Answer:
c
Step-by-step explanation:
Select all the equations that are equivalent to the equation 3x – 4 = 5.
1.
3x = 9
2.
3x - 4+4= 5 +4
3.
x - 4 = 2.
4.
x = 9
5.
-4 = 5 - 3x
3x-4=5
1. 3x=9
and
5. -4=5-3x
What is the vertex of the parabola of the parabola that is formed from the function?
Answer:
vertex = (2, - 1 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = x² - 4x + 3 ← is in standard form
with a = 1, b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{2}[/tex] = 2
Substitute x = 2 into f(x) for corresponding y- coordinate
f(2) = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1
vertex = (2, - 1 )
Which of the following values are in the range of the function graphed below? Check all that apply.
A. -1
B. 2
C. 1
D. -6
E-2
Answer:-6 and -1
Step-by-step explanation:
Please help me I’m very bad at math and I’m goibn thru it
The answer is in the picture provided below. :)
Five years ago Rams mother was five times his age.If his mother is
now thrice as old as him , Find their present ages?
Given :-
5 years ago, Ram's mother was five times his age
Ram's Mother is now thrice as old as him.
To find :-
Present age of Ram
Present age of Ram's mother
Solution :-
Let the present age of Ram be x years
Let the present age of Ram's mother be y years.
As per the first condition,
5 years ago, Ram's mother was five times his age
5 years ago,
Ram's age = x - 5
Mother's age = y - 5
Let's represent the first condition mathematically to get our first equation.
y - 5 = 5 ( x - 5)
y - 5 = 5x - 25
5x - 25 = y - 5
5x - y = - 5 + 25
5x - y = 20 -----> 1
As per the second condition,
If his mother is now thrice as old as him
Ram's age = 3x
Mother's age = y
Let's represent this too mathematically. Here we will get just the value of one of the variables, either x or y.
y = 3x
Substitute, y = 3x in equation 1,
5x - y = 20 ----> 1
Plug in the value of y,
5x - 3x = 20
2x = 20
x = [tex]\frac{20}2}[/tex]
x = 10
Present age of Ram = x = 10 years
Substitute, x = 10 in equation 1,
5x - y = 20 ---> 1
5 ( 10 ) - y = 20
50 - y = 20
- y = 20 - 50
- y = - 30
[canceling minus from both sides]
y = 30
Present age of Mother = y = 30 years
•°• Present age of Ram = 10 years.
For first case :-
5 years ago, Ram's mother was five times his age
Present age of Ram = 10 years
5 years ago,
Ram's age = 10 - 5 = 5 years
Present age of Mother = 30 years
5 years ago,
Mother's age = 30 - 5 = 25 years
Let's check if the ages satisfies the first condition,
Mother's age = 5 ( Ram's age )
25 = 5 ( 5 )
25 = 25
LHS = RHS.
For second case :-
His mother is now thrice as old as him
Mother's age = 30 years
Ram's age = 10 years
Let's check whether the second condition is satisfied or not.
Mother = 3 ( Ram's age)
30 = 3 ( 10)
30 = 30
LHS = RHS.
Hence the answer is verified.
Andre settles his debt of RM4980 by paying RM50 at the end of the first month. And for the following months, he pays RM8 more than the previous month. Find
(a) the number of months he takes to settle his debt.
(5 marks]
(b) the amount of the last payment.
[2 marks]
Answer:
A) 30 months
B) RM282
Step-by-step explanation:
a1=50+(1-1)8
a1=50+(0)8
a1=50
a2=50+(2-1)8
a2=50+(1)8
a2=58
So this is true.
The formula is an=50(n-1)8
Hope this helps
WHICH ARE THE FOLLOWING COULD BE THE PERIMETERS OF THE THREE SQUARES BELOW
WHY NOBODY WANT TO HELP ME?
Answer:
X = 111°
I hope it's helps you
PLEASE HELP FAST!!!!
Answer:
I think it's B (sorry if it is wrong)
- What is the slope of the line through (-7,5) and (9.7)?
Answer:
1/8
Step-by-step explanation:
1. What is the coefficient of the third term?
x2-4xy+6x-2
2. What is the coefficient of the second term?
x2-4xy+6x-2
Answer:
the third term is 6x making 6 the coefficient
the second term is 4xy making the 4 the coefficient
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
33
plsss mark brainliestt
Step-by-step explanation:
4(7)+23+2/8-3
28+25/5
28+5=33
The digital root of a number is the number obtained by repeatedly addinga the digits of the number. If the answer is not a one-digit number, add those digits. Continue until a one-digit sum is reached. This one digit is the digital root of the number. For example, the digital root of 98 is 8, since 9 + 8 = 17 and 1 + 7 = 8. Record the digital roots of the first 30 integers and find as many patterns as you can. Can you explain any of the patterns?
9514 1404 393
Answer:
digital roots are 1, 2, 3, ..., 8, 9, 1, 2, 3, ... (repeating 1-9 pattern)the digital root is the mod 9 value of the number except that 9 is used instead of 0numbers divisible by 3 have digital roots divisible by 3Step-by-step explanation:
The digital roots of the single-digit numbers 1-9 are just those numbers.
