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3 years ago

Determine whether this system of equations has one solution, no solution, or infinitely many solutions.

Mathematics

1 answer:

prohojiy [21]3 years ago

4 0

Answer:

The only solution I see is for x=0

Step-by-step explanation:

y=8x+2

y=-8x+2

y=y so substitute:

8X+2=-8X+2

Subtract 2 from each side

8X=-8X

divide each side by 8

x=-x

The only solution I see is for x=0

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If you have 470 apples and the price is 67 apples how much is each apple

EleoNora [17]

Answer:

Each apples cost about $0.14

Step-by-step explanation:

cost / amount = price per piece

67 / 470 = 0.14

So every apple costs about $0.14

8 0

2 years ago

Which statements are true of the graph of h(x) = 3/4-4? Check all that apply.

Dmitriy789 [7]

Answer:

the answers are : A , B , and E. i just took the assignment.

Step-by-step explanation:

5 0

2 years ago

2.16= with the repeating decimal being 6

Goshia [24]

Since the .16 is in the hundredths place, the fraction is 2 16/100, or 216/100

But if you need to simplify it it's 2 4/25, or 54/25

3 0

2 years ago

What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95

nevsk [136]

Answer: 12

Step-by-step explanation:

The formula to find the sample size is given by:-

$n=(\dfrac{z_c\cdot \sigma}{E})^2$ , where $\sigma$ is the population standard deviation, $z_c$ is the z-value for the $(1-\alpha)$ confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : $\sigma=5.1$

z-value for 95% confidence interval : $z_c=1.960$

Margin of error : E= 3

Then, the required minimum sample :-

$n=(\dfrac{(1.96)\cdot (5.1)}{3})^2\\\\\Rightarrow\ n=(3.332)^2=11.102224\approx12$

Hence, the required minimum sample size = 12

3 0

2 years ago

PLEASE HELP NOW!!

Rufina [12.5K]

1. Carl's constant rate of speed is the slope of the straight line graph.

This straight line passes through: (0,0), (5,1), (10,2) etc

We can use the slope formula with any two points to find the slope of this line.

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$ .

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(5,1)$

Then $m=\frac{1-0}{5-0}$ , $\implies m=\frac{1}{5}$ .

Carl's speed is $\frac{1}{5}$ miles per minute.

But we must leave our answer in miles per hour

Hence Carl's speed is $\frac{1}{5}\times 60=12$ miles per hour

After 2 hours, Carl will travel $12\times 2=24$ miles.

2. The given line has equation $-4x+y=10$

We write this in slope-intercept form by solving for y.

$\implies y=4x+10$

This is in the form $y=mx+c$ , where $m=4$ is the slope.

When x=3, $y=4(3)+10$

$\implies y=12+10=22$

When x=3, y=22

3. The given straight line graph that models the situation passes through:

(0,0) and (20,30).

The slope of this line is $\frac{Rise}{Run}=\frac{300}{20}=15$

Therefore the rate is $ 15 per ticket.

If the theater sells 150 tickets, the earnings will be: $150\times 15=2,250$ dollars.

7 0

3 years ago