Answer:
y = - 2x + 3
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 )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )
m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 2x + 3 ← equation of line
Given f(x)=4x - 7 8x +8
what is the end behavior of the function?
The end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
[tex]\rm f(x) = \dfrac{4x-7}{8x+8}[/tex]
For the end behavior:
As x → ∞ f(x) → 1/2
And x → -∞ f(x) → 1/2
Thus, the end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
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Answer: As x increases to negative infinity, f(x) increases to 0.5; as x increases to infinity, f(x) increases to 0.5.
Proof of validity is shown below.
What is the value of the expression 25 ÷ 5 + (6 x 2) − 4? (2 points) 12 9 7 13
Answer:
13
Step-by-step explanation:
you use the system of equations...
:)
Suzie went to the carnival and spent $2.85 on a lemonade and $3.25 on a hot dog. How much money did Suzie spend in total? (3 points)
a
$6.10
b
$6.50
c
$6.85
d
$7.10
Answer:
the answer is A: 6.10
Step-by-step explanation:
well, to find the total money you add the two amounts which are $2.85+$3.25 which will add up to $6.10.
can someone do this for me please?!
The different parts of a circle are radius, diameter, chord, tangent, arc, centre, secant, sector. Write down the circle formulas. If “r” is the radius of the circle, then the formula for the area and the circumference of a circle are:
Barbara bought a notebook for $1.40 using 35% of the money she had. How much money did she start with?
Answer:
$4
Step-by-step explanation:
$1.40 is 35% of the money she started with.
The money she started with is 100 * 1.40/35 which is $4.
Answer:
$4
Step-by-step explanation:
[tex]\frac{1.40}{x} =\frac{35}{100}[/tex]
1.40 * 100 = 140
35 * x = 35x
140/35 = 4 (x gets canceled out)
Hey guys! 5th grade math! Does someone think they can help me out with this? offering 20 points for both of these!
Answer:
3 and 8.
9 and 2/6.
Sorry if im wrong I havent been in 5th grade in along time.
Answer:
1. Is D. 3 and 8
2. is B 9 2/6
Step-by-step explanation:
find the surface area 10.2 mi 14 mi
Answer:
The surface area = 320.442450666159 mi²Step-by-step explanation:
Formula : ( surface area of a cone )_________________________
The total surface area = The curved surface area + area of the base
____________________________________________________
→The curved surface area = π × r × g = π × r × (√(h2 + r2))
where g is the slant height of the cone and r is the radius of the base
and h is the height of the cone
and g = √(h2 + r2)
→Area of the base = π × r²
We get :
The curved surface area = π × r × (√(h2 + r2))
= π × 5.1 × √(14^2+(5.1)^2)
= 238.729625746288
Area of the base = π × r²
= π × (5.1)^2
= 81.712824919871
Conclusion:
The total surface area = The curved surface area + area of the base
= 238.729625746288 + 81.712824919871
= 320.442450666159
i need some help on who worked the fastest
Answer:
B. Kevin
Step-by-step explanation:
First off, great job on answering the rest! Kevin worked the fastest because he has the lowest time spent per flyer. This means that for every flyer he spent time working on, he would complete it faster than Bill or Dante. This can also be estimated from the table given because although kevin only made 6, he spent only 24 minutes while Bill spent 56 minutes and only made 8. The smaller minutes spent in comparison to the amount of flyers made shows that Kevin is the fastest.
There are 10 sixth graders, 14 seventh
graders, and 6 eighth graders on the track
team. How many ways can the coach choose
one sixth grader, one seventh grader, and
one eighth grader?
The number of ways can the coach choose one sixth grader, one seventh grader, and one eighth grader is 840.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!. Here, n is the number of objects.
There are 10 sixth graders, 14 seventh graders, and 6 eighth graders on the track team. All the graders has to be arranged in an order. Thus number of arrangement will be,
[tex]n=10\times14\times6\\n=840[/tex]
Thus, the number of ways can the coach choose one sixth grader, one seventh grader, and one eighth grader is 840.
