Answer:
[tex]f(x) = 4 {x}^{2} + 3[/tex]
Step-by-step explanation:
The reason why it is +3 it is because a vertical shift took place which alters the y-interception to be +3 not 0 anymore, making the new formula be the one I've written up there.
Hope this makes sense
:)
If a=5,b=-4 and c=-3,what is the value of 2a-6b+3c?
_____
We are given that:
a = 5b = -4c = -3Given the expression:
[tex] \displaystyle \large{2a - 6b + 3c}[/tex]
Evaluate the expression by substituing the given values in.
[tex] \displaystyle \large{2(5)- 6( - 4)+ 3( - 3)} \\ \displaystyle \large{10- ( - 24)+ ( - 9)}[/tex]
Simplify the expression.
Negative × Negative = PositiveNegative × Positive = Negative[tex] \displaystyle \large{10 + 24 - 9} \\ \displaystyle \large{34- 9} \\ \displaystyle \large \boxed {25}[/tex]
Therefore, the value of the expression is 25.
four cities lie along a straight highway in this order city a, city, city c, city d. The distance from city a to city b is 5 times the distance from city b to city c. The distance from city a to city d is 2 times the distance from city a to city d. the distance between city d and city c is 10 miles. What are the distances between the cities?
Dividing the segments and finding the lengths, it is found that the distance between the two cities is of 130 miles.
--------------------------------
We want to find the distance between cities a and d.Due to the cities along the highway, the distance is given by:[tex]ad = ab + bc + cd[/tex]
--------------------------------
The distance from city a to city b is 5 times the distance from city b to city c, and thus:[tex]ab = 5bc[/tex]
In terms of x, [tex]bc = x, ab = 5x[/tex]
--------------------------------
The distance from city b to city c is 2 times the distance from city c to city d, and thus:[tex]bc = 2cd[/tex]
In terms of x, [tex]cd = \frac{x}{2}[/tex]
--------------------------------
The distance between city d and city c is 10 miles, thus:[tex]\frac{x}{2} = 10[/tex]
[tex]x = 20[/tex]
--------------------------------
The other distances are:[tex]bc = x = 20[/tex]
[tex]ab = 5x = 5(20) = 100[/tex]
--------------------------------
The distance between cities a and d is:[tex]ad = ab + bc + cd = 100 + 20 + 10 = 130[/tex]
The distance between the two cities is of 130 miles.
A similar problem is given at https://brainly.com/question/24352869
please help me thank you so much
9514 1404 393
Answer:
3 drops of yellow
Step-by-step explanation:
The proportional relationship is ...
yellow/red = 8/24 = ??/9
Multiplying by 9, we get ...
?? = 9(1/3) = 3
3 drops of yellow are required when 9 drops of red are used.
Evaluate.
-62
-62-0
(Answer quickly)
Answer:
36
Step-by-step explanation:
When negative gets squared, it becomes positive
Answer:
36
Step-by-step explanation:
36 is the square of -6
have a nice day
Reanna is making a scrapbook which holds 14 photos on each 2-page spread.
Tables are used to show the relationship between variables in a visual form. The equation of the situation is: [tex]y = 7x[/tex]
The complete table is as follows:
[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]
Given that:
[tex]2\ page = 14\ photos[/tex]
Let:
[tex]y \to pages[/tex]
[tex]x \to photos[/tex]
So, we have:
[tex]2y = 14x[/tex]
Divide by 2
[tex]y = 7x[/tex]
To fill the table, we simply multiply both sides by the same constant.
Multiply by 0.5
[tex]2\ page \times 0.5= 14\ photos \times 0.5[/tex]
[tex]1\ page = 7\ photos[/tex]
Multiply by 2
[tex]2\ page \times 2 = 14\ photos \times 2[/tex]
[tex]4\ page = 28\ photos[/tex]
Multiply by 3
[tex]2\ page \times 3 = 14\ photos \times 3[/tex]
[tex]6\ page = 42\ photos[/tex]
So, the table is as follows:
[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]
Read more about tables at:
https://brainly.com/question/13140019
Use a TABLE to solve ( x + 3) ( x + 2). QUICK PLEASE!
