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3 years ago

What is(are) the intercept(s) of the exponential function shown below?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

Answer:

option D

Step-by-step explanation:

for x intercept

the curve crosses the x asis at 1

then for y intercept it crosses the y axis at-2

that's all...have fun

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Pls helppppppppppppppppppppp

Julli [10]

Answer:

10 2/3

Step-by-step explanation:

Multiply 4 and 2 and then multiply 2 and 4. If you do that then you get 8 8/3. You then just take the numerator and turn it into whole numbers to get 10 2/3.

4 0

3 years ago

What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?

DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. $\frac{n(n-3)}{2}$

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

$\frac{n(n-3)}{2}$

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = $\frac{6(6-3)}{2}$

= $\frac{18}{2}$

= 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = $\frac{7(7-3)}{2}$

= $\frac{28}{2}$

= 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = $\frac{30(30-3)}{2}$

= $\frac{810}{2}$

= 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = $\frac{n(n-3)}{2}$

The number of diagonals in a n-gon is $\frac{n(n-3)}{2}$

7 0

3 years ago

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

eimsori [14]

we have

$f(x)=x^{2} +2x-15$

we know that

The x-intercept is the value of x when the value of the function is equal to zero

in this problem

Find the roots of the function

equate the function to zero

$x^{2} +2x-15=0$

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

$x^{2} +2x=15$

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

$x^{2} +2x+1=15+1$

$x^{2} +2x+1=16$

Rewrite as perfect squares

$(x+1)^{2}=16$

Square root both sides

$(x+1)=(+/-)\sqrt{16}$

$(x+1)=(+/-)4$

$x=-1(+/-)4$

$x1=-1+4=3$

$x2=-1-4=-5$

$x^{2} +2x-15=(x-3)(x+5)$

therefore

the answer is

the x-intercepts are the points $(3,0)$ and $(-5,0)$

3 0

3 years ago

Read 2 more answers

What is the simplified form of 12z^2-7z-12/3z^2+2z-8? ...?

gavmur [86]

It should go like this:

(4z + 3) (3z - 4) / (3z - 4) (z + 2)

Then you just cancel out (3z -4) and (3z -4), and the final simplified form of this polynomial is:

(4z +3) / (z + 2)

4 0

3 years ago

A-8 B-16 C-12 Please help guys.

Ksju [112]

Its c the answer is c because 8+4 is 12 and if you get rid of the angle and move the line so it’s straight it would be both 8 and 4

6 0

2 years ago