Answer:
y=3/2x-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(8-4)
m=(5+1)/4
m=6/4
simplify
m=3/2
y-y1=m(x-x1)
y-(-1)=3/2(x-4)
y+1=3/2(x-4)
y=3/2x-12/2-1
y=3/2x-6-1
y=3/2x-7
Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know how many hours (h)(h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?
Answer:
Step-by-step explanation:
101010:151515 is the same as 2:3 or 2 logs for 3 hours. Using that you can set up your equation as such:
2:3
x:9
And then multiply across:
2x9 = 3x
18/3 = x
6 = x
Jovie can keep the fire running for 6 hours with 9 logs.
Another way to do this is to divide the log numbers, 9/3 = 3, and then multiply the hours by this number, 2x3 = 6.
Hope that helps
what is the approximate value of a local maximum for the polynomial
Answer:
D) 2.5
Aaliyah- ツ
Line a goes through the points (- 3, 4) and (1, 2) . Line b goes through the point (6, 2) and (8, 1) . Are lines a and b parallel, perpendicular, or neither?
Answer:
They are parallel
Step-by-step explanation:
Find slope of point A
(-3,4), (1,2)
2-4=-2 1-(-3)=4
slope of a= -2/4 or -1/2
Find slope of point B
(6,2), (8,1)
1-2=-1, 8-6=2
slope of b= -1/2
Both have different slopes, and it can't be perpendicular because they have different denominator values.
Answer:
Step-by-step explanation:
(-3,4) (1,2)
difference is (y2 - y1) /( x2 - x1)
-2 / -4
-1/2 is the slope
(6,2) (8,1)
same as the last
-1 / 2
these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.
How i can usea the distribute property on this equation?
Answer:
9(3-2r)
Step-by-step explanation:
27-18r the greatest common factor between 27 and 18 is 9. therefore, we can factor 9 out.
9(3-2r)
Hope this helps.
Answer:
9(3-2r)
Step-by-step explanation:
Describe how total job benefits and total employee compensation differ
Answer:
in my opinion they do not.
Step-by-step explanation:
Answer: Total compensation is everything the company provides an employee in exchange for working. It includes base salary, bonuses, benefits, perks and on-site amenities.Total compensation indicates that an employee is making two or three times his base salary.
In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?
Topic:CBSE board Class 10
Correct answer will be mark as brainliest.
Given that
PQ || AB
CP = x+3
PA = 3x+19
DC = x+3
CA = x
QB = 3x+4
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (3x+19) / (x+3) = (3x+4) / x
On applying cross multiplication then
⇛ x(3x+19) = (3x+4)(x+3)
⇛ 3x²+19x = 3x(x+3)+4(x+3)
⇛ 3x²+19x = 3x²+9x+4x+12
⇛ 3x²+19x = 3x²+13x+12
⇛ 3x²+19x-3x²-13x = 12
⇛ (3x²-3x²)+(19x-13x) = 12
⇛ 0+6x = 12
⇛ 6x = 12
⇛ x = 12/6
⇛ x = 2
∴ , x = 2
Answer: The value of x for the given problem is 2
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".
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The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
x=
base=
height=
Answer:
x=10
base=4inches
height=15inches
Step-by-step explanation:
A=1/2bh
30=1/2(x-6)(x+5)
60= x²+5x-6x-30
x²-x-90=0
x²-10x+9x-90=0
x(x-10) +9(x-10)=0
(x+9)(x-10)=0
x= -9 or 10
x cannot be negative
Therefore x= 10
base= 10-6
=4inches
height=10+5
=15inches
Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.
1) What does the slope mean in real life in the context of the problem?
2) What does the y-intercept mean in real life in the context of the problem?
Answer in complete sentences.
Answer:
1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3
Step-by-step explanation:
The solution is
1) The slope of the graph m = 3 represents the growth of the tree per year
2) The y-intercept means the initial height of the tree , when x = 0
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 14 )
Let the second point be Q = Q ( 1 , 8 )
Now , the slope of the two points on the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( 3 - 1 )
Slope m = 6/2
Slope m = 3
Therefore , the slope is 3 feet per year
b)
The y intercept is calculated from the equation of line , when x = 0
So , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 14 = 3 ( x - 3 )
On simplifying the equation , we get
y - 14 = 3x - 9
Adding 14 on both sides of the equation , we get
y = 3x + 5
Now , when x = 0
y = 3 ( 0 ) + 5
y = 5 feet
From the graph we can see that , at 0 years the initial height of the tree is also 5 feet
Therefore , the y intercept is 5 feet
Hence , The slope of the equation is 3 and y intercept is 5
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Use an area model to find the quotient: 132 ÷ 3 = ________.
Answer:
44
Step-by-step explanation:
Plz Heeeeelp! 25 POINTS! I'm so desperate I made two of these worth 25 points!
Answer:
The answer is B, f(x)=5(2/5)^(z)
Step-by-step explanation:
I did the graphs for all of them and graph B was identical to the one in the picture.
Answer:
(b) f(x) = 5(2/5)^x
Step-by-step explanation:
All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.
That is, ...
f(1) = 5(2/5)^1 = 5(2/5) = 2
You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.
f(x) = 5(2/5)^x
What are the steps to convert a number from standard notation to scientific notation
Answer:
Step-by-step explanation:
Let's take 4200 as an example.
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
What theorem can be used to prove that the two triangles are congruent?
SAS
AAS
SSS
ASA
Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.
