A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?

Answers

Answer 1

Answer:

y=3x-5

Step-by-step explanation:

parallel means that both lines share the same gradient.

from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form

now substitute values into formula

y-y1=m (x-x1)

y--2=3 (x-1)

expand brackets and simplify

y+2=3x-3

subtract 2 from both sides of equation

y=3x-5


Related Questions

- 2(x + 3) + 2(x + 4) = 24​

Answers

Answer: no solution

Step-by-step explanation:

First lets simplify

-2(x+3) + 2(x+4) = 24

-2x - 6 + 2x + 8 = 24

We can simplify this further by combining like terms

2=24 is the equation we get after combining like terms.

Since 2 is not equal to 24, the answer is no solution.

Answer:

NO SOLUTION

Step-by-step explanation:

[tex]-2(x+3)+2(x+4)=24\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(x)+(-2)(3)+(2)(x)+(2)(4)=24\\\\-2x-6+2x+8=24\qquad\text{combine like terms}\\\\(-2x+2x)+(-6+8)=24\\\\0+2=24\\\\2=24\qquad\bold{FALSE}\\\\\text{Conclusion:}\\\\\bold{NO\ SOLUTION}[/tex]

A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo only has room for 12 female gazelles. Let x = the number of female gazelles and y = the number of male gazelles. Write the constraints to represent a thriving population of gazelles at the zoo.

A.x > 0 and y > 0
B.0 < x ≤ 12 and 0 < y ≤ 36
C.0 < x ≤ 12 and y > 36
D.x > 0 and y < 23

Answers

Answer:

B.0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Final answer:

The constraints for a thriving population of gazelles at the zoo, with a limit of 12 female gazelles and the need for thrice as many males, are 0 < x ≤ 12 and 0 < y ≤ 36, which matches answer option B.

Explanation:

To represent a thriving population of gazelles in the zoo, we must write constraints that capture the relationship between the number of female gazelles (x) and the number of male gazelles (y). Since the zoo can only accommodate 12 female gazelles, and the herd requires three times more males than females, we can express the constraints as inequalities.

The first constraint pertains to the maximum number of female gazelles, which is 12. Therefore, we have 0 < x ≤ 12. The second constraint relates to the male gazelles, as we need three times as many males as there are females, so y = 3x. Since x has an upper limit of 12, the maximum value for y would be 36 (3 times 12).

Taking into account that we cannot have a negative number of gazelles, the constraints for a population to thrive are:

0 < x ≤ 12: the number of female gazelles must be positive and no more than 12.0 < y ≤ 36: the number of male gazelles must be positive and no more than three times the maximum number of female gazelles.

Given these constraints, the correct answer is B. 0 < x ≤ 12 and 0 < y ≤ 36.

The total cost C ( in dollars) to participate in a triathlon series is given by the literal equation C =90x+35 where x is the number of triathlon in which you participate. If your maximum annual triathlon cost is 1000 what is the maximum number of triathlons in who you could prarticipate?

Answers

Answer:

The answer is below in the photo.

Answer:

We can participate in 10 triathlons.

Step-by-step explanation:

Total cost C to participate in x number of triathlon is given by the expression

C = 90x + 35

If the maximum cost of the annual triathlon is = $1000

Then we can find the maximum number of triathlons by putting C = $1000 in the expression

1000 = 90x + 35

90x = 1000 - 35

90x = 965

x = [tex]\frac{965}{90}[/tex]

x = 10.72

Therefore, we can participate in 10 triathlons.

solve for b. ab + c = d

Answers

Answer:

I guess it is b= d divided by a - c

Answer:

Step-by-step explanation:

ab+c=d

ab=d-c

b(a)=d-c

b=d-c/a

A camera priced at ​$220 is marked down 30​%. Find the price of the camera after the markdown.
The price of the camera after the markdown is ​$___

Answers

Answer:

154

Step-by-step explanation:

220-(220*30%)=154

Use this on google next time so you do not waste points on brainly

Georgia is making sock puppets. Each pair of socks costs $2. georgia bought 6 pairs of socks. How much did she spend?​

Answers

Answer:

$12

Step-by-step explanation:

First you would have to write down the number of socks.  That is 6.  That means 6 is the first part of our equation.  Then, we have to multiply this by the $2.  You have to do this because this is how much each pair costs.  Then you would do 2 times 6 equals 12.

