All categories

3 years ago

-3 (5-b)= Use the distributive property to rewrite this expression

Mathematics

2 answers:

ollegr [7]3 years ago

7 0

= -3 (5-b)
= -3 (5 + (-b))
= (-3 x -b) + (-3 x 5)
= 3b + (-15)
= 3b -15

Brums [2.3K]3 years ago

5 0

-3 ( 5 - b ) =
-15 + 3b =
That is how you rewrite it, because it means the same thing.
-3 ( 5 - b ) =
-15 + 3b =
+15 +15