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A. 3.667 inches
B. 5.333 inches
C. 8.125 inches
D. 8.333 inches
The length of regtangular garden is represented by 3x-4 and width by 2x-5. what is the area
Answer:
6x^2-20x+16
Step-by-step explanation:
=(3x-4)(2x-5)
expand))
6x^2-23x+20
hi what is pi and why do we need pi and math
Answer:
Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.
Step-by-step explanation:
Have a great rest of your day
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is 2.67034165508… rational or unrational?
A grocery store chain surveys customers on their shopping habits. One question in the survey asks for monthly grocery expense. Another question asks for the number of children in the family.
To compare the monthly grocery expense based on family size, the results are split into two categories:
Families with up to 2 children.
Families with 3 or more children.
The box plots for each category are shown.
image 47edc356579240329edef378a3e37bd0
Which statement is BEST supported by the box plots?
A
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the median being much lower for the "0-2 Children" category than for the other category.
B
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "0-2 Children" category having more outlier results.
C
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the minimum and maximum being closer together in the "0-2 Children" category.
D
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "3 or More Children category" having more outlier results.
The statement supported by the box plot is D. The grocery expense for the category of "3 or more children" is more spread out than the other category.
What is a box plot?A box plot simply means a standardized way that's used in displaying the dataset.
In this case, the grocery expense for the category of "3 or more children" is more spread out than the other category.
The reason for the above is because the families in the "3 or more children category" having more outlier results.
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The model represents an equation. What value of x makes the equation true?
An equation is formed of two equal expressions. The value of x that can satisfy this equation is 1.875.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The model represents the equation as given below,
[tex](6 \times -x)+(6 \times 1) = (2 \times x) + (9 \times -1)\\\\-6x+6=2x-9\\[/tex]
The value of x that can satisfy this equation can be written as,
[tex]-6x+6=2x-9\\\\-6x-2x=-9-6\\\\-8x = -15\\\\8x=15\\\\x = \dfrac{15}{8} = 1.875[/tex]
Hence, the value of x that can satisfy this equation is 1.875.
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the first term in this number pattern is 7.
7,12,10,15,13,..
what is the eighth term in this pattern
Answer:
21
Step-by-step explanation:
The pattern goes +5 , -2
From 7 you add 5, and than from 12 you minus 2. If you keep this up you get the following numbers.
7,12,10,15,13,18,16,21,19,24,22,27,25,30...ect
21 is the 8th term in the patterns so thats your answer.
The eighth term in the given number pattern is 21. This is obtained by the logic, of adding 5 and subtracting 2.
Number pattern:These keep a relationship between a series of numbers. That relationship is given by logic.
Some of the examples are like Even number pattern, Odd number pattern, Fibonacci series, etc.
Calculating the 8th term in the given pattern:Given that the number pattern is 7,12,10,15,13....
In this pattern 7 is the first term
So, the logic is adding 5 and subtracting 2
7+5=12 (2nd term)
12-2=10 (third term)
10+5=15 (fourth term)
15-2=13 (fifth term)
13+5=18 (sixth term)
18-2=16 (seventh term)
16+5=21 (eighth term)
Therefore, the eighth term is 21.
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which of the following is written in scientific notation? A. 82,000,00 B. (6.3) (10^6) C. (2874) (10^6) D. (648.5) (10^6)
Answer:
the answer is the C
Step-by-step explanation:
what equals 5 in multiplication and -4 in addition
Answer:
-2 +i-2 -iStep-by-step explanation:
There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.
__
If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...
(x -a)(x -b) = 0
Expanding that, we find an opportunity to use the given sum and product numbers:
x² -(a+b)x +ab = 0
x² -(-4)x +5 = 0
Rewriting this in vertex form gives ...
(x² +4x +4) +1 = 0
(x +2)² +1 = 0
We can find the values of x by subtracting 1 and taking the square root.
(x +2)² = -1
x +2 = ±√(-1) = ±i
x = -2±i
The two numbers of interest are -2+i and -2-i.
Select all of the expressions that are equivalent to 4x - 5 +6. (Select all that apply.)
A. 4x+ (-5)+(6)
B. 4x - 6+5
C. 4x + 1
D. 5+6 - 4x
I'm pretty sure it's A and D, sorry if I'm wrong
Have a nice day!
