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Valentin [98]
3 years ago
5

What's the correct value for the expression 3 x |-4 + 2| - 3 ?

Mathematics
1 answer:
meriva3 years ago
5 0
In PEMDAS, we start with parenthesis (absolute values count as this), which means that |-4+2|= |-2|=2, resulting in 3*2-3=6-3=3
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What is the slope, m, of the line through (-7, -2) and (-6, 7)?
Nataliya [291]

Answer:

Slope = 9

Step-by-step explanation:

(-7 , -2) ;  x₁ = -7  and  y₁ = -2

(-6 , 7) ;  x₂ = -6  and y₂ = 7

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          =\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9

4 0
3 years ago
Rosa wants to use $20 to buy games. The
kompoz [17]

Answer:

The answer is B : 6

Step-by-step explanation:

2.50k means 2.50 multiplied by a number and the inequality means 20 is less than 2.50k + 5.50.    2.50 multiplied by 6 equals 15 and 15 plus 5.50 is 20.50 which is greater than 20.

6 0
3 years ago
Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an expl
BlackZzzverrR [31]

The tetrahedron passes through the intercepts (5, 0, 0), (0, 2, 0), and (0, 0, 10). Parameterize the surface (call it \Sigma) by

\vec r(u,v)=(1-v)\langle5,0,0\rangle+v\left((1-u)\langle0,2,0\rangle+u\langle0,0,10\rangle\right)

\vec r(u,v)=\langle5(1-v),2(1-u)v,10uv\rangle

with 0\le u\le1 and 0\le v\le1. Take the normal vector to \Sigma to be

\vec r_v\times\vec r_u=\langle20v,50v,10v\rangle

Then the flux of \vec F(x,y,z)=\langle x,y,z\rangle across \Sigma is

\displaystyle\iint_\Sigma\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^1\langle5(1-v),2(1-u)v,10uv\rangle\cdot\langle20v,50v,10v\rangle\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1100v\,\mathrm du\,\mathrm dv=\boxed{50}

6 0
4 years ago
Which statement describes the rate of change of the following function?
artcher [175]

Given:

The function is

f(x)=-5x-7

To find:

The rate of change of the given function.

Solution:

We have,

f(x)=-5x-7        ...(i)

It is a linear function because the degree or power of x in this function is 1.

Slope of a linear function is always constant.

The slope intercept form of a linear function is

f(x)=mx+b      ...(ii)

where, m is slope and b is y-intercept.

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

m=-5

It means, the function has a constant rate of change, decreasing for all x at a rate of 5.

Therefore, the correct option is D.

7 0
3 years ago
A-5 gallon jug containing 20% fruit juice is mixed with a 2-gallon jug containing 15% fruit juice. What is the percent of juice
Dmitry_Shevchenko [17]
Percent of juice is 18.7% or 19%:

5(.2)+2(.15)=7p

1.3/7=p

p =.187
3 0
3 years ago
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