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3 years ago

9

Evaluate F(3)for the piecewise function which value represents F(3)

1 answer:

Lynna [10]3 years ago

6 0

Answer:

When x = 3, use -3x -2

-3(3) - 2 = -9 - 2 = - 11

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Hi, the answer is K but can anyone show why

dlinn [17]

Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.

Answer: C

52.

$(x^3)^{(4-b^2)}=1$

$x^{3(4-b^2)} = 1$

For the statement to be true, the exponent must be zero:

$3(4-b^2) = 0$

$b^2 = 4$

$b = \pm 2$

Both positive 2 and negative 2 have a square of 4.

Answer: K

By the way, usually we assume $0^0=1$ so the restriction that $x \ne 0$ isn't really necessary. Think of the definition of a polynomial or the binomial expansion:

$\displaystyle f(x)=\sum_{k=0}^n a_k x^k$

$\displaystyle(x+y)^n=\sum_{k=0}^n {n \choose k} x^{k}y^{n-k}$

For these common equalities to work when $x=0$ we need to define $0^0=1$

3 0

4 years ago

4. When finding the intersection of two lines from both Algebra I and Geometry, you first "set the linear

Masteriza [31]

<u><em>Answer:</em></u>

The intersection point is (-4,-19)

<u><em>Explanation:</em></u>

<u>The two given equations are:</u>

y = 5x + 1

y = 2x - 11

<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>

<u>This is done as follows:</u>

5x + 1 = 2x - 11

5x - 2x = -11 - 1

3x = - 12

x = -4

<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>

<u>Using the first equation:</u>

y = 5x + 1 = 5(-4) + 1 = -19

<u>Check using the second equation:</u>

y = 2x - 11 = 2(-4) - 11 = -19 ................? checked

<u>Therefore:</u>

The intersection point between the two given equations is (-4,-19)

Hope this helps :)

3 0

3 years ago

A poster is to have an area of 210 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. find the exac

slavikrds [6]

Let

x-------> the length side of the poster

y-------> the width side of the poster

we know that

Area of the poster is equal to

$210=x*y\\\\ y=\frac{210}{x}$ -------> equation $1$

Area of the printed area is equal to

$Aprinted=(x-2)*(y-3)\\ Aprinted=xy-3x-2y+6$ ----> equation $2$

substitute equation $1$ in equation $2$

$Aprinted=[210]-3x-2*[\frac{210}{x}]+6$

using a graph tool

Find the vertex of the graph

The vertex of the graph is the point that represent the value of x for the largest printed area

see the attached figure

the vertex is the point $(11.83,145)$

the largest printed area is $145 in^{2}$

$x=11.83 in$

find the value of y

$y=\frac{210}{x} \\ \\ y=\frac{210}{11.83} \\ \\ y=17.75in$

therefore

the answer is

The dimensions of the poster are $11.83 in x 17.75 in$

8 0

3 years ago

Read 2 more answers

X = 37.6 I believe. Am I correct or no?

I am Lyosha [343]

I believe you are correct

7 0

3 years ago

Garden table and bench is 657 total. Garden table is $43 less than bench. What cost of bench?

lord [1]

614$ is the price of the bench

3 0

2 years ago

Read 2 more answers