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3 years ago

1.

2 answers:

8 0

Remember, you can do anything to an equationas long as you do it to both sides

1.
-6+x=-3
add 6 to both sides
6-6+x=6-3
0+x=3
x=3

2.
add like terms
-5a+5a+9=8
0a+9=8
0+9=8
9=8
false
no solution
zero solutions

ankoles [38]3 years ago

5 0

For number 1 all you have to do is add 6 to both sides of the equation. So -3+6= 3. The answer is positive 3.
And for number 2 the answer is one.

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The table shows input and output values for three functions.

Dovator [93]

Answer:

x-intercepts exist in the 3 functions

y-intercepts exist in the 3 functions

The function h(x) has the lowest minimum.

The function f(x) has the greatest maximum.

Step-by-step explanation:

Given

The attached table

Solving (a): x-intercepts

A function has x intercept if its y value equals 0.

From the table, we have:

$f(2)=0$

$g(4) = 0$

$h(2) = 0$

<em>All functions have x intercept</em>

Solving (b): y-intercepts

A function has y intercept if its x value equals 0.

From the table, we have:

$x = 0$

This applies to all functions in the table;

Hence, all functions have y intercept

Solving (c): Lowest minimum

The minimum of each function is:

$f(x) = -12$

$g(x) = -4$

$h(x) = -60$

The lowest minimum is: h(x) because:

$h(x)$

i.e.

$-60 < -12 < -4$

Solving (d): Greatest maximum

The maximum of each function is:

$f(x) = 12$

$g(x) = 2$

$h(x) = 0$

The greatest maximum is: f(x) because:

$f(x) > g(x) > h(x)$

i.e.

$12 > 2 > 0$

4 0

3 years ago

Read 2 more answers

Find the seventh term of the expansion of (4x-2y)^11

Sladkaya [172]

By the binomial theorem, which says

$(a+b)^n=\displaystyle\sum_{k=0}^n\binom nka^{n-k}b^k$

where $\dbinom nk=\dfrac{n!}{k!(n-k)!}$ , the seventh term of the expansion is given when $k=6$ . Take $n=11$ , $a=4x$ , and $b=-2y$ , and we get

$\dbinom{11}6(4x)^{11-6}(-2y)^6=462\cdot4^5x^5\cdot(-2)^6y^6=7569408x^5y^6$

Note: it's possible that you may know the binomial theorem in the reverse direction, which says

$(a+b)^n=\displaystyle\sum_{k=0}^n\dbinom nka^kb^{n-k}$

in which case the answer would be $-60555264 x^6 y^5$ .