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3 years ago

In the inequality, what are all the possible values of x?

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

Answer:

B) $\displaystyle x ≤ 0$

Step-by-step explanation:

2(x + 12) − 16 ≤ 8

$\displaystyle \frac{2(x + 12)}{2} ≤ \frac{24}{2} \\ \\ x + 12 ≤ 12 \\ \\ x ≤ 0$

I am joyous to assist you anytime.

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How would you graph this correctly onto a graph?

saw5 [17]

Answer:

Here is how you graph your equations correctly :D

Step-by-step explanation:

Graph y > x − 2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: 1

y-intercept: (0, -2)

Graph a dashed line, then shade the area above the boundary line since y is greater than x − 2 .

y > x - 2

Graphy < −4x + 2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: -4

y-intercept: (0, 2)

Graph a dashed line, then shade the area below the boundary line since y is less than − 4 x + 2 .

y < -4x + 2

Plot each graph on the same coordinate system.

y > x - 2

Y < -4x + 2

I hope this helps.

8 0

3 years ago

Amelia opened a new savings account at a local bank. She made a beginning deposit of $1,000. The account earns 2% simple interes

Grace [21]

Answer:

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I = interest at the end of t years

r represents the interest rate.

P represents the principal or initial amount deposited.

t represents the number of years of investment.

From the information given,

P = 1000

R = 2%

T = 5 years

Therefore,

I = (1000 × 2 × 5)/100

I = $100

The total amount in the account after 5 years would be

1000 + 100 = $1100

3 0

3 years ago

Francine Flicka found a bargain when she bought a lawn mower. She paid the store's clerk three $20 bills and received him $7.45

adoni [48]

Answer:

$48.97

Step-by-step explanation:

Let p represent the marked price of the mower. Then the price with tax is ...

with tax = p + 7.3%×p = 1.073p

The amount Flicka paid is the amount tendered less the change she received, so is ...

3×$20 - 7.45 = with tax = 1.073p

To find p, we can divide by its coefficient:

(3 × $20 - 7.45)/1.073 = p ≈ $48.97

The selling price before taxes was $48.97.

_____

<em>Comment on the problem</em>

If you check the answer, you find the amount with tax is ...

$48.97 × 1.073 ≈ $52.54481 ≈ $52.54

so the change Flicka would have received would have been $7.46, not $7.45. If the price were $48.98, then the change would have been $7.44. There is no price at which the mower can be marked that will make the total with tax come to $52.55. There is no solution to this problem.