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Dovator [93]
2 years ago
14

Look at the line graphed below. Write an equation of a different line that has the same y- Entercept as the line shown, but has

a slope that s two times the slope of the given line. 2 1 х m *** - 1 2 3 5​
Mathematics
1 answer:
AlekseyPX2 years ago
8 0

Supposing the line graphed is y = 2x + 3, the equation of the different line is:

y = 4x + 3.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation is:

y = 2x + 3

Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:

  • Double the slope, hence m = 4.
  • Keep the same y-intercept, hence b = 3.

Then, the equation of the different line is:

y = 4x + 3.

You can learn more about the equation of a line at brainly.com/question/24685547

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An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation
nalin [4]

Answer:

A=900(1+\frac{0.06}{2})^{2(t)}

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

A=900(1+\frac{0.06}{2})^{2(t)}

4 0
2 years ago
Explain how you can find the center of dilation of a triangle and its dilation.
Naddika [18.5K]

In mathematics, the term "center of dilation" refers to a constant point on a surface from which all other points are either enlarged or compressed. The center of dilation and the scale factor comprise the two properties of a dilation.

4 0
3 years ago
Among 400 randomly selected drivers in the 16 minus 18 age​ bracket, 293 were in a car crash in the last year. If a driver in th
professor190 [17]

Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a​ year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a​ year.

As this value is high, there is reasons to be concerned about it.

4 0
3 years ago
What is another way to write the expression t×(14-5)
Lady bird [3.3K]
T(14 - 5) = 14t - 5t or t(14) - t(5) 
7 0
3 years ago
Read 2 more answers
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard devi
Olin [163]

a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

The given parameters:

the mean of the distribution, m = 0.06 kg

standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

(i) Find the position of "less than 0.052 kg (standard size)":

  • 1 standard deviation below the mean = m - d
  • m - d = 0.06 kg  -  0.009 kg = 0.051 kg

(<em>the </em><em>standard size</em><em> is 1 standard deviation below the mean</em>)

  • less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samples
  • Number of standard size = 0.16 x 1800 = 288 eggs

(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

  • 0.052 kg is 1 standard deviation below the mean
  • 2 standard deviation above the mean = m + 2d
  • m + 2d = 0.06 + 2(0.009) = 0.078 kg

(<em>the </em><em>medium size</em><em> is between 1 std below the mean and 2 std above the mean</em>)

  • Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%
  • Number of medium size = 0.82 x 1800 = 1,476 eggs

(iii) Find the position of "Greater than 0.075 kg (large size)":

  • 0.078 kg is 2 standard deviation below the mean
  • greater than 2 std above the mean in a normal distribution = 2 % of the data samples
  • Number of large size = 0.02 x 1800 = 36 eggs

<u>Check:</u> <em>288 eggs + 1476 eggs + 36 eggs = 1,800 eggs</em>

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

the selling price of the medium size = Gh¢0.80

the selling price of the large size = Gh¢0.95

(i) The expected profit made from selling the standard size:

Profit = total revenue - cost of production

Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

Profit = total revenue - cost of production

Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

Learn more here: brainly.com/question/22520030

3 0
2 years ago
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