex]
Is everything correct and how do you do the last part?
Answer:
5 terms
Step-by-step explanation:
Yes, that's correct. For the last part, set b₊₁ less than or equal to the error.
1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005
5ⁿ⁺¹ (n+1)! ≥ 200,000
Use trial and error to find the value of n (notice that n starts at 0).
n = 0, 5ⁿ⁺¹ (n+1)! = 5
n = 1, 5ⁿ⁺¹ (n+1)! = 50
n = 2, 5ⁿ⁺¹ (n+1)! = 750
n = 3, 5ⁿ⁺¹ (n+1)! = 15,000
n = 4, 5ⁿ⁺¹ (n+1)! = 375,000
n = 4 is the fifth term. So it takes 5 terms.
Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.
Answer:
a) ( D - 128 ) = m ( 1,5 - 0)
b) D = 62*h + 128
Step-by-step explanation:
Fabio drives at a constant speed of 62 miles per hour therefore:
62 * 1,5 = 93 miles
But he is 221 miles away from Albany, then he started
221 - 93 = 128 miles from Albany
In a coordinates system D (distance in the y-axis ), and h ( hours in x-axis), we have two points
h₁ = 0 (h) D (y intercept) = 128 miles and h = 1,5 (h) D = 221 miles
P₁ ( 0 , 128 ) P₂ ( 1,5 , 221 )
Then the equation for straight-line passing through two points is:
m = ( D - D₁ ) / ( h - h₁ )
( D - D₁ ) = m ( h - h₁ )
a) ( D - 128 ) = m ( 1,5 - 0)
And
b) m = 93/ 1,5
m = 62
And
b) D = mh + b
D = mh + D₁
D = 62*h + 128
a)
The equation is:
[tex]D - 221 = 62(h - 1.5)[/tex]
b) Initially, he was 128 miles away from Albany.
Item a:
Fabio is traveling from Albany to Buffalo, and his distance D from Albany after h hours is modeled by a linear function in the following format:
[tex]D - D_1 = m(h - h_1)[/tex]
We have that:
Velocity of 62 miles per hour, thus the slope is [tex]m = 62[/tex].After 1.5 hours, he is 221 miles away from Albany, thus the point is [tex]h_1 = 1.5, D_1 = 221[/tex].The equation is:
[tex]D - D_1 = m(h - h_1)[/tex]
[tex]D - 221 = 62(h - 1.5)[/tex]
Item b:
The initial distance is D when h = 0, so:[tex]D - 221 = 62(0 - 1.5)[/tex]
[tex]D = -1.5(62) + 221[/tex]
[tex]D = 128[/tex]
Initially, he was 128 miles away from Albany.
A similar problem is given at https://brainly.com/question/16302622
which of the following must be true to prove abc = def by the aas the theorem
2 (-4x + 2)
What does this equal
Answer:
-8x+4
Step-by-step explanation:
Answer:
-8x+4
Step-by-step explanation:
-8x-10 y= 24
6.0 + 5y = 2
(-16)-10y=24
-10y=24+16
this steps has been cropped in the pic
so try to understand
hope you like the answer
please mark as brainlist
What is the solution set for the inequality 3(5- x)<5x-17
Answer:
The answer is : x>4
Step-by-step explanation:
3(5-x)<5x-17
15-3x<5x-17
-3x-5x<-17-15
-(3x+5x)<-(17+15)
3x+5x>17+15
8x>32
x>[tex]\frac{32}{8}[/tex]
x>4
if the circumference of a circle is 221cm find the area of the circle
Answer:
first find the radius of the circle r^2=221/22/7 then find the area
Answer:
3885.93 cm² or 3886.64 cm²
Step-by-step explanation:
Hello!
Circumference of a Circle: [tex]C = 2\pi r[/tex]
We first have to find the radius. To do so, we can plug in 221 for "C" and isolate "r".
Find the Radius[tex]C = 2\pi r[/tex][tex]221 = 2\pi r[/tex][tex]110.5 = \pi r[/tex][tex]35.1732424233 = r[/tex][tex]r \approx 35.17[/tex]Area of a Circle: [tex]A = \pi r^2[/tex]
Now that we have the radius, we can use it to find the area using the area formula.
Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (35.17)^2[/tex][tex]A = \pi(1,236.9289)[/tex][tex]A = 3,885.9267452529[/tex][tex]A \approx 3,885.93[/tex]The area is approximately 3885.93 cm².
If we used the full number (all decimals given by the calculator), you would have an answer around 3886.64.
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
The Lovin lemon company sells a 4 gallon jug of lemonade for $24 dollars. The sweet and Sour company sells an eight pack of 1 quart bottles of lemonade for $16 dollars, which company has a higher unit price?
