Find the slope and y intercept of 2y +8 = 6x + 4
Answers
Answer: y = 3x -2
Slope =3
Y-intercept = -2
Step-by-step explanation:
2y+8 = 6x + 4
Subtract 8 on both sides.
2y = 6x -4
Divide by 2. 2y divided by 2 leaves just y. 6x divided by 2 is 3x. -4 divided by 2 is -2.
Hopefully I did this correctly and it helps you!
Related Questions
Please answer this correctly without making mistakes
Answers
Answer:
14 mi
Step-by-step explanation:
Cedarburg is 22 13/16 miles from Allenville and 8 13/16 miles from Lakeside. You have to solve for the distance from Lakeside to Allenville.
8 13/16 + x = 22 13/16
(8 13/16 + x) - 8 13/16 = 22 13/16 - 8 13/16
x = 14
The distance from Lakeside to Allenville is 14 miles.
a. A bag contains 4 red marbles, 5 yellows marbles, and 7 whites marbles. If a marble is drawn from the bag, replaced, and another marble is drawn,
what is the probability of drawing first a marble and then a marble?
Answers
Answer: 5/64
Step-by-step explanation:
The probability of drawing a red marble on the first draw is 4/16 = 1/4 (since there are 4 red marbles out of 16 total marbles).
After replacing the first marble, the probability of drawing a yellow marble on the second draw is 5/16 (since there are 5 yellow marbles remaining out of 16 total marbles).
Therefore, the probability of drawing a red marble and then a yellow marble is (1/4) x (5/16) = 5/64
Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the crime, the amount of Trioxin in
the swamp was estimated at about 39.2 barrels, and exactly seven days after the crime, it was estimated at 21.5 barrels. Assume that no Trioxin was in the swamp before the crime, and that Trioxin
decays exponentially.
Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after it was dumped, then use that model to answer the following.
1) According to the model, how much Trioxin was initially dumped into the swamp?
ROUND TO ONE DECIMAL PLACE.
About barrels were initially dumped into the swamp.
2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUND TO ONE DECIMAL PLACE.
The Trioxin was decreasing at a rate of barrels per day.
3) How many days after the crime will/did it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUND TO ONE DECIMAL PLACE.
It took or will take about days.
Answers
Answer:
v(t)=39.2(215/392)^((t-4)/3); v(0) ≈ 87.3 bblv'(4) ≈ -7.8 bbl/day18.9 daysStep-by-step explanation:
You have a chemical that decayed from 39.2 barrels after 4 days to 21.5 barrels after 7 days, and you want to know the initial amount, the rate of change after 4 days, and the number of days until the amount is 2 barrels.
Exponential modelGiven two value and times (t₁, v₁) and (t₂, v₂), you can write the exponential function that models this change as ...
\(v(t)=v_1\left(\dfrac{v_2}{v_1}\right)^{\dfrac{t-t_1}{t_2-t_1}}\\\\\boxed{v(t)=39.2\left(\dfrac{215}{392}\right)^{\dfrac{t-4}{3}}}\)
1) Initial valueThe initial amount is v(0):
v(0) = 39.2(215/392)^(-4/3) ≈ 87.3
About 87.3 barrels were initially dumped in the swamp.
2) Rate of changeThe rate of change after 4 days is the value of the derivative of the function at that time.
v'(t) = 39.2(1/3)(215/392)^((t-4)/3))·ln(215/392)
v'(4) = 39.2(1/3)·ln(215/392) ≈ -7.8 . . . barrels per day
The Trioxin was decreasing at a rate of 7.8 barrels per day.
3) Time to 2 barrelsWe can solve for t:
v(t) = 2 = 39.2(215/392)^((t-4)/3)
2/39.2 = (215/392)^((t-4)/3) . . . . . . . . divide by 39.2
ln(20/392) = (t -4)/3·ln(215/392) . . . . . take logs
t -4 = 3·ln(5/98)/ln(215/392) . . . . . . . . . . divide by the coefficient of t-4
t = 4 +3·ln(5/98)/ln(215/392) ≈ 18.9
It will take about 18.9 days for the amount to drop to 2 barrels.
