Write the equations of two lines that are parallel to the line 3x+6y-5=0

Answers

Answer 1

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations


Related Questions

A company that makes​ hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie

Answers

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

pls help me on this i don't know what to do ​

Answers

Answer:

D.

Step-by-step explanation:

Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]

Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]

Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]

      p,q are x-intercepts

x-intercepts given in graph: -2,4

[tex]y=a[x-(-2)](x-4)[/tex]

eqn 1: [tex]y=a(x+2)(x-4)[/tex]

Plug in the given point to find 'a' : (3,-5)

[tex]-5=a(3+2)(3-4)[/tex]

[tex]-5=a(5)(-1)[/tex]

[tex]1=a[/tex]

Substitute 'a' in to eqn 1.

[tex]y=1(x+2)(x-4)[/tex]

eqn 2: [tex]y=(x+2)(x-4)[/tex]

Expand eqn 2. (can use FOIL)

[tex]y=x^2-2x-8[/tex]

What value of n makes the equation true?

Answers

Answer:

10

Step-by-step explanation:

When multiplying numbers of the same base the exponents are added

therefor

n + 10 = 20

n = 10

Answer:

10

Step-by-step explanation:

y^n × y^10 = y^20

y^(n+10) = y^20

n+10 = 20

n = 20-10

n = 10

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458

Answers

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

[tex]y=-x^2+72x-458[/tex]

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Steel chain costs $8.20 per metre. How much does it cost to buy 50mm of chain?

Answers

Answer:

[tex]\$0.41[/tex]

Step-by-step explanation:

Convert millimeters to meters:

[tex]50\:\mathrm{mm}=0.05\:\mathrm{m}[/tex]

At a price of $8.20 per meter, the total price would be [tex]$8.20\cdot 0.05=\boxed{\$0.41}[/tex]

LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO

Answers

You want all of the answers or just one?

Answer:

Step-by-step explanation:

opposite sides of a parallelogram are equal . So,

NM = OL

2x + 5 = x + 10

2x - x = 10 - 5

x = 5

substitute the value of x

NM = 2x + 5

=2*5 + 5

=15

for NO also substitute 5 inplace of x

The number of students using a cell phone application doubles every seven days. The initial number of users is 100. Write an equation for f(t) which represents the number of students who are using the application after t days

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Initial number of users

[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]

[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]

When:

[tex]N=N_0\ 2^{rt}\\\\[/tex]

    [tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]

Checking the value:

After 14 days:

[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]

Help asap please im failing

Answers

Step-by-step explanation:

Convert each fraction by setting up proportion out of 100.

[tex] \frac{60}{90} = \frac{?}{100} [/tex]

[tex] \frac{78}{150} = \frac{?}{100} [/tex]

[tex] \frac{75}{120} = \frac{x}{100} [/tex]

Cross multiply each fraction. let x represent the missing number.

[tex]6000 = 90x[/tex]

[tex]7800 = 150x[/tex]

[tex]7500 = 120x[/tex]

Solve for x

For the first equation.

[tex]x = 66.66666[/tex]

For the second equation

[tex]x = 52[/tex]

For the third equation,

[tex]x = 62.5[/tex]

Round each missing value to the nearest whole value and add the % sign.

60/90=67%

78/150=52%

75/120=63%

He scored the highest on his English test.

On his english test he scored 67%
On his science test he scored 52%
On his math test he scored 63%
To calculate these you would divide by putting the amount of points he earned over the total possible points. Then convert the decimal to a percentage.
He scored the highest on his english test.

. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50

Answers

Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer

High school geometry

Answers

Answer:

It would be 12. Do you need me to explain or are you good?

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

PLEASE HELP: Evaluate tan^2θ for θ = 60°

1/3
3/4
1
3

Answers

Answer:

3

Step-by-step explanation:

tan 60 = root(3)

tan² 60 = {root (3)}²

tan² 60 = 3

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

is B and E. They both equal 81

SOMEBODY PLEASE HELPPP ME!!!!

Answers

Answer:

15.6

Step-by-step explanation:

We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6

Please give brainliest

Hope this helped

Question 2: *


What is an equation of a line that is perpendicular to the line whose
equation is 2y + 3x = 1?

Answers

Answer:

[tex]y = \frac{2}{3} x[/tex]

Step-by-step explanation:

Hope it is helpful...

Jorden has already saced 35$. He wants to have 80$. He earns $6 per hour doing yard work which function will help jorden gigure out how many more hours [h] he needs to work

Answers

Answer:

Number of hours= 7.5

Step-by-step explanation:

Giving the following information:

Amount saved= $35

Hourly rate= $6

Total objective= $80

To calculate the number of hours to be saved, we need to use the following formula:

Number of hours= difference needed / hourly rate

Number of hours= (80 - 35) / 6

Number of hours= 45/6

Number of hours= 7.5

The following table shows the salary of 7 people in an office last year.

Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

Mean of worker's salary = £27,785.71 (Approx.)Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)

Step-by-step explanation:

Given:

Total number of worker = 7

Find;

1] Mean of worker's salary

2] Mean of worker's salary[Excluding Deva's income]

Computation:

Mean = Sum of all observation / Total number of observation

1] Mean of worker's salary = [13,500 + 27,500 + 13,750 + 79,000 + 18,750 + 27,500 + 15,000] / 7

Mean of worker's salary = [194,500] / 7

Mean of worker's salary = £27,785.71 (Approx.)

2] Mean of worker's salary[Excluding Deva's income] = [13,500 + 27,500 + 13,750 + 18,750 + 27,500 + 15,000] / 6

Mean of worker's salary[Excluding Deva's income] = [115,500]/7

Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)

What is the 8th term in the geometric sequence described by this explicit
formula?
an=6x3(n-1)

Answers

Answer:

13122

Step-by-step explanation:

an = 6 x 3^(n - 1)

n = 8

a8 = 6 x 3^(8 - 1) = 6 x 3^7 = 6 x 2187 = 13122

The above person is Correct, they deserve more Rating

--to brainly staff*     If you delete this answer, something is wrong with this world, im trying to help the people who are unsure about the above answer having a low rating, to tell them that it is the correct answer. Thank you

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.

Answers

The open circle of the positive 9 at 3 x+2

19.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y= -2x2 - 1?

A. y= 3x2 - 3

B. y= -3x2 + 3

C. y= -3x2 + 1

D. y= -3x2 - 1

Answers

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.

To find the equation/

What is quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

By definition, the graph of Quadratic function is a parabola.

The Standard form of a Quadratic function is the following:

[tex]f(x)=ax^{2} +bx+c[/tex]

Where "a", "b" and "c" are real numbers (a≠0)

It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.

So, given the following Quadratic equation:

[tex]y=-2x^{2} -1[/tex]

You can identify that:

IaI=2

Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.

[tex]y=-3x^{2} +1[/tex]

Where:

IaI=3

Notice that:

3>2

Learn more about quadratic equation here:

https://brainly.com/question/23957028

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An angle is bisected by a segment forming two new angles find m

Answers

Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

12
If m ABC = 122°, and mZABD = 71°,
then mZDBC = [ ? 1°
Enter

Answers

Answer:

[tex]122 - 71 = 51 \\ m < 51[/tex]

Answer:

DBC= 40˚

Step-by-step explanation:

Since we already know what ABC and ABD is we could use these information to get what DBC is.

Since ABD and DBC adds together to sum up to ABC we could use this info to create this equation:

ABD+DBC=ABC

Replace ABD and ABC with the number that it is equal to

71˚+DBC=112˚

Move 71˚ to the other side by subtracting

DBC=112˚-72˚

Which is 40˚

So the answer is 40˚

Hope this helped!

12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.

Answers

1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.

2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.

Do the conditions for a mean confidence interval calculation hold?

Let x be the sample mean

Let s be the sample standard deviation

Let n be the sample size

Let α be the significance level

Let Z be the standard normal distribution value.

To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:

1. Random sampling:

The sample of 125 workers was selected randomly.

2. Independence:

We assume that each worker's commuting time is independent of each other.

3. Sample size:

n = 125 > 30. This satisfies the condition for the central limit theorem to apply.

4. Normality:

The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).

Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.

Read more about confidence interval

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What is the sum of 4.2 × 10^5 and 5.3 × 10^5

Answers

Answer:

4.2 x 10^5 = 420,000

5.3 x 10^5  = 530.000

Step-by-step explanation:

Suppose a city with a population of 700,000 has been growing at a rate of 7​% per year. If this rate​ continues, find the population of this city in 25 years. The population in 25 years will be approximately...?

Answers

Answer:

approximately 1,925,000

Step-by-step explanation:

700,000 * 0.07 = 49,000    this would be the growing rate per year.

49,000 * 1,225,000    this would be the population grown in 25 years.

700,000 + 1,225,000 = 1,925000    this would be the total population that was in the city and the population that has grown in the 25 years.

Hope this helps

WILL


GIVE BRAINLIST



SOLVE


SIX TIMES A NUMBER ADDED TO 8 IS 32 find the number

Answers

Answer:

6*4+8=32

Step-by-step explanation:

32-8=24

24/6=4

so 6*4=24

24+8=32

6x+8=32

6x+8-8=32-8

6x=24

6x÷6=24÷6

X=4

Answer is 4

Might be a bit confusing but hope that helps :)

Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .

Answers

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

Find each product

1. (3x)(x^2y^3)

2. (5a^3b)(2ab)

Answers

1.[tex](3x)( {x}^{2} {y}^{3} )[/tex]

= [tex]3 {x}^{3} {y}^{3} [/tex]

2.[tex](5 {a}^{3} b)(2ab)[/tex]

=[tex]10 {a}^{4} {b}^{2} [/tex]

Please help me with these questions

Answers

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?

Answers

Answer: Hi. The height of the tree is 27 ft

Step-by-step explanation:

Answer link- https://socratic.org/answers/601885

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