Step-by-step explanation:
[tex]3(x + 2) = 2(2 - x) \\ 3x + 6 = 4 - 2x \\ 3x + 2x + 6 = 4 - 2x + 2x \\ 5x + 6 = 4 \\ 5x + 6 - 4 = 4 - 4\\ 5x = 2 \\ x \frac{2}{5} = 0.4[/tex]
Write an explicit formula for a_na
n
, the n^{\text{th}}n
th
term of the sequence 40, 33, 26, ...
The nth term of the Sequence: 40, 33, 26, .... is 47 - 7n.
What is Arithmetic Progression?An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.
Here, we know nth term of the Arithmetic Sequence is
Aₙ = A + (n - 1)D
where, A is first term and D is common difference
A = 40 and D = 33 - 40 = -7
Now, Aₙ = 40 + (n - 1) (-7)
Aₙ = 40 - 7n + 7
Aₙ = 47 - 7n
Thus, the nth term of the Sequence: 40, 33, 26, .... is 47 - 7n.
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During her holiday, Hannah rents a bike. She pays a fixed cost of $8 and then a cost of $4.50 per day.
Hannah pays with a $50 note and receives $10.50 change.
Calculate for how many days Hannah rents the bike.
fixed cost= $8
cost= $4.50
payed= $50
recieved= $10.50
to find:how many days Hannah rented the bike.
solution:let the unknown be ( x )
[tex]x = 50 - (10.50 + 8)[/tex]
[tex]x = 50 - 18.50[/tex]
[tex]x = 13.50[/tex]
[tex]x = \frac{13.50}{4.50} [/tex]
[tex]x = 7[/tex]
hence, Hannah rented the bike for 7 days.
1 of 9
2.
4
5
6
Solve each addition or subtraction problem with its corresponding answer.
a.
11
b. 6
c. 4
d. 1
e.
1. 3
F=-=-= = = = = = =
2. 6
T +
Elo Elm En = 100
3.
5
4. 10
5.
2
11
Check Answer
please answer, it's really important
Answer:
Step-by-step explanation:
x² - 2x + 5 = 0
x² - 2x = -5
x² - 2x + 1 = -5 + 1
(x - 1)² = -4
(x - 1) = ±2i
If we invest $5,000.00 in an investment account paying 1% interest compounded annual, how much
will the account be worth in 14 years?
A(t) = P(1+)".
n
The account in 14 years will be worth $
Answer:
5747.37
Step-by-step explanation:
5 000 ( 1 + .01) ^14
= 5747.37
how are the values of -4^3 and 4^-3 alike and how do they differ
Answer:
they are really different
Drag the tiles to the correct boxes to complete the pairs not all tiles will be used.
Answer:
I will answer them from top to bottom
1. 2A
2. 2A-B
3. 2A+3A
4. 2(A-B)
Step-by-step explanation:
You don't need an explanation. I am just putting this here so my answer does not get taken down.
Which of the expressions below is the product of (x+2y) and (2x−3y)?
Answer:
(x +2y ) ( 2x-3y)
= 2x² + 4xy -3xy -6y²
= 2x² +xy -6y²
Step-by-step explanation:
2x^2 +xy-6y is the answer
Which statement could be used to prove AB || CE?
Answer:
B
Step-by-step explanation:
Let's take a look at each statement.
A: ∠1 ≅ ∠8
Angle 1 is congruent to angle 8.
If lines are parallel then angle 1 and angle 8 would be same side (consecutive) exterior angles which are supplementary and not congruent.
Therefore this statement would prove that the lines are not parallel.
B: ∠1 ≅ ∠7
Angle 1 is congruent to angle 7.
If lines are parallel then angle 1 and angle 7 would be alternate exterior angles which are congruent.
This statement proves that the lines are parallel. We have angle 1 that is at line AB and angle 7 which is at line CD. It's important that one angle is at one line and the second angle at the other line, otherwise we cannot prove that the lines are parallel.
C: ∠6 ≅ ∠8
Angle 6 is congruent to angle 8.
Angles 6 and 8 are vertical angles and they are congruent.
