Answer:
y = 5/2x + 6
Step-by-step explanation:
Find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{11-21}{2-6}\\\\m=\frac{-10}{-4}\\\\m=\frac{5}{2}[/tex]
Use point-slope form to find the equation in slope-intercept form:
[tex]y-y_1=m(x-x_1)\\\\y-11=\frac{5}{2} (x-2)\\\\y-11=\frac{5}{2}x-5\\\\y=\frac{5}{2}x+6[/tex]
The equation of the line for the function will be y = 5/2x + 6.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the graph of a linear function passes through points (2, 11) and (6,21).
Slope = ( 21 - 11 ) / ( 6 - 2 )
Slope = 10 / 4
Slope = 5 / 2
The y-intercept will be calculated as:-
y = mx + c
y = ( 5 / 2 )x + c
11 = ( 5 / 2 ) x 2 + c
c = 11 - 5
c = 6
The equation of the line will be:-
y = mx + c
y = (5/2)x + 6
To know more about an equation of the line follow
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Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?
Answer:
The answer is below
Step-by-step explanation:
1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:
Average speed = total distance / total time
Total distance = d miles + w miles
Jacqui drives three times as long as she walks during the trip, hence:
time spent driving = 3t
Total time = 3t + t
Average speed = total distance / total time
a = (d + w) / (3t + t)
2) (3t + t) represents the total time that Jacqui spends traveling to the beach.
3) Given that a = 36 miles per hour, total time = 2 hours
a = total distance / total time
36 miles per hour = total distance / 2 hours
total distance = 72 miles
Total distance = distance walk + distance drove
72 = distance walk + 70
Distance walk = 2 miles
Bab isn’t good with quick mafs
Answer:
153.86
Step-by-step explanation:
Formula area circle = πr²
Solve:
Area = 3.14* 7²
Area = 3.14 * 49
Area = 153.86
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
which expression is equivalent to 2x^(2)+11x+5
Answer:
(x + 5)(2x + 1)
Step-by-step explanation:
Given
2x² + 11x + 5
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = + 10 and sum = + 11
The factors are + 10 and + 1
Use these factors to split the x- term
2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )
= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term
= (x + 5)(2x + 1) ← in factored form
the sum of 43.9 and 4 groups of a number
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
if x= 3-2^2 then find the value of x^2+1÷x^2
X = 3-2^2
Simplify x:
3-4 = -1
X = -1
Replace x in the equation and solve:
(-1) ^2 + 1 /(-1)^2
(-1)^2 = 1
Simplify to get 1 + 1/1 = 1+ 1 = 2
The answer = 2
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,7) and (9,-2)
Answer: 10.3
Step-by-step explanation:
Use the diagram to determine which expressions you
can use to find 60% of 90.
Check all that apply.
O 3 x 0.20
O 0.60 x 90
O 0.90 x 0.60
O 3 x 20%
O 3 x 18
(IN A TEST PLEASE HELP)
Answer:
You can use 0.60 × 90, 3 × 18 works as well.
Step-by-step explanation:
Hmmm....let's see.
You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.
We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Answer:
2.35%
Step-by-step explanation:
Firstly, we calculate the z-score of each
we have this as;
z-score = (x - mean)/SD
from the question, mean is $1,500 while standard deviation is $250
So for each;
z-score = (750-1500)/250 = -750/250 = -3
z-score = (1000-1500)/250 = -500/250 = -2
Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean
We can calculate this by using the empirical rule chart;
By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%
BNATT73ZGEZZU63F
free reedem code
Thanks! But what is it for??
Answer:
Thanks I got my free thing from this code that points out where to redeem it
Step-by-step explanation:
the number 32747 written to 4 significant figure is
Answer: 3275
Step-by-step explanation:
Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?
A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00
Answer:
The correct option is D) $1,248.00
Step-by-step explanation:
First calculate $24 at 36 hours
24 * 36 = $864
then
calculate $48 at 8 hours because of double time
48 * 8 = $384
then
add them both up
864 + 384 = $1248
Which are the solutions of x2 = -13x – 4?
Answer:
x=3.75
Step-by-step explanation:
Factor the following expression: $55z^{17}+121z^{34}$.
Answer:
2r5r
jr = 986 which is 459=100 equals wrong
The factorization of the given expression [tex]55z^{17}+121z^{34}[/tex] is [tex]11z^{17}(5+11z^{17})[/tex].
What is the factorization of an expression?"Factorization is a method of finding factors for any polynomial or any algebraic expression."
