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Julli [10]
2 years ago
6

A weightlifter can increase the weight W(x) that she can lift according to W(x) = 315(1.05)", where x represents the number of t

raining cycles completed. How much will she
lift after 4 training cycles?
Mathematics
1 answer:
labwork [276]2 years ago
8 0

Answer:

She will lift 383 units.

Step-by-step explanation:

The amount of weight that she can lift after x cycles is given by:

W(x) = 315(1.05)^x

How much will she lift after 4 training cycles?

This is W when x = 4, that is, W(4). So

W(x) = 315(1.05)^4 = 383

She will lift 383 units.

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Brand X costs $1.65 for 11 ounces. Brand Y costs 2 cents more per ounce. What is the cost of 15 ounces of brand Y?
34kurt

Answer:

$2.25

Step-by-step explanation:

You can find the answer by setting up a simple equation.

Brand X is 1.65 for 11 ounces

we can find the cost of one ounce of Brand X by using division

1.65/11

.15

this means that for every ounce of Brand X, it costs 15 cents

Since brand Y costs two cents more per ounce that would make it be 17 cents per ounce

now all you need to do is multiply and solve.

.15 * 15 = $2.25

8 0
2 years ago
Read 2 more answers
9 over 6 as a percent
stiv31 [10]
150%. since you already have 6, that's 100%. the extra 3 is half of the 6, meaning that it would be 50%
8 0
3 years ago
Read 2 more answers
The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?
miskamm [114]

Answer:

Answer C is correct.

Step-by-step explanation:

f(x) clearly has a maximum:  y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down.  Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false.  Both functions have max values.

Answer B is false.  One max is y = 10 and the other is y = -10.

Answer C is correct.  The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false.  See Answer B, above.

5 0
3 years ago
A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Alisiya [41]

Answer:

y = \frac{1}{4} x  

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula m= \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}

Thus, the slope is \frac{1}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for m, x_1, and y_1.

Since m represents the slope, substitute \frac{1}{4} for it. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x

5 0
2 years ago
Solve using substitutions! Help w this question please!!
Irina18 [472]

I hope this helps you

6 0
3 years ago
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