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3 years ago

Consider the following piecewise-defined function.

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

Answer is 11

Step-by-step explanation:

Given in a piecewise function as

$f(x) = x^2-5, x3$

We find that the above function is defined for all real values of x except at x =3

We are to find out f(-4)

Since $-4$ we substitute -4 in the first function

$f(-4) = (-4)^2-5= 11$

Thus we get answer as 11

Fittoniya [83]3 years ago

7 0

In order to solve this, we need to select the function that meets our constraints. Since x^2 - 5 occurs when x is less than 3, and the x-value we are given is -4, we use the first function.

f(-4) = (-4)^2 - 5
f(-4) = 16 - 5
f(-4) = 11

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3 years ago

Two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas

joja [24]

Answer:

4 km per hour and 6 km per hour.

Step-by-step explanation:

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3 years ago

Last year Jan had 25 model airplanes in her collection. This year she has 32% more model airplanes. Jan then gave her brother 6

Igoryamba

Answer: Jan now has 27 model airplanes.

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[To calculate 32% of 25

25 x 32/100

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3 years ago

here's a graph of a linear function. write the equation that describes that function. express it in slope intercept form. HELP!

IRISSAK [1]

Answer:

$y=\frac{3}{4}x+2$

Step-by-step explanation:

So when you express a linear function in slope-intercept form it's given in the form of y=mx+b, where m is the slope, and b is the y-intercept. This is because as x increases by 1, the y-value will increase by m (because multiplication), and since the slope is defined as rise/run, the rise will be m, and run will be 1, giving you a slope of m/1 or m. The reason b is the y-intercept, is because whenever the linear function crosses the y-axis, the x-value will always be 0. Meaning that mx will be 0 because m * 0 will equal 0... and that leaves b by it self, so b will determine the y-intercept.

So if you look at the graph, the linear function crosses the y-axis as (0, 2) so the value of b will be 2. This gives you the equation y=mx+2.

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