Answer:

If each pair of sock is 2$

and she bought 6

multiply 2 by 6

explanation

2x6 = 12

because a pair of docks is two so multiply by how much pairs she bought

hey i need help i need it done soon plz help it is 3/8 and you add 1/2​

Answers

Answer:

Add: 3

8

+ 1

2

= 3

8

+ 1 · 4

2 · 4

= 3

8

+ 4

8

= 3 + 4

8

= 7

8

The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 2) = 8. The fraction result cannot be further simplified by cancelling.

In words - three eighths plus one half = seven eighths.

Answer:7/8

Step-by-step explanation:The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(3/8, 1/2) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(3/8×1/1)+(1/2×4/4)=?

Complete the multiplication and the equation becomes

3/8+4/8=?

The two fractions now have like denominators so you can add the numerators.

Then:

3/8+4/8=7/8

This fraction cannot be reduced.

A product costs $60 today. How much will the product cost in t days if the price is reduced by $4 a day

Answers

Answer:

[tex]C=60-4t[/tex]

Step-by-step explanation:

A product costs $60 today.

The price is reduced by $4 a day, so

a product will cost $60 - $4 = $56 tomorrow;a product will cost $56 - $4 = $52 after 2 days;a product will cost $52 - $4 = $48 after 3 days;and so on

The genaral formula for the price of the product after t days will be

[tex]C=60-4t[/tex]

: The Imbrium Basin is the largest basin on the moon. A reasonable domain
for the height above the lowest point in the basin is given by
{d0 < d < 3805774}. What does this tell you about the basin?​

Answers

Answer:

Part a) [tex]f(2)=1.57\ sec[/tex]

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) [tex]2,165.43\ sec[/tex]

Step-by-step explanation:

The complete question is

On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d.

Part a: determine f(2) and explain what it represents.

Part b: The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}. What does this tell you about the basin.

Part c: how long would it take a rock to drop from the rim to the bottom of the basin?

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

[tex]f(d)=1.11\sqrt{d}[/tex]

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For d=2 ft

substitute in the function above and solve for f(2)

[tex]f(2)=1.11\sqrt{2}\\f(2)=1.57\ sec[/tex]

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

[tex]d=3,805,774\ ft[/tex]

substitute the value of d in the function f(d)

[tex]f(d)=1.11\sqrt{3,805,774}\\f(d)=2,165.43\ sec[/tex]

The Fort Worth Zoo had 6,195 visitors last week. The zoo is open seven days a
week. If about the same number of people attended the zoo each day, use
compatible numbers estimate the number of people attending on one day.
Record your answer in the griddable.​

Answers

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

[tex]7N = 6195[/tex]

where [tex]N[/tex] is the number of people that would show up to the zoo on a given day.

Dividing both sides by 7 will give us the answer:

[tex]N = 885[/tex]

To estimate the number of visitors at the Fort Worth Zoo per day, we rounded the total weekly visitors to 6,200 and divided by 7. An estimated average daily attendance is about 880 visitors.

To estimate the number of people attending the Fort Worth Zoo on one day last week, we can divide the total number of visitors by the number of days the zoo is open.

We have a total of 6,195 visitors and the zoo is open 7 days a week. Since we are using compatible numbers, we can round 6,195 to the nearest hundred to get 6,200.

Now, we divide 6,200 by 7.

It can be tricky to divide by 7, so let's simplify. We know that 7 times 900 is 6,300, which is slightly more than 6,200.

Thus, we can estimate a bit lower. 7 times 800 is 5,600, which is too low, so we need a number between 800 and 900.

If we try 7 times 850, we get 5,950, which is still low but much closer.

