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julia-pushkina [17]
3 years ago
9

The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown based on the graph of the function which of th

e following statements are true. Select all that apply

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

In the picture attached, the function f(x) = -x² + 4x - 3 is shown.

Based on the graph of the function, the following statements are true:

  • f(x) < 0 on the interval x < 0
  • f(x) < 0 on the interval 0 < x < 1
  • f(x) > 0 on the interval 1 < x < 3
  • f(x) < 0 on the interval x > 3

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A circle has a radius of 12ft . find the length s of the arc intercepted by a central angle of 9° .
charle [14.2K]
Plug in the values into the base equation; 

l=2 \pi r(  \frac{ \alpha }{360} ) <-- alpha is the degree 

l=2 \pi (12)(9/360) 
l=1.88495 ft ≈ 1.90 ft 

Hope I helped :) 
4 0
3 years ago
Please help <br> I will mark brainliest<br> AOD is 62 degrees btw
sertanlavr [38]

Step-by-step explanation:

a)

DA is tangent and at point A and OA is radius of the circle.

\therefore OA \perp DA\\\therefore \angle OAD = 90°\\In\: \triangle AOD\\m\angle AOD= 180° - (m\angle OAD + m\angle ODA) \\\therefore m\angle AOD= 180° -(90°+28°)\\\therefore m\angle AOD= 180° -118°\\\huge \red {\boxed {\therefore m\angle AOD=62°}} \\\\b) \\\because m\angle ABC = \frac{1}{2} \times m\angle AOD\\

(Angle formed at the circumference of the circle is half the angle formed at the center of the circle)

\therefore m\angle ABC = \frac{1}{2} \times 62°\\\huge \red {\boxed {\therefore m\angle ABC = 31°}}

7 0
3 years ago
1. What is the price per pencil if 145 pencils cost $12.00? (unit rate) *
nevsk [136]

Answer:

$12.08

Step-by-step explanation:

divide 145 by 12 and BOOM, you get 12.08

3 0
2 years ago
Please help! It’s due tomorrow it also says to show my work
Pani-rosa [81]

Given:

The inequality is

x+19\leq 23

To find:

The value of x and then graph on the number line.

Solution:

We have,

x+19\leq 23

Subtracting 19 from both sides, we get

x+19-19\leq 23-19

x\leq 4

It means all the real values of x which are less than or equal to 4 are in the solution set. So, an arrow approaches towards left from x=4 as shown in the below figure.

6 0
2 years ago
Fifty people were surveyed about their preference between chocolate and vanilla cake. The following two
GuDViN [60]

Answer:

TOTAL

Male

18

6

4

28

Female

15

5

2

22

TOTAL

33

November

6

50

In This sample, are the events "female" and "prefers chocolate" mutually exclusive

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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