__
Additional comment
Often, an exponential model is of the form ...
v(t) = v₀·e^(kt)
In this form, the model is ...
v(t) = 87.314·e^(-0.20021t) ≈ 87.3e^(-0.2t)
Is this correct or not?
If not please provide correct answer
Answers
Answer:
It is correct please I do not want yo sound rude can you give me brainliest answer.
Answer:
correct steps
Step-by-step explanation:
if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.
Chứng minh A -> B
(C^D)->A
(B^E)->F
D
C
Answers
Answer:
i know what is the correct answer
letter A
Step-by-step explanation:
o i know im genious btw can you brainliest me
Suppose you have a jar with 380 marbles that are either red or green. You want to estimate how may marbles in the jar are red without counting all of them. You take four random samples of 16 marbles. After each sample, the marbles are returned to the jar. Choose the best conclusion you can make.
Answers
Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole
Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.
It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.
To calculate the proportion of red marbles in each sample
To learn more about : marbles
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The student council started with 50 cans of food for the food drive and then
collected 5 per student.
Answers
In 2000, Greenville had a population of 63,205 people. Greenville’s population increased by 2500 people each year. In 2000, Springfield had a population of 50,000 people. Springfields population increased by 9% each year. Write a function to represent each towns population, and determine in what year the populations were equal
Answers
Answer:
year 6.6025 if there is no typo in your question and numbers are right.
Step-by-step explanation:
G = 63205 + 2500x
S = 50000 + 4500x
since 9% of 50000 = 0.09(50000) = 4500
find when G = S
63205 + 2500x = 50000 + 4500x
subtract both sides by 2500x to move x terms to the right
63205 = 50000 + 2000x
subtract both sides by 50000 to move the number to the left, so we can get like terms on each side
13205 = 2000x
divide both sides by 2000
x = 6.6025
Please help me solve this problem.
Answers
Luckily, the integral is basically set up for you:
\(\displaystyle \int_{\theta=0}^{2\pi} \int_{\phi=\frac\pi4}^{\frac\pi2} \int_{\rho=2}^6 \cos(\phi) \, d\rho \, d\phi \, d\theta\)
Since the limits on every variable are constant, and we can factorize \(f(\rho,\theta,\phi) = f_1(\rho) f_2(\theta) f_3(\phi)\), we can similarly factorize the integrals. (This is a special case of Fubini's theorem, if I'm not mistaken.)
So the triple integral is equivalent to
\(\displaystyle \left(\int_0^{2\pi} d\theta\right) \left(\int_{\frac\pi4}^{\frac\pi2} \cos(\phi) \, d\phi\right) \left(\int_2^6 d\rho\right)\)
and each of these subsequent integrals are easy to compute:
\(\displaystyle \int_0^{2\pi} d\theta = \theta \bigg|_0^{2\pi} = 2\pi - 0 = 2\pi\)
\(\displaystyle \int_{\frac\pi4}^{\frac\pi2} \cos(\phi) \, d\phi = \sin(\phi) \bigg|_{\frac\pi4}^{\frac\pi2} = \sin\left(\frac\pi2\right) - \sin\left(\frac\pi4\right) = 1 - \frac1{\sqrt2} = \frac{2 - \sqrt2}2\)
\(\displaystyle \int_2^6 d\rho = \rho\bigg|_2^6 = 6 - 2 = 4\)
Taken together, the triple integral evaluates to
\(\displaystyle \int_{\theta=0}^{2\pi} \int_{\phi=\frac\pi4}^{\frac\pi2} \int_{\rho=2}^6 \cos(\phi) \, d\rho \, d\phi \, d\theta = 2\pi \times \frac{2-\sqrt2}2 \times 4 = \boxed{4\pi(2-\sqrt2)}\)
Plzz help. Giving everything.
D. 24.5
Answers
Answer:
\(\frac{8}{14} = \frac{14}{x+2}\) (since they're similar, set them up as a proportion to find x)
14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)
196 = 8x +16 (subtract 16 from both sides)
180 = 8x (divide both sides by 8)
x= 22.5 (is your answer, or C)
Step-by-step explanation:
What is √5⋅√7+2√35 expressed in simplified form?
