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tekilochka [14]

2 years ago

5

There are 10 animals in the field. some are buffalo and some are ducks there are 34 legs in all. how many of each animal are in

the field?

1 answer:

hoa [83]2 years ago

5 0

Answer:

7 buffalos and 3 ducks

Step-by-step explanation:

create a system of equations:

4 y + 2 x = 34

y + x = 10

* y is for buffaos and x is for ducks

solve the equation:

y=10-x

4(10-x)+2x=34

x=3

y=10-3

y=7

7 buffalos and 3 ducks

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Help asap!<br><br> Thanks in advance!<br><br> There's two questions btw:)

lutik1710 [3]

Answer:

[1].

Option A and D are correct.

[2].

Option A is correct

Step-by-step explanation:

[1].

Quadratic function states that it is an equation of second degree i.,e it contains at least one term that is squared.

The standard form of the quadratic equation is; $ax^2+bx+c = 0$

A.

$y(y+4)-y = 6$

Using distributive property: $a\cdot (b+c) = a\cdot b + a\cdot c$

$y^2+4y-y=6$

Combine like terms;

$y^2+3y = 6$

or

$y^2+3y -6=0$ which represents a quadratic equation.

B.

$3a-7 = 2(7a-3)$

$3a-7 = 14a-6$

or

$11a+1 = 0$ which is not a quadratic equation.

C.

(3x+2)+(6x-1) = 0

Combine like terms;

9x +1 = 0 which is not a quadratic equation.

D.

4b(b) = 0

$4b^2 = 0$ which represents the quadratic equation.

[2].

Given the parent function: $y=x^2$

The reflection rule over x axis is given by;

$(x, y) \rightarrow (x, -y)$

then

the function become: $y = -x^2$

Vertical shift:

If c is a positive real number, the graph y=f(x)+c is the graph of y =f(x) shifted upward c units.

If c is a positive real number, the graph y=f(x)-c is the graph of y =f(x) shifted downward c units.

then;

The graph $y=-x^2-3$ is the graph of $y=-x^2$ shifted 3 units down.

Therefore, the translation of the graph of $y=x^2$ to obtain $y=-x^2-3$ is, reflect over the x-axis and shift down 3

6 0

3 years ago

List all the terms in the expression below 6X -10 Y +13 +5z

marishachu [46]

plz mark me as brain list

7 0

2 years ago

Read 2 more answers

Evaluate if a = 2 and b = 4 : 4a + 6b

bogdanovich [222]

Answer:

8+24

32

Step-by-step explanation:

4 times 2 is 8

6 times 4 is 24

5 0

2 years ago

Which of the following rational functions is graphed below?

vladimir2022 [97]

Answer: Choice C $f(x) = \frac{1}{x(x+4)}$

========================================================

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. $f(x) = \frac{1}{x(x+4)}$

4 0

2 years ago

HELP? I don’t know the answer

iren [92.7K]

ANSWER

It is horizontally compressed by a factor of 2 and reflected over the y-axis.

EXPLANATION

The parent function given to us is

$y = \sqrt{x}$

The parent function has been transformed to obtain

$y = \sqrt{ - 2x}$

This transformation is of the form:

$y = \sqrt{kx}$

If

$|k| > 1$

then,there is a horizontal compression by a factor of k.

Hence

$y = \sqrt{ - 2x}$

is horizontally compressed by a factor of 2.

Since -2<0, it is a reflection in the y-axis.

The correct choice is the last option.

3 0

3 years ago