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Sedaia [141]
3 years ago
14

Consider this function.

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
7 0

Answer: A) x=\frac{5}{2} and  x=-\frac{2}{3}

Step-by-step explanation:

Make the quadratic function f(x)=6x^2-11x-10 equal to zero:

6x^2-11x-10=0

Having the form ax^2+bx+c=0, the zeros can be calculated with a formula called "Quadratic formula":

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

Identify a, b and c:

a=6\\b=-11\\c=-10

Finally, substitute them into  the Quadratic formula:

x=\frac{-(-11)\±\sqrt{(-11)^2-4(6)(-10)}}{2(6)}\\\\x=\frac{11\±\sqrt{361}}{12}\\\\x=-\frac{2}{3}\\\\x=\frac{5}{2}

alexgriva [62]3 years ago
3 0

Answer:

2, 3, 5

Step-by-step explanation:

just took it

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1.You have exactly 18 white socks and 18 blue socks in your sock drawer. How many times do you need to reach into the drawer and
masha68 [24]

Answer:

3 times

Step-by-step explanation:

Given

18-white socks

18 blue socks

36 socks total

First time reached in,

18/36 ( =1/2=(50%)) chance of getting a white sock, 18/36 (=1/2=(50%)) chance of getting a blue sock

assuming you got a white sock,

17-white socks

18-blue socks

35 socks left in

Second time reached in,

17/35 (<1/2=(50%)) chance of getting a white sock, 18/35 (>1/2=(50%)) chance of getting a blue sock

You would be more likely to get a blue sock, assuming you did,

17-white socks

17-blue socks

34 socks left

Third time reached in,

17/34(=1/2=(50%)) chance of getting a white sock, 17/43(=1/2(50%)) chance of getting a blue sock

Regardless of what sock is picked you would have a matching pair of socks in hand

8 0
3 years ago
Hiii, helpp thxxxxxx
PSYCHO15rus [73]

Answer:

because angles on a straight line add up to 180 degrees substract (180-110), step 2; you will get 70 degrees afterwards the angle y is perpendicular it's 90 degrees.step 3;add (90+70) you get 160 .step 4;then substract (180-160) you get your answer as 20 degrees

7 0
3 years ago
Read 2 more answers
What is the approximate percent decrease when a fish count goes down from 850 to 500?
Fudgin [204]
So, the count went down from 850 to 500, or 350 units.

if we take the 850 to be the 100%, what is 350 in percentage off of it?

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;850&100\\&#10;350&x&#10;\end{array} \implies \cfrac{850}{350}=\cfrac{100}{x}

solve for "x".
5 0
3 years ago
Is -17 a natural number
7nadin3 [17]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>-17 isn't a natural number</em>

<em />

▹ Step-by-Step Explanation

Positive integers are only natural numbers, meaning negative numbers aren't natural numbers.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
AC is tangent to circle O at point C. What is the length of AB?
DochEvi [55]

The length of AB is 9.

Solution:

Given data:

Radius OC = 8

Tangent AC = 15

The angle between the tangent and radius is always right angle.

∠C = 90°.

Hence OCA is a right triangle.

Using Pythagoras theorem,

<em>In a right triangle square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

OA^2=15^2+8^2

OA^2=225+64

OA^2=289

OA^2=17^2

Taking square root on both sides of the equation, we get

OA = 17

OB is the radius of the circle.

⇒ OB = 8

AB = OA – OB

     = 17 – 8

     = 9

AB = 9

Hence the length of AB is 9.

4 0
4 years ago
Read 2 more answers
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