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NeX [460]
3 years ago
13

To solve the inequality m/-7<(or equal to) 14 , what should be done to both sides?

Mathematics
2 answers:
Marizza181 [45]3 years ago
5 0

Answer:

\large\boxed{m\geq-98}

Step-by-step explanation:

\dfrac{m}{-7}\leq14\\\\-\dfrac{m}{7}\leq14\qquad\text{change the signs}\\\\\dfrac{m}{7}\geq-14\qquad\text{multiply both sides by 7}\\\\7\!\!\!\!\diagup^1\cdot\dfrac{m}{7\!\!\!\!\diagup_1}\geq(7)(-14)\\\\m\geq-98

chubhunter [2.5K]3 years ago
3 0

Answer: m\geq -98

You change the signs and multiply both sides by 7.

Step-by-step explanation:

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A ferry traveled 1/6 of the distance between two ports in 3/7 hour at this rate what fraction of the distance between the two po
Masja [62]
First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance. 
                                 speed = (1/6) / (3/7)
                                   speed = 7/18
Then, the distance it will travel for an hour is calculated through the procedure below. 
                         distance = (7/18hour) x (1 hour)
                           distance = 7/18
Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports. 
4 0
3 years ago
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PLS HELP ME WITH 42!! (SHOW WORKKK!!!) + LOTS OF POINTS!!
spayn [35]
We can represent the cost of the notebooks with by saying 0.75n, and the cost of the pens by saying 0.55p.

0.75n+0.55p will be the total cost before tax.  Now, we need to add on tax.  Tax will be 0.0625 times the total amount, so we can represent the cost by saying 

(0.75n+0.55p) + 0.0625(0.75n+0.55p), so the answer is B.
3 0
4 years ago
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I really need help and this answered ASAP. thank you and sorry.
Semenov [28]

9514 1404 393

Answer:

  $2.50

Step-by-step explanation:

The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.

Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.

The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.

  (8n +4p) -4(3n +2p) = (16.00) -4(6.50)

  -4n -4p = -10.00 . . . . . . . . . . . simplify

  n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)

The total cost for one notebook and one pen is $2.50.

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<em>Additional comment</em>

The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.

One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.

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3 years ago
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2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
A toy company produces two kites whose shapes are geometrically similar. Find the length of the missing side of the smaller kite
docker41 [41]
M=30/22,5=1,33
m=25/x=1,33. ...>x=25/1,33=18,7
5 0
3 years ago
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