Answers
Answer:
last option
Step-by-step explanation:
3.9x3 -4.1x2+7.3
Related Questions
Solve for x. Round your answer to the nearest tenth if necessary.
Answers
Answer:
12.6
Step-by-step explanation:
[tex]\frac{84}{87}[/tex] = [tex]\frac{x}{13}[/tex]
cross multiply
87x = 1092
x = 12.6 rounded
Multiply the following rational expressions and simplify the result
Answers
Answer:
Step-by-step explanation:
We have to solve the given expression,
[tex]\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}[/tex]
[tex]\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}[/tex] = [tex]\frac{-y(-9+33y+3y^3)}{100-49y^2}.\frac{7y^2+17y+10}{14y(y+2)}[/tex]
= [tex]\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{7y^2+10y+7y+10}{14y(y+2)}[/tex]
= [tex]\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{y(7y+10)+1(7y+10)}{14y(y+2)}[/tex]
= [tex]\frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{(y+1)(7y+10)}{14y(y+2)}[/tex]
= [tex]\frac{-3y(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14y(y+2)}[/tex]
= [tex]\frac{-3(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14(y+2)}[/tex]
= [tex]\frac{3(3-11y-y^3)(y+1)}{(10-7y)(14(y+2)}[/tex]
Write an equation in point-slope form of the line through point J(-1, 10) with slope -7.
Answers
Answer:
y - 10 = -7 (x + 1)
Step-by-step explanation:
pont = (-1,10) slope = -7
y - 10 = -7 (x + 1)
What's the answer? Also please tell the steps of the solution.
Answers
Answer:
[tex] \rm\displaystyle D) \left (1,3\right)[/tex]
Step-by-step explanation:
well to figure out the point we can consider the following formula:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{m x_{2} + n x_{1} }{m + n} , \frac{m y_{2} + n y_{1} }{m + n} \right)[/tex]
from the given we acquire that,
[tex](x _{1}, y_{1}) = ( - 1,7)[/tex][tex](x _{2}, y_{2}) = ( 4, - 3)[/tex][tex]m : n = 2 : 3[/tex]therefore substitute:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{(2) (4)+ 3( - 1) }{2 + 3} , \frac{(2) ( - 3) + (3)(7)}{2 + 3} \right)[/tex]
simplify multiplication:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{8 - 3 }{2 + 3} , \frac{ - 6+ 21}{2 + 3} \right)[/tex]
simplify:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{5}{5} , \frac{ 15}{5} \right)[/tex]
simplify division:
[tex] \rm\displaystyle \text C(x,y)= \left (1,3\right)[/tex]
hence our answer is D)
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
Points => (-1, 7) & (4, -3)
Ratio => 2 : 3
(x₁, y₁) = (-1, 7)
(x₂, y₂) = (4, -3)
(m₁, m₂) = (2, 3)
Formula = [tex]\large\left (\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2}} , \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2}} \right)[/tex]
Points which divide the line segment
= [tex]( \frac{2 \times 4 + 3 \times - 1}{2 + 3}, \frac{2 \times -3 + 3 \times 7}{2 + 3})[/tex]
[tex] =( \frac{8 - 3}{5} , \frac{ - 6 + 21}{5}) \\ = ( \frac{5}{5} , \frac{15}{5} ) \\ = (1,3)[/tex]
Answer => (1, 3) [option D]
John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the two numbers
Answers
Answer:
The smallest number is 10
Step-by-step explanation:
x+y=24---equation 1
x-y=¹/6×24=>x-y=4---equation 2
Add both equations
2x=28
x=14
put x=14 into equation 1
14+y=24
y=24-14=10
Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answers
Answer:
as x increases, y increases
Step-by-step explanation:
Answer:
B. as x increases, y increases
Step-by-step explanation:
Which polynomial function has a leading coefficient of 3 and roots 4, I, and 2, all with multiplicity 1? Of(x) = 3(x + 4)(x - 1)(x - 2) O f(x) = (x - 3)(x + 4)(x - 1)(x - 2) f(x) = (x - 3)(x + 4)(x - 1)(x + 1)(x - 2) O f(x) = 3(x + 4)(x - 1)(x + 1)(x - 2) N
Answers
Note: There must be -4 instead of 4 otherwise all options are incorrect.
