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3 years ago

Which sample space represents all the ways a child could choose one entre and one side for his or her meal.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

BA, BF,CA,CF,PA,PF,SA,SF

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*FIRST ANSWER GETS BRAINLIEST*

svet-max [94.6K]

The other solution to the equation is -3.

Step-by-step explanation:

Given equation is;

5x²+bx+12=0

One solution is -4/5

We will put this solution in Eqn to get the value of b first,

$5(\frac{-4}{5})^2+b(\frac{-4}{5})+12=0\\5(\frac{16}{25})+(\frac{-4b}{5})+12=0\\\frac{16}{5}-\frac{-4b}{5}=-12\\$

Multiplying each term by 5

$5*(\frac{16}{5})-\frac{-4b}{5}*5=-12*5\\16-4b=-60\\-4b=-60-16\\-4b=-76$

Dividing both sides by -4

$\frac{-4b}{-4}=\frac{-76}{-4}\\b=19$

Putting b=19 in given Eqn

5x²+19x+12=0

Here,

a=5 , b=19 , c=12

Using quadratic formula,

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\x=\frac{-(19)\±\sqrt{(19)^2-4(5)(12)}}{2(5)}\\\\x=\frac{-19\±\sqrt{361-240}}{10}\\\\x=\frac{-19\±11}{10}\\$

Either, or,

$x=\frac{-19+11}{10},\ \ \ \ \ \ x=\frac{-19-11}{10}\\x=\frac{-8}{10},\ \ \ \ \ \ \ \ \ x=\frac{-30}{10}\\x=\frac{-4}{5},\ \ \ \ \ \ \ \ \ \ x= -3$

The other solution to the equation is -3.

Keywords: linear equation, quadratic formula

Learn more about quadratic formula at:

#LearnwithBrainly

6 0

3 years ago

Determine weather (4x + 3) is a factor of (4x^2 - 5x - 6)

weqwewe [10]

Answer: A. (4x+3) (x-2) = 4x^2-5x-6

Step-by-step explanation:

7 0

3 years ago

The measure of an angle is 43∘ more than the measure of its complement. Find the angle

Ymorist [56]

<span>supplement = 2(complement )+43
..
180-x=2(90-x)+43
180-x=180-2x+43
2x-x=43
x=43 deg</span>

6 0

4 years ago

Question 5 (Essay Worth 10 points)

otez555 [7]

Answer:

x = 4

Step-by-step explanation:

Given:

$\sqrt{11x+5}=7$

Square both sides:

$\implies \left(\sqrt{11x+5}\right)^2=7^2$

$\implies 11x+5=49$

Subtract 5 from both sides:

$\implies 11x+5-5=49-5$

$\implies 11x=44$

Divide both sides by 11:

$\implies 11x \div 11=44 \div 11$

$\implies x=4$

4 0

2 years ago

Read 2 more answers

Deana bought 12 packages of batteries. Some of the packages contained 4 batteries and some contained 6 batteries. She bought a t

NARA [144]

Answer:

She bought 7 battery packs containing 6 batteries

Step-by-step explanation:

4bx5= 20 batteries

6bx7=42 batteries

42+20=62

7 0

3 years ago