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3 years ago

13

Use the graph to determine how many solutions exist for the system -4x + 3y = 12 x + y = 2

1 answer:

LiRa [457]3 years ago

6 0

Answer:

B. 1

Step-by-step explanation:

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a bag holds 1200 marbles colored either blue, red, green, or pink. there are 2 more blue than green, 6 more green than red and 6

krek1111 [17]

B = 2 + g . . . (1)
g = 6 + r . . . (2)
r = 6 + p . . . (3)

Putting (3) into (2) gives:
g = 6 + 6 + p = 12 + p . . . (4)
Putting (4) into (1) gives:
b = 2 + 12 + p = 14 + p . . . (5)

b + g + r + p = 1200
2 + g + 6 + r + 6 + p + p = 1200
2 + 12 + p + 6 + 6 + p + 6 + p + p = 1200
32 + 4p = 1200
4p = 1200 - 32 = 1168
p = 292

From (5), b = 14 + p = 14 + 292 = 306

Therefore, there are 306 blue mables.

8 0

4 years ago

Find the focus of the parabola whose equation is y=1/8 x^2

Mama L [17]

Answer:

The focus is: $(0,2)$

Step-by-step explanation:

Given

$y = \frac{1}{8}x^2$

Required

Determine the focus

The focus of a parabola

$(x- h)^2 = 4p(y - k)$

is:

$(h,k+p)$

So, we have:

$y = \frac{1}{8}x^2$

Cross multiply

$8y = x^2$

Rewrite as:

$x^2 = 8y$

Rewrite as:

$(x - 0)^2 = 8(y - 0)$

Express 8 as 4 * 2

$(x - 0)^2 = 4 * 2(y - 0)$

By comparison with: $(x- h)^2 = 4p(y - k)$

$h = 0$ $p =2$ $k = 0$

So, the focus $(h,k+p)$ is:

$(h,k+p) = (0,0+2)$

$(h,k+p) = (0,2)$

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3 years ago

Two step inequalities 5x-7_>8

Naddik [55]

Answer:

x ≥ 3

Step-by-step explanation:

5x - 7 ≥ 8

5x ≥ 8 + 7 (You take the common terms to one side)

5x ≥ 15

$\frac{5x}{5} \geq \frac{15}{5}$

x ≥ $\frac{15}{5}$

x ≥ 3

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3 years ago

Sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin. He has 15 br

slega [8]

15 and 38/45 bread rolls

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4 years ago

5 students sharing 4 bags of popcorn equally

Vanyuwa [196]

4 bags of popcorn for 5 students (4/5)

each student would get 4/5 or .8 of each bag of popcorn

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