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3 years ago

Lots of pts and brainliest

Mathematics

2 answers:

bixtya [17]3 years ago

6 0

Hey there!

The slope-intercept form is shown in the photo I’ve attached

Hope this helps you!

Always remember you are a Work Of Art!

- Nicole <3 :)

valentina_108 [34]3 years ago

3 0

Answer: The answers are given below.

Step-by-step explanation: The calculations are as follows:

(1) The given equation is

$4x+3y=24.$

We are to write the above equation in slope-intercept form.

We have

$4x+3y=24\\\\\Rightarrow 3y=-4x+24\\\\\Rightarrow y=-\dfrac{4}{3}+8,$

which is the required slope-intercept form, where slope is $-\dfrac{4}{3}$ and y-intercept 8.

(2) The given equation is

$8x-2y=4.$

We are given to draw the graph of the above equation, which is shown in the attached figure.

Hence solved.

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Find the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0.

nadezda [96]

Answer:

The equation of the line is y + x + 1 = 0.

Step-by-step explanation:

The given equations are : x + 2y = 0 and 3x + y + 5 = 0

Now, finding the intersection point of the above system:

from (1) , x = -2y

put in (2), 3 (-2y) + y + 5 = 0

or, 5y = 5 ,or y = 1

If y = 1, pitting in (1), x = -2

So, the intersection lines is (-2,1).

the other point on line is (-3,2)

Now, finding the slope m of the line : $m =\frac{y_2 -y_1}{x_2 - x_1} =\frac{2 -1}{-3 - (- 2)}$

or, $m = -\frac{1}{1}$ = -1

So, by POINT SLOPE FORM: the equation of a line is

(y - y0) =m (x -x0),

now for (-3,2) : equation is ( y - 2) = (-1) (x +3)

or, y + x + 1 = 0

Hence, the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0 is y + x + 1 = 0.

6 0

3 years ago

Read 2 more answers

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".

densk [106]

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

$f(n) = 3(2)^n$

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in $f(n) = 3(2)^n$

$f(0) = 3(2)^0$

$f(0) = 3*1$

$f(0) = 3$

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

$f(0) = 3$

Take n = 1

Substitute 1 for n in $f(n) = 3(2)^n$

$f(1) = 3(2)^1$

$f(1) = 3*2$

$f(1) = 6$

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

4 0

3 years ago

ANSWER QUICK 50 point question (will give brainliest)

elena-s [515]

$\\ \sf\longmapsto h(x)=-3x+5$

$\\ \sf\longmapsto h(2)=-3(2)+5=-6+5=-1$

$\\ \sf\longmapsto h(-5)=-3(-5)+5=15+5=20$

5 0

2 years ago

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What is the value of 6x^3 +8x when x = 5

sertanlavr [38]

Just sub x in with 5.
So 6(5)^3+8(5) = 6 (125) + 40 = 750 + 40 = 790.
So 790

6 0

4 years ago

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Hey hons. I will dub the brainliest. please help tho. Remember, the answer isn't zero. Reward: Brainliest! (:

vlada-n [284]

Answer:

The answer is 10

Step-by-step explanation:

6 0

3 years ago

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