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Lena [83]
2 years ago
7

Determine the equation of the line passing through the point (0, -4), with a slope of m = 5

Mathematics
1 answer:
Vinvika [58]2 years ago
6 0

The equation of the line is:

y + 4 = 5(x - 0) [point-slope form]

y = 5x - 4 [slope-intercept form]

<h3>How to Find the Equation of a Line?</h3>

Using the point-slope form, the equation of a line that has a slope of m, and passes through a point (a, b), can be written as: y - b = m(x - a).

Given the following:

Slope (m) = 5

Point on the line (a, b) = (0, -4)

Substitute m = 5 and (a, b) = (0, -4) into y - b = m(x - a)

y - (-4) = 5(x - 0)

y + 4 = 5(x - 0)

Or rewrite in slope-intercept form as:

y + 4 = 5x

y = 5x - 4

Learn more about the equation of a line on:

brainly.com/question/13763238

#SPJ1

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A bag of marbles contains 40 red marbles, 54 blue marbles, and 29 yellow marbles. Which of the following represents the ratio of
JulsSmile [24]

Answer:

\frac{29}{40}

Step-by-step explanation:

we know that

To find the ratio of yellow to red marbles, divide the numbers of yellow marbles by the number of red marbles

Let

x----->  the numbers of yellow marbles

y----> he number of red marbles

we have

x=29, y=40

so

\frac{x}{y}=\frac{29}{40}

8 0
3 years ago
Boa tarde gentiii Abaixo aparecem quatro sequências. Defina cada uma delas como RECURSIVA ou NÃO RECURSIVA. a) (5, 7, 9, 11, 13,
marusya05 [52]

Answer:

a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo

b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo

c) (1, 8, 27, 64, ...) Recursivo

d) (2, 5, 8, 11, 14, 17, ...) Recursivo

Step-by-step explanation:

Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores

O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;

1) Uma base que é predefinida

2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos

Para a série;

a) (5, 7, 9, 11, 13, 15, 17, 19, ...)

Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva

aₙ = aₙ₋₁ + 2

b) (1, 4, 9, 16, 25, 36, 49, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva

aₙ = (√ (aₙ₋₁) + 1) ²

c) (1, 8, 27, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva

aₙ = (∛ (aₙ₋₁) + 1) ³

d) (2, 5, 8, 11, 14, 17, ...)

Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.

7 0
3 years ago
Ashton needs $120 but has only saved 60% so far. How much more money does he need
Kamila [148]

Hello there! Ashton needs 48 more dollars.

Well, to start, you want to find 60% of 120. To do this, you first have to convert 60% into a decimal by dividing it by 100.

60/100 = 0.6

Next, multiply 0.6 by your total needed, 120, to finish finding 60% of 120.

120 x 0.6 = 72.

So he already has 72 dollars, but how many more does he need? You can find this by subtracting 72 from 120.

120 - 72 = 48.

So, this means he needs 48 more dollars. I hope this helps and have a great rest of your day! Please let me know if you need further help with this question. :)

3 0
3 years ago
Match the inequality to the graph of its solution.<br> a. n/4 ≤ -1<br> b. -10 ≥ -100<br> c. 5x ≥ 20
postnew [5]
<span>a. n/4 ≤ -1

Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.

That in the real number line is all the numbers to the left of - 4 (including  -4)

The matching graph is the B.


b. -10n ≥ -100

Divide both sides by - 10 => n ≤ 10

That is all the real numbers less or equal than 10.

In the real number line it is all the numbers to the left of 10, including 10.

So, the matching graph is the A.


c. 5x ≥ 20

Divide both sides by 5 => x ≥ 4

That is all the real numbers greater or equal to 4.

In the real number line it is all the numbers to the right of 4, including 4.

The matching graph is C.</span>
4 0
3 years ago
Evaluate 8 + 3e when e = 2.<br> Need the Answer
alexandr402 [8]

Answer:

The answer is 14

Step-by-step explanation:

e=2

Substitute 2 in for e

8 + 3(2)

Solve

14

6 0
3 years ago
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