Answer: 2, D
Step-by-step explanation: f=-2, so 4x-2 would give -8 add 10 would give 2 as it is for the negative
ple help me quick thank you:)
Answer:
z> 5/4
To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.
Step-by-step explanation:
Isolate your variable (z) by multiplying both sides of the equation by 5/3.
z> 5/4
Dеtеrmіnе tһе range օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе domain іѕ {-3, 9, 15}.
Answer:
{ - 5, 19, 31 }
Step-by-step explanation:
Substitute the values from the domain ( input) into f(x) to obtain range (output )
f(- 3) = 2(- 3) + 1 = - 6 + 1 = - 5
f(9) = 2(9) + 1 = 18 + 1 = 19
f(15) = 2(15) + 1 = 30 + 1 = 31
range is { - 5, 19, 31 }
which matrix multiplication is defined?
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35 find the cost of the tie
Using linear system of equations, the cost tie is £7.43.
Linear equations -In everyday life, we can utilize linear equations to compare prices, make predictions, create budgets, and more. When all of the variables have a highest power of one, an equation is considered to be linear. Each variable is reliant on the others. A one-degree equation is another name for this kind of equation. Continue reading to learn how to solve a linear equation in one or two variables using its standard form, formula, graph, and rules.
Given,
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35,
According to question,
let cost of shirt = x
cost of tie = y
Now putting it in the equation,
13x + 22y = 363.01
given x = 15.35
⇒ y = 363.01 - 13(15.35) / 22
y = 363.01 - 199.55 / 22
y = 7.43
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I need help with number 9 please
Answer:
29.85
Step-by-step explanation:
1 month = 9.95
2 months = 19.9
3 months= 29.85
It shows the progression through three months and how much it was starting off from one month.
Answer: $29.85
per day it charges $9.95
she has the subscription for three months
we will then multiply the amount charged per month
$9.95 x 3 = $29.85
I hope this helps! :)
Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices.
[tex] \frac{3x ^{2} + 3x - 2 }{(x + 1)^{2} (x - 1)} = \frac{a}{x + 1} + \frac{b}{x - 1} + \frac{c}{(x + 1)^{2} } [/tex]
A=
B=
C=
Combine the fractions on the left with a common denominator:
[tex]\dfrac a{x+1} + \dfrac b{x-1} + \dfrac c{(x+1)^2} = \dfrac{a(x+1)(x-1) + b(x+1)^2 + c(x-1)}{(x-1)(x+1)^2}[/tex]
It follows that
[tex]3x^2+3x-2 = a(x+1)(x-1) + b(x+1)^2 + c(x-1)[/tex]
Expand the right side and collect like powers of x :
[tex]3x^2+3x-2 = a(x^2-1) + b(x^2+2x+1) + c(x-1)[/tex]
[tex]3x^2+3x-2 = (a+b)x^2 + (2b + c)x -a +b - c[/tex]
Then we have the system of equations
[tex]\begin{cases}a+b=3\\2b+c=3\\-a+b-c=-2\end{cases}[/tex]
or in matrix form,
[tex]\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix} \begin{bmatrix}a\\b\\c\end{bmatrix} = \begin{bmatrix}3\\3\\-2\end{bmatrix}[/tex]
Compute the determinant of the coefficient matrix:
[tex]\det\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix} = -4[/tex]
Then the inverse of the coefficient matrix is equal 1/det times the adjugate of the coefficient matrix (a.k.a the transpose of the cofactor matrix):
[tex]\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix}^{-1} = \dfrac1{-4} \begin{bmatrix}-3 & -1 & 2 \\ 1 & -1 & -2 \\ 1 & -1 & 2\end{bmatrix}^\top = -\dfrac14 \begin{bmatrix}3&-1&-1\\1&1&1\\-2&2&-2\end{bmatrix}[/tex]
Multiply both sides of the equation by the inverse :
[tex]\begin{bmatrix}a\\b\\c\end{bmatrix} = -\dfrac14 \begin{bmatrix}3&-1&-1\\1&1&1\\-2&2&-2\end{bmatrix} \begin{bmatrix}3\\3\\-2\end{bmatrix} = \begin{bmatrix}2\\1\\1\end{bmatrix}[/tex]
So, we have a = 2 and b = c = 1, and the partial fraction decomposition is
[tex]\dfrac{3x^2+3x-2}{(x+1)^2(x-1)} = \dfrac 2{x+1} + \dfrac 1{x-1} + \dfrac 1{(x+1)^2}[/tex]
Answer:
A = 2B = 1C = 1Step-by-step explanation:
One can solve for a, b, c a little more directly than using a system of 3 equations.
