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3 years ago

What is the slope of the line represented by the equation y = - 글 x + 끝?

Mathematics

1 answer:

AveGali [126]3 years ago

7 0

Given:

Consider the given equation is:

$y=-\dfrac{7}{2}x+\dfrac{11}{3}$

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

$y=mx+b$ ...(i)

Where, m is the slope and b is y-intercept.

We have,

$y=-\dfrac{7}{2}x+\dfrac{11}{3}$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{7}{2}$

Therefore, the slope of the given equation is $-\dfrac{7}{2}$ .

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Henri has $24000 invested in stocks and bonds. The amount in stocks is $6000 more than three times the amount in bonds. Call the

andrey2020 [161]

Answer:

Henri invested $ 4,500 in bonds and $ 19,500 in stocks.

Step-by-step explanation:

Given that Henri has $ 24000 invested in stocks and bonds, and the amount in stocks is $ 6000 more than three times the amount in bonds, to determine the amount that Henri invested in stocks (S) and the amount he invested in bonds (B), the following calculations must be performed:

6000 + 3B + B = 24000

3B + B = 24000 - 6000

4B = 18000

B = 18000/4

B = 4500

S = 6000 + 3x4500

S = 6000 + 13500

S = 19500

Thus, Henri invested $ 4,500 in bonds and $ 19,500 in stocks.

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3 years ago

A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represent the strengt

ss7ja [257]

Answer:

Mean = 3640

Mode = 4100

Median = 3830.

Step-by-step explanation:

We are given the following data in the question:

Strength of casts (in psi):

3970,4100,3100,3200,2950,3830,4100,4050,3460

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}$

$\displaystyle\frac{3970+4100+3100+ 3200+ 2950+ 3830+4100+ 4050+ 3460}{9} = \displaystyle\frac{32760} {9} = 3640$

Mode is the entry with most frequency. Thus, for the given sample mode = 4100.

Median

Since n = 9 is odd,

Formula:

$Median = \displaystyle\frac{n+1}{2}th~term$

Data in ascending order:

2950,3100,3200,3460,3830,3970,4050,4100,4100

Median = 5th term = 3830.

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3 years ago

Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Kay [80]

Answer:

y = - 1/4 + 4

Step-by-step explanation:

y = 4x - 7

Slope = 4

Slope of the perpendicular line = -1/4

Point (8,2)

(b) y-intercept: 2 - (-1/4)(8)

= 2 + 2 = 4

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3 years ago

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HACTEHA [7]

Answer:

(c) is closest to the correct answer

Step-by-step explanation:

The question answers itself: "Mr. Jones's prescription calls for 1.04 tablets PER DAY, thus the amount of tablets Mr. Jones should talk daily are 1.04. Since none of the answers in the answer set have '1.04' in them, we have to use some basic logic:

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2 years ago

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Lena [83]

Answer:

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2 years ago