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3 years ago

7

You want a rug in the bedroom. You only have a space that measures 9 feet by 7 feet. Do you have enough space for a rug with an

area of 60 square feet?

1 answer:

Annette [7]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

9 x 7 = 63

63 is greater that 60

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How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1

Rus_ich [418]

Answer:

Correct option: C -> 2

Step-by-step explanation:

The first equation is:

$x^2+y^2=363$

And the second equation is:

$x-y+1=0$

From the second equation, we have:

$y = x + 1$

Using this value of y in the first equation, we have:

$x^2 + (x+1)^2 = 363$

$x^2 + x^2 + 2x + 1 = 363$

$2x^2 + 2x= 362$

$x^2 + x - 181 = 0$

Calculating the discriminant Delta, we have:

$\Delta = b^2 - 4ac = 1 + 4*181 = 725$

We have $\Delta > 0$ , so we have two real values for x, therefore we have two solutions for this system.

Correct option: C.

(If the system of equation is actually:

$x^2+y^2=36$

$3x-y+1=0$

We would have:

$y = 3x + 1$

$x^2+(3x+1)^2=36$

$x^2+9x^2+6x+1=36$

$10x^2+6x-35=0$

$\Delta = 36 + 1400 = 1436$

We also have $\Delta > 0$ , so we have two solutions for this system.

Correct option: C.)

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3 years ago

What is the slope of y = -4x - 3?

Ber [7]

Answer:

The slope is -4

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3 years ago

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Express the function graphed on the axes below as a piecewise function.

N76 [4]

Answer:

f(x) =

if x ≤ -3, -2 + 1

if x > 1, 2x - 8

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3 years ago

What describes the number and type of the roots of the equation 4x+7=0

Kaylis [27]

Answer:

D : One Real Root

Step-by-step explanation:

Isolate "4x" by subtracting 7 from both sides.

So we get

4x = -7

Then we divide each side by 4 to get -7/4

x = -7/4 so there is only one real root.

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3 years ago

If a new sweater sells for $49, find the total cost if you were charged 6% sales tax.

IgorLugansk [536]

Answer:

$8.2

Step-by-step explanation:

49/6=8.16666666667

8.16666666667 Rounded = 8.2

$8.2

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3 years ago