Answer:
c and d
Step-by-step explanation:
5+6 - 4x is just 4x - 5 +6 but flipped
4x + 1 is the answer to 4x - 5 +6
Enter the values needed to find the
length AB. (Simplify your answer.)
A(-3a, b)
B(3a b)
AB = V([?D2 + (0)2
Cra, 5b)
Distance Formula
Pleases help
The value that can take the place of "?" is -6a. The length of line AB is 6a units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
The length of a line with two points known is written as,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the coordinate of points A and B are (-3a,b) and (-3a,b), respectively. Therefore, the length of the line AB can be written as,
[tex]AB = \sqrt{(-3a-3a)^2+(b-b)^2}\\\\AB = \sqrt{(-6a)^2+(0)^2}\\\\AB = 6a[/tex]
Hence, the length of line AB is 6a units.
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Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 20, and the length of N K is 9.
Law of cosines: a2 = b2 + c2 – 2bccos(A)
What is the value of n to the nearest whole number?
18
22
29
41
Answer:
B just took the test
Step-by-step explanation:
have a good rest of your day
What is the probability that a sum of a pair of number cubes will be even and greater than 6 if the first cube lands on 4?
I guessed the answer to this question and got it right with 1/18 out of pure luck. I have no idea why it is 1/18! I'd love a quick explanation :D
Answer:
Step-by-step explanation:
If the first cube lands on a 4, then the second cube must land on 4 5 or 6.
It cannot land on 5 because that would make it the sum odd. (4 + 5 = 9)
So that leaves 4 and 6. You cannot use 2 because 4 + 2 = 6. The sum must be greater than 6.
So we are left with 2 results. The second cube should be 4 or 6
The results are 4 and 4
and 4 and 6
The results of throwing 2 dice are 36 ways in all. Only 2 combinations work.
2/36 = 1/18
I'm not sure that this is correct but it is the way done by the person writing the question.
Is (2, 10) a solution to this system of inequalities?
y
y > 4x + 1
yes
no
Answer:
yes
Step-by-step explanation:
Which number can both 6 and 12 be evenly divided by?
A. 2
B. 3
C. 4
D. 6
E. 8
F. 12
Answer:
by 3
Step-by-step explanation:
cuz 2x3=6 right so in the other 3x4=12 so is that good for you :D
What is the correct answer NEED IT ASAP
Answer:
Answer is D) [tex]g(x)=(x+1)^2+3[/tex]
Step-by-step explanation:
[tex]f(x)=(x-h)^2+k[/tex]
h = shift left or right
k = shift up or down.
Given:
h = -1 , k = 3
Put that into the equation f(x)
[tex]f(x)=(x-(-1))^2+(3)\\f(x)=(x+1)^2+3[/tex]
Helpppp how do I do this?
The angles shown are
<QPR<SPRPR is the bisector of angle P
So
<P=<QPR+<SPR or =<QPShow do you balance ___NaBr + ___Ca--> CaBr2 + Na
Step-by-step explanation:
NaBr 2 102.89
Ca 1 40.08
CaBr2 1 199.89
Na 2 22.99
Chloe lives in an area where she runs the air conditioner during the 4 hottest months of the year. the air conditioner runs for 7 hours per day at a cost of 21 cents per hour. how much does she spend per year on utility bills for the air conditioner?(assume there are 30 days in each month) a. $705.60 b. $588.00 c. $216.09 d. $176.40 please select the best answer from the choices provided a b c d
The amount of money she spends per year on utility bills for the air conditioner is; D: $176.40
How to solve algebra word problems?We are told that;
Cost of running the air conditioner = 7 hours per day
Cost of running the air conditioner = 21 cents per hour = $0.21 per hr.
She runs it for four months at 7 hours per day. Thus;
Total number of hours for the 4 months = 7 × 30 × 4 = 840 hours
Total cost for the 4 months = $0.21 per hr. × 840 hours = $176.4
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1882-9937?
Please help I'm not smart and may I have a friend? ill give brainliest :)
Step-by-step explanation:
1882 - 9937
the easiest way to do it is to turn it around :
9937 - 1882
= 8055
then you add a subtraction sign at the back
= - 8055
find m< A
inscribed angles and arcs
Answer: 115 degrees
Step-by-step explanation: