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3 years ago

11

Isreal has $57 in the bank. He adds $32 to it each month. He wants to buy a bike that cost $435. Every month the bike's price is

reduced by $10. How many months will it take Israel to afford the bike?

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

9

Step-by-step explanation:

57 + 32x equals 435 - 10x

42 x equals 378

x equals 9

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A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

horsena [70]

Answer:

The equation of line passing through points (1 , 4) and (3 , - 4) is y = - 4 x + 8

Step-by-step explanation:

Given as :

A line is passing through points

$x_1$ , $y_1$ = 1 , 4

$x_2$ , $y_2$ = 3 , - 4

<u>Now, Equation of line in point-slope form is</u>

y - $y_1$ = m × (x - $x_1$ )

where m is the slope of line

∵ m = $\dfrac{y_2 - y_1}{x_2 - x_1}$

i.e m = $\dfrac{ ( - 4 ) - 4}{3 - 1}$

Or, m = $\dfrac{ - 8}{2}$

Or, m = - 4

So, The slope of line = m = - 4

∵, equation of line can be written as

y - $y_1$ = m × (x - $x_1$ )

<u>So, Putting the value of slope, m and points ( $x_1$ , $y_1$ )</u>

i.e y - 4 = ( - 4 ) × ( x - 1 )

Or, y - 4 = ( - 4 ) × x + 4

Or, y - 4 = - 4 x + 4

Or, y = - 4 x + 4 + 4

∴ y = - 4 x + 8

So, The equation of line y = - 4 x + 8

Hence, The equation of line passing through points (1 , 4) and (3 , - 4) is y = - 4 x + 8 Answer

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3 years ago

Read 2 more answers

In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could

saul85 [17]

Answer:

a 0.5

b 0.4831

c 0.4354 < P < 0.53008

Step-by-step explanation:

Given that :

Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5

Sample size (n) = 296

Selected sample (X) = 143

a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

The proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5

b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?

Point estimate $(p') = \frac{X}{n}$

= $(p') = \frac{143}{296}$

= 0.4831

c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

The $Z_c$ for 90% is 1.645

Using the formula P" -E < P < P" + E

where E = margin of error : $Z_c * \sqrt{\frac{P(1-P)}{n} }$

$=1.645 * \sqrt{\frac{0.4831(0.5169)}{296} }$

$=1.645 * \sqrt{\frac{0.2497}{296} }$

$=1.645*0.029$

= 0.0477

∴ P" -E < P < P" + E

= 0.4831 - 0.0477 < P < 0.4831 + 0.0477

= 0.4354 < P < 0.53008

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4 years ago

A function is in the form g(X) = ax^2 + d. If a is greater than 1 and d is negative, which could be the graph of g(x)?

romanna [79]

Answer:

Option B

Step-by-step explanation:

Step-by-step explanation:

We have the function $g(x)=ax^2 +d$ then, by definition:

If $0$ then the graph is compressed vertically by a factor a.

If $|a| > 1$ then the graph is stretched vertically by a factor a

If $a$ then the graph is reflected on the x axis.

If $d> 0$ the graph moves vertically upwards d units.

If $d$ the graph moves vertically down d units.

We know that:

$a > 1$ then the graph is stretched vertically by a factor a

and

$d$ the graph moves vertically down d units

The searched graph is stretched vertically and its vertex is displaced downwards

The answer is option B

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3 years ago

Round 45,621 to the nearest hundred.

Schach [20]

Answer:

The answer is 45600 as 621 is less than 650 and should be rounded down.

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PLEASE HELP QUICK!! Repost because typos | 100 POINTS

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Well you have to first look at the chart to see if it fits what Ariel claimed.

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3 years ago