Answer:
My answer is: x square + 5x +6
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(x + 3)(x + 2)}}\\\huge\boxed{\mathsf{\rightarrow x(x) + 2(x) + 3(x) + 3(2)}}}\\\huge\boxed{\rightarrow{\mathsf{x^2 + 2x + 3x +6}}}\\\huge\boxed{\boxed{\text{COMBINE the LIKE TERMS}}}\\\huge\boxed{\mathsf{\rightarrow x^2 + \bold{2x + 3x} + 6}}\\\huge\boxed{\mathsf{\rightarrow{x^2 + \bold{5x} + 6}}}\\\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: x^2 + 5x + 6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Please help me and show the steps!!
Answer:
=397
Step-by-step explanation:
7 - 6 × {3-7}^3 +6
Solve the brackets first
7 - 6 × {-4} ^3 +6
7 - 6 × {-64}+6
7 +384 +6
=397
Answer:
397
Step-by-step explanation:
Solve the bracket
7-6×{-4}^3 +6
-6× {-64) + 6+7
384 + 13
397 is the final answer
Multiply. Write your answer in the simplest form.
5 over 2 times 9 over 10
Answer:
5 over 2= 25
9 over 10= 387420489
Step-by-step explanation:
A box of cards contains 7 thank you cards, 4 birthday cards, 3 blank cards and 2 get well
cards. What is the ratio of birthday cards to thank you cards?
Answer:
Hii!
Birthday cards = 4
Thankyou cards = 7
So The answer might be
4 : 7
If U.S. $1 = 7.82 Hong Kong dollars, what is the value of 25 Hong Kong dollars in U.S. dollars?
Answer:
3.25
Step-by-step explanation:
1 hong kong dollar = 0.13 cents in us dollars
0.13x25=3.25
The value of 25 Hong Kong dollars in U.S dollar is $3.1969
Given that :
$1 = 7.82 Hong Kong dollars
Let the equivalent Number of U.S dollars = p
This means that :
$1 = 7.82 Hong Kong dollars
$1 = 7.82 Hong Kong dollars $p = 25
Cross multiply :
25 × 1 = 7.82 × p
25 = 7.82p
Divide both sides by 7.82
25 / 7.82 = p
p = $3.1969
Hence, 25 Hong Kong dollars is 3.1969 U.S dollars.
Learn more : https://brainly.com/question/18109354
please help me, if you help then thanks!
Answer:
x = 5
Step-by-step explanation:
[tex] {x}^{3} = 125[/tex]
[tex] {x}^{3} = {5}^{3} [/tex]
[tex] x = 5[/tex]
can someone pls help me
im timed :(
Answer:
-10+6w+14v hope this is right if not sorry
Answer:
A. -14w + 14v
Step-by-step explanation:
Note that the formula for the perimeter of a rectangle is 2W + WL = P. We can substitute those variables with the equations we are given and simplify.
2(5v - 10w) + 2(2v + 3w)
~Use distributive property rules to simplify
10v - 20w + 4v + 6w
~Combine like terms
14v - 14w or -14w + 14v
Best of Luck!
40 POINTS please help
Answer:
(0,-3)
(8,0)
Step-by-step explanation:
Putting x = 0
[tex]3(0) - 8y = 24[/tex]
[tex] - 8y = 24[/tex]
[tex]y = \dfrac{ - 24}{8} [/tex]
[tex]y = - 3[/tex]
x - intercept = (0.-3)
Putting y = 0
[tex]3x - 8(0) = 24[/tex]
[tex]3x = 24[/tex]
[tex]x = \dfrac{24}{3} [/tex]
[tex]x = 8[/tex]
y - intercept = (8,0)
Answer:
x-intercept is 8
y-intercept is -3
Step-by-step explanation:
We can put the equation into slope intercept form to find the y-intercept.
3x - 8y = 24
~Subtract 3x to both sides
-8y = 24 - 3x
~Divide -8 to everything
y = -3 + 3/8x
~Reorder
y = 3/8x - 3
In slope intercept form we know that m = slope and b = y-intercept in the formula [ y = mx + b ] so we know that the y-intercept will be -3. To find the x intercept we can substitute 0 for y and solve for x.
0 = 3/8x - 3
3 = 3/8x
x = 8
Best of Luck!
Is 68 prime or composite
Answer:
composite
Step-by-step explanation:
the number 68 is an even number, which means it is divisible by 2.
