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zysi [14]
3 years ago
5

For a school event, of the athletic field is reserved for the fifth-grade classes.

Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

4 classes, each class gets one spot!

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Question attached plz answer
Bezzdna [24]

Answer:

x = - 2.5

Step-by-step explanation:

Given that the sketch represents

y = x² + bx + c

The graph crosses the y- axis at (0 , - 14), thus c = - 14

y = x² + bx - 14

Given the graph crosses the x- axis at (2, 0), then

0 = 2² + 2b - 14

0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )

10 = 2b ( divide both sides by 2 )

b = 5

y = x² + 5x - 14 ← represents the graph

let y = 0 , then

x² + 5x - 14 = 0 ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

The x- intercepts are x = - 7 and x = 2

The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus

the x- coordinate of the turning point is \frac{-7+2}{2} = \frac{-5}{2} = - 2.5

8 0
3 years ago
Jonathan purchased a new car in 2008 for $25,400. The value of the car has been
Nikolay [14]

Answer:

5,000

Step-by-step explanation:

SORRY IF WRONG

7 0
2 years ago
Without performing the calculation, estimate which expression is larger. Explain how you know
Naddik [55]

Answer:

4 × 10¹⁰ > 2 × 10⁵

Step-by-step explanation:

Given that,

Two numbers in scientific notation.

First number: 4 × 10¹⁰

Second number: 2 × 10⁵

To compare scientific notation number.

First check the exponent of 10

If exponent is larger then number becomes larger.

First number exponent is 10 and second number exponent if 5

10 > 5

Therefore,

4 × 10¹⁰ > 2 × 10⁵

6 0
2 years ago
Are all vertical lines parallel?
BartSMP [9]

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

4 0
3 years ago
7 ft<br> 8 ft<br> 8 ft<br> 5 ft<br> 5 ft<br> Find the total surface area of the prism
Anestetic [448]

Answer:

look up surface area calculator

Step-by-step explanation:

4 0
2 years ago
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