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3 years ago

A archer releases an arrow with an initial velocity of 30 feet per second at a height of 3 feet. The path the arrow takes

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

7 0

Answer:1.97

Step-by-step explanation:

weeeeeb [17]3 years ago

5 0

Answer:

1.97

Step-by-step explanation:

The arrow will hit the ground when the height is 0. We need to solve the quadratic equation:

$-16x^{2} +30x+3=0$

Solving the quadratic equation gives two solutions −0.10 and 1.97 because we know the answer should be a positive number of seconds we can conclude that the object will hit the ground at 1.97 seconds.

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A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.

Neko [114]

<h3>Answer:</h3>

y = 0.026x – 0.05

<h3>Step-by-step explanation:</h3>

When the number of pages increases by 100, the cost goes up 2.60, so the price per page is 0.026, and the cost for x pages is 0.026x.

For the first 50 pages, the cost is only 1.25, which is less than 1.30 by 0.05, so the cost function is ...

... y = 0.026x - 0.05

7 0

3 years ago

Read 2 more answers

If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th

klemol [59]

Answer:

$Sum = 32$

Step-by-step explanation:

Given

Sequence = Consecutive Odds

$T_7 = 9$

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

$S = \{-3,-1,1,3,5,7,9,11\}$

Add up all terms in the sequence

$Sum = -3-1+1+3+5+7+9+11$

$Sum = 32$

8 0

3 years ago

The table shows some values of a function of the form y

kherson [118]

The value of c, the constant of the function y = ax² + bx + c, exists -3.

<h3>What is an equation?</h3>

An equation exists as an expression that indicates the relationship between two or more numbers and variables.

Given that: y = ax² + bx + c

At point (4, 21)

21 = a(4²) + 4b + c .......(1)

At point (5, 32)

32 = a(5²) + 5b + c .........(2)

At points (6, 45)

45 = a(6²) + 6b + c .......(3)

Therefore, the value of a = 1, b = 2 and c = -3.

The value of c, the constant of the function y = ax² + bx + c, exists -3.

To learn more about equations refer to:

brainly.com/question/2972832

#SPJ9

4 0

1 year ago

Geometry math question

Brut [27]

Look at the picture.

Let |AE| = |AD| = b

We have a proportion:

$\dfrac{x}{13}{y}=\dfrac{19}{y+a}=\dfrac{x}{y+2a}$

Solve for y from first proportion

$\dfrac{13}{y}=\dfrac{19}{y+a}\ \ \ |\text{cross multiply}\\\\19y=13(y+a)\\\\19y=13y+13a\ \ \ \ |-13y\\\\6y=13a\ \ \ |:6\\\\y=\dfrac{13}{6}a$

Substitute to the second proportion

$\dfrac{19}{y+a}=\dfrac{x}{y+2a}\\\downarrow\\\dfrac{19}{\frac{13}{6}a+a}=\dfrac{x}{\frac{13}{6}a+2a}\\\\\dfrac{19}{\frac{13}{6}a+\frac{6}{6}a}=\dfrac{x}{\frac{13}{6}a+\frac{12}{6}a}\\\\\dfrac{19}{\frac{19}{6}a}=\dfrac{x}{\frac{25}{6}a}\ \ \ \ |\dot a\neq0\\\\\dfrac{19}{\frac{19}{6}}=\dfrac{x}{\frac{25}{6}}\\\\19\cdot\dfrac{6}{19}=x\cdot\dfrac{6}{25}\\\\6=\dfrac{6x}{25}\ \ \ |\cdot25\\\\6x=6\cdot25\ \ \ |:6\\\\x=25$

Answer: B. 25

7 0

4 years ago

If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???

alexira [117]

Answer:

y=3x-4

Step-by-step explanation:

5 0

3 years ago