1/5 of 45 is what number?

In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .

IgorLugansk [536]

<h2>1. y-intercept</h2>

$\boxed{(0,-10)}$

The quadratic function $f(x)=2x^22-8x-10$ represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set $x=0$ as follows:

$f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)$

<h2>2. x-intercepts</h2>

$\boxed{(-1,0) \ and \ (5,0)}$

To find the other x-intercept, we must set $y=0$ as follows:

$f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5$

Therefore, the other x-intercept is $(5,0)$ . You can see both the y-intercept and the x-intercepts in the figure below.

8 0

3 years ago

Help me pls I need help asap

Aliun [14]

These two angles are corresponding angles, so x = 136 degrees

8 0

3 years ago

Perform the indicated operations; reduce the answer to lowest terms.

kow [346]

a. 9/10

explanation:

• the denominators (bottom number) are the same so there is no need to change to a common factor

• because the fractions have common factors, you add the top numbers (3+6) to get 9

• then you put the top number over the 10 (9/10) and it’s simplified as much as possible

b. 3/4

explanation:

• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12

• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)

• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)

• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)

• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12

- both 9 & 12 are divisible by 3, so you simply by dividing both by 3 to get 3/4

c. 1/3

explanation:

•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6

• then, because both numbers are divisible by 2, you divide both by 2 and get 1/3

3 0

3 years ago

andre rode his bike at a constant speed he rode 1 mile in 5 minutes which of these equations represents the amount of time in mi

Alex777 [14]

We are given

Andre rode his bike at a constant speed he rode 1 mile in 5 minutes

Firstly, we will find constant speed

In 5 minutes , distance travelled =1 miles

so, we get speed

$v=\frac{1}{5} mile/min$

Let's assume T is time in minutes

D is the distance in miles

we know that

$Time=\frac{Distance}{speed}$

so, we can plug value

and we get

$T=\frac{D}{\frac{1}{5} }$

so, we get

$T=5D$ ...............Answer

3 0

3 years ago

What is the base 10 number of 60 +3?

Sauron [17]

60 is the base OK. I think am right

3 0

3 years ago