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Bezzdna [24]
3 years ago
12

Graph the following line by plotting the x and y intercepts: 6x – 4y = -8

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
Hello : 
<span>x intercepts : y =0  : 6x-4(0) = -8
</span>6x =-8 
x= -4 /3
y intercepts :  x =0 : 6(0)-4y = -8
-4y = -8
y = 2

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If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
qwelly [4]

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

8 0
2 years ago
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P:-3x + 8x - 5x = x<br><br> q: (3x)(5y) = 15xy<br><br> Which of the following statements is false?
Varvara68 [4.7K]

Answer: Statement p is false.

Step-by-step explanation:

In both cases, we need to isolate the variables:

p: -3*x + 8*x - 5*x = x

   (-3*x - 5*x) + 8*x = x

    -8x + 8*x = x

        0 = x

This will be true only for one value of x, so this is not always true, which means that the statement is false.

q: (3*x)*(5*y) = 15*x*y

let's solve the left side:

  3*x*5*y = 15*x*y

  (3*5)*(x*y) = 15*x*y

   15*x*y = 15*x*y

This is true for every value of x and y, then this statement is true.

5 0
2 years ago
Can someone quickly help me solve this ?!
Rainbow [258]

Answer: 8

Step-by-step explanation: if you count the angels and the sides then you'll get the answer 8..

7 0
3 years ago
Read 2 more answers
If tn = 4n+1, find t1, t2, t3, and tn+1. Express tn+1−tn in its simplest form.
Doss [256]

Answer:

t_1=5

t_2=9

t_3=13

t_{n+1}-t_n=4

Step-by-step explanation:

We have that:

t_n=4n+1

When we substitute n=1, we get:

t_1=4*1+1=5

When we substitute n=2 we get:

t_2=4*2+1=9

When we substitute n=3, we get:

t_3=4*3+1=13

When we substitute n=n+1, we get:

t_{n+1}=4*(n+1)+1=4n+5

Now

t_{n+1}-t_n=4n+5-(4n+1)

We expand and simplify to obtain:

t_{n+1}-t_n=4n+5-4n-1

t_{n+1}-t_n=4

3 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
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