For numbers 10-18, the digits are the numbers 1-9, as for the numbers 19-27. In short, the digital root values are sequential, matching the remainder from division by 9 (except that numbers evenly divisible by 9 have a digital root of 9).
We also note that numbers divisible by 3 will have a digital root that is divisible by 3.
So, the patterns we notice are ...
numbers divisible by 9 have a digital root of 9numbers divisible by 3 have a digital root divisible by 3_____
Additional comment
This is a consequence of our base-10 number system and modulo arithmetic. In a base-N number system, the "digital root" will be the value of the number modulo (N-1), again with the exception that 0 is replaced by (N-1). Divisors of (N-1) will also be divisors of the number if they divide the digital root.
Can someone please help me please?
[tex] \large \mathfrak{Answer : }[/tex]
The equation of the red parabola is :
[tex]f(x) = 1 - {x}^{2} [/tex]therefore , correct option in A
What is the right answer and why it does not belong as reading in the picture u see
I will give brainlist if correct but there needs to be the right answer and explain why it does not belong
9514 1404 393
Answer:
c x^2
Step-by-step explanation:
As with many of these "doesn't belong" questions, you can make a rule that will exclude any one of the possible choices.
a) the only expression with a negative added constant
b) the only expression with parentheses
c) the only expression with a degree of 2 (and the only one that is a single term)
d) the only expression not involving x
__
I might choose (C), the 2nd-degree, single-term expression because there are a couple of reasons why it does not belong.
_____
Additional comment
The line at the bottom of the figure tells you (a) there is more than one "right" answer, and (b) each choice has at least 2 reasons why it doesn't belong.
Determine the value of x
x = a√2
a = 8
x = 8√2 ← the end answer
Laske polynomin arvo,kun x =-1.
5x-2
Hey there!
5x - 2
= 5(-1) - 2
= -5 - 2
= -7
Therefore, your answer is: -7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Someone please explain how to answer
9514 1404 393
Answer:
A: ∠WXZ = 87°; ∠ZXY = 73°
Step-by-step explanation:
Ray XZ divides the angle WXY into parts that have a sum equal to the whole.
(7x-4)° +(5x+8)° = 160° . . . . . whole is sum of parts
12x = 156 . . . . . . . . . . . . . divide by °, subtract 4
x = 13 . . . . . . . . . . . . . . divide by 12
∠WXZ = (7x -4)° = (7·13 -4)° = (91 -4)° = 87° . . . . . matches choice A
For what value(s) of k will the relation not be a function.
S={2-|k+1|, 4), (-6,7)}
Step-by-step explanation:
I have been a while. I have been a while to find a place on a daily, and a bit. I have been made in a couple. This email and any files which I think it was not the same. We will have the same. We will have the same. We will have the same. We will have the same
Answer:
The relation cannot be a function if k=-9 or k=7
Step-by-step explanation:
For any relation not to be a function, one domain value should return more than one range.
==> 2-|k+1| = -6
Adding -2 on both sides,
-|k+1| = -8
Multiplying by (-1) on both sides,
|k+1| = 8
k+1 = 8 ; -k-1 = 8
k = 7 ; -k=9 => k=-9
k=7 or k=-9
Solve x + 5= -7
I need this ASAP
Solve ( g - 7) ( g - 2) using the Distributive Property
Answer:
[tex] {g}^{2} - 9g + 14[/tex]
Step-by-step explanation:
[tex](g - 7)( - 2)[/tex]
[tex]g \times ( g- 2) - 7(g - 2)[/tex]
[tex] {g}^{2} - 2g - 7g + 14[/tex]
[tex] {g}^{2} - 9g + 14[/tex]
HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.
−x − 10 > 14 + 2x
−3x − 10 > 14
_____________
x x < −8
a)−3x > 24
b)−3x > 4
c)−3x > −4
d)−3x < 24
-x - 10 > 14 + 2x
-x - 2x > 14 + 10
-3x > 24
Answer: A
Hey there! Here's your answer:
The missing steps are : -3x > 24
Here's why:
The inequality is: -x - 10 > 14 + 2x
Now, we need to find the solution of the given inequality:
= x - 10 > 14 + 2x
Subtracting 2x from both the sides:
= -x - 10 - 2x > 14 + 2x - 2x
= -3x - 10 > 14
Adding 10 on both the sides:
= -3x - 10 + 10 > 14 + 10
= -3x > 24
Now, dividing both the sides by -3:
= x < -8
Therefore, the missing steps are: -3x > 24
Hope this helps!
11) While on vacation, you take a taxi from the airport to your hotel for $21.85. The taxi costs $2.95 plus $1.35 per mile. How far is it from the airport to the hotel?
