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2 years ago

One student solved the inequality −4 > x/-7 and got 28 28. Are they both correct? Explain

1 answer:

8 0

Answer: solutions are the same, just written differently, inequality sign is reversed when multiplying by a negative. Yes, both students are correct.Jul 8, 2018

Step-by-step explanation:

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What is the equation of the following graph in vertex form?

Veronika [31]

Answer:

The equation in vertex form is:

$y=(x-2)^2+1$

Step-by-step explanation:

Recall that the formula of a parabola with vertex at $(x_{vertex},y_{vertex})$ is given by the equation in vertex form:

$y=a\,(x-x_{vertex})^2+y_{vertex}$

where the parameter $"a"$ can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

$y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-2)^2+1$

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter $a$ :

$y=a\,(x-2)^2+1\\5=a(0-2)^2+1\\5=a\,*\,4+1\\5-1=4\,a\\4=4\,a\\a=1$

The, the final form of the parabola's equation in vertex form is:

$y=(x-2)^2+1$

5 0

2 years ago

please solve for the function and the function only for both of these problems for 10 points! thank you so much! :)

lesya692 [45]

Answer:

y = 5x + 10

y = 0.75x + 4

Step-by-step explanation:

3 0

2 years ago

Does anyone know how to solve this?

andriy [413]

Answer:

8 d5 e2

Step-by-step explanation:

4 0

2 years ago

What is -2¾ as a decimal

gtnhenbr [62]

Answer:

-2 $\frac{3}{4}$ is equal -2.75 as a decimal

Step-by-step explanation:

to take -2 $\frac{3}{4}$ to decimal, we take -2 and put point behind it. by doing so, $\frac{3}{4}$ becomes 300/4=75

Then we have -2.75

5 0

2 years ago

Read 2 more answers

Solve by factoring x^2 + 8x =9

Helen [10]

Answer:

$x=-9,\:x=1$

Step-by-step explanation:

$x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1$

6 0

1 year ago