All categories

2 years ago

Directions: Solve for x in the inequalities below. Graph and check your solution.

Mathematics

2 answers:

Kipish [7]2 years ago

7 0

Answer:

Step-by-step explanation:

alex41 [277]2 years ago

4 0

Answer:thanks for 23 points

Step-by-step explanation:

You might be interested in

Describe the procedure you performed to derive the slope-intercept form of a linear equation.

defon

Answer:

1. You first have to find the slope

2. Next, you have to find the y-intercept

3. Finally, you have to put it in y = mx + b form.

Step-by-step explanation:

The slope of 2 points is; $\frac{y_{2}- y_{1} }{x_{2}-x_{1}}$

The y-intercept is; $y-y_{1}=m(x-x_{1} )$

y = mx + b

m is always the slope

b is always the starting point or y-intercept

6 0

3 years ago

Read 2 more answers

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number

Tasya [4]

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

6 0

2 years ago

1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)

Gnesinka [82]

Answer:

170

Step-by-step explanation:

How the sales tax de-calculator works

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price.

3 0

3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

2 years ago

The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n

Leona [35]

Answer: 17 -3n

Explanation:

In the given arithmetic progression 20,17,14,11,8....

first term that is a = 20

common difference that is d= a2-a1 = 17-20 = -3

let n is the nth term

$a_{n}$ = a+(n-1)d

substituting the values of first, common,difference and n

$a_{n}$ =20+(n-1) (-3)

= 20 -3n+3

=23 -3n

6 0

3 years ago

Read 3 more answers