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2 years ago

Is the point (3, 4) a solution to the linear equation 5x - 9y = 32?

Mathematics

2 answers:

belka [17]2 years ago

8 0

Answer:

it equals -21 so no

Step-by-step explanation:

happy valentines!

Pachacha [2.7K]2 years ago

4 0

Answer:

No, It does not.

Step-by-step explanation:

(3,4) means (x,y). When you insert 3 to x and 4 to y, You get this:

5(3)-9(4)=32

If you multiply 5 and 3, You get 15.

15-9(4)=32

If you multiply 9 and 4, you get 36.

15-36=32

If you subtract 15-36, you get -21.

This is why the answer is no because -21 does not equal 32

-21 ≠ 32

Hope this helps! :)

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The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0

3 years ago

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They h

Assoli18 [71]

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: brainly.com/question/25285332

6 0

2 years ago

1. The spinner shown has six congruent sections.

kondaur [170]

Answer:

Step-by-step explanation:

The probability of obtaining a 3 is

P(3) = $\frac{1}{6}$

Then after 30 spins the predicted number of times it should land on 3 is

30 × $\frac{1}{6}$ = 5

8 0

2 years ago

Find the slope.<br> (-4, 10) (8, - 2)

s344n2d4d5 [400]

Answer:

is the slop in slope intercept form2=-2x

Step-by-step explanation:

-2--4

8- 10

2=-2x

5 0

2 years ago

Which expression matches the verbal description below?

Ronch [10]

Answer:

Quotient = division of one number by another

$\implies \textsf{quotient of 30 and 6} = \sf \dfrac{30}{6}$

$\implies \textsf{3 subtracted from } \sf \dfrac{30}{6}=\dfrac{30}{6}-3$

The quotient of 30 and 6 can also be written as the ratio 30 : 6

Therefore, the solution is (30:6) - 3

8 0

2 years ago

Read 2 more answers