Therefore, an estimate between 850 and 900 for the average daily attendance would be reasonable.

To be more precise, let's pick 880 as a compatible number which when multiplied by 7 gives us 6,160, very close to our rounded number of 6,200.

Hence, approximately 880 visitors attended the zoo each day last week.

Irrational number between 2 and 3

Answers

Answer:

2.084...

Step-by-step explanation:

Just write an non repeating string of any numbers that you think of but not in a pattern which will lie between decimal value of your 2 numbers

Irrational numbers between 2 and 3 include √2, which is approximately 1.414.

Irrational numbers are numbers that cannot be expressed as a ratio of integers. An example of an irrational number between 2 and 3 is √2, which is approximately 1.414. It is not possible to represent √2 as a fraction of two integers.

What is 5/6+2 3/4 PLS HELP ASAP

Answers

Answer:

Exact form: 43/12

Mixed number form: 3 7/12

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

2 3/4 is 11/4 because you do (a b/c) a×b+c=d so 2×4+3=11

You now have 5/6 + 11/4
You put them on the same base
(6×4=24)
(5×4=20)
(11×6=66)
You have
20/24+66/24=84/24
You put back in normal
84-72=12
(72because it’s the biggest multiple of 24 you can fit in 84)
You have 3 full (12×?=72)
So the answer is 3 and 12/24 or 3 and 1/2

4. What is the perimeter of the triangle shown below?
12
273
32

Answers

Answer:

[tex]6\sqrt{2}+2\sqrt{3}[/tex]

Step-by-step explanation:

To find the perimeter of something, you add all sides. But the issue here is simplifying the squares. The easy way to do this is separate out as many squares as you can. You'll see what I mean.

[tex]\sqrt{12} + 2\sqrt{2} + \sqrt{32}\\ \sqrt{4*3}+2\sqrt{2} + \sqrt{4*4*2}\\  \sqrt{4}*\sqrt{3}+2\sqrt{2} +\sqrt{4} *\sqrt{4} *\sqrt{2}\\ see?\\2\sqrt{3}+2\sqrt{2} +4 \sqrt{2}\\ so the answer is:\\6\sqrt{2}+2\sqrt{3}[/tex]

Help please will give brainliest

Answers

Answer:2y(3) +6 +5x(3)

(The numbers in parentheses mean they’re an exponent)

Step-by-step explanation:

Adding like terms means to simply combine terms with the same variable and/or exponent

Since there are three numbers with the same variable (y) they are combined. Since there are three numbers without an exponent/ variable,(the 3 twos) they are combined. There is no other term that can be combined with 5x(3), so you just leave it as is.

Evaluate C(7,3)
A.) 4
B.) 35
C.) 70

Answers

Answer:

math

way

.com

Step-by-step explanation:

Answer:

35, is your answer my friend

5 -b(t+3) = -1 +2n(t-3)

Answers

Answer:

b= - 2nt-6n-6/ 3+t; t≠ -3

I hope this is what you were looking for!

Two hoses are used to fill a swimming pool. Together they fill the pool at a rate of 3 gallons every 5
seconds. An equation representing this is g = 1, where is the time in seconds and g is the number of
gallons. About how many hours will it take to fill the pool if it holds 80,000 gallons?
A.4
B.7
C. 13
D. 37

Help ASAP !

Answers

Answer:13

Step-by-step explanation:

There are hours 2 will it take to fill the pool if it holds 80,000 gallons.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Two hoses are used to fill a swimming pool.

And, Together they fill the pool at a rate of 3 gallons every 5 seconds.

Hence, Time for to fill 80,000 gallons are,

⇒ Time = 80,000 × 3 / 5

⇒ Time = 16,000 × 3

⇒ Time = 48,000 seconds

⇒ Time = 48,000 / 36,000 hours

⇒ Time = 1.33 hours

Learn more about the proportion visit:

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A bathtub empties at 15 gallons per minute. What is this in liters per second?

