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4 years ago

If 3x +b = c, what is the value of x in terms of c and b?

Mathematics

1 answer:

german4 years ago

3 0

Answer:

x=(c-b)/3

Step-by-step explanation:

we have

3x+b=c

Solve for x

That means -----> Clear variable x

Subtract b both sides

3x+b-b=c-b

3x=c-b

Divide by 3 both sides

x=(c-b)/3

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5) h(x) = 2x + 4; Find h(-3)

olya-2409 [2.1K]

Answer:

-2

Step-by-step explanation:

You make x= -3 then you insert it into the problem which is x= 2(-3)+4

2 times -3 is -6 which then you would get

-6+4 which equals -2

5 0

3 years ago

How do you solve it?

Elis [28]

At heart we're being asked for a line through two points,

$(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})$

In general the line through (a,b) and (c,d) is

$(y-b)(c-a)=(x-a)(d-b)$

Check that you understand why both (a,b) and (c,d) are on this line.

Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,

$(v - 355)(49 - 40) = (T - 40)(360 - 355)$

$9(v - 355) = 5(T - 40)$

$v-355 = \frac 5 9 T - \frac{200}{9}$

$v= \frac 5 9 T - \frac{200}{9} + 355$

$v= \frac 5 9 T + \frac{2995}{9}$

That's our answer; let's check it.

When T=40, v = (5/9)40 + (2995/9) = 355 good

When T=49, v= (5/9)49 + (2995/9) = 360 good

7 0

3 years ago

According to the scale on a map, 1 inch on the map = 15 miles. How many miles are represented by 2.5 inches on the map?

Artyom0805 [142]

2.5 times 15 equals 37.5 miles

7 0

3 years ago

HELP PLEASE! The distances from a ship to two lighthouses on the shore are 4 miles and 7 miles respectively. If the angle betwee

IrinaK [193]

Answer:

5.25 miles

Step-by-step explanation:

We are required to determine the distance between Lighthouse A and Lighthouse B in the diagram.

Using Law of Cosines

$c^2=a^2+b^2-2abCosC\\c^2=7^2+4^2-2(7)(4)Cos48^\circ\\c^2=27.5287\\c=\sqrt{27.5287} \\c=5.25\: miles$

The distance between lighthouses is 5.25 miles.

6 0

3 years ago

Finds the slope of the line

Zinaida [17]

Answer:

Step-by-step explanation:

Slope=rise over run.

From bottom marked point (-3, -3) to the other (-2, 1)...

Rise= 4

Run= 1

4/1=4

Therefore, the slope is 4.

Hope this helps!! Have an amazing day ❤

6 0

3 years ago