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makvit [3.9K]
3 years ago
12

Which equation describes a line that passes through the point (4, -1) and a slope of 6

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

y+1=6(x-4)

y+1=6x-24

y=6x-25

Answer: y = 6x - 25

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Solve the system of equations. y = 2x y = x 2 – 15
inn [45]

Answer:

D. (–3, –6) and (5, 10)

Step-by-step explanation:

The system has equations:

y=2x...(1)

and

y=x^2-15...(2)

Equate both equations;

x^2-15=2x

Rewrite in standard form:

x^2-2x-15=0

We factor to obtain:

(x+3)(x-5)=0

By the zero product principle;

(x+3)=0,(x-5)=0

\implies x=-3,x=5

When x=-3, y=2(-3)=-6

This yields the ordered pair (-3,-6).

When x=5, y=2(5)=10

This yields the ordered pair (5,10).

The correct choice is D.

8 0
3 years ago
2(f-9)=-28 f=?<br>-3(2t+3)=-21 t=?<br>​
SVETLANKA909090 [29]

Answer:

1. f= 3/5

2. t= 3/5

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

5 0
3 years ago
Read 2 more answers
You and three friends go out to eat and decide to split the bill evenly. The food you order comes to a total of $48. If you leav
zloy xaker [14]

Answer:

11.64

Step-by-step explanation:

100%-> 48

15%-> 7.20

6.25%-> 3

48+7.20+3=58.20

58.20÷5=11.64

4 0
3 years ago
Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba
Vesnalui [34]
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win            225    1/4
lose               0    3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive.  (does NOT mean she will win in the next bet!)
3 0
4 years ago
75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity. 27 girls chose swimming and 32
Oduvanchick [21]

ANSWER

Find out the expression gives the percent of survey participants who chose swimming.

To proof

As given

75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity.

27 girls chose swimming

32 girls chose hiking.

FORMULA

Percentage = \frac{Part\times100}{whole}

total girls  = 75

girls chose swimming = 27

put in the formula

= \frac{27\times100}{75}

= 36%

36% of survey participants who chose swimming

Hence proved

3 0
3 years ago
Read 2 more answers
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