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3 years ago

Need help ASAP! Tysm

Mathematics

1 answer:

GuDViN [60]3 years ago

4 0

Answer:

It is -7x + 5

Step-by-step explanation:

I could do a whole explanation, but I'm sure you want the answer quickly. So there ya go. Hope this helps!

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

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4 years ago

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Jill converted the equation of the line 15 x minus 14 y = negative 2 into slope-intercept form and found the slope and y-interce

fgiga [73]

Answer:

hello! in short the answer is B! i took the test and didnt do very good but id thought id share this to help some people!

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3 years ago

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A $320 dollar suit is marked down by 30% find the sales price

marta [7]

Answer:

224

Step-by-step explanation:

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3 years ago

The ratio of children to teachers at preschool is 14:5. How many children are at the preschool if there are 30 teachers

elena55 [62]

If the ratio is 14 childen to every 5 teachers, and there are thirty teachers... there are 84 children. hope I could help!

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3 years ago

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After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma

Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

$DJs = 7$

$To\ pick = 4$

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

$^nP_r = \frac{n!}{(n-r)!}$

Where

$n = 7$

$r = 4$

So:

$^nP_r = \frac{n!}{(n-r)!}$

$^7P_4 = \frac{7!}{(7-4)!}$

$^7P_4 = \frac{7!}{3!}$

$^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}$

$^7P_4 = 7 * 6 * 5 * 4$

$^7P_4 = 840$

Hence, number of ranking is 840

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3 years ago