MATHEMATICS HIGH SCHOOL

Solve for x and y simultaneously
x+3y=5
xy+y² =3

Answers

Answer 1

Answer:

y = 1 x = 2

y = 3/2 x = 19/2

Explanation:

x = -3y + 5

y(-3y + 5) + y² = 3

-3y² + 5y + y² = 3

-2y² + 5y = 3

2y² - 5y + 3 = 0

2 x 3 = 6

-3 x -2 = 6

2y² - 2y - 3y + 3

2y(y - 1) -3(y - 1)

(2y - 3) (y - 1)

y = 1 -- x = -3(1) + 5 = 2

y = 3/2 -- x = -3(3/2) + 5 = 19/2 (might want to check w a calculator since i didnt use one)

Answer 2

Answer: X=1 y=2 :) your welcomee

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At the sewing store, Linda bought a bag of mixed buttons. The bag included 70 buttons, of which 30% were large. How many large buttons did Linda get?

Answers

Answer:

Step-by-step explanation:

The distance in meters of a basket suspended on a spring to a tabletop below is dependent on the number of steel bearings in the basket. The function representing this relationship is d(m) = 7 – 2m, where d(m) represents the distance in meters, and m represents the number of steel bearings in the basket. Which set represents the evaluation of the function d(m) = 7 – 2m when m ∈ {0, 1, 2, 3}?

Answers

The set representing the evaluation of the function d(m) for m ∈ {0, 1, 2, 3} is {7, 5, 3, 1}.

What is the set of the evaluation?

To evaluate the function d(m) = 7 - 2m for different values of m, we simply need to substitute each value of m from the given set {0, 1, 2, 3} into the function and compute the corresponding d(m) values.

Let's calculate d(m) for each value of m:

For m = 0:

d(0) = 7 - 2(0) = 7

For m = 1:

d(1) = 7 - 2(1)= 7 - 2 = 5

For m = 2:

d(2) = 7 - 2(2) = 7 - 4 = 3

For m = 3:

d(3) = 7 - 2(3) = 7 - 6 = 1

So the set representing the evaluation of the function d(m) for m ∈ {0, 1, 2, 3} is {7, 5, 3, 1}.

Learn more about set of function here: brainly.com/question/29631554

#SPJ3

Answer:

do u have a pic or something

there are 40 students in a class. 60% are boys. 25% of the boys have brown hair. how many boys have brown hair?

Answers

Answer:

10 boys have brown hair

Step-by-step explanation:

40 x .25 = 10

Answer:

10 boys

Step-by-step explanation:

Help please !!!!
1 . What is the mean of the data set?

Answers

means can be translated to average
average= total number/number of objects or numbers
so the answer is 393, 399, 402,402,407, 410, 424, 425, 428 all added together then divided by 9
if we use a calculator to add them up we get 3690
then divide by 9
3690/9=410
410 is the mean

mean = sum / number of items

in the firs row there is 39 | 3 9 which means there are items 393 and 399,
to calculate sum i may write 393 + 399, or 3 + 9 + 39*2*10 which i find easier to calculate

sum = 3 + 9 + 2 + 2 + 7 + 0 + 4 + 5 + 8 + (2*39 + 3*40 + 1*41 + 3*42)*10 = 40 + (78+120+41+126)*10 = 40 + 3650 = 3690
mean = sum / number of items = 3690 / 9 = 410

On what intervals is the graph of f(x)=x^3-2x^2+5x+1 increasing?On what intervals is the graph of f(x)=0.5x^2-6 decreasing?

On what intervals is the graph of f(x)= $(x+1)/(x-1)$ increasing?

Answers

$f(x)=x^3-2x^2+5x+1\n f'(x)=3x^2-4x+5\n3x^2-4x+5=0\n\Delta=(-4)^2-4\cdot3\cdot5=16-60=-44$
$\Delta<0 \wedge a>0 \Rightarrow$ the graph of the parabola is above the x-axis, so the derivative is always positive and therefore the initial function is increasing in its whole domain.

$f(x)=0.5x^2-6\nf'(x)=x$
The function is decreasing when its first derivative is negative. The first derivative of this function is negative for $x<0$ so for $x\in(-\infty,0)$ the function is decreasing.

$f(x)=(x+1)/(x-1)\qquad(x\not=1)\nf'(x)=(x-1-(x+1))/((x-1)^2)=-(2)/((x-1)^2)$
The function is increasing when its first derivative is positive. The first derivative of this function is always negative therefore this function is never increasing.

Add the decimals 64.5 +2.407+ 10+12.95