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4 years ago

I got this two wrong too... if someone can help me ... my results aren’t the same as my options thank you

Mathematics

1 answer:

Digiron [165]4 years ago

6 0

For 12 it is x = 0.94 and -2.54
and for 13 it is linear

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I’m unsure of what this is. help someone

JulsSmile [24]

Let's analyze each part of the function:

FROM x = 0 TO x = 5:

We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:

$The \ graph \ of \ the \ equation: \\ \\ y=mx+b \\ \\ is \ a \ line \ whose \ slope \ is \ m \ and \ whose \ y-intercept \ is \ (0, b)$

So the y-intercept here is $(0,4)$ and $m=\frac{4}{5}$ , therefore:

$\boxed{y=\frac{4}{5}x+4}$

FROM x = 0 TO x = 5:

From the previous line, we know that at $x=5$ the output is:

$y=\frac{4}{5}x+4 \\ \\ y=\frac{4}{5}(5)+4 \\ \\ y=4+4=8$

So the point $P_{1}(5,8)$ lies on both lines.

For this new line, the slope is $m=-\frac{3}{5}$

So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:

$The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1})$

So:

$y-8=-\frac{3}{5}(x-5) \\ \\ y=8-\frac{3}{5}x+3 \\ \\ \boxed{y=-\frac{3}{5}x+11}$

The graph is shown below.

The graph of the linear function $f(x)=ax+b$ is a line with slope $m=a$ and $y-intercept$ at $(0,b)$ . From the items, we can assure that the following equations are linear functions:

$\bullet 3y=2x-1.5 \ because \ y=\frac{2}{3}x-\frac{1}{2} \\ \\ \\ \bullet y=1 \ because \ y=m(0)+1 \\ \\ \\ \bullet 5(x+y)=-25 \ because \ 5x+5y=-25 \ \therefore 5y=-5x-25 \therefore y=-x-5$

In conclusion, the other functions are nonlinear and they are:

$\bullet \ y=x^2+3 \\ \\ \bullet \ y=x^3 \\ \\ \bullet \ y=12-x^2$

7 0

3 years ago

1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation is the coordinate

Alenkinab [10]

I still need that number line.....

4 0

3 years ago

Read 2 more answers

What is 1/4 of 76 in a mathequ on

Softa [21]

The answer is 19. You have to do 1/4 x 76/1 which is basically 76 divided by 4, which gives you 19.

4 0

3 years ago

Calculate the coefficient of x4y18 in the expansion of (x − y)22

Oksana_A [137]

Binomial theorem:

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

The term with $x^4y^{18}$ corresponds to $n=18+4=22$ and $k=4$ (or $k=18$ , since $\dbinom nk=\dbinom n{n-k}$ ).

So, the coefficient of this term is

$\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315$

4 0

3 years ago

Find the missing coordinate to complete the ordered-pair solution to the given linear equation.

ad-work [718]

Y=7x+1

*note that the first number is always the x.
so,

a) (0,?)
y=7(0)+1
y=1
(0,1)

b) (3,?)
y=7(3)+1
y=21+1
y=22
(3,22)

6 0

3 years ago

Read 2 more answers