Answer:
lovin lemon co. sells 1 gallon for 24/4 = $6
sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8
What is the difference between 7.20 dollars and 2.70 dollars In unit prices
Answer:
7.2-2.7=x Doo the math buddy
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Answer:
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Step-by-step explanation:
it is 439.85
Please guys I need help with this
-4 1/2-(-2 2/3) worked out pls help if someone dosen`t answer i might fail pls
Answer:
The answer is -11/6
Step-by-step explanation:
What's the Constant of Proportianlity/Unit Rate?
Answer:
1/3 cup of juice per cup of berries
Step-by-step explanation:
The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate
(4/3) cups
------------------------ = 1/3 cup of juice per cup of berries
4 cups berries
How do I solve for x?
Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
There are 7 roses in a vase of 15 flowers. The rest are daisies. (a) What is the ratio of daisies to roses? (b) What is the ratio of all flowers in the vase to daisies?
Answer: 8 to 7 and 15 to 8
Step-by-step explanation:
We can conclude that -
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that there are 7 roses in a vase of 15 flowers. The rest are daisies.
We have 7 roses in a vase of 15 flowers. The rest are daisies.
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8Therefore, we can conclude that -
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8To solve more questions on ratios, visit the link below -
https://brainly.com/question/1504221
#SPJ5
Identify the number of decimal places in each factor.
0.47
× 3.2
The number of decimal places in 0.47 is .
The number of decimal places in 3.2 is .
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have decimal places.
Answer:
Step-by-step explanation:
Identify the number of decimal places in each factor.
0.47
× 3.2
The number of decimal places in 0.47 is
✔ 2
.
The number of decimal places in 3.2 is
✔ 1
.
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have
✔ 3
decimal places.
How do you do this question?
================================================
Explanation:
Choice A is true assuming we have [tex]a_n = (-1)^n*b_n[/tex]
In this case, [tex]a_n = (-1)^n*\frac{1}{\sqrt{n}}[/tex] and [tex]b_n = \frac{1}{\sqrt{n}}[/tex]
--------
Choice B is false. See choice A above.
--------
Choice C is true. The sequence [tex]\{b_n\}[/tex] is decreasing. As n gets larger, [tex]b_n[/tex] gets smaller. This is because the denominator is growing larger with the numerator held constant.
--------
Choice D is false. This contradicts choice C.
--------
Choice E is true since the denominator is growing forever
This is similar to [tex]\displaystyle \lim_{n \to \infty} \frac{1}{n} = 0[/tex]
--------
Choice F is true due to choices C and E being true.
--------
Choice G is false because it contradicts choice F.
If 3t^2 and -4t are multiplied, the product
Is
Answer:
-36
bc my brain say write dis
5/6 divided by _____=5/36
6 divided by 1.
Step-by-step explanation:
5/6 divided by 6/1 will give 5/6* 1/6 = 5/36
Which of the following is a rational number?
A
136
B.
-V12
lo
D
TT
Johnathan bought a new computer for $1,716 using the electronics store’s finance plan. He will pay $143 a month for 12 months. What equation can he use to find out how much money he still owes after each month of the plan?
Answer:
1,1716 + 143(12)
Step-by-step explanation:
i believe that is correct hope I helped you!
A bamboo tree grew 3 in. Per day. Write and solve an equation to find how many days d it took the tree to grow 144 in. What is the equation
Answer:
144 divided by 3 = d (number of days)
Step-by-step explanation:
Answer:
Equation: 3d=144
Solution: 48 days
Step-by-step explanation:
Since it grown 3 in. per day and it grew 144 in.
U have to divide the 2 numbers
3d=144
d=144/3
d=48 days
(d=how many days)
For the function, f(x)=1/4x-2, find x if f(x)=-1
f(x) = 1/4x-3
When f(x) = -1,
= 1/4(-1)-3
= -13/4
Answer
-2.25
Step-by-step explanation:
(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25
I really need help ASAP. plz
Answer:
1--- x > 5 #4
2----x< 7 #3
3----x< 6 #2
4----x> 6 #1
Step-by-step explanation:
I googled the answers and the graphs look like they match up. Double check ok
Complete the square for the following expression
and write the resulting expression as a binomial squared.
x² + 8x +_____=(_____)^2
Answer:
16, x+4^2
Step-by-step explanation:
To find the perfect square with an A factor of 1, just double the next number.
hiw many 2/3 are in 2 1/3
Answer:
3.5
Step-by-step explanation:
2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.
Answer:
there are 3 2/3 in 2 1/3 with 1/3 left over
Step-by-step explanation:
Hope this helps.
Have a nice day :)
Can you give me brainliest plz :)
Total volume of tree?
Answer:
9,000 cubic feet (250 m3) of wood in the branches.
Step-by-step explanation:
Simultaneous liner equations
X+y=20
22x+12y=300
The answer is x=6 and y=14
I just need the steps
Answer:
You already know the answers
Step-by-step explanation:
I did the work to show you how i got there. It took a little time to get there, if you don't understand how i got there, then don't be afraid to ask me a question