This statement is correct but it doesn't tell us anything about the relationship of angles at the other line, therefore it proves nothing.
D: ∠1 and ∠2 are supplementary.
Angles 1 and 2 create a linear pair, therefore they are supplementary.
This statement is also correct but again it tells us nothing about the angles at the other line so it again proves nothing.
simplify the ratio of 1:3¼
Answer:
[tex]\frac{4}{13}[/tex]
Step-by-step explanation:
1÷3[tex]\frac{1}{4}[/tex]=3+[tex]\frac{1}{4}[/tex], 3×[tex]\frac{4}{4}[/tex]
1÷[tex]\frac{13}{4}[/tex]
If n = 5x - 4, then what is the value of x when n = 6?
⚫️0.4
⚫️5.2
⚫️-3
⚫️2
What is in simplest form?
QUESTION ON PIC THANK YOU
Answer:
10/10
Step-by-step explanation:
please answer quick!! giving 30 points if u answer quick!!!
Answer:
Your answer is A and B
Step-by-step explanation:
A. Has 8 by 3 by 2 = 48
B. 6 by 4 by 2 = 48
C. 4 by 4 by 4 = 64
D. 11 by 2 by 2 = 44
How do you divide 1748 by 76
dhswer in the
4. Leela delivers
newspapers every
Saturday. She earns $3
for every 10 deliveries.
She earns an extra
$7.00 after every 50
deliveries.
How much will Leela
earn if she delivers to
100 homes this
Saturday?
(This is a toughie! Read the
information carefully. Use the back
to show your work)
How do you view your account balance online?
Upload the information from a spreadsheet to your bank's Web site.
Visit the Web site where all online banking is done, w, log in to your account, and add and subtract the transactions that appear.
Visit the bank's Web site, log in to your account, and click on the account summary link.
Visit the bank's Web site and click on the bill pay link.
Answer:
you first can check online, call your bank, visit an ATM, set up alerts, or ask a teller.
Use the graph of the function to find its domain and range. Write the domain and range in interval notation
Answers:
Domain: [tex](-\infty, 5)[/tex]
Range: [tex][-3, \infty)[/tex]
Both are in interval notation. There's a square bracket next to the -3, and everything else is a curved parenthesis.
===========================================================
Explanation:
The domain is the set of allowed x input values of a function. We have a hole at x = 5, so this value is not allowed in the domain. But we can use anything smaller than this. The domain as an inequality is [tex]x < 5[/tex] which is the same as writing [tex]-\infty < x < 5[/tex] and that directly translates to the interval notation of [tex](-\infty, 5)[/tex]
The curved parenthesis say "exclude this endpoint". The domain is anything between negative infinity to 5, excluding both endpoints.
----------------------
The range is the set of possible y outputs of a function.
The lowest the function goes is at y = -3. The arrow indicates it goes up forever, meaning that the range as an inequality is [tex]y \ge -3[/tex] which is the same as [tex]-3 \le y[/tex] and the same as [tex]-3 \le y < \infty[/tex]
Then that directly turns into the interval notation of [tex][-3, \infty)[/tex]
We have a square bracket at -3 to include this endpoint. We can't ever reach infinity, so we of course can't include this endpoint. Always use parenthesis for either infinity.
Fill in each of the missing parts of the hierarchy of the quadrilaterals. Include the properties of each of the figures.
Answer:
I just edited the file you linked.
Answer:
HERE IS THE REAL ANSWER!!! >
Step-by-step explanation:
I added the file so yeah also its correct!
Scott is a software salesman. His monthly salary is $2400 plus an additional $70 for every copy of Math is Fun he sells.
Let S represent his total salary this month (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating S to N, and then graph your equation using the axes below.
