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2 years ago

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Part of the graph of the function f(x) = (x + 4)(x - 6) is shown below. which statement about the function are true? Select two

options. - The vertex of the function is at (1,-25) - The Vertex of the function as at (1,-24) - The graph is increasing only on the interval-4< x < 6. - The graph is positive only on one interval, where x < -4. - the Graph is negative on the entire interval -4 < x < 6.

2 answers:

nekit [7.7K]2 years ago

9 0

Answer:

Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.

Step-by-step explanation:

1. the vertex of the function:

f(x)= (x + 4)(x - 6) = x^2 - 2x - 24

x₀= 2/2= 1 y₀= 1^2 - 2*1 - 24= -25

(1; -25)

2. the Graph is negative on the entire interval -4 < x < 6

gregori [183]2 years ago

8 0

Answer:

The vertex of the function is at (1,–25).

The graph is increasing only on the interval −4< x < 6.

Step-by-step explanation:

A and C on edg

You might be interested in

Nonamiya [84]

Your answer is E. $25.

First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:

2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46

Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18

Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25

I hope this helps! Let me know if you have any questions :)

8 0

2 years ago

goblinko [34]

Answer:

coordinate of point A is (a,b)

coordinate of point C is (2c,d)

slope of AD and BC = $\frac{b}{a-c}$

Step-by-step explanation:

According to midpoint formula

If we have points P $(x_{1} ,y_{1} )$ and Q $(x_{2} ,y_{2} )$

then the coordinate (x,y) of mid point of line PQ is given by

$x=\frac{x_{1} +x_{2} }{2}$ and $y=\frac{y_{1} +y_{2} }{2}$

now from the given diagram A is the mid point of line joining R(0,0) and S(2a,2b)

Using midpoint formula, coordinates of point A is given by

$x=\frac{0+2a}{2}= a$ and $y=\frac{0+2b}{2} =b$

so we have

coordinate of point A is (a,b)

Also C is the midpoint of line joining T (2c,2d) and V(2c,0)

coordinate of point C is given by

$x= \frac{2c+2c}{2} =2c$ and $y=\frac{2d+0}{2} =d$

so we have

coordinate of point C is (2c,d)

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P $(x_{1} ,y_{1} )$ and Q $(x_{2} ,y_{2} )$

then the slope of PQ = $\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

hence slope of AD= $\frac{0-b }{c-a}$

= $\frac{-b}{c-a}$

= $\frac{-b}{-(a-c)}$

= $\frac{b}{a-c}$

and slope of BC = $\frac{d-(b+d)}{2c-(a+c)}$

= $\frac{d-b-d}{2c-a-c}$

= $\frac{-b}{c-a}$

= $\frac{b}{a-c}$

so we have

slope of AD and BC = $\frac{b}{a-c}$

7 0

2 years ago

Read 2 more answers

A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each

MakcuM [25]

The cost of $1\frac{3}{4}$ pounds chocolate milk is $6.25 more than the cost of $1\frac{3}{4}$ pounds of Caramel.

Step-by-step explanation:

Given,

Cost of one pound of Caramels = $10.28

Cost of $1\frac{3}{4}$ pounds of Caramel = $10.28*1\frac{3}{4}$

Cost of $1\frac{3}{4}$ pounds = $10.28*\frac{7}{4}=\frac{71.96}{4}= \$17.99$

Cost of one pound of chocolate milk = $13.85

Cost of $1\frac{3}{4}$ pounds = $13.85*1\frac{3}{4}=13.85*\frac{7}{4}$

Cost of $1\frac{3}{4}$ pounds = $\frac{96.95}{4}=\$24.24$

Difference = 24.24 - 17.99 = $6.25

The cost of $1\frac{3}{4}$ pounds chocolate milk is $6.25 more than the cost of $1\frac{3}{4}$ pounds of Caramel.

Keywords: difference, multiplication

Learn more about multiplication at:

#LearnwithBrainly

5 0

2 years ago

Marshall's mother buys 2 boxes of granola bars each week. Each box contains 8 granola bars. If she continues buying 2 boxes each

frutty [35]

2 x 8 =16
16 granola bars a week
52 x 16 = 832 granola bars in a year

7 0

2 years ago

For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from

Gre4nikov [31]

5c+10a=3570 c+a=512 ... a=512-c so ... 5c + 10(512-c)=3570

8 0

2 years ago

Read 2 more answers