All categories

1 year ago

Write the system of linear equations shown by the graph. Use slope-intercept form.

Mathematics

1 answer:

Andre45 [30]1 year ago

3 0

The required system of linear equations is y = -4x + 1 and y = 5x - 8.

Given that,
From the graph,
system of linear equation is to be determined.

Here,
The slope-intercept form of linear equation.
y = mx + c - - - - - (1)

Equation of line 1
Since point (-1, 5), (0, 1) lies on the line 1.
The slope of line 1,
m = 1-5 / 0+1
m = -4
Now put this slope and 1 point in the equation.
5 = -4(-1) + c
c = 5 - 4
c = 1
now, put m and c in equation 1
y = - 4x + 1

Similarly, the equation of line 2 is given as y = 5x - 8.

Thus, the required system of linear equations is y = -4x + 1 and y = 5x - 8.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1

You might be interested in

Evaluate: Percents Benita answered 85% of the test questions correctly. If she answered 9 questions incorrectly, how many questi

madreJ [45]

Answer:

Step-by-step explanation:

3 0

2 years ago

2. ½ of a group of chickens tried to cross the road. Only ¾ of those chickens made it to the other side. What fraction of the or

ArbitrLikvidat [17]

Let me help you visualize this one.

Let's say we have 12 chickens.

OOOOOOOOOOOO

We divide this group in half (1/2 who tried to cross the road.)

OOOOOO

And here, we need to get 3/4 of the 6 left.

3/4 can be represented as 0.75 of 1.

6 times 0.75 equals to 4.5.

OOOOC (Woah, that chicken is split in half!)

What fraction is 4.5 of the original amount?

Well, that's for you to find out! Good luck in solving this question.

3 0

2 years ago

Read 2 more answers

If there are 75 tickets in the dinner out<br> raffle, then how many total tickets are there?

Minchanka [31]

Answer:

75?

Step-by-step explanation:

is there more to the question?

5 0

2 years ago

Read 2 more answers

What is the remandier to 92931 divided by 13?

ivann1987 [24]

No, 92932 is not divisible by 13 because it has to much numbers for getting the answer

5 0

3 years ago

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

Read 2 more answers