Given:
A polynomial function has a leading coefficient of 3 and roots -4, 1, and 2, all with multiplicity 1.
To find:
The polynomial function.
Solution:
The general polynomial function is defined as:
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]
Where, a is the leading coefficient, [tex]c_1,c_2,...,c_n[/tex] are the zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.
It is given that a polynomial function has a leading coefficient of 3 and roots 4, 1, and 2, all with multiplicity 1. So, the polynomial function is defined as:
[tex]P(x)=3(x-(-4))^1(x-1)^1(x-2)^1[/tex]
[tex]P(x)=3(x+4)(x-1)(x-2)[/tex]
Therefore, the correct option is A.
Three consecutive odd integers have a sum of 27. Find the integers.
Answers
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of three consecutive odd integers = [tex]27[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The values of the three integers.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].
As per the condition, we have
[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]
[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]
[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]
Now, collect the like terms.
[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]
[tex]➺ \: 3x + 6 = 27[/tex]
[tex]➺ \: 3x = 27 - 6[/tex]
[tex]➺ \: 3x = 21[/tex]
[tex]➺ \: x = \frac{21}{3} \\[/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]⇢ 7 + 9 + 11 = 27[/tex]
[tex]⇢ 27 = 27[/tex]
⇢ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
The Banker's Rule is another type of simple interest computation that is similar to ordinary simple interest computation. It is based on a 360-day year, but you use the actual number of days in the term when calculating interest. Does this benefit the lender or the borrower? Explain.
Answers
Answer:
it would appear tp benefit the borrower. if interest (which is paid by the borrower) is computed on a 360 day year and there are 365 days in a year....
one could consider the "Bankers Rule" to give the borrower 5 "free" days of no interest paid
Step-by-step explanation:
The function g(x) is a transformation of the cube root parent function,
Answers
Answer:
I believe that the answer is B as well
Step-by-step explanation:
This might be for Ap3x but not 100% sure
pls help tysm will give brainliest!!
Answers
Answer:
% change in perimeter = 43. 44 %
% change in area = 16 %
Step-by-step explanation:
initial perimeter of the rectangle = 2(2p + p)
= 6p
initial area of the rectangle = 2p × p
= 2p²
25% is equal to 0.4therefore,
new length = 2p + (2p × 0.4)= 2p + 0.8p = 2.8 p
new breadth= p - 0.4p
= 0.6 p
new perimeter = 2 ( 2.8 p + 0.6p)= 3.4 p
new area = 2.8p × 0.6p= 1.68 p²
% change in perimeter
[tex] = \frac{6p - 3.4p}{6p} \times 100 \\ = \frac{2.6p}{6p} \times 100 \\ = 43.33\%[/tex]
% change in area
[tex] \frac{2 {p}^{2} - 1.68 {p}^{2} }{2 {p}^{2} } \times 100 \\ = \frac{0.32}{2} \times 100 \\ = 16\%[/tex]
HELLPPPPPPPPPPPP i will give brainliest
Answers
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{18}[/tex]
[tex]\sqrt{9}[/tex] [tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex]
An elevator is moving up at a rate of 5 feet each second. The elevator is now at street level. When will the elevator be 30 feet above street level? Write a division sentence using integers to represent this situation.
Answers
Answer:
Time = (30 ÷ 5) seconds
Step-by-step explanation:
It is moving up at the rate of 5 ft/s.
