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Ivahew [28]
3 years ago
8

Which is an equation in point slope form of the line that passes through the points (7, 5) and (-4, -1)

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0

Answer:

y = (6/11)x + 13/11

Step-by-step explanation:

y = mx + c

m = (-1-5)/(-4-7) = -6/-11 = 6/11

y = (6/11)x + c

When x = 7, y = 5

5 = (6/11)(7) + c

5 = 42/11 + c

c = 5 - 42/11

c = 13/11

y = (6/11)x + 13/11

11y = 6x + 13

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Which of these expressions are equivalent to 7 1/2
jekas [21]

Answer:

it's 7.5

Step-by-step explanation:

1/2 as a decimal is 0.5

5 0
2 years ago
How many gallons of a 70​% antifreeze solution must be mixed with 60 gallons of 20​% antifreeze to get a mixture that is 60​% ​a
Flura [38]

We have 60 gallons of 20% antifreeze.

How much 70% antifreeze do we add to get 60% antifreeze?

We'll make "x" the gallons of 70% we must add.

.20 * 60 + .70 x = .60 * (60 + x)

12 + .70x = 36 + .60x

.10x = 24

x = 240 gallons of 70% antifreeze.

Source

1728.com/mixture.htm (see example B)


4 0
3 years ago
Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Nuetrik [128]

Answer:

Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

Considering the sequence

-5,\:-25,\:-125,\:-625,...

A geometric sequence has a constant ratio r and is defined by

g_n=g_0\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=5

So, the sequence is geometric.

as

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

g_1=-5

r=5

so

g_n=g_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

g_n=-5\cdot \:5^{n-1}

Therefore, Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

8 0
3 years ago
I have trouble with the converting
Gnom [1K]
HI,
3 yd= 108 in
24 ft = 8 yd
56 ft= 18 yd 6 ft
12 ft 6 in = 216 in ( im not 100% sure on this one)
i hope this helped you 
7 0
3 years ago
Determine when domain increases
Svetllana [295]

Answer:

Step-by-step explanation:

[0,7)

because the dot is colored in you need to have the bracket

6 0
2 years ago
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