Answers
3√35
mark me brainliest please!!
Answer:
3√35
Step-by-step explanation:
since √(ab) = √a·√b you can write √5·√7 as √35
So you have √35 + 2√35 = 3√35
Given: Lines a and b are parallel and line c is a transversal.
Prove: ∠2 is supplementary to ∠8
What is the missing reason in the proof?
Statement Reason
1. a || b, is a transv 1. given
2. ∠6 ≅ ∠2 2. ?
3. m∠6 = m∠2 3. def. of congruent
4. ∠6 is supp. to ∠8 4. def. of linear pair
5. ∠2 is supp. to ∠8 5. congruent supplements theorem
A: vertical angles theorem
B: alternate interior angles theorem
C: corresponding angles theorem
D: alternate exterior angles theorem
Answers
Answer:
C: corresponding angles theoremStep-by-step explanation:
The angles in matching corners are called Corresponding Angles.
The Corresponding Angles Theorem: If a transversal cuts two parallel lines, their corresponding angles are congruent
∠6 ≅ ∠2 as per above statementCorrect answer choice is C.
The missing reason is corresponding angles theorem.
What are corresponding angles?Corresponding angles are angles that have the same relative position or measurement in two similar figures. They are formed when two lines, parallel or not, are intersected by a transversal.
Given that, lines a and b are parallel and line c is a transversal.
We need to prove ∠2 is supplementary to ∠8.
The proof:-
1. a || b, c is a transv. 1. given
2. ∠6 ≅ ∠2 2. corresponding angles theorem
3. m∠6 = m∠2 3. def. of congruent
4. ∠6 is supp. to ∠8 4. def. of linear pair
5. ∠2 is supp. to ∠8 5. congruent supplements theorem
Hence the missing reason is corresponding angles theorem.
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Hello can you help me with this question
Part A: Without using a graphing calculator, which equation could be represented by the accompanying graph?
A) y= x^2-2
B) y =2^-x
C) y= -2^x
D) y= 2^x
Answers
Answer:
Step-by-step explanation:
A
32 is 20% of what number?
Answers
Answer: 160
Step-by-step explanation: 20% of 160 is 32. 100% of 160 is 160, therefore 20 percent of 160 equals 32.
1 Type the correct answer in each box. Use numerals instead of words, Consider this quadratic equation, x2 + 2x + 7 = 21 The number of positive solutions to this equation is The approximate value of the greatest solution to the equation, rounded to Reset
Answers
Answer:
The number of positive solutions to this equation is;
\(1\)The approximate value of the greatest solution to the equation is;
\(2.87\)Explanation:
Given the equation;
\(x^2+2x+7=21\)Let us subtract 21 from both sides;
\(\begin{gathered} x^2+2x+7-21=21-21 \\ x^2+2x-14=0 \end{gathered}\)We can now solve for x using the quadratic formula;
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)from the equation;
\(\begin{gathered} a=1 \\ b=2 \\ c=-14 \end{gathered}\)substituting;
\(\begin{gathered} x=\frac{-2\pm\sqrt[]{2^2-4(1)(-14)}}{2(1)} \\ x=\frac{-2\pm\sqrt[]{4+56}}{2} \\ x=\frac{-2\pm\sqrt[]{60}}{2} \end{gathered}\)so, we have;
\(\begin{gathered} x=\frac{-2\pm\sqrt[]{60}}{2} \\ x=\frac{-2+\sqrt[]{60}}{2} \\ x=2.87 \\ \text{and} \\ x=\frac{-2-\sqrt[]{60}}{2} \\ x=-4.87 \end{gathered}\)Therefore, the number of positive solutions to this equation is;
\(1\)The approximate value of the greatest solution to the equation is;
\(2.87\)What is -1 ⅓ × -⅖
Please explain your answer and show your work.
Answers
Answer:
\(\frac{8}{15}\)
Step-by-step explanation:
Change the mixed number into an improper fraction: -1 × 3 = -3, -3 + 1 = -2. Put -2 over 3: \(\frac{-2}{3}\) Multiply -2/3 and -2/5: \(\frac{-2}{3}\) × \(-\frac{2}{5}\) = \(\frac{8}{15}\)Therefore, the answer is \(\frac{8}{15}\).
