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3 years ago

Which equation represents y=13x-12

Mathematics

2 answers:

LuckyWell [14K]3 years ago

5 0

Answer: A

Step-by-step explanation:

Irina-Kira [14]3 years ago

3 0

Answer:

<h2>Option A </h2>

-13x + y = -12

Step-by-step explanation:

As,

Here when,

y = 13x - 12

-13x + y = -12.

[Since '+' sign converts to '-' sign on opposite side of the equation]

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2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Which of the following is equivalent to (5) 3 O 54 O 54 05 O V5

IrinaK [193]

Answer:

D. $\sqrt[3]{5^7}$

Step-by-step explanation:

The formula for this conversion is:

$a^\frac{x}{n}=\sqrt[n]{a^x}$

Substitute the values you currently have.

$5^\frac{7}{3}=\sqrt[n]{a^x}$

Since we know that

a = 5

x = 7

n = 3

Fill the square root with this.

$5^\frac{7}{3}=\sqrt[3]{5^7}$

4 0

2 years ago

Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?

pochemuha

Answer:

Sarah mowed 1 lawn in 3 hours

Step-by-step explanation:

3 lawns divided by 3 is 1 lawn

9 hours divided by 3 is 3 hours

7 0

2 years ago

Read 2 more answers

The probability distribution for a

Luden [163]

Answer:

0.30

Step-by-step explanation:

P(x ≤ -3) = P(x=-3) + P(x=-5)

P(x ≤ -3) = 0.13 + 0.17

P(x ≤ -3) = 0.30

6 0

4 years ago

A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x^2 – 8x – 9), whe

algol13

Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
$0 = -16(x^2-8x-9)$

We can divide by -16, nothing will happen because 0 divided by anything is 0:
$0 = x^2-8x-9$

To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
$0 = ax^2 + bx + c$

So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
$0 = (x-9)(x+1)$

Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."

4 0

4 years ago

Read 2 more answers