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2 years ago

a line that passes through the point (–1, 3) has a slope of 2. find another point on the line. a. (–3, 2) b. (0, 5) c. (1, 5) d.

(1, 4)

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

4 0

$The\ slope-point\ form:y-y_1=m(x-x_1)\\--------------------\\m=2;\ (-1;\ 3)\to x_1=-1\ and\ y_1=3\\\\y-3=2(x-(-1))\\y-3=2(x+1)\\y-3=2x+2\ \ \ |add\ 3\ to\ both\ sides\\y=2x+5\\\\a)\ (-3;\ 2)\\L=2;\ R=2(-3)+5=-6+5=-1\\L\neq R\\\\b)\ (0;\ 5)\\L=5;\ R=2(0)+5=5\\L=R\\\\c)\ (1;\ 5)\\L=5;\ R=2\cdot1+5=2+5=7\\L\neq R\\\\d)\ (1;\ 4)\\L=4;\ R=2\cdot1+5=2+5=7\\L\neq R\\\\Answer:\boxed{b)\ (0;\ 5)}$

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2 years ago

Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)

denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ $\frac{2[g(x)]}{2}$ = $\frac{10x}{2}$ + $\frac{4}{2}$

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0

2 years ago

One kilogram is 2.2 pounds. If i had 1 pound would that be 0.45 kilograms why or why not?

prisoha [69]

Step-by-step explanation:

1 kg = 2.2 pounds

0.45 kg = 1 pounds to see whether it's correct or not we can cross multiply the given equations

multiply 1 kg with 1 pounds and 0.45 kg with 2.2 pounds then check if they are equal

1 × 1 = 2.2 × 0.45

1 = 0.99 as you can see this is not an equality therefore the statement is wrong.

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3 years ago

What is group A called?<br> What is group B called ?

Gre4nikov [31]

Answer:

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3 years ago

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

fenix001 [56]

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

6 0

2 years ago