Answer:
142
Step-by-step explanation:
Hope this helps
Complete the table for the given rule.
Rule: y=x-1/4
PT.2 OF MY HW IT IS UNIT RATE PLEASE HELP!
Answer:
Car 1
Step-by-step explanation:
Answer: Car 1
Step-by-step explanation:
Notice that the speed of each car is the slope of the line that represents its average speed.
Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:
256/4 = 64
Therefore the average speed of Car 1 is 64 mi/h.
Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.
Therefore the average speed of Car 2 is 55 mi/h.
Answer: Car 1.
A basket contains four apples, three pears, two peaches, if we draw one fruit from the basket, what is the probability of getting a peach or an apple?
Answer:
The probability of getting a peach or an apple is 2/3.
Step-by-step explanation:
There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.
After Donovan gives Mabel 6 pears, she has
(x + 6) pears. If Mabel gives one-third of her
pears to Nelson, how many pears, in terms
of x, does Nelson have?
Answer:
see explanation
Step-by-step explanation:
Mabel has (x + 6) pears , then Nelson has
[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
After Donovan gives Mabel 6 pears, she has (x + 6) pears.
If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,
⇒ (x + 6) / 3
Simplify the equation, then we have
⇒ (x + 6) / 3
⇒ x / 3 + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
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Guys, please help me faster will receive a Brainliest award if you answer my 2 of the math questions with the best given answers with the best step-by-step explanations, so here is an image for you to answer my 2 of the math questions as soon as possible. Well anyways, good luck on answering my 2 of the math questions and I will check the answers to see if it’s appropriate! :)
Answer:
Question 10.
Length of the side of the square = [tex]\sqrt{441} = 21[/tex]
By Pythagoras' Theorem,
Hypotenuse = [tex]\sqrt{21^{2} + 20^{2} }[/tex] (H > 0)
= 29 m
Ans: 29 m
Question 11.
By Pythagoras' Theorem,
Length of longer side of 42 km = 42- [tex]\sqrt{18^{2} - 15^{2} }[/tex] (L > 0)
= 32.050 km (5 s.f.)
By Pythagoras' Theorem,
Length of the unknown side = [tex]\sqrt{32.050^{2} + 15^{2} }[/tex] (L > 0)
= 35.4 km (3 s.f.)
Ans: 35 km
Factor the expression completely: x3 - 48x
Answer: The answer is X(X^2 - 48).
HELP MEEEE PLEASEEEE!!!!!
The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}
Answer:
{x| -2 ≤ x < 5}
Step-by-step explanation:
The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C
Look here for visuals:
The domain of the step function g(x) is (c) {x I -2 <= x <5 }
The domain of a function is the set of input values the function can take.
From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle
The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values
Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }
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Please help me Find the slope please no links or bots please and thank you please actually help me please
A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave, placing them into three equal groups of six bats. To decide the treatment for each group, the biologist places three slips of paper labeled control, treatment group 1, and treatment group 2 in a hat and randomly selects 2 slips of paper. The first piece of paper gives the treatment for the first group, the second piece of paper gives the treatment for the second group, and the remaining treatment is given to the third group.
Which component is missing from the biologist’s process?
The biologist did not use proper labeling on the pieces of paper.
The biologist did not use the appropriate number of treatment groups.
The biologist did not randomly assign the individual bats to the treatment groups.
The biologist did not randomly choose the weather on the night for bat capture.
Answer:
The biologist did not use proper labeling on the pieces of paper.
Hit Brainliest if this was helpful :)
You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.
What is a unit rate that describes your juice?
Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?
Answer:
1. Ounces
2. 62 miles per hour
Step-by-step explanation:
1. 12 OUNCES and 36 OUNCES
2. 496/8 = 62 (check 62x8 = 496)
PLEASE ANSWER ASAP
Which graph
Answer:
graph 4
Step-by-step explanation:
Express the perimeter of the following
rectangle in terms of n.
3n-7
n + 5
1. O 4n - 2
2. O 8n - 14
3. O 8n - 4
4. O 6n - 14
Answer:
8n - 4.Step-by-step explanation:
Perimeter: 2B + 2L=> 2(3n - 7) + 2(n + 5)=> 6n - 14 + 2n + 10=> 8n - 4Conclusion:
Therefore, the perimeter in terms of n is 8n - 4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
its A
Step-by-step explanation:
Find the area of each figure
Answer:
54
Step-by-step explanation:
.5*9*12
Second part to my question ToT Plz help Double points :D
Answer: 3
Step-by-step explanation:
V=whl
Look at triangle ABC. Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2. What is the length of side AB of the triangle? (1 point) a 3 b 5 c Square root of 6 d Square root of 13
The length of side AB from the given coordinate grid is; √20
How to find the length of the side of a triangle?The formula for distance between two coordinates is;
d = √((y2 - y1)² + (x2 - x1)²)
From the graph attached in the given brainly link, we have;
A(4, 5) and B(2, 1)
Thus;
AB = √((1 - 5)² + (2 - 4)²)
AB = √(16 + 4)
AB = √20
In conclusion, the length of side AB is √20
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7. Explain what step was taken to go from the first equation to the second equation.
step 1: 2(x - 4) = -12
step 2: 2x - 8 = -12
A. Distribute the 2 on the left side of the equation.
B. Subtract both sides by 4.
C. Divide both sides by 2.
D. Add 4 on the left side.
Option A
your just multiplying the 2 to what's in parentheses