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3 years ago

1. What is the value of the expression ƒ2 + 8 if ƒ = 7?

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

6 0

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

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the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li

Burka [1]

Answer: The equation for line b is $y = -\frac{3}{4}x + 5$

The equation for line t is $y= \frac{4}{3} x+5$

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

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3 years ago

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

Alona [7]

$\displaystyle \\ 
\text{We use the following equation:} \\ \\ 
 \frac{n}{2} = n - 38 \\ \\ 
We solve for n: \\ \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\ \\ 
n = 2 \times n - 2 \times 38 \\ \\ 
n = 2n - 76 \\ \\ 
2n - n = 76 \\ \\ 
\boxed{n = 76} \\ \\ 
\text{Verification: } \\ \\ 
\frac{n}{2} = n - 38 \\ \\ 
\frac{76}{2} = 76 - 38 \\ \\ 
\boxed{38 = 38 ~~~ Correct }$

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3 years ago

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob

Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z= $\frac{x-mean}{SD}$

For this problem,

x= 136

Plug in this value into the formula

z-score= $\frac{136-100}{20}$

=1.8

Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

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3 years ago

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kodGreya [7K]

Answer:

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Step-by-step explanation:

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Answer:

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