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Anika [276]
4 years ago
5

What is the approximate solution of this system of equations?

Mathematics
2 answers:
Mariulka [41]4 years ago
7 0
I believe it's the second one, <span>(-0.5, 1.7)


Comment the correct answer. </span>
Maurinko [17]4 years ago
5 0

Answer:

(B)

Step-by-step explanation:

The given system of equations are:

y=x^2+3x+3                                      (1)

and y=x^2+x+2                                (2)

Subtracting equation (2) from (1), we get

0=2x+1

⇒2x=-1

⇒x={\frac{-1}{2}}

⇒x=-0.5

Now, substituting the value of x=-0.5 in equation (2), we get

y=0.25-0.5+2

⇒y=1.7

Thus, the values of x and y are -0.5 and 1.7.

Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).

Hence, option (B) is correct.

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What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours
abruzzese [7]

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

7 0
3 years ago
If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angl
arlik [135]

Answer:

58 degrees

Step-by-step explanation:

If angle 1 + angle 2 = 90 degrees, then:

(3x - 4) + (4x+10) = 90

Combine like terms:

(3x+4x) + (10-4) = 90

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

**Plug x back into angle 2 (This step is easy to forget!):

angle 2 = 4(12) + 10

angle 2 = 48 + 10

angle 2 = 58 degrees

4 0
3 years ago
Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00.
Alina [70]

Answer:

The better deal is 4 bagels for $3.00.

The fractions you would compare would be:

11 / 10 = 1.10 and

3 / 4 = 0.75

A "deal" would refer to the better value. In this case the better deal has a lower ratio of dollars to bagels.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i
pychu [463]
Set the function to equal zero:

-x^2 - 5x + 50 = 0

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plug the values into the equation:

a = -1, b = -5, c = 50

x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}

x=\frac{5\pm\sqrt{25+200}}{-2}

x=\frac{5\pm15}{-2}

Solve for both plus and minus:

\frac{5 + 15}{-2} = \frac{20}{-2} = -10

\frac{5 - 15}{-2} = \frac{-10}{-2} = 5

x = -10, x = 5

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
4 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
Mekhanik [1.2K]

Answer:

y = 1x + 46

Step-by-step explanation:

7 0
3 years ago
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