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3 years ago

5

If you broke apart 56 in half, What plus what would you get?

1 answer:

frosja888 [35]3 years ago

6 0

56 ÷ 2 = 28

28 + 28 = 56

<em>Have a luvely day!</em>

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Please answer this correctly

prohojiy [21]

Answer:

Hi there!

The answer to the answer to this question is: 1,399.286

Step-by-step explanation:

There is two methods you can solve this question, either with long division or short division in this case I chose short division and got 1,399.286

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4 years ago

when the polynomial f(x) is divided by (x-2) the remainder is 4, and when it is divided by (x-3) the remainder is 7. Given that

natima [27]

$f(x)=(x-2)(x-3)Q(x)+ax+b$

Recall the polynomial remainder theorem: the remainder upon dividing a polynomial $p(x)$ by $x-c$ is equal to $p(c)$ . This means that $f(2)=4$ and $f(3)=7$ , which tell us

$4=2a+b$

$7=3a+b$

From here we can solve for $a,b$ :

$4=2a+b\implies b=4-2a$

$7=3a+b=3a+(4-2a)\implies a=3\implies b=-2$

so that

$f(x)=(x-2)(x-3)Q(x)+3x-2$

Now,

$\dfrac{f(x)}{(x-2)(x-3)}=Q(x)+\dfrac{3x-2}{(x-2)(x-3)}$

so the remainder upon dividing $f(x)$ by $(x-2)(x-3)$ is $3x-2$ .

Next, if $f$ is a cubic function, then $Q(x)$ is a linear polynomial that can be written as $Q(x)=cx-d$ . The coefficient of $x^3$ in $f(x)$ is 1 (unity), so that expanding $f(x)$ gives us

$f(x)=(x-2)(x-3)(cx-d)+3x-2$

$f(x)=(cx^3-(5c+d)x^2+(6c+5d)x-6d)+3x-2$

$f(x)=cx^3-(5c+d)x^2+(6c+5d+3)x-(6d+2)$

$\implies c=1$

and we also have that $f(1)=1$ , so that

$1=1-(5+d)+(6+5d+3)-(6d+2)$

$\implies2d=2\implies d=1$

so that

$Q(x)=x-1$

4 0

3 years ago

A salesperson earns a 2% commission rate on sales of camera equipment. Yesterday she earned $60 in commission. What were her s

PolarNik [594]

Answer:
Her sales were $3,000 worth

Explanation:

8 0

3 years ago

3x²+√x-5<br> How do I start it off?

Rus_ich [418]

Step-by-step explanation:

you can start off with the 3x and it's exponent and go on from there

3 0

3 years ago

A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8,

klio [65]

Answer:

Slope = $-\frac{3}{4}$

y-intercept = 2

Equation of the line 't': $y=-\frac{3}{4}x+2$

Step-by-step explanation:

Slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is represented by,

Slope 'm' = $\frac{y_2-y_1}{x_2-x_1}$

Since line 't' is passing through two points (0, 2) and (8, -4),

Slope of the line 't' = $\frac{2+4}{0-8}$

m = $-\frac{6}{8}$

m = $-\frac{3}{4}$

Since y-intercept of a line is the value of 'y' for x = 0 [from point (0, 2) lying on this line]

Therefore, Y-intercept of line 't' = 2

Slope intercept of an equation is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line 't' will be,

$y=-\frac{3}{4}x+2$

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3 years ago