Answer:
The distance from the airport to the hotel was 14 miles
Step-by-step explanation:
Let the distance from the airport to your hotel is [tex]x\;\rm{miles}[/tex]
Now,
According to the question, the cost of the taxi for the [tex]x\;\rm{miles}[/tex] distance is, [tex]\rm{Cost}=\$(1.35x+2.95)[/tex]
You booked the cab and pay $21.85 for traveling from the airport to your hotel.
So,
Cost = $21.85
Therefore,
Substitute the cost value in the above equation.
[tex]\$21.85=\$(1.35x+2.95)\\1.35x=18.9\\x=14[/tex]
To know more about it, please refer to the link:
Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/f79a5c1f6e65fb5b41d0f190420ef01b?utm_source=invite&utm_medium=link&utm_campaign=bfp_qpage_box&utm_term=parent
What are the all possible factors of 12
Answer:
All the possible factors for 12 are: 1,2,3,4,6,12
Find the sales tax and total cost of an espresso machine that costs $36.95. The tax rate is 4% . Round your answer to the nearest cent.
Answer:
$41.50
Step-by-step explanation:
$39.95×4%=1.59
$39.95+1.59=$41.54
rounding total $41.50
An airplane heads in the direction of N25°E at 325 mph. A tailwind is blowing in the direction N40°W at 50 mph. What is the actual velocity of the plane? A) 315.786 mph B) 349.084 mph 438.064 mph D) 121860.018 mph
Answer: I Think It’s A 315.786
Step-by-step explanation: Let me know if that’s correct
I have a question if anybody answers the reward is brainlist
Whats 0÷0
Answer:
0
Step-by-step explanation:
You can't divide anything by zero
0÷0=
=0
What is the greatest common factor (GCF) of 81 and 36?
A.
324
B.
3
C.
9
D.
81
Answer:
C. 9
Step-by-step explanation:
Since the greatest factor that both fits in 81 and 36 is 9, the GCF is 9.
Write out the differential equations, DO NOT solve, for the following word problems.
a. The acceleration, v'(t), of a coasting motorboat is proportional to the square of its velocity, v(t).
b. The population of Zootopia in year t, is P(t): Animals are born at a rate proportional to the population. The death rate is also proportional to the population. Animals move to Zootopia at a rate of 50,000 animals a year, and 40,000 animals move away in a year.
c. A function g(x) is described by the following property of its graph: At each point (x, y) on the graph y=g(x), the normal line to the graph passes through the point (0, -2). Use this information to find a differential equation of the form: dy/dx = f(x, y) Having the function g(x) as its solution.
Answer:
A differential equation of the form: [tex]dy/dx = f(x, y)[/tex] is [tex]\frac{-x}{y+2}[/tex]
Step-by-step explanation:
Step 1 of 3
a) Acceleration[tex]$\rightarrow v^{\prime}(t)$[/tex]
velocity [tex]$\rightarrow v(t)$[/tex]
Given that [tex]$v^{\prime}(t) \propto v^{2}(t)$[/tex]
[tex]\frac{d v}{d t}=k v^{2}[/tex]
[tex]k[/tex] is proportionality constant.
Step 2 of 3
b) The population of Zootopia in year [tex]$t$[/tex], is [tex]$P(t)$[/tex]
Let [tex]$\beta$[/tex] the 'birth rate of Animals and [tex]$\delta$[/tex] the death rate of the population.
Then the population model is
[tex]\frac{d p}{d t}=(\beta-\delta) P$$[/tex]
Given that [tex]$\beta=50000$[/tex] and
[tex]$\delta=40000$[/tex]
So, [tex]$\frac{d P}{d t}=10000 P$[/tex]
Step 3 of 3
c) First we take the derivative of [tex]$f(x)$[/tex] i. e [tex]$f^{\prime}(x)$[/tex].
The evaluate it at [tex]$m_{1}=f^{\prime}(2)[/tex]
[tex]m_{2}=\frac{-1}{f^{\prime}(2)}$[/tex]
The normal line with slope [tex]$\frac{-1}{f^{\prime}(2)}$[/tex]
[tex]y-(-2)=\frac{-1}{f^{\prime}(2)}(x-0) \\[/tex]
[tex]y+2=\frac{-x}{f^{\prime}(2)}[/tex]
[tex]f^{\prime}(2)=\frac{f x}{(y+2)} \\[/tex]
[tex]&f^{\prime}(2)+\frac{x}{(y+2)}=0[/tex]
[tex]\frac{d y}{d x}=\frac{-x}{y+2}[/tex]
Please help ASAP!!
Show all work to find f(g(x)) and explain what f(g(x)) represents
9514 1404 393
Answer:
f(g(x)) = 10x³ +16
Step-by-step explanation:
Put the function arguments where they go and simplify in the usual way.
f(g(x)) = f(√(5x³)) = 2(√(5x³))² +16 = 2(5x³) +16
f(g(x)) = 10x³ +16
_____
Without knowing what f(x) and g(x) relate to in the real world, it is difficult to say what f(g(x)) represents. It is a composite function in which the value of g(x) is used as the argument for f(x).