If we multiply the rational expression by (x+1)², we get ...
(3x² +3x -2)/(x -1) = (x+1)²(a/(x+1) +b/(x-1)) +c
Evaluating this for x = -1 gives ...
(3(-1)² +3(-1) -2)/(-1 -1) = c
-2/-2 = 1 = c
Similarly, multiplying by (x -1) gives ...
(3x² +3x -2)/(x +1)² = (x -1)(a/(x +1) +c/(x +1)²) + b
Evaluating this for x = 1 gives ...
(3·1² +3·1 -2)/(1 +1)² = b
4/4 = 1 = b
Now, we need to find the value of 'a'. The identity will hold true for any value of x, so we can see what happens when we substitute x=0. We can use the values of 'b' and 'c' that we found above.
(3·0² +3·0 -2)/((0 +1)²(0 -1)) = a/(0 +1) +1/(0 -1) +1/(0 +1)²
-2/-1 = a -1 +1 ⇒ a = 2
_____
System of equations solution
When the terms of the right-side expansion are combined, the numerator of the result is ...
a(x +1)(x -1) +b(x +1)^2 +c(x -1) = (a+b)x² +(2b+c)x +(-a+b-c) ≡ 3x² +3x -2
Equating the coefficients gives the system of equations whose augmented matrix is:
[tex]\left[\begin{array}{ccc|c}1&1&0&3\\0&2&1&3\\-1&1&-1&-2\end{array}\right][/tex]
Transforming this to reduced row-echelon form using any of a variety of available tools gives ...
[tex]\left[\begin{array}{ccc|c}1&0&0&2\\0&1&0&1\\0&0&1&1\end{array}\right][/tex]
which tells you the solution is (A, B, C) = (2, 1, 1).
Rewrite the expression with
parentheses to equal the
given value.
3x 8-5 + 3
value: 12
Please help me out with this Math sheet. Thanks
Answer:
1. acute
2. obtuse
3. right
4. acute
5. straight
6. obtuse
7. acute
8. obtuse
9. straight
10. ∠ EAD , ∠ CED , ∠ BCE , ∠ BEA , ∠EBC
11. ∠CDA , BCD
12. ∠AED ,∠BEC
13. ∠ AEC, ∠ BED
14. ∠ EAU , ∠EUI , ∠IUO , ∠OAE
15. ∠ EUO , ∠IUA
16. ∠AUO , ∠EIO
What is 6 3/4 percent of 800
Answer:
54
Step-by-step explanation:
6 3/4 = 6*4 + 3 / 4
= 27/4
=> 27/4 /100 * 800
=> 27/400 * 800
=> 27 * 2
=> 54
What is the y-intercept of the graph of the equation [tex]y=x(1/4) - 2/3[/tex]
A. -2/3
B. 2/3
C. -1/4
D. 1/4
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{2}{3}[/tex] ← is in slope- intercept form
with y- intercept c = - [tex]\frac{2}{3}[/tex] → A
Solve for x and y !!!!!!!!!!!
Answer:
x=12; y=138.
Step-by-step explanation:
1. 4x+(3x+6)=90 - to calculate 'x';
3x+6+y=180 - then to calculate 'y';
2. 7x+6=90; ⇒ x=12;
3. 3*12+6+y=180; ⇒ y=138°.
Four movie tickets cost $48. At this rate, what is the cost of...
a. 5 movie tickets? Show your work.
b. 11 movie tickets? Show your work.
A credit union pays interest of 2% per annum on a certain
savings plan. If $1000 is deposited in such a plan and the
interest is left to accumulate, how much is in the account after 1
year?
Answer:
$1020
Step-by-step explanation:
1000 ÷ 100 = 10
10 × 2 = 20
$20 is gained per annum.
b) Complete the table to show the total amount of calories Mary will burn for
cycling and running for 0, 10, 15, and 30 minutes. Show and explain your work.
Minutes (m)
Total Calories Burned (C)
0
10
For 0 minutes she can burn 0 calories
For 10 minutes she can burn 20-40 calories
For 15 mins she can burn 40-60 calories
For 30 minutes she can burn 140-295 calories
I hoped this helped!
Have a great day/night! :)
Only answer this if you know the answer.
Find out the gradient of both blue lines
Answer
first line=4.1,10
second=6,10
Step-by-step explanation:
100.00 decreased by 20%
Please help
Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value
Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
which is the graph of y -3 equals -2/3 (x + 6)
NO LINKS
Step-by-step explanation:
This is point-slope form:
[tex]y-y1=m(x-x1)[/tex]
in this case:
[tex]y-3=-\frac{2}{3} (x+6)[/tex]
Looking at the structure of point slope form up top, you can find the slope and one point.