2,400 + 70N = S
hope this helps ya mate
What’s the missing angle
(The bottom number is 46 and the top is 78)
please I need help I need it under 20min
Answer:
See below ~
Step-by-step explanation:
Solving :
(a) Coordinates of P and Q
⇒ Equate the lines' equations
⇒ 2x² - 6x - 8 = 2x - 14
⇒ 2x² - 8x + 6 = 0
⇒ x² - 4x + 3 = 0
⇒ (x - 3)(x - 1) = 0
⇒ x = 3 and x = 1
Substitute each x-value in the any of the 2 equations :
⇒ y = 2(3) - 14
⇒ y = 6 - 14
⇒ y = -8
⇒ P = (3, -8)
⇒ y = 2(1) - 14
⇒ y = 2 - 14
⇒ y = -12
⇒ Q = (1, -12)
(b)
(i) 2x² - 6x - 8 = 0
⇒ x² - 3x - 4 = 0
⇒ (x - 4)(x + 1) = 0
⇒ x = 4 and x = -1
(ii) 2x² - 6x = -4
⇒ 2x² - 6x + 4 = 0
⇒ x² - 3x + 2 = 0
⇒ (x - 1)(x - 2) = 0
⇒ x = 1 and x = 2
(c) Line of symmetry
Finding the vertex :
⇒ Vertex = (h, k)
⇒ h = -b/2a
⇒ h = -(-6)/2(2)
⇒ h = 6/4
⇒ h = 1.5
⇒ The axis of symmetry's equation is : x = 1.5
(d)
⇒ As the mentioned function is a quadratic function, irrational values such as √2, √3, √6, etc. cannot be taken into consideration
what is c
5a-b+c= -10
a-3b-c= -4
2a+4b-2c= 12
Answer:
{5a-b+c=10}
{a-3b-c=-4
[2a+2b-c=6
Step-by-step explanation: so it's 6 hope this helps. Let me know if it helps and give brainliest.
A parachutist's speed during a free fall reaches 50 meters per second. What is this speed in feet per second? At this speed, how many
feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round
your answers.
Speed:
0
Х
5
?
Distance fallen in 10 seconds:
50m ≅164 ft (3s.f.)
50m/s≅164 ft/s
distance after 20s:
d=164 ft/s ⋅20s
=3280ft
Hope This Helps!
Which 2 shapes on the quadrilateral hierarchy are directly under the trapezoid?
trapezoid and square
rectangle and kite
parallelogram and isosceles trapezoid
square and rectangle
The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.
What is a quadrilateral?A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are kite, square, parallelogram and so on.
The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.
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Elly is a self-employed financial advisor. Last year her income was $57,000.How much does she owe in SECA taxes?
The SECA taxes for the income $57000 will be $7068.
What is SECA?SECA stands for Self Employed Contributions Act. These taxes are computed from the net earnings, which in this case is $57000.
The basic rate for SECA taxes is 6.2% for employeer and 6.2% for employee. In the case of people who are self employed, the taxes are double, because they are employee and employeer at the same time.
So, Doug have to pay 12.4% taxes, which is equivalent to:
[tex]\rm SECA=57000\times 12.4\%= $7067[/tex]
Therefore, the SECA deduction for Doug is $7068.
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PLS HELP I NEED Q5 I NEED TO TURN IT IN
can you please help I pay you £50
quaddale dingle said hey, whats up
You deposit $150 in an account. The account earns $27 simple interest in 4 years. What is the annual interest rate
THIS ONE I CANT FIGURE OUT SORRY :C
Given f(x) = x^2 - 4x + 6 and g(x) = 2x^2 + 2x - 5, what is the equation for (f + g)(x)?
[tex]\\ \rm\Rrightarrow (f+g)(x)[/tex]
[tex]\\ \rm\Rrightarrow f(x)+g(x)[/tex]
[tex]\\ \rm\Rrightarrow x^2-4x+6+2x^2+2x-5[/tex]
[tex]\\ \rm\Rrightarrow 3x^2-2x+1[/tex]
Done!
Answer:
[tex](f+g)(x)=3x^2-2x+1[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\textsf{Given functions}: \quad f(x) &=x^2-4x+6\\g(x) &=2x^2+2x-5\\\end{aligned}[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\& =(x^2-4x+6)+(2x^2+2x-5)\\& =x^2-4x+6+2x^2+2x-5\\& =x^2+2x^2-4x+2x+6-5\\& =3x^2-2x+1\end{aligned}[/tex]