The given expression is
[tex]55z^{17}+121z^{34}[/tex]
By factorizing it, we get:
[tex]55z^{17}+121z^{34}\\= 11z^{17}(5+11z^{17})[/tex]
Learn more about factorization of an expression here: https://brainly.com/question/11994062
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Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9
Answer:
Step-by-step explanation:
From the given question, the following statements and reasons can be matched;
Statement Reason
1. <1 and <2 are linear pair Given
2. <1 and <2 are supplementary Linear pair postulate
3. <1 ≅ <2
4. <1 ≈ <2 Given
5. m<1 = m<2 Substitution POE
6. m<1 + m<2 = [tex]180^{o}[/tex] Def of supplementary angles
7. 2(m<1) = [tex]180^{o}[/tex] Simplify/ Combine like terms
8. m<1 = [tex]90^{o}[/tex] Definition of right angle
9. 2(m<2) = [tex]180^{o}[/tex]
10. g ⊥ h Def of perpendicular lines
Please help me with this question!!
Answer:
ok so for g times h you would have to foil it and then you would multiply it by f of X
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
Find the volume of the pyramid shown.
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation:
Ranking correct answer brainliest :)
Answer:
115
Step-by-step explanation:
angle DEF is an inscribed angle and arc DF is the arc it intercepts
if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts
Hence angle DEF = 1/2 of arc DF
If arc DF = 230 then angle DEF = half of 230 or 230/2
230/2=115
Hence angle DEF = 115
Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x
the answer is d hopes this helps you
2V2 km
2 km
X
A) 2V5 km
C) 2 km
B) 2V3 km
D) 4 km
HELP PLEASEE
Answer:
[tex]x=2\sqrt3\ km[/tex]
Step-by-step explanation:
Given that,
The base of a triangle = 2 km
The perpendicular height of the triangle = [tex]2\sqrt{2} \ km[/tex]
We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :
[tex]x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km[/tex]
So, the value of x is equal to [tex]2\sqrt3\ km[/tex].
What is the sign of -x/-y when x > 0 and y > 0?
Answer:
pretty sure its positive
Step-by-step explanation:
hope this helps, have a great day!
Answer:
A is correct
Step-by-step explanation:
if we know that both x and y are positive, they are both going to be negative
and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something
A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!
Answer:
60 cups
Step-by-step explanation:
We can use ratios to solve
20 cups x cups
--------------- = -------------------
4 loaves 12 loaves
20 * 12 = 4 *x
240 = 4x
Divide by 4
240/4 = 4x/4
60 =x
60 cups
A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?
Answer:
84 feet
Step-by-step explanation:
4 inches× 7 inches=28inches
28 inches×3feet=84feet
The Grade 5W students at the Eber Prep School wanted to create a mural on one
side of the walls in their classroom. the area of the wall is 36 square meters or 36
meters square.
Answer:
the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about
A. X=3 m
B. X=5 m
C. X=6 m
D. X=9 m
Answer:
ok so we can divide 15 by 5 to get 3
so we know the building is 3 times bigger
so we multiply 3 by 3 to get 9
so the answer is D
Answer:
9
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
Letting h be the height of the tower
15 h
----- = ------
5 3
Using cross products
15*3 = 5h
Divide each side by 5
45/5 = 5h/5
9 = h
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
y = mx + c (slope/intercept form)
c = 0 (this is the y intercept)
The format will be of y = mx
The gradient acts as the slope (m)
'y' acts as the line represented on the graph, or the 'times visited'
'x' is the independent variable, or the 'days for sale'
m = 10/5 = 2 (rise/run on the line shown)
m = 2
y = 2x
40 days > . y = (2 x 40), y = 80 (number of times the house has been visited)
70 times visited > . 70 = 2x
70 / 2 = 35
x = 35 (days for sale)
(1)/(x^(-2))+(1)/(x^(-1))+(1)/(2)
Answer:
not touching x-axis
Step-by-step explanation:
the graph is not touching the x-axis, that is all i can say
Answer:
([tex]x^{2}[/tex] + [tex]x[/tex] + [tex]\frac{1}{2\\}[/tex] )
https://www.symbolab.com/solver/step-by-step/%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-2%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-1%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(2%5Cright)
You can use the link above :))
Which of the following quadratic regression equations best fits the data
shown below?
Please help and thank you.
Answer:
"B" ... see the image...
Step-by-step explanation:
Are you supposed to do this by hand???
You can use desmos, excel etc. to calculate different regressions
Find the average rate of change (-4,-7)(-2,3)
