Answers
Answer:
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex]
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 ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-1}{4+2}[/tex] = [tex]\frac{5}{6}[/tex] , thus
y = [tex]\frac{5}{6}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = [tex]\frac{20}{6}[/tex] + c ⇒ c = 6 - [tex]\frac{20}{6}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of line
Related Questions
Which line has a slope of 12 and a y-intercept of 2?
Answers
Answer:
This is the picture answer :)
Step-by-step explanation:
The equation of the line with the given slope and y-intercept is y=12x+2.
Given that, the slope of a line=12 and y-intercept=2.
What is the slope-intercept form of the line?Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Where, m=slope and b=intercept.
Now, substitute slope=12 and y-intercept=2 in y=mx+b.
That is, y=12x+2
Therefore, the equation of the line is y=12x+2.
To learn more about the equation of a line visit:
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i dont understand how to do this
Answers
Question #2 Answer: 76
Calculate 4 to the power of 3 and get 64.
64−(−3)381+9≈76
Calculate −3 to the power of 3 and get −27.
64−−2781+9=76
Divide 81 by −27 to get −3.
64−(−3)+9=76
The opposite of −3 is 3.
64+3+9=76
Add 64 and 3 to get 67.
67+9=76
Add 67 and 9 to get 76.
76
---------------------------------------------------------------
Question #3 Answer: -4
Calculate 2 to the power of 4 and get 16.
16−324−12=−4
Divide 24 by 3 to get 8.
16−8−12=−4
Subtract 8 from 16 to get 8.
8−12=−4
Subtract 12 from 8 to get −4.
−4
find 5 rational numbers between 1/3 & 2/5
Answers
Answer:
41/120, 7/20, 43/120, 11/30, 3/8
Step-by-step explanation:
Write the numbers.
1/3 & 2/5
We need a common denominator, but not the least common denominator. Both 3 and 5 are factors of 60, so let's use 60 as the common denominator.
Multiply 1/3 by 20/20:
1/3 = 20/60
Multiply 2/5 by 12/12:
2/5 = 24/60
Let's multiply each fraction again, but this time by 2/2.
1/3 = 40/120
2/5 = 48/120
Now it's easy to find 5 numbers between 40 and 48, so we get:
41/120, 42/120, 43/120, 44/120, 45/120
Some of these fractions can be reduced, so our answer is:
41/120, 7/20, 43/120, 11/30, 3/8
Use the diagram on the right to answer the following
a) Name the circle
b) Name two segments
c) name a ray
d) name an angle whose vertex is point D
Answers
Answer:
see below
Step-by-step explanation:
A circle is named by the point in the center.
Circle C
A segment is named by two points on the line.
Segment AD and segment BC
A ray is a part of a line that has a fixed starting point but no end point.
Ray CE → Arrow going from C to E
The vertex is in the middle of the angle name that has three letters
< CDA
Solve 2x2 – 6x + 10 = 0 by completing the square.
Answers
Answer:
Step-by-step explanation:
2x^2-6x+10=0
2(x^2-3x)+10=0
2(x-(3/2))^2-9/4)+10=0
2(x-(3/2))^2+10-9/2=0
2(x-(3/2))^2+(20-9)/2=0
2(x-(3/2))^2+11/2=0
2(x-(3/2))^2=-11/2
square is always positive so there is no solution
Solve 2x^2+x=15.!!!!
Answers
Isolate the variable by dividing each side by factors that dont contain variables
Answer: x=3
The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value
Answers
Answer:
The P-value is 0.0353.
Step-by-step explanation:
We are given the six measurements of a sprinter's reaction time show below;
X = 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds.
Let [tex]\mu[/tex] = mean sprinter's reaction time
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 0.150 seconds {means that the mean sprinter's reaction time is at most 0.150 seconds}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 0.150 seconds {means that the mean sprinter's reaction time is more than 0.150 seconds}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = ~
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{0.939}{6}[/tex] = 0.1565 seconds
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 0.0068 seconds
n = sample of measurements = 6
So, the test statistics = [tex]\frac{0.1565-0.150}{\frac{0.0068}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= 2.341
The value of t-test statistics is 2.341.
Now, the P-value of the test statistics is given by the following formula;
P-value = P( > 2.341) = 0.0353.
{Interpolating between the critical values at 5% and 2.5% significance level}
On a local sports team 90% of 50 players are right handed. . How many right handed players are there
Answers
45 players are right handed
George bought 3 peppers for a cost of $0.40 each. How much will he pay for the peppers?
Answers
Answer:
Hey there!
Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.
Hope this helps :)
Find two numbers between 3.456 and 3.457
Answers
Answer:
3.4567
3.4568
Step-by-step explanation:
We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.
We need to dive to the ten-thousandths place to get numbers between the two.
Maddie ordered a square print of a photo that has an area of 9 square inches. What is the perimeter of the print?
Answers
Answer:
12 inches
Step-by-step explanation:
area of square is given by side ^2 = side * side
given
area of square print = 9 sq. inches
side ^2 = 9 sq. inches
[tex]\sqrt{side ^2} = \sqrt{9} \ sq. \ inches\\side = 3 \ inches[/tex]
Thus, side length of print is 3 inches.
