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iren2701 [21]
2 years ago
5

Select the correct answer.

Mathematics
1 answer:
earnstyle [38]2 years ago
3 0

The equations are both the same with a slope of 2 and y-intercept of 3.

<h3>Solution to system of equation</h3>

A line is the distance between two points. Given the equations below;

2y - 4x = 6

y = 2x + 3

___________

y - 2x = 3

y = 2x + 3

The equations are both the same with a slope of 2 and y-intercept of 3. The graph of the equation is plotted below.

Learn more on equation of a line here: brainly.com/question/13763238

#SPJ1

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A bag contains yellow marbles and red marbles,65 in total. The number of yellow marbles is 5 more than 4 times the number of red
Lostsunrise [7]
Let x equal the number of red marbles.
65 = x + (4x + 5)
65 = 5x + 5
60 = 5x
12 = x
65 - 12 = 53
53 yellow marbles.
3 0
3 years ago
In the accompanying diagram, what is sin E? A. B. E C. D. 4 G A B С OD​
IRINA_888 [86]

Answer:

Sin(E) = \frac{4}{5}

Step-by-step explanation:

The full question is as follows :

To find - In the accompanying diagram, what is sin E?

Proof -

We know that,

Sin(theta) = (opposite side) / (hypotenuse)

From the diagram, we can see that,

Base = 3

Perpendicular = 5

Hypotenuse = 5

So,

For angle E,

Opposite side = 4

Hypotenuse = 4

∴ we get

Sin(E) = \frac{4}{5}

5 0
3 years ago
A Roth IRA is advertised to pay 1.5% annual interest. You researched the rate of inflation to be 1.15% this year. What is the ac
jekas [21]

Answer: 0.35%

Step-by-step explanation:

Given the following :

Advertised interest rate = nominal rate = 1.5%

Inflation rate = 1.15%

The real rate of return is calculated by:

[(1 + nominal rate) / ( 1 + inflation rate)] - 1

[(1 + (1.5/100)) / (1 + (1.15/100))] - 1

[(1 + 0.015) / ( 1 + 0.0115)] - 1

[ 1.015 / 1.0115] - 1

1.0034602 - 1 = 0.0034602

Real rate of return = (0.0034602 * 100)%

Real rate of return = 0.346%

3 0
3 years ago
A tree is 4 meters tall. About how tall is the tree in feet (ft)? (1 meter is approximately 39 inches.)
Bumek [7]
The answer is 13 ft because 39 times 4 is 156 and 156 divided by 13 is 12
7 0
3 years ago
Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

5 0
2 years ago
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