All categories

2 years ago

Which point is a solution

Mathematics

1 answer:

blagie [28]2 years ago

4 0

Answer:

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.

A (0, 2)

2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution

B (4, 1)

2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 1 < 7 ⇒ (4, 1) is not a solution

C (0, - 10)

2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution

D (4, 2)

2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution

You might be interested in

Which is the simplified form of (9c^-9)^-3 b 1/729 c^27

rosijanka [135]

ANSWER

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

EXPLANATION

The given expression is

$(9 {c}^{ - 9} )^{ - 3}$

Recall that:

$({a}^{m} )^{n} = {a}^{mn}$

We use the law of exponents to get

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3}$

Let us multiply in the exponents to get:

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27}$

Recall again that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27}$

We expand the power to get:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}$

$(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27}$

We multiply out to get:

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

7 0

2 years ago

The long jump distances of four students are listed in the table below. How much farther

Fiesta28 [93]

Joe jumped the farthest at 6 1/4 (6 ft 3 in)

Chelsey jumped the shortest ar 4 1/5 (4 ft 2.4 in)

6-4=2

3-2.4=.6

the difference is: 2 ft and 0.6 in

4 0

3 years ago

A line passes through the points (1.4) and (2, 2). What is the equation of this line?

emmasim [6.3K]

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = $\frac{2-4}{2-1}$ = $\frac{-2}{1}$ = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

3 0

2 years ago

Read 2 more answers

I need to find the missing angle and arc measures.

Marysya12 [62]

Answer:

I think slope-intercept

8 0

2 years ago

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

Naya [18.7K]

This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
' n ' is the number of years after today,
then

Population = 422,000 (1.12)ⁿ .

6 0

3 years ago