Perimeter of square is given by 4*side
Perimeter of print is = 4*side = 4*3 inches = 12 inches answer
Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno, de los cuales vendio cinco.¿Cuanta azucar quedo en el costal?
Answers
Answer:
Quedan 3 libras de azúcar en el costal.
Step-by-step explanation:
Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:
[tex]x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}[/tex]
[tex]x = 25\,lb[/tex]
Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:
[tex]x = 28\,lb-25\,lb[/tex]
[tex]x = 3\,lb[/tex]
Quedan 3 libras de azúcar en el costal.
The total amount of sugar left in the sack is 3 pounds.
Using the conversion:
1 kg = 2lb
2.5kg =5lb
If she sold 5 pounds out of the total package, the amount of pounds sold will be 5 * 5lb = 25lb.Amount of sugar left in the sack = Total - amount sold
Amount of sugar left in the sack = 28lb - 25lb
Amount of sugar left in the sack = 3lb
Learn more on conversion here: https://brainly.com/question/11207931
If have 492.08 how much do you have to save up to get 754 I need this asapppp
Answers
Write the inverse of f (x) = 6x
f -1(x) =
Answers
Answer:
f-1(x) = x/6
Step-by-step explanation:
y = 6x
--> x = y/6
rewrite : (substitute x for y and y for x to get the reverse function)
y = x/6
The next model of a sports car will cost 5.8% more than the current model the current model cost 31,000 how much will the price increase in dollars what will be the price of the next model
Answers
Answer:
1798 and 32798
Step-by-step explanation:
31000/100=310
310x5.8=1798
The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2+ 3). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
Answers
Answer:
x - 5
Step-by-step explanation:
x^3 -5x^2 +3x -15 = x^2 +3 times length
therefore:
(x^3 -5x^2+3x -15)/(x^2 +3) = length
= x - 5
PLEASE PLEASE HELP VERY FAST
Answers
Answer:
y=4
Step-by-step explanation:
66 = 9y + 5y + 7 + 3
66 = 14y +10
subtract 10 from each side
56 = 14y
Divide 56 by 14, and you get 4 = y
I hope this helped!
solve the radical exponents and show your work!
please help me
Answers
Answer:
x = 126
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex](x-1)^{\frac{2}{3} }[/tex] - 25 = 0 ( add 25 to both sides )
[tex](x-1)^{\frac{2}{3} }[/tex] = 25 ( raise each side to the power of 3 )
(x - 1)² = 25³ = 15625 ( take the square root of both sides )
x - 1 = [tex]\sqrt{15625}[/tex] = 125 ( add 1 to both sides )
x = 126
Answer:
126, -124
Step-by-step explanation:
The steps
(x-1)²/³ - 25 = 0(x-1)²/³ = 25(x-1)² = 25³(x-1)² = (5³)²x- 1 = ± 125x = 1 ± 125x₁ = 126x₂ = - 124
what is the length of AD, in centimeters?
Answers
Answer:
AD=2
Step-by-step explanation:
[tex]\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2[/tex]
Anne creates necklaces and rings to sell. It takes her 3 hours to make a necklace and 1 hour to make a ring. If she makes 10 items in 2 standard 8-hour work days, how many necklaces and rings did Anne make during those 16 hours?
Answers
3 individual hours to make a necklace, and 1 hour to make a ring. according to the problem, she made 10 items in 16 hours. this problem will most likely be trial and error. let’s try one first guess.
my first guess will be, maybe she will make 6 rings and 4 necklaces. 6 times 1 is 6, which takes 6 hours for the rings. 4 times 3 is equal to 12. 6 + 12 is too high! let’s try again.
what about 6 rings and 2 necklaces? 6 times 1 is 6, so that’s 6 hours. 2 times 3 is 6 hours! 6 plus 6 is 12, which is close, but not quite there!
let’s try 7 rings and 3 necklaces! 7 times 1 is 7 hours. 3 times 3 is equal to 9 hours! total that together, 7 plus 9, is equal to 16 hours spent!
so, the answer would be, “Anne made 7 rings and 3 necklaces within 16 hours.” hope this helped!:)
Jimmy is celebrating his 16th birthday at Pew-Pew Laser Tag. His parents have budgeted $600 for his birthday party. If the laser tag company charges a $40 clean up fee and $25 per person, find the greatest number of people that Jimmy can invite and still stay in his budget.
Answers
Answer:
$600 - $40 = $560
$560/ $25 = 22.4
this means he can have up to a total of 22 people at his party
Factor the trinomial 5x^2-x-4
Answers
Answer:
(5x+4)(x-1)Step-by-step explanation:
[tex]5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)[/tex]
Asif makes a cuboid of plasticine of sides 75cm, 35cm and 21cm. How many such cuboids will he need to form a cube?
Answers
Answer:
The number of cuboids that will be needed to form a cube is 2625 cuboids
Step-by-step explanation:
To form a cube, we have;
The length = The height = The depth
The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.
