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3 years ago

Which coordinate lies in the solution set for

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

to do this, u would just sub ur answer choices into the inequalities and see what is true. Keeping in mind, that ur point has to satisfy both inequalities for it to be a solution.

2x + y < 12...subbing in (3,3) 3x - 2y > 2...subbing in (3,3)

2(3) + 3 < 12 3(3) - 2(3) > 2

6 + 3 < 12 9 - 6 > 2

9 < 12....true 3 > 2....true

(3,3) lies in the solution set <==

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Suppose that you have the function f(x) = 9x^5 - 10x^4 - 2x. If f(c) = 1, what can you

n200080 [17]

Answer:

Step-by-step explanation:

The number c is not a root/zero of f(x). If it were, then f(c) would = 0 (that is, the remainder would be zero.

4 0

4 years ago

Anyone knows what’s the answer to this

Andreas93 [3]

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5 0

3 years ago

The sum of Ellie's age and Genya's age is 60. In six years, Genya will be eight times as old as Ellie. How old is Ellie now?

ArbitrLikvidat [17]

Answer:

2 years old

Step-by-step explanation:

Let Ellie's age ⇒⇒⇒ x

And Genya's age ⇒⇒⇒ y

∵ The sum of Ellie's age and Genya's age is 60

∴ x + y = 60 ⇒ (1)

∵ In six years, Genya will be eight times as old as Ellie

∴ (y + 6) = 8 (x+6)

∴ y + 6 = 8x + 48 subtract 6 from both sides

∴ y = 8x + 42 ⇒ (2)

By substituting from 2 at 1 with the value of y

∴ x + (8x + 42) = 60

∴ 9x = 60 - 42 = 18

∴ x = 18/9 = 2

∴ y = 60 - x = 58

So, Ellie's age now = 2 years old

And Genya's age = 58 years old

6 0

3 years ago

Find the slope of the line whose equation is px - qy = r. q/p p/q -r/q

Zina [86]

Answer:

The slope is equal to

$m=\frac{p}{q}$

Step-by-step explanation:

we have

$px-qy=r$

Isolate the variable y

Subtract $px$ both sides

$px-qy-px=r-px$

$-qy=r-px$

Divide by $q$ both sides

$-y=(r-px)/q$

Multiply by $-1$ both sides

$y=(px-r)/q$

$y=\frac{p}{q}x-\frac{r}{q}$ ------> linear equation into slope-intercept form

the slope is equal to

$m=\frac{p}{q}$

The y-intercept is equal to

$b=-\frac{r}{q}$

4 0

4 years ago

Read 2 more answers

Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the

lara31 [8.8K]

3 RIGHT TRIANGLES

1 big right triangle is divided into 2 smaller ones. Medium and small.

a.How far is the spot on the beach from the parking lot?

Medium triangle: long leg = 32 m ; short leg = x

Small triangle: long leg = x ; short leg = 18m

32/x = x/18

32*18 = x*x

576 = x²

√576 = √x²

24 = x

Parking lot to the beach is 24 meters.

b. How far will he have to walk from the parking lot to get to the refreshment stand?

Use Pythagorean theorem:

Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?

32²+ 24² = c²

1024 + 576 = c²

1600 = c²

√1600 = √c²

40 m = c

Parking lot to refreshment stand is 40 meters.

5 0

4 years ago