Which graph represents the function? f(x)=−x2+x+6

The points in the table lie on a line. Find the slope of the line.

maria [59]

The slope of the line is $-\frac{3}{4}$

First, you must find 2 points.

(-6,8) (-2,5)

Then, you must substitute the value of the points in.

$\frac{5-8 }{-2+6}$

Finally, simplify the fraction.

$-\frac{3}{4}$

3 0

4 years ago

The equation of a circle is x^2+y^2+6x-2y-15=0. find the center and radius of the circle.

Serjik [45]

Answer:

(-3, 1), 5

Step-by-step explanation:

x² + y² + 6x - 2y - 15 = 0

Rearrange:

x² + 6x + y² - 2y = 15

Complete the square:

x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1

(x + 3)² + (y - 1)² = 25

Therefore, the center is (-3, 1) and the radius is 5.

7 0

3 years ago

Jaylan and casper are equal partners in J&C racoon hats. Jaylan contributed 12000 and casper contributed inventory with a FM

alexdok [17]

Answer:

The question continues ; Which of the following is true ;

Jaylan basis in the partnership is $12,00 and Caspers is 10,000

Jaylan and Casper each have a basis in the partnership of 12,000

Jaylan will have a larger share of the profits than Casper

The first and third answers are both correct

Answer ; Jaylan and Casper each have a basis in the partnership of 12,000

Step-by-step explanation:

Both Jaylan and casper will have a partnership basis of $12,000 , it was mentioned initially in the question that (Jaylan and casper are equal partners in J&C racoon hats), equal partners implies both Jaylan and casper with have equal profit and equal losses as the case maybe Irrespective of the amount each contributed. Hence Jaylan and Casper each have a basis in the partnership of 12,000.

7 0

4 years ago

Please help me with this one question, and I'll upvote the brainliest answer

ra1l [238]

Answer: " x = 12 " .

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Step-by-step explanation:

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Note: If 2 (two) triangles are "similar" ; then their corresponding sides are "proportional".

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Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically; " 6x + 28 " ;

→ And since we want to solve for the value of "x" ; we use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :

→ Set up proportions as a "ratio" ; or fraction:

→ 7:28::25:(6x + 28) ; Solve for "x" ;

Let us write this in the form of a "fraction" :

→ $\frac{7}{28} = \frac{25}{(6x+28)}$ ;

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Note:

→ Rewrite: " $\frac{7}{28}$ " ; by simplifying to:

" $\frac{1}{4}$ " ;

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→ Since: " $\frac{7}{28}$ " ;

= " (7÷7) / (28÷7) " ;

= " (1 /4) " ;

= " $\frac{1}{4}$ " .

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Now, rewrite the "proportion" ; as follows:

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$\frac{1}{4} = \frac{25}{(6x+28)}$ ;

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Now: "Cross multiply" ; that is:

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→ Given: " $\frac{a}{b} = \frac{c}{d}$ " ;

and: " b $\neq$ 0 " ; " d $\neq$ 0 " ;

→ Then: " a * d " = " b * c " .

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Likewise: " 1(6x + 28) = (4) * (25) " ;

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SImplify: " 6x + 28 = 100 " ; Solve for "x" ;

→ Subtract "28" from each side of the equation:

→ " 6x + 28 - 28 = 100 - 28 " ;

to get: → " 6x = 72 " ;

Now, divide each side of the equation by: " 6 " ;

to isolate "x" on one side of the equation; & to solve for "x" ; as follows:

→ " 6x = 72 " ;

→ 6x / 6 = 72 / 6 ;

to get:

→ " x = 12 " ;

→ which is the answer.

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Hope this helps!

Best wishes in your academic pursuits

— and within the "Brainly" community!

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5 0

3 years ago

What’s the answer of g

Lunna [17]

Answer:

$\huge\boxed{g(a-1)=\dfrac{2-a}{a}=\dfrac{2}{a}-1}$

Step-by-step explanation:

$g(t)=\dfrac{1-t}{1+t}\\\\g(a-1)-\text{substitute}\ t=a-1\ \text{to}\ g(t):\\\\g(a-1)=\dfrac{1-(a-1)}{1+(a-1)}=\dfrac{1-a-(-1)}{1+a+(-1)}=\dfrac{1-a+1}{1+a-1}=\dfrac{(1+1)-a}{(1-1)+a}=\dfrac{2-a}{a}$

6 0

3 years ago