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2 years ago

Which equation matches the graph shown?

Mathematics

2 answers:

timofeeve [1]2 years ago

7 0

Take 2 points

(0,-3)
(1,1)

Slope:-

$\\ \sf\longmapsto m=\dfrac{1+3}{1}=4$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y+3=4x$

$\\ \sf\longmapsto y=4x-3$

pogonyaev2 years ago

4 0

Answer:

C. y = 4x - 3

Step-by-step explanation:

<u>The line has a positive slope and negative y-intercept.</u>

m = 4, b = - 3

This is only matched by a choice C

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2.38+4.89=3+ _ <br><br>changing expressions??

Lerok [7]

Add 2.38 and 4.89 then subtract 3 giving you 4.27

3 0

3 years ago

Round 62,686 to nearest hundredth

Semenov [28]

Answer: 62.7 is rounded to the nearest hundredth.

Step-by-step explanation:

Because...

if you look at the 6 at the hundredth place then you have to look at the number next to it, which is 8 and since it's 5 and greater it the 6 becomes a 7 and therefor, the answer is 62.7.

* Hopefully this helps:) Mark me the brainliest:)!!

5 0

3 years ago

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Alex

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

3 0

2 years ago

The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false? True False

tigry1 [53]

The system of the equation doesn't give the solution at (-3, -6).

<h2>Given to us</h2>

-4x+y = 6
5x-y =21

<h3>Equation 1,</h3>

-4x+y = 6

solve for y

$-4x+y =6\\y= 6+4x$

<h3>Equation 2,</h3>

5x-y =21

substitute the value of y in equation 2,

$5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27$

Substitute the value of x in equation 2,

$5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114$

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

Learn more about system of equations:

brainly.com/question/12895249

6 0

2 years ago

A new neighborhood activity complex is being built in erie. The perimeter of the rectangular playing field is 256 yards. The len

maw [93]

Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

we know that

The perimeter of the rectangular playing field is equal to

$P=2(x+y)$

$P=256\ yd$

$256=2(x+y)$ ------> equation A

we have that

$x=2y-4$ -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

$256=2(2y-4+y)$

$128=3y-4$

$3y=128+4$

$3y=132$

$y=44$

Find the value of x

$x=2(44)-4=84$

therefore

The length of the rectangular playing field is 84 yards and the width is 44 yards

4 0

3 years ago