Answers

Answer:

Step-by-step explanation:

approximately 0.94625 liters per second

Answer:

Step-by-step explanation:

is 1/3 less than 1?​

Answers

Answer:

Yes

Step-by-step explanation:

1/3 is less than 1 because 1/3 is equal to .3333 and so on

.3333 is less than 1

2/3x - 1/6 = 1/2x + 3/6

Answers

Answer:

x=6

Step-by-step explanation:

Step-by-step explanation:

1.Find a common denominator shared by all the terms (6 or multiply each term by 6/1) and multiply each term by the lcd.

4x-1=3x+3

2.Then solve

4x-1=3x+3

4x=3x+4

7x=4

x=4/7

Please give maths division sums of algebraic expressions class 8
HARD ONES MAXIMUM 10

Answers

Answer:

Simplify the following algebraic expressions.

A) -2x + 5 + 10x - 9

B) 3(x + 7) + 2(-x + 4) + 5x

Simplify the expressions.

A) (2x - 6) / 2

B) (-x - 2) / (x + 2)

C) (5x - 5)/10

Solve for x the following equations.

A) -x = 6

B) 2x - 8 = -x + 4

C) 2x + 1/2 = 2/3

D) x/3 + 2 = 5

E) -5/x = 2

Convert to decimals.

A) 1/5

B) 120%

C) 0.2%

D) 4 8/5

Convert to percent.

A) 3/10

B) 1.4

C) 123.45

D) 2 4/5

Which of these numbers is divisible by 3?

A) 156312

B) 176314

Which of these numbers is divisible by 4?

A) 3432

B) 1257

Which of these numbers is divisible by 6?

A) 1233

B) 3432

Which of these numbers is divisible by 9?

A) 2538

B) 1451

Evaluate 8x + 7 given that x - 3 = 10.

+
Simplify the following expression. Assume that each variable is positive.

[tex] \sqrt[3]{88 {x}^{11} {y}^{15} \div 64 {x}^{4} {y}^{6} } [/tex]

Answers

I think this is the answer....

Question pls help!!!!!!!!!

Answers

Hey!

--------------------------------------------

Solution:

72 tropical fish and 5/9 sold.

72 / 9 = 8

8 * 5 = 40

72 - 40 = 32

--------------------------------------------

Answer:

There are 32 fish left in the tank!

--------------------------------------------

Hope This Helped! Good Luck!

Answer:

32 fishes

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] of 72.

Convert 9 to 72. 9 * 8 = 72

Multiply 5 by 8 since it is a numerator. 5 * 8 = 40

40 out of 72 fishes were sold.

72 - 40 = 32

There are 32 fishes left in the tank

Solve the proportion 5/3c=1/6

Answers

Answer:C= 10

Step-by-step explanation:

1.cross multiply and you get 3c=30

2.divide both sides by 3 and you get c=10

Answer:

[tex]c=\frac{1}{10}[/tex]

Step-by-step explanation:

So the trick is to make the number before c = 1.

How do we do that?

We multiply the fraction by it's reciprocal, which is 3/5.

However, we also have to do the same thing to the other side of the equation.

Answering the problem will look like this:

[tex]\frac{5}{3} c=\frac{1}{6}\\\frac{3}{5}*\frac{5}{3}c=\frac{1}{6}*\frac{3}{5}\\\frac{3*5}{5*3}c=\frac{1*3}{6*5}\\\frac{15}{15}c=\frac{3}{30}\\c=\frac{1}{10}[/tex]

So [tex]\frac{1}{10}[/tex] is our answer!

The school cafeteria makes pudding every Wednesday. Each box of pudding mix uses 3 cups of milk. How many quarts of milk will be used to make 80 boxes of pudding mix?

Answers

Answer:

160 cups of milk

Step-by-step explanation:

To calculate how many quarts of milk are needed for 80 boxes of pudding mix, you multiply the boxes by the cups per box to find the total cups (240 cups) and then divide by the number of cups in a quart to get 60 quarts.