This means;
Distance moved ÷ time taken = 5 ft/s
Thus, for a distance of 30 ft above street level, the time taken will be calculated from
30 ÷ time taken = 5
Time to reach the given distance = 30 ÷ 5
In division sentence, it is composed of division symbol and equal to sign.
Apples are 6 for $1.50 and oranges are 5 for $3.00. How much does it cost to buy 2 apples and 2 oranges Help me solve show me the steps
Answers
Answer:
$1.70
Step-by-step explanation:
To figure out how much each apple costs, divide $1.50 by the quantity of apples (6). The answer to that is $0.25, so multiply it by the two apples to get $0.50.
For the oranges, divide $3 by 5. The answer for that is $0.60. Multiply that by the two oranges to get $1.20.
Then, add $0.50 to $1.20 to get a total of $1.70
Answer:
$1.70
Step-by-step explanation:
We know that you can buy 6 apples for $1.50 and 5 oranges for $3.00. So let's look at the cost for one individual apple first.
To find the amount/apple we can divide $1.50 by 6. Here's another way to look at it:
Assume A is cost per apple.
6A = $1.50
6A/6 = $1.50/6
A = $0.25
Now to find the amount for 2 apples, you want to multiply the amount it costs for one apple by 2, because you are multiplying the quantity by 2 as well.
A= $0.25
A *2 = $0.25 * 2
2A = $0.50
So for two apples, it is 50 cents.
We can use a similar process for oranges but with a different price and quantity.
Assume R is cost per orange.
5R = $3.00
5R/5 = $3.00/5
R = $0.60
To find the amount for two oranges we multiply the cost by two.
R = $0.60
R*2 = $0.60*2
2R = $1.20
Finally, we want the total amount for apples AND oranges so we find the sum.
$0.50 + $1.20 = $1.70
Rewrite this function in equivalent forms to identify the key features of the quadratic function it models.
f(x) = 2x2 - 40 - 6
Type the correct answer in each box.
Key features:
y-intercept: 0,
axis of symmetry: z =
vertex: OD
x-intercepts: (-1,0) and ((,)
Answers
Answer:
y int = -6
x = 1 axis symmetry
vertex : (1,-8)
x int: (3,0),(-1,0)
Step-by-step explanation:
Help me with the diagram please!!!
Answers
Answer:
(B) 30
Step-by-step explanation:
Imagine you drew a line from Point T until it touched Line PR. Let's call that point where it touched Line PR "Point Z".
That line (called Line TZ) would be perpendicular to PR, forming a 90 degree angle.
Now, TZW is a triangle.
To find x, we need to find the angle measurment of Angle ZTW.
This is where we use the hexagon.
A hexagon's interior angle sum is 720, meaning each interior angle is equal to 120 degrees. So Angle UTS would equal 120 degrees.
However, Line TZ bisects that 120 degree angle, so Angle ZTW would equal 60 degrees (because 120/2 = 60).
Now we have two angles of the triangle: 90 & 60.
A triangle's interior angle sum is 180.
Add 90 & 60, which is 150, and subtract 150 from 180.
The result is 30, which is the angle measurement of x.
Hope it helps (●'◡'●)
How can you represent 1/2 on a 10-by-10 grid?
Answers
Answer:
Represent 1/2 by covering 50 squares.
Step-by-step explanation:
There are 100 squares in a 10-by-10 grid.
1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.
Which of the following expressions is equivalent to the one shown below? (3/2)8 A 3^8/2^8 B 3^8/2 C 3/2^8 D 8•(3/2)
Answers
Answer:
Step-by-step explanation:
Miguel can use all or part of his $25 gift card to make a music purchase.Each song costs $1.50, and there is a $1.00 per account activation fee
Answers
Answer:
1.5m + 1 ≤ 25
Step-by-step explanation:
Given:
Total amount of gift card Miguel have = $25
Cost of each song = $1.50
Account activation fee = $1
Find:
Inequality
Computation:
Assume;
Number of song Miguel have = m
So,
Total amount of gift card Miguel have ≥ (Cost of each song)(Number of song Miguel have) + Account activation fee
1.5m + 1 ≤ 25
Please help it’s needed
Answers
very easy
[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]
[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]
[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]
Now
[tex]\\ \sf\longmapsto (f-g)(x)[/tex]
[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]
[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]
[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]
[tex]\\ \sf\longmapsto x^2-11x+4[/tex]
Find the x-intercept of the graph of the linear equation y = −12x + 3.