[tex]m=-\frac{2}{3} \\x1=-6\\y1=3\\(-6,3)[/tex]
Now, just find the graph with a slope of [tex]-\frac{2}{3}[/tex] that passes through (-6, 3). It's hard to see on the image, but that looks like the top left.
By the way, what's the "no links" thing about? I just came back to this site after a year away
In Mrs. Reed's class, the ratio of boys to girls is 4:1 If there are 15 total students in the class, how many boys are there
Answer:
there are 12 boys
show how to find slope of a line that passes through the points in the table
Answer:
Step-by-step explanation:
here you go m = (y2-y1)/(x2-x1)
= (11-(-9))/(3-(-1))
= 20/4
= 5
I 13.12.21 Mather asianmen I choose the best answert the next two numbers in the pattern 1, 4, 9, 16 are. (A) 26,36 (B) 25, 36 (C) 24,35 (D) 36,48
Answer:
(B) 25, 36
Step-by-step explanation:
1 = 1²
4 = 2²
9 = 3²
16 = 4²
25 = 5²
35 = 6²
Yes, but on this site, how can I make sure that this answer is correct or wrong, please, I don't know?
Find the equation of the line.
Answer:
y= 4/1x +1
Step-by-step explanation:
the number on the y axis is the b and you do rise over run to find m you rise (so you go up or down) 4 times and run( go to the sides) once.
rise 4
-------- = -----
run 1
Answer:
y = 3x + 1
Step-by-step explanation:
Slope: As it rises 3, it runs 1
Slope = Change in y/change in x
Slope = 3/1
y - intercept = 1 ,the point of intersection
Equation : y = mx + b
m = slope
b = y-intercept
Equation : y = 3x + 1
-Chetan K
Find the missing number.Write your answer on your answer sheet.
3/5÷2/6= 3/5÷6/2=
[tex] \huge \bf \color{gold} \frac{3}{5} \div \frac{2}{6} = [/tex]
[tex] \tt \frac{3}{5} \times \frac{6}{2} = [/tex]
[tex] \tt \frac{18 \div 2}{10 \div 2} = [/tex]
[tex] \tt \frac{9}{5} = [/tex]
[tex] \boxed {\color{blue}{ 1 \frac{4}{5}}}[/tex]
THE RESULT IS 1 4/5
Answer:
The solution is 9/5 and 1/5
Step-by-step explanation:
3/5÷2/6
= 3/5×6/2
= 3/5×3
= 9/5
3/5÷6/2
= 3/5×2/6
= 3/5×1/3
= 1/5
Precalc!! Please help
Answer:
Step-by-step explanation:
1
Solve for q.
7q+17q–14q–8q=14
q=
[tex](7 + 17 - 14 - 8)q = 14[/tex]
[tex](24 - 22)q = 14[/tex]
[tex]2q = 14[/tex]
Divide both sides by 2
[tex] \frac{2q}{2} = \frac{14}{2} \\ [/tex]
[tex]q = 7[/tex]
There u go...
Have a great day ❤
what's 2x+3y=1,470 in slope intercept form?
Given: DE is a midsegment of ∆C. Show all work. Find the value of x and y. What is the length of C?
Answer:
Find out the value of x.
To prove
Definition of mid- segment
It is a segment connecting the midpoints of two sides of a triangle.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
As shown in the triangle given below.
As given
DE = 5x and BC = 11x – 15
Thus
15 = 11x - 10x
15 = x
Therefore the value of x is 15 .
Step-by-step explanation:
Janine is 25 and has a good job at a biotechnology company. Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.
We have that for the Question, it can be said that
The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is
$ 766377.4
From the question we are told
Janine is 25 and has a good job at a biotechnology company.
Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.
IRA Sum = $ 5000 Growth ratio of IRA= 8%Growth period = 40 years
Generally the equation for the IRA Amount at Retirement is mathematically given as
IAR= 5000 * 1.08^(40)
= 108622.6
Since estimate is at
$875,000
Therefore
Accumulation in 401,000 = 875000 - 108622.6
Accumulation in 401,000 = 766377.4
Hence
The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is
$ 766377.4
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what is the last number
lol
Answer:
Infinity probally. But there is a number called the god's number reported by Galileo in which he states a number in which the enitre universe fits.
Two points are shown on the number line. Which value is best represented by the point F? 
Answer:
I believe its d