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2 years ago

Which of the following is NOT true about the following equation. y= -4

Mathematics

1 answer:

Alex Ar [27]2 years ago

6 0

Answer:

Answer is D.

Step-by-step explanation:

Which is not true?

So, lets assess the answers given to the question.

A. It is the equation of a horizontal line.

Yes, it is. Since there is only one y - value which is y = -4, we can confirm this is the y intercept, so therefore the x value is zero. But it's not the answer we're looking for.

B. It's slope is zero, yes the slope is zero. It only lists the y-intercept which confirms that the slope is 0.

C. Yes, I mean i can't really explain how. Just use desmos calculator, the graph is exactly perpendicular.

D. The line actually does cross the x-axis, -4 is the y intercept and the x value is 0, and zero is still a point. So D is the one which isn't correct making it the correct answer.

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PLEASE HELP I HAVE 10 MORE MINUTES TO FINISH THIS!!!

evablogger [386]

Answer:

Step-by-step explanation:

add 5+3 then add 1/2 plus 3/4

7 0

2 years ago

Please help! "solving proportions" is what needs done please show all work clearly!

Oksana_A [137]

23) x = $\frac{-60}{9}$ = -6.666.

24) x = $\frac{-12}{7}$ = -1.7142.

25) x = $\frac{-37}{5}$ = -7.4.

Step-by-step explanation:

Step 1; For $\frac{x+6}{3}$ = $\frac{x+4}{12}$ , we cross multiply the denominators and get,

3 × (x + 4) = 12 × (x + 6),

3x + 12 = 12x + 72.

We take all the x terms to the LHS and keep the constants on the RHS.

3x - 12x = 72 - 12,

-9x = 60, x = $\frac{-60}{9}$ = -6.6666.

Step 2; For $\frac{-5}{x-4}$ = $\frac{9}{x+12}$ , we cross multiply the denominators and get,

-5 × (x + 12) = 9 × (x - 4),

-5x - 60 = 9x - 36.

We take all the x terms to the LHS and keep the constants on the RHS.

-5x - 9x = -36 + 60,

-14x = 24, x = $\frac{-24}{14}$ = -1.7142.

Step 3; For $\frac{6}{11}$ = $\frac{x-1}{x-8}$ , we cross multiply the denominators and get,

6 × (x - 8) = 11 × (x - 1),

6x - 48 = 11x - 11.

We take all the x terms to the LHS and keep the constants on the RHS.

6x - 11x = -11 + 48,

-5x = 37, x = $\frac{-37}{5}$ = -7.4.

7 0

3 years ago

100 POINTS please show your work

Anon25 [30]

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Part A

Set f(x)=0 and factor the expression by grouping:

$f(x)=2x^2-3x-5\\\\0=2x^2-3x-5\\\\0=2x^2+2x-5x-5\\\\0=2x(x+1)-5(x+1)\\\\0=(2x-5)(x+1)$

Use the Zero Product Property to find the x-intercepts:

$0=2x-5\\5=2x\\x=\frac{5}{2}$

$0=x+1\\x=-1$

Hence, the x-intercepts for the graph of f(x) are $x=-1$ and $x=\frac{5}{2}$ .

Part B

Find the x-coordinate of the vertex:

$x=-\frac{b}{2a}\\ \\x=-\frac{(-3)}{2(2)}\\\\x=\frac{3}{4}$

Find the y-coordinate of the vertex:

$f(\frac{3}{4})=2(\frac{3}{4})^2-3(\frac{3}{4})-5=-\frac{49}{8}$

Hence, the vertex is $(\frac{3}{4},-\frac{49}{8})$ . We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.

Part C

You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is $f(0)=2(0)^2-3(0)-5=-5$ , or $(0,-5)$ as an ordered pair. See attached graph.