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3 years ago

Twice the difference of a number and 7 equals 5

Mathematics

1 answer:

RideAnS [48]3 years ago

4 0

Hey there!

Let's write an equation given this information. We will use x to represent the number.

2(x-7)=5

Now, we use the distributive property to remove the parentheses.

2x-14=5

Now, we add 14 to both sides.

2x=19

We divide both sides by 2.

x=9.5

Therefore, our number is 9.5

I hope this helps!

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Evaluate lim x=π/4(3x - tanx)

Karo-lina-s [1.5K]

Answer:

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$ = $3(\frac{\pi }{4} )$

Step-by-step explanation:

Explanation:-

Given that

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$

= $\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)$

= $3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )$

= $3(\frac{\pi }{4} )+ 1 )$

= $3(\frac{\pi }{4} )$

5 0

3 years ago

For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?

myrzilka [38]

To get the function y = -2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero:
5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86

8 0

3 years ago

There are eight runners in the 100-meter dash. In how many ways can the runners finish in first, second, and third place?

Inessa [10]

Answer is below.......

3 0

3 years ago

Read 2 more answers

The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed be

nadya68 [22]

Answer:

a= 13.15 years

b= -0.62 years/$

Step-by-step explanation:

Hello!

Given the variables

Y: Age of a used car. (years)

X: Price of a sold used car. ($000)

The linear regression model is:

E(Y)= α + βXi

The estimated equation is:

^Y= a + bXi

$a= (\frac{sumY_i}{n} ) - b(\frac{sumX_i}{n} )$

a= 13.15 years

$b= \frac{(sumX_iY_i-\frac{(sumX_i)(sumY_i)}{n} }{sumX_i^2-(\frac{(sumX_i)^2}{n} )}$

b= -0.62 years/$

Then ^Y= 13.15 - 0.62Xi

Mean Y= 8.92

Mean X= 6.91

∑Y= 107

∑Y²=1009

∑X=82.90

∑X²=615.29

∑XY=712.9

Hope it helps!

5 0

3 years ago

The graphs of functions f(x) and g(x) = f(x) + k are shown below: What is the value of k?

KatRina [158]

Answer:

k = 4

Step-by-step explanation:

k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).

2 - (-2) = 4

Hope that helps! :D

7 0

3 years ago