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3 years ago

11

Graph the function and find the range

1 answer:

kramer3 years ago

6 0

The answer for the graph would be C. While x is less than or equal to 0, there is the graph of -4x. While x is greater than x, there is the graph of -5 (horizontal line). Furthermore, the closed dot at the end of the -4x represents the less than or EQUAL TO. The dot at the end of the -5 is open because it is only true when x > 0.

The range (y-values where the graph exists) is [-5]∪[0, infinity)

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Lee wants to cut this piece of canvas into two rectangles that are 3x2 and 3x5. He wants the sum of the two small rectangles to

lord [1]

Yes because 3×2= 6 , 3×5= 15, 15 + 6 = 21

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3 years ago

Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra

ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

Greg swam 16 kilometers with the current.

Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= $(x-3)\ kmph$

Speed of swimming with current= $(x+3)\ kmph$

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, $Time= \frac{Distance}{Speed}$

⇒ $\frac{4}{(x-3)} = \frac{16}{(x+3)}$

Multiplying both side by (x+3) and (x-3)

⇒ $4\times (x+3)= 16\times (x-3)$

Using distributive property of multiplication.

⇒ $4x+12= 16x-48$

Subtracting both side by 4x and adding by 48.

⇒ $60= 12x$

Dividing both side by 12

⇒ $x= \frac{60}{12} = 5\ kmph$

Hence, Greg can swim at the rate of 5kmph with no current.

7 0

3 years ago

The graph of f(x) = 2x^2 + 20x + 48 is shown

Free_Kalibri [48]

Answer:

a) The equation in intercept form by factoring is (x+6)(x+4)

b) From the given graph x- intercepts are (-4,0) and (-6,0) and zeros (roots) of the function are -6 and -4.

c) The solutions of $2x^2+20x+48=0$ is $(x+6)(x+4)=0$ that is x= -6 and x = -4.

Step-by-step explanation:

The given quadratic equation is $f(x)=2x^2+20x+48$

Put the function f(x) = 0 , then $f(x)=2x^2+20x+48=0$

a) The equation in intercept form by factoring is ,

Consider the given function,

$f(x)=2x^2+20x+48=0$

$\Rightarrow 2x^2+20x+48=0$

taking 2 common, we get,

$\Rightarrow 2(x^2+10x+24)=0$

$\Rightarrow x^2+10x+24=0$

The above is a quadratic equation of the form $ax^2+bx+c=0$

Solving quadratic equation using middle term splitting method,

$\Rightarrow x^2+6x+4x+24=0$

$\Rightarrow x(x+6)+4(x+6)=0$

$\Rightarrow (x+6)(x+4)=0$

Thus, The equation in intercept form by factoring is (x+6)(x+4).

b) From the given graph x- intercepts are (-4,0) and (-6,0) .

Zeroes / roots of a function are those points where the value of the function is zero.

Put f(x) = 0 as solved above

that is $(x+6)(x+4)=0$

$\Rightarrow (x+6)=0$ or $\Rightarrow (x+4)=0$

$\Rightarrow x=-6$ or $\Rightarrow x=-4$

Thus, zeros (roots) of the function are -6 and -4.

For checking put x = -6 and -4 in the function we get f(x) =0 .

c) The solutions of $2x^2+20x+48=0$ is $(x+6)(x+4)=0$ that is x= -6 and x = -4 as shown above.

8 0

3 years ago

What is the place value of the 2 in 3290.14?<br> PLZ ANSWER FASTT

Bingel [31]

Answer:

d - hundreds

Step-by-step explanation:

290- 2 hundred

6 0

3 years ago

Read 2 more answers

Find the missing side or angle.

kkurt [141]

Hope you understand :)

4 0

3 years ago