Cassandra has $2000 dollars in a bank account that she uses to make automatic $900.01 mortgage
payments each month. If Cassandra stops making deposits to that account, when would automatic
payments make the value of the account zero? Use a table to estimate the solution. Then use a graphing
calculator to approximate the x-intercept
Answers
Answer:
no
Step-by-step explanation:
it's CASSANDRA business so she solve it herself
im not sure this one is confusing
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
Answers
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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WILL GIVE 30 POINTS AND BRAINLIEST PLS HELP
Answers
Answer:
b
Step-by-step explanation:
This a very difficult question but im pretty sure its b
The sides of the triangle are 5 (4^+3^2= 25, square root it to find the hypotenuse and you get 5)
In total it adds to 46
what is the estimated sum of 4 5/12 + 3 8/14
A.7
B.7 1/2
C.8
D.9
Answers
The estimated sum of 7 83/84 is 8 to the nearest whole number.
Addition of mixed fractions:Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.
Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.
Using the first process:
= 4 5/12 + 3 8/14
The whole number are 4 and 3, adding those two together, we have:
= 7 (5/12 + 8/14)
The L.C.M of 12 and 14 is 84.
= 7( (7×5)+ (6*8) ) /84
= 7 (35+ 48/84)
= 7 (83/84)
To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.
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Given: cos a = -3/5, sin b = 5/13, and a and b are second-quadrant angles; find sin(a - b).
63/65
-33/65
33/65
Answers
Answer:
63/65
Step-by-step explanation:
Recall that sin(a-b) = sin(a)cos(b) - cos(a)sin(b)
Therefore, we have:
sin(a-b) = sin(a)cos(b) - (-3/5)(5/13)
sin(a-b) = sin(a)cos(b) + 3/13
Since sin(x) = opposite/hypotenuse and cos(x) = adjacent/hypotenuse, then if cos(a) = -3/5, sin(a) = 4/5. Likewise, if sin(b) = 5/13, then cos(b) = 12/13.
Therefore, sin(a-b) = (4/5)(12/13) + 3/13 = 48/65 + 3/13 = 48/65 + 15/65 = 63/65
Which graph shows the information in the table?
Calories in Salad Dressing
Number of Ounces of Salad
Dressing
2
3
4
5
Total Calories
300
450
600
750
Answers
Answer: Number 2
Step-by-step explanation: yes
Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
Answers
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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what's an isosceles triangle; triangle with 2 equal sides; area of isosceles triangle
Answers
The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.
How big is an isosceles triangle?
If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
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Pls help me. I have been struggling.
Answers
9514 1404 393
Answer:
A, C, F, G, I
Step-by-step explanation:
A relation is "odd" if it is symmetrical about the origin. That is, f(-x) = -f(x). Here are the symmetries of the graphs shown:
A: origin
B: y-axis
C: origin, and x- and y-axes
D: x-axis
E: no symmetry
F: origin
G: origin, and x- and y-axes
H: x-axis
I: origin, and x- and y-axes
an exponential function with a base of 3 that has been transformed from the parent by a vertical stretch by a factor of 4 and a reflection across the y-axis.
Answers
Answer:
idek bro
Step-by-step explanation:
i stink at this math
b) 144 kg in the ratio 1:3:5
Answers
Answer:
9.6666
Step-by-step explanation:
\(144 \times 1 \div 3 \div 5\)
(20, 8), (9, 16)
how do i find the slope
Answers
29°
(11x-65)°
Tried to solve it in many different ways yet still got it wrong.
Answers
The value of 'x' in (11x - 65)° is 17 and hence the measure of that
angle is 122°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
We also know that angles opposite to the equal sides are also equal.
Given, The two line segments are of equal length.
Therefore, 29° + 29° + (11x - 65)° = 180°.
58° + 11x - 65° = 180°.
11x = 187°.
x = 17.
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Jill Janzen's gross weekly pay is $298. Her earnings to date for the year total $14,900. What amount is deducted from her pay each week for Social Security, which is taxed at 6.2%?
Answers
Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.
Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.