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4 years ago

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.

Mathematics

1 answer:

ehidna [41]4 years ago

6 0

Answer:

y +5 = -5(x +6)
y = -5x -35

Step-by-step explanation:

For a line with slope m through point (h, k), the point-slope form of the equation is ...

y -k = m(x -h)

For your point and slope, the line is ...

y +5 = -5(x +6)

Adding -5 and simplifying puts this in slope-intercept form.

y = -5x -30 -5

y = -5x -35

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Lucy has a budget for school stationery of 33, but has already spent 22.47 on books and folders. Let p represent the amount that

Sidana [21]

Answer:

The inequality is;

p≤ 10.53

where 10.53 is the highest value she can spend on other stationery

Step-by-step explanation:

Here, we want to write an inequality

The amount she has to spend is 33

This means she can spend less than or equal to this amount

she has spent 22.47 and still has p to spend

Mathematically;

p + 22.47 ≤ 33

p ≤ 33-22.47

p ≤ 10.53

8 0

3 years ago

Michael earns $173.60 for 14 hours. Elena's hourly rate is $0.80 more per hour than Michael's. How much money will Elena earn fo

Llana [10]

Btw I got this answer from gauth.math
answer: 224.4

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2 years ago

-x<-29−x<−29 pls answer pls

Tasya [4]

Solve for x.

x − 29 > x > 0

3 0

3 years ago

7th grade math help me pleaseee

Marianna [84]

no, -6+2= -4

not -6 +(-2)

4 0

3 years ago

There are 15 identical pens in your drawer, nine of which have never been used. On Monday, yourandomly choose 3 pens to take wit

DaniilM [7]

Answer: p = 0.9337

Step-by-step explanation: from the question, we have that

total number of pen (n)= 15

number of pen that has never been used=9

number of pen that has been used = 15 - 9 =6

number of pen choosing on monday = 3

total number of pen choosing on tuesday=3

note that the total number of pen is constant (15) since he returned the pen back .

probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

probability of picking a pen that has been used on tuesday = 6/15 = 2/5

probability of not picking a pen that has not been used on tuesday= 1- 2/5= 3/5

on tuesday, 3 balls were chosen at random and we need to calculate the probability that none of them has never been used .

we know that

probability of ball that none of the 3 pen has never being used on tuesday = 1 - probability that 3 of the pens has been used on tuesday.

to calculate the probability that 3 of the pen has been used on tuesday, we use the binomial probability distribution

p(x=r) = $nCr * p^{r} * q^{n-r}$

n= total number of pens=15

r = number of pen chosen on tuesday = 3

p = probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

q = probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

by slotting in the parameters, we have that

p(x=3) = $15C3 * (\frac{2}{5})^{3} * (\frac{3}{5})^{12}$

p(x=3) = 455 * $0.4^{3} * 0.6^{12}$

p(x=3) = 455 * 0.064 * 0.002176

p(x=3) = 0.0633

thus probability that 3 of the pens has been used on tuesday. = 0.0633

probability of ball that none of the 3 pen has never being used on tuesday = 1 - 0.0633 = 0.9337

3 0

3 years ago