Therefore;
The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;
75 = 5 × 5 × 3
35 = 5 × 7
21 = 3 × 7
Therefore, multiplying 75 by 7, we get;
75 × 7 = 525
Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;
525/35 = 15
525/21 = 25
Therefore, the cube will be;
The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front
The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides
The height of the cuboid will be 25 cuboids with the side 21 cm high
The total number of cuboids is therefore;
7 × 15 × 25 = 2625 cuboids
The number of cuboids that will be needed to form a cube = 2625 cuboids.
Which statement is true? Group of answer choices 8.01 is a smaller increase in sales then 8.001. A debt of $17 is a larger value than a debt of $20. LaTeX: \frac{2}{3} 2 3 below zero is a lower temperature than 6 below zero. One half an apple is equivalent to 8 fourths apples.
Answers
Answer: The only true statement is:
" A debt of $17 is a larger value than a debt of $20."
Step-by-step explanation:
Let's analyze the options:
A) " 8.01 is a smaller increase in sales then 8.001"
Here you can see the difference:
8.01 - 8.001 = 0.009
The difference is positive, then 8.01 > 8.001.
Then as we are talking of increases in sales, the numbers are positive, then we have that 8.01 is a larger increase in sales than 8.001.
B) "A debt of $17 is a larger value than a debt of $20."
A debt is written as a negative number, then:
A debt of $17 is written as -$17, and a debt of $20 is written as -$20.
Then -$17 is a smaller negative number than -$20
-$17 > -$20
Then this statement is true.
C) " 2/3 bellow zero is lower than 6 bellow zero"
ok, 2/3 bellow zero is: -2/3
6 bellow zero is: -6
-2/3 is larger than -6
-2/3 > -6
then -6 is lower than -2/3, the statement is false.
D) "1/2 of an apple is equivalent to 8/4 apples"
Well, here you can do the quotients:
1/2 = 0.5
8/4 = 2
So these numbers are not equivalents.
graph the following lines y=2/3 x +4
Answers
Answer:
See attached graph.
Step-by-step explanation:
This equation is already in slope-intercept form.
This means the term next to the x is the slope, and the constant being added is the y-intercept.
We know that the y-intercept will be 4 because that’s the constant being added. We also know the slope is [tex]\frac{2}{3}[/tex].
A slope of [tex]\frac{2}{3}[/tex] will increase in x by 3, for every increase in y by 2.
This info can help us make the graph.
Hope this helped!
The graph below shows the eye color for a classroom of students.
Answers
Answer:
it is Greater than because blue and green combined equal to 12
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answers
Answer:
Step-by-step explanation:
x - 9/12 + 8/12 = 17/12
x - 1/12 = 17/12
x = 18/12= 3/2 = 1 1/2
Value of x = (4 / 3) which makes the given equation true.
What is variable?" Variable is defined as the value which changes as per the condition act on it."
According to the question,
Given equation,
x - (3/4) + (2/3) = (17 / 12)
Convert all fraction into like fractions we get,
x - (3/4) ×(3/3) +(2/3)×(4/4) = (17 /12)
⇒x - (9/12) + (8 /12) = (17 /12)
⇒x - (1/12) = (17 /12)
⇒x = (17/12) +(1/12)
⇒x= (18 /12)
⇒x= (3/2)
Hence, Value of x = (4 / 3) which makes the given equation true.
Learn more about variables here
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A florist is making blue and white flower arrangements. He has 24 blue carnations and 36 red carnations. Each arrangement has the same number of blue carnations and the same number of red carnations. He uses all the flowers to make the greatest number of matching arrangements.
There should be __ total arrangements. ( 2, 4, 6, 12 )
He should include __ blue carnations in each arrangement. ( 2, 4, 6, 12 )
He should include __ red carnations in each arrangement. ( 2, 3, 4, 6 )
Answers
Answer:
12 arrangments, 2 blue carnations in each arrangement, 3 red carnations in each arrangment.
Step-by-step explanation:
We can find the gcd of 24 and 36, getting 12.
Therefore, there should be 12 total arrangements.
There are 24 blue carnations:
24 / 12 = 2 blue carnations in each arrangement.
There are 36 red carnations:
36 / 12 = 3 red carnations in each arrangment.
solve the inequality 5x - 4 > 4 - 3x
Answers
Answer:
x>1
Step-by-step explanation:
5x - 4 > 4 - 3x
Add 3x to each side
5x+3x - 4 > 4 - 3x+3x
8x -4 > 4
Add 4 to each sdie
8x-4+4 > 4+4
8x> 8
Divide each side by 8
8x/8 >8/8
x > 1
Step-by-step explanation:
5x-4>4-3x
5x+3x>4+4
8x>8
8x/8>8/8
x=1
Why is 7.8 an irrational number?
Answers
Hope it helps :)
Answer: It is a rational number
Step-by-step explanation:
any number that can be written in the form of fraction is rational number (or as the a decimal that has a end or repeating decimal are rational number)
7.8=39/5
Hope this helps!! :)
Please let me know if you have any question