All categories

3 years ago

What is the answer to y=2x+3 and y=3x+5

Mathematics

2 answers:

Studentka2010 [4]3 years ago

4 0

y=2x+3

y=3x+5

so y=y

then. 2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

Alla [95]3 years ago

3 0

Answer:

(-2,-1)

Step-by-step explanation:

y=2x+3

y=3x+5

so y=y

then:

2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

You might be interested in

The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree

faltersainse [42]

Answer and Step-by-step explanation:

| \

| \

100 ft. | \

| 2 \

|_________\

Use tangent to find the x.

tan(2) = $\frac{100}{x}$

$x = \frac{100}{tan(2)}$

Use a calculator to evaluate.

$x = \frac{100}{tan(2)}$ = 2863.6253

So, the boat is 2,863.63 feet from the shore.

#teamtrees #WAP (Water And Plant)

6 0

3 years ago

Which of the following is equal to the length of the major axis of an ellipse?

kakasveta [241]

Answer:

It's A.

Step-by-step explanation:

The length of the major axis is a + b where a and b are the distances from each focus to any point on the ellipse.

6 0

3 years ago

Read 2 more answers

1. Writing an equation for an exponential function by

Naya [18.7K]

Answer: 1) $t(n)=0.6(2)^n$

2) $f(x)=10(5)^x$

Step-by-step explanation:

1) Let the function that shows the thickness of the paper after n folds,

$t(n) = ab^n$ ---------(1)

Since, According to the question,

Initially the thickness of the paper = 0.6

That is, at n = 0, t(0) = 0.6

By equation (1),

$0.6 = a(b)^0\implies 0.6 = a$

Hence the function that shows the given situation,

$t(n) = 0.6 b^n$ -----------(2)

Again when we fold the paper the thickness of the paper will be doubled.

Thus, at n = 1, t(1) = 1.2

By equation (2),

$1.2 = 0.6 b^1\implies 2 = b$

Thus, the complete function is,

$t(n) = 0.6 (2)^n$

2) Let the function that is passing through the points (-2, 2/5) and (-1,2),

$f(x) = ab^x$ ---------(1)

For f(x) = 2, x = -1

By equation (1),

$2= ab^{-1}$ ---------(2)

Also, For f(x) = 2/5, x = -2

Again, By equation (1),

$\frac{2}{5}= a(b)^{-2}$

$\implies \frac{2}{5}=ab^{-1}b^{-1}=2b^{-1}$

$\implies \frac{2}{5}=\frac{2}{b}$

$\implies 2b=10$

$\implies b = 5$

By substituting this value in equation (2),

We get, a = 10

Hence, from equation (1), the function that is passing through the points (-2, 2/5) and (-1,2),

$f(x) = 10(5)^x$

5 0

2 years ago

De la población de adultos en estados unidos, 36% tiene una alergia. una muestra de 1200 adultos seleccionados al azar resultó e

densk [106]

Answer:

sorry I cant understand your question

4 0

3 years ago

The function f(x)=58(1.6)x represents the possible bird population in a park x years from now. Each year, the expected number of

-BARSIC- [3]

Answer:

1.6 times or 60% more than

Step-by-step explanation:

The question seems to be asking about the growth factor in the given exponential function.

<h3>Exponential function</h3>

A generic exponential function will have the form ...

quantity = (initial value) × (growth factor)^(number of intervals)

Comparing this form to the given formula ...

f(x) = 58 × 1.6^x

we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.

Each year the expected number of birds is 1.6 times the number the year before.

Additional comment

A growth factor is sometimes expressed in terms of a growth rate, usually a percentage.

growth factor = 1 + growth rate

1.6 = 1 + 0.60 = 1 + 60%

The growth rate of this bird population is 60% per year. Each year, the population is 60% more than the year before.

3 0

1 year ago