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2 years ago

What’s the slope of the line ?(4.5), (02)

Mathematics

1 answer:

kozerog [31]2 years ago

7 0

Answer:

3/4 or 0.75

Step-by-step explanation:

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A jar has 32 marbles. Some are blue and the rest are green. There are three times as many green marbles as blue. How many green

ella [17]

Answer: 24

Step-by-step explanation:

Number of marbles in jar = 32

Let blue marbles be represented by b.

Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b

We then add them together. This will be:

3b + b = 32

4b = 32

b = 32/4

b = 8

There are 8 blue marbles

Since green is 3× blue. Therefore,

Green = 8 × 3 = 24 marbles

7 0

2 years ago

Sasha runs at a constant speed of 3.5 meters per second for hour. Then, she walks at a rate o 2 1 1.6 meters per second for hour

Nadya [2.5K]

Answer:

Step-by-step explanation:

4 0

2 years ago

In triangle abc, AC=15 BC=11 and m

Oksana_A [137]

Answer: 10

Step-by-step explanation:

In a right angle triangle

Hypothenus ^2= opposite ^2+ adjacent ^2

According to a diagram below

Hypothenus =15

Opposite =?

Adjacent =11

Substitute for the values

15^2=11^2+opp^2

Opp^2=15^2-11^2

0pp^2= 225-121

Opp2=104

Opp= square root of 104

Opp= 10.2

Opp= ~10

3 0

3 years ago

The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.

docker41 [41]

1/2 + 4x = 5x - 5/6
1/2 = x - 5/6
3/6 = x - 5/6
x = 8/6

7 0

3 years ago

P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).

Mila [183]

Answer:

The polynomial is:

$p(x) = -x^3 - 2x^2 + 5x + 6$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that $x_1 = -3, x_2 = -1, x_3 = 2$ . Thus

$p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)$

$p(x) = a(x - (-3))*(x - (-1))*(x-2)$

$p(x) = a(x+3)(x+1)(x-2)$

$p(x) = a(x^2+4x+3)(x-2)$

$p(x) = a(x^3+2x^2-5x-6)$

Passes through the point (1,12).

This means that when $x = 1, p(x) = 12$ . We use this to find a.

$12 = a(1 + 2 - 5 - 6)$

$-12a = 12$

$a = -\frac{12}{12}$

$a = -1$

Thus

$p(x) = -(x^3+2x^2-5x-6)$

$p(x) = -x^3 - 2x^2 + 5x + 6$

6 0

3 years ago