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2 years ago

Harry decided to buy some candy bars that

1 answer:

7 0

If its 3.55 for for the drink 3.55 - 10.12 is 6.57 and if each candy bar is 2.19 x 3 is 6.57 so you can get 3 candy bars

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Convert 2.4kg into cg

dangina [55]

When you convert it you'll get 240,000 cg

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3 years ago

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Hugo took these steps to solve the system of equations.

KengaRu [80]

Answer:

Step-by-step explanation:

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3 years ago

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The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (50t)/(t^2+25) In o

NARA [144]

Answer:

Step-by-step explanation:

<u>Functions </u>

The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:

$\displaystyle c(t)=\frac{50\ t}{t^2+25}$

We need to find the first value of t such that

$\displaystyle c(t)\geq 4$

It means that

$\displaystyle \frac{50\ t}{t^2+25}\geq 4$

Operating with the inequality

$\displaystyle 50\ t\geq 4\ t^2+100$

Rearranging and dividing by 2, we have a polynomial inequality:

$\displaystyle 2t^2-25t+50\leq 0$

Factoring

$\displaystyle 2(t-10)\left (t-\frac{5}{2}\right )\leq 0$

There are two possible values for t, both valids because they are positive

$\displaystyle t=\frac{5}{2}=2.5, \ t=10$

We need to find the first value, i.e.

$t=2.5 \ hours$

Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.

The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values

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3 years ago

What is the range of the function in this table?

bekas [8.4K]

Answer: A) 1, 2, 4

Step-by-step explanation:

The range of a function is every y value.

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3 years ago

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Which of the following is an example of direct variation?

Dafna11 [192]

Answer: Choice A) y = cx

The 'c' is the constant of variation

For example, if c = 2, then y = 2x is a direct variation. Whatever x is, we double it to get y. As x increases, so does y. As x decreases, then so does y. Both x and y increase/decrease together.

Direct variation equations always go through the origin, and they are always linear. The 'c' plays the role of the slope. You can think of y = cx as y = mx+b where b = 0 in this case and c = m.

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3 years ago