To determine how much milk will be used to make 80 boxes of pudding mix, we start by calculating the total number of cups of milk needed. Since each box uses 3 cups of milk, the total number of cups for 80 boxes is:

3 cups/box x 80 boxes = 240 cups

Next, we convert cups to quarts. We know that 1 quart equals 4 cups, so we can set up a proportion:

4 cups = 1 quart
240 cups = x quarts

Cross-multiplying to solve for x gives us:

1x = 240/4
x = 60 quarts

Therefore, the cafeteria will use 60 quarts of milk to make 80 boxes of pudding mix.

3,486 ÷ 2=n
use long divison to solve for the n​

Answers

XD op sksksksk:)))))))))
n for the equation would = 1743

What is 7.8×10^5 hours in days?

Answers

Answer:

32500 Days

Step-by-step explanation:

[tex]7.8[/tex] × [tex]10^{5}[/tex] = [tex]780000[/tex]

We know that there are 24 hours in a day.

⇒24 Hours = 1 Day

therefore [tex]780000[/tex] hours = [tex]\frac{780000}{24} = 32500[/tex] Days

How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 80% solution?

Answers

x = liters of 20% solution

Mixing the 20% solution with the 60 L of 90% solution gives a new mixture with volume (x + 60) L. Each L of the 20% solution contributes 0.2 L of alcohol and thus a total of 0.2x L of alcohol, while the 60 L of 90% solution contributes 54 L of alcohol.

We want the concentration of the new mixture to be 80%, so we require

[tex]\dfrac{0.2x+54}{x+60}=0.8[/tex]

Solve for x:

[tex]0.2x+54=0.8x+42[/tex]

[tex]12=0.4x[/tex]

[tex]\implies\boxed{x=30}[/tex]

So you will need 30 L of the 20% solution.

Final answer:

To get a 80% solution, you would need to mix a certain number of liters of a 20% alcohol solution with 60 liters of a 90% solution.

Explanation:

To solve this problem, we can use the concept of mixture problems. Let's denote the unknown quantity of the 20% alcohol solution as 'x'. We know that the total volume of the mixture will be the sum of the volumes of the two solutions, so:

x + 60 = x + 60

Next, we can express the amount of alcohol in the original 90% solution and the resulting 80% solution:

0.90(60) + 0.20(x) = 0.80(x + 60)

Simplifying this equation will give us the value of 'x', which represents the number of liters of the 20% alcohol solution that must be added to the 60 liters of the 90% solution.

Learn more about Mixture problems here:

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If you have $100.00 to start the summer and you earn $25.00 per day. What equation would represent this?

Answers

100-25x=how much money you have

Hey!

--------------------------------------------------

[tex]\boxed{ \bf 100~+~25x~=~m}[/tex]

--------------------------------------------------

Solution:

m = money at the end of summer.

x = how many days are in summer.

If he starts with 100 dollars at the beginning of summer, then you just want to add it depending on how many days he gets paid $25.

--------------------------------------------------

Hope This Helped! Good Luck!

what is a valid prediction about the continuos function

Answers

Answer:

EX: f(x) ≥ 0 over the interval [-1, 1].

Final answer:

A valid prediction about a continuous function is that it will have no breaks, jumps, or holes, and will exhibit the intermediate value property. If continuity is ensured, we can expect the function to pass through all intermediate values between any two points within a given interval.

Explanation:

A valid prediction about a continuous function is that the function will not have any breaks, jumps, or holes in its graph. This means that for any value within the domain of the function, we can find a corresponding value in the range, making the function predictable and reliable to analyze. A continuous function has the intermediate value property, which tells us that if the function takes on two values, it must take on every value in between at least once. As such, if we know the function is continuous on an interval, we can predict that it will pass through all the intermediate values between any two points in that interval.

An important concept to consider is the change that would invalidate the continuity of such a function. To illustrate, think about what would happen if our continuous function were to suddenly have a point removed or to have a sudden vertical asymptote introduced. This would create a discontinuity. So, when predicting behaviors of continuous functions, we must ensure there are no such changes or 'breaks' occurring within the interval we are considering.

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