Ask question

Ask question

All categories

4 years ago

13

Two lines, A and B, are represented by equations given below: Line A: y = x − 4 Line B: y = 3x + 4 Which of the following shows

the solution to the system of equations and explains why? (−3, −5), because the point satisfies one of the equations (−3, −5), because the point lies between the two axes (−4, −8), because the point satisfies both equations (−4, −8), because the point does not lie on any axis

2 answers:

Ede4ka [16]4 years ago

5 0

(-4,-8) because it satisfies both equations

notsponge [240]4 years ago

3 0

Answer:

The solution is (-4,-8)because the point satisfies both equations.

Step-by-step explanation:

Line A: y = x − 4

Line B: y = 3x + 4

Substitute the value of y from Line A in Line B

$x-4=3x+4$

$-4-4=2x$

$-8=2x$

$-4=x$

Substitute the value of x in Line B to get value of y

$y=3x+4$

$y=3(-4)+4$

$y=-12+4$

$y=-8$

Thus the solution is (-4,-8)because the point satisfies both equations.

You might be interested in

A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic

aliya0001 [1]

Answer:

P-value = 0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, $\bar{x}$ = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699$

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

We can calculate the p-value with the help of standard normal table.

P-value = 0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0

4 years ago

An equation is shown below:

gayaneshka [121]

6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division

the value of x that makes the equation true is 7.

8 0

3 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

4 years ago

What is the following quotient?<br><br> Square root of 120/square root of 30

Mekhanik [1.2K]

Answer:

The square root of 120 is 10.9545.

The square root of 30 is 5.47723.

10.9545 divided by 5.47723 is approximately 2.0000073

7 0

3 years ago

In this figure what is m 5?

Harlamova29_29 [7]

Answer:

m<5 = 95 degrees

Step-by-step explanation:

Let's first find m<1

=> m<1 = 180-85

=> m<1 = 95 degrees

Since,

m<1 = m<5 (Corresponding angles)

So,

m<5 = 95 degrees

3 0

3 years ago