Answers
Answer:
x-intercept = (1/4, 0)
Step-by-step explanation:
Just change the y to 0 if you want to find the x-intercept of a linear equation.
0=-12x+3
-12x=-3
x=1/4
y=0
x-intercept = (1/4, 0)
0 = -12x + 3
X = 1/4
help please!! first answer gets marked brainliest!
Answers
Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
What are the different forms of a quadratic function and what do the variables represent?
Answers
Answer:
Quadratic equations of second degree.
[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]
Quadratic equations of third degree.
[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]
PLEASE HELP MEEEEEEEE ILL MARK YOU BRAINLIEST
A set of 3 pens cost 1.68 at that unit price,how much will 10 pens cost?
Answers
Answer:
16.8
Step-by-step explanation:
Answer:
5.60
Step-by-step explanation:
To find what 10 pens cost we have to go down to the cost of 1 pen first.
If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.
[tex]\frac{1.68}{3} = 0.56[/tex]
If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.
0.56 × 10 = 5.60
Find the domain of the function. Write the answer in interval notation.
Answers
Answer:
(- ∞,∞)
there is no restriction when taking cube roots
Step-by-step explanation:
4 is added to two-thirds of d
Answers
Answer:
ayan po answer nasa picture po
Step-by-step explanation:
where
x
is the number you are trying to compute the (2/3) rds of
what is the value of x? (3x-14)°=180° [4(x-9)]°=180°
Answers
Answer:
3x-14=180
3x=194
x= 64 2/3
4(x-9)=180
4x-36=180
4x=216
x=54
Hope This Helps!!!
Step-by-step explanation:
(3x-14)°=180°
3x-14=180
3x=180+14
3x=194
x=64.6
[4(x-9)]°=180°
4x-36=180
4x=180+36
4x=216
x=54
Activity 2. pls just give me the formula or answer this, it really help me
Answers
(EX: Q1 - Sin(56) = x/17 ; then to find X just multiply 17 on both sides so you can have X by itself, then you should have X = Sin(56) • 17) HOPE THIS HELPS!!
Answer:
X= sin (56) . 17) hope this helps
Which translation vectors could have been used for the pair of
figures?
Select each correct answer.
Answers
The town of Lakehorn is built on a grid system. Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall. Only students who live outside a 5-mile radius from the school are eligible to ride the school bus. Which of the following students are eligible to ride the bus? Select all that apply.
Answers
The students eligible to ride the bus are: Marinna, Kaleb and Thomas
What is the distance between two points?The distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
What is an equation of circle with center at (h, k)?An equation of circle with center at (h, k) and radius 'r' is,
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
For given example,
Town hall is located downtown at point (0,0). A new school is located 3 miles north and 2 miles east of town hall.
Considering positive x-axis = East
negative x-axis = West
positive y-axis = North
negative y-axis =South
Also, locate the position of each student on the graph.
Then the given situation would as shown in following diagram.
We have been given, only students who live outside a 5-mile radius from the school are eligible to ride the school bus.
Using the equation of the circle,
the equation for the area within a circle of 5-mile radius from the school would be,
[tex](x-2)^2+(y-3)^2=5^2[/tex]
From the graph we can observe that, Marinna, Kaleb and Thomas live outside a 5-mile radius from the school.
Therefore, the students eligible to ride the bus are: Marinna, Kaleb and Thomas
Learn more about the equation of circle here:
https://brainly.com/question/10618691
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