Evaluate expression
a) -19 + 3(-13 + 4*3)
b) | -7(2) |
c) 15 – 3 | - 4-2 |
Answer:
well i know the first one
-19+3(-13+4*3)
= -19+3(-13+12)
= -19+3(-1)
= -19-3
= -22
What's the answer for X - 7 < 6
What's the answer for X - 7 < 6?
Solution:Solve the inequality.
x - 7 < 6x < 6 + 7x < 13Answer:The answer is x < 13who ever gets it correctly gets 100 points
1/10 × 2000
1×2000/10
2000/10
200
Job A: $8.95 per hour (40 hours a week)Job B: $16,400 per year
a. Which job pays more?
b. How much more?
Answer:
Job A pays pays better
Step-by-step explanation:
Job A pays more ($18,616) by $2,216 more
there are roughly 52 weeks in a year so multiply that by 40 to get the total hours worked in a year. = 2,080
2,080 hours worked per year multiplied by the hourly pay $8.95 = $18,616
Job A pays $18,616
Job B only pays $16,400
40 Points please help
Answer:
Slope = ⅓ Y-intercept = -2
Step-by-step explanation:
by transforming the equation to y= ⅓x -2
then it becomes Y= ⅓x +(-2)
then you should get m= ⅓ and b = -2
Step-by-step explanation:
(a)
y = mx + b
y = (1/3)x + (-2)
y = 1/3x - 2
(b)
x - 3y = 6
x - 3(0) = 6
x - 0 = 6
x = 6
Only answer number 4 and 3 on page 2. Answer fast
#4
Option d is correct the co-ordinates will be inversed in mirror
#5
Refer to 2nd attachment
What is the LCM of 42 and 63?
Please show work! I'm very confused and don't understand.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]
[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]
[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]
[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]I WILL GIVE BRAINLIEST AND 100 POINTS!! NEED NUMBER 11 (ignore all writing
Demichael orders a set of numbers on his
homework. In descending order, the first
number is 5 1/2 and the last number is 5 1/3
Which of the following numbers is NOT in
Demichael's list?
A V25
B 5.45
C 5 12 름
D 5.34
The numbers are ordered, such that the first number (the largest one) is:
(5 + 1/2)
And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.
We want to see which of the following numbers is not on the list:
A) √25
B) 5.45
C) 5 12
D) 5.34
One of these numbers can only be in the list if it is larger than (5 + 1/3) and smaller than (5 + 1/2).
To see this easier, let´s rewrite both of these:
5 + 1/2 = 5 + 0.5 = 5.5
5 + 1/3 = 5 + 0.33 = 5.33
Then if a number is smaller than 5.33, the number can't be in the list.
Here we can see two numbers that are smaller than 5.33
These are:
Option A) √25 = 5 < 5.33
Option C) 5.12 < 5.33
And there is no number larger than 5.5
Concluding, the numbers that are not in Demichael's list are:
√25 and 5.12
If you want to learn more, you can read:
https://brainly.com/question/7487419
plz help me with this
Answer:
FH - 24
Step-by-step explanation:
We can subtract both lengths to find FH.
37 - 13 = 24
Best of Luck!
5(2x+1)=3(x+4)-5. What is x
Answer:
x = 2/7
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?
9514 1404 393
Answer:
a = 1
Step-by-step explanation:
The slope of the inverse of a linear function is the inverse of the slope of the original function.
The slope of g(x) is the coefficient of x: 1.
The inverse of 1 is 1/1 = 1.
The slope of the function g^-1(x) is 1, so a=1.
_____
Additional comment
g^-1(x) = x +65 . . . . . a=1; b=65
This is a 100 point question. Please get it right. The image below is the question. Please completely show your work and get it correct.
hi <3
multiply the coefficient of x^2 with the last value:
2 x 3 = 6
you need to find a value that multiplies to give 6 and adds to give 5
this would be 3 and 2
now you have:
(x + 3)(x + 2)
we need to incorporate the 2 into it
you can divide the 2 by 2 so that part is fine. however, as 3 cant be divided by 2, you have to carry the 2 up as a coefficient for x
your final answer works out to be:
(2x + 3)(x + 1)
hope this helps :)
helpppppppppppppppppppppppppppppppppp me!
the answer is 44 sorry I am running late but hope this helps
Which numbers are factors of 42? Check all that apply.
0 1
2.
O 3
4
06
8
Answer:
1, 2, 3, 6 are all factors of 42
What is the LCD for the problem below.
5/8−1/7
Answer:
The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .
