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3 years ago

The Key Club has 35 members. There are three more girls than boys. Write and solve a system of

Mathematics

2 answers:

Sever21 [200]3 years ago

7 0

Answer: 19 girls

16 boys

Step-by-step explanation:

x -girls

y- boys

Lets set system of liner equations:

x+y=35

y=x-3

-----------------

x+(x-3)=35

2x-3=35

2x=38

x=38/2

x=19

19 girls

y=x-3

y=19-3

y=16

16 boys

Troyanec [42]3 years ago

5 0

Answer:

19 girls

Step-by-step explanation:

Since there are 3 more girls than boys, 35-3=32

32/2=16

Now add back the 3

16+3=19

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Solve by factoring: X^2-13x-14=0

AURORKA [14]

Answer:

x = -1 and x= 14

Step-by-step explanation:

x^2 -13x -14=0

x^2 + x- 14x -14 = 0

x(x+1) -14(x+1) = 0

(x+1)(x-14) =0

x+1 = 0

x= -1

x-14=0

x= 14

4 0

3 years ago

I REALLY NEED HELP plz

cestrela7 [59]

Answer:

Day 1: 12 is 40% and 18 is 60%

Day 2: 14 is 47% and 16 is 53%

Day 3: 13 is 43% and 17 is 57%

as for the second question, the reason why it's different for each day is probability, the probability can change with literally every movement like how hard you fling it or if there's outside interference like the wind.

Step-by-step explanation:

6 0

3 years ago

The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po

sladkih [1.3K]

Answer:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

$\displaystyle \frac{dy}{dx}=3x^2-3$

Point A has an x-coordinate of -1. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0$

Find the y-coordinate of Point A using the original equation:

$y(-1)=(-1)^3-3(-1)=2$

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

$y-2=0(x-(-1))$

Simplify:

$y=2$

Point B has an x-coordinate of 4. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45$

Find the y-coordinate of Point B:

$y(4)=(4)^3-3(4)=52$

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

$y-52=45(x-4)$

Simplify:

$y=45x-128$

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for x:

$2=45x-128$

We acquire:

$\displaystyle x=\frac{26}{9}$

Since one of our equations is y = 2, the y-coordinate is 2.

Hence, Point C is:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

5 0

3 years ago

Read 2 more answers

I need help here is the imagen and thank you!!

mojhsa [17]

Answer:

so I don't have a calculator with my but first answer is 9 and second answer is 14 squared plus 14 squared and then you square root it. third answer is 24 squared equals x squared plus x squared.

3 0

3 years ago

What does i^16 equal and how do you get the answer

svp [43]

Answer:

i^16 = 1

Step-by-step explanation:

i = √-1 = i

i^2 = i * i = (√-1)^2 = -1

i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i

i^4 = i^2 * i^2 = -1 * -1 = 1

the order keeps following......

i^16 = 1

since i^16 is same thing as i^4 * i^4

and we know i^4 = 1 so 1*1=1

7 0

3 years ago