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3 years ago

Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Mathematics

1 answer:

Brut [27]3 years ago

7 0

Answer:

Yes, because when the values are substituted in, the equation becomes a true statement

Step-by-step explanation:

plug in the values for x and y and see if the equation makes sense

x=3

y=11

1/3(3)+11=12

1+11=12

12=12

Since the above equation is true, the point is a solution for the linear equation.

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What are the intercepts of -4x 6y-5z=60

algol [13]

X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0

set to zero and solve

xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)

ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)

zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)

xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)

6 0

2 years ago

4. Which operation should be completed first in the expression below? Use PEMDAS to evaluate. 24 ÷ (12 – 8) x 6 + 3 a. Add b. Su

irinina [24]

Answer:

Option b - Subtract

Step-by-step explanation:

Given : Expression $24\div(12-8)\times 6+3$

To find : Which operation should be completed first in the expression below?

Solution :

P - Parentheses

E - Exponent

D - Divide

M - Multiplication

A - Addition

S - Subtraction

In the first step we solve the bracket in the expression $24\div(12-8)\times 6+3$

So, we do subtraction i.e. 12-8=4

Therefore, option b is correct.

5 0

3 years ago

Find the future value of $2000 invested at annual rate of 2.4% compounded quarterly for 8 years. Round your answer to hundredths

MatroZZZ [7]

Answer: $2421.95

Step-by-step explanation:

A = p(1 + r/n) ^nt

A= 2000(1+0.024/4)^4x8

A= 2421.95

3 0

3 years ago

What is 28:36 in simplest form

xeze [42]

It would be 7:9 because if you divide each side by 4 then you can get it in simplest form

6 0

3 years ago

Read 2 more answers

Pls help with this math

Salsk061 [2.6K]

Answer:

44.58

Step-by-step explanation:

$v=\frac{4}{3}\pi r^{3}\\ given r= 2.2\\\pi =3.14\\hence:v=\frac{4}{3} (3.14)(2.2)^3=44.58$

5 0

2 years ago