All categories

2 years ago

Consider the quadratic function.

Mathematics

1 answer:

lilavasa [31]2 years ago

8 0

Answer:

N = -1

explanation:

x = N

solving steps:

$\sf f(x)=x^2+2x-15$

<u>To find symmetry of a quadratic function.</u>

vertex formula : $\sf x=\dfrac{-b}{2a}$

$a=1,\:b=2$

$\sf x=\dfrac{-2}{2\cdot \:1}$

$\sf x = -1$

Then,

N = -1

You might be interested in

Can someone help plsssss !!!!

nevsk [136]

The area of the circle is 3.14 square millimeters

<h3>Calculating Area</h3>

From the question, we are to the area of the circle

The area of a circle can be determined by using the formula,

A = πr²

Where A is the area of the circle

and r is the radius of the circle

From the given information,

r = 1 mm

and π = 3.14

Putting the parameters into the equation, we get

A = 3.14 × 1²

A = 3.14 × 1

A = 3.14 mm²

Hence, the area of the circle is 3.14 square millimeters

Learn more on Calculating Area here: brainly.com/question/15673093

#SPJ1

3 0

1 year ago

Geometry math question no Guessing and Please show work

Vera_Pavlovna [14]

IN ORDER TO FIND THE ANSWER:

Add up two of the values. If they are greater than the third, the lengths can make up a triangle.

3 + 9 = 12
12 > 14? No

3 + 5 = 8
8 > 7? Yes

1 + 2 = 3
3 > 3? No

4 + 4 = 8
8 > 8? No

The answer would be B.

5 0

3 years ago

Help please! Need help solving

NISA [10]

For the perimeter you have to consider the EXTERNAL SHAPE ONLY:

a) the perimeter of half a circle WITHOUT ITS DIAMETER is:
π.R - 2R → 3.14x1.5 - 2x1.5 → 1.71 cm

b) the perimeter of the rectangle WITHOUT THE UPPER SIDE is:
2.5+3+2.5 = 8 cm

Hence the perimeter of the figure is 1.71 + 8 = 9.71 cm

2) Area of the figure:
Area of half circle is π.R²/2 →3.14 x (1.5)²/2 → Area half circle = 3.5325 cm²
Area of rectangle = 2.5 x 3 = 7.5 cm²
Total area = 3.5325 + 7.5 = 11.0325 ≈ 11 cm²

3 0

3 years ago

Factor the expression -10x^2-41x-21

BaLLatris [955]

$-10x^2-41x-21= -(10x^2+41x+21) =-(10x^2+35x+6x+21)=\\\\=- [(10x^2+35x)+(6x+21 )]=- [5x(2x +7 )+3(2x+7 )]=-(2x+7)(5x+3)$

5 0

3 years ago

Read 2 more answers

Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to

Ierofanga [76]

Graph the system of linear inequalities

x + y > 5

- x - y < -5

First we graph x + y >5

Step 1: replace > symbol by = sign

x + y =5

step 2 : Solve the equation for y

x + y =5 (subtract x from both sides)

y = 5 - x

step 3: Now we make a table . plug in some number for x and find out y

x -----> y

-1 -----> 6 ( y=5-x => y=5-(-1)= 6)

0 -----> 5 ( y=5-x => y=5-(0)= 5)

1 -----> 4 ( y=5-x => y=5-(1)= 4)

Step 4: we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation by -1 , we got the same as the first equation.

So we will get the same graph

Both graphs overlaps

The graph of first and second inequality overlaps

The graph is attached below

4 0

3 years ago