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3 years ago

Quadratic Equations and Functions - Part 2

Mathematics

2 answers:

ryzh [129]3 years ago

7 0

When the ball hits the ground, the height is 0. Substitute 0 for

−

200

−

200

−

200

This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,

−

√

−

. In this case, the variable is

rather than

−

, and

200

−

(

−

)

√

(

−

)

−

(

−

)

(

200

)

(

−

)

Simplify. Be very careful with the signs.

√

100

12800

−

√

12900

−

Use a calculator to find both roots.

is approximately

−

3.86

3.24

Consider the roots logically. One solution,

−

3.86

, cannot be the time because it is a negative number. The other solution,

3.24

seconds, must be when the ball hits the ground.

Answer

The ball hits the ground approximately

3.24

seconds after being thrown.

exis [7]3 years ago

4 0

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

h(t) = 5 + 98t – 4.9t²

<u>Filling in the table using the function, substitute t for each line:</u>

<u>time | elevation</u>

The graph is attached

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Read 2 more answers

Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point

seropon [69]

Answer:

$3\ point\ word = 5$

$2\ point\ word = 15$

$1\ point\ word = 10$

Step-by-step explanation:

Given

Represent

3-point word with T;

2-point with U and

1-point with V

$U = 5 + V$ --- (1)

If total questions is 30, then

$T + U + V = 30$ --- (2)

If total points is 55, then

$3T + 2U + V = 55$ --- (3)

Substitute 5 + V for U in (2) and (3)

$T + U + V = 30$ --- (2)

$T + 5 + V + V = 30$

$T + 5 + 2V = 30$

$T + 2V = 25$ ---- (4)

$3T + 2U + V = 55$ --- (3)

$3T + 2(5 + V) + V = 55$

$3T + 10 + 2V + V = 55$

$3T + 10 + 3V = 55$

$3T + 3V = 55 - 10$

$3T + 3V = 45$

Divide through by 3

$T + V = 15$ ---- (5)

Subtract (5) from (4)

$(T + 2V = 25 )- (T + V = 15)$

$T - T + 2V - V = 25 - 15$

$V = 10$

Recall that:

$U = 5 + V$

$U = 5 + 10$

$U = 15$

Substitute 10 for V in (5)

$T + V = 15$

$T + 10 = 15$

$T = 5$

3 0

3 years ago

3. If 30 is 50% of a value, what is that value?

Anvisha [2.4K]

.50 × N = 30
Divide both sides by .50
N = 60.

5 0

3 years ago

The diagram below shows the construction of the bisector of âˆ abc. which statement is not true?

Ksenya-84 [330]

Answer:

$c)\overline{AC}=2\overline{AB}$

Step-by-step explanation:

<u>Retrieved Information:</u>

Which statement is not true?

a) $a)\overline{AC}=\overline{CB}\\b)\overline{CB}=\frac{1}{2}\overline{AB} \\c)\overline{AC}=2\overline{AB}\\d)\overline{AC}+\overline{CB}=\overline{AB}$

b) Check the graph below

1) To bisect is to equally divide an angle or a line segment, into two equal parts. The bisector of AC divides the line segment AC in its midpoint, so AC≅CB, therefore AC=CB. In addition to this, this is equivalent to say that CB is = 1/2AB.

Finally, this is also true that AC+CB=AB.

2) Clearly AC is not equal to 2AB since AC=CB is = 1/2AB then it is false.

$c)\overline{AC}=2\overline{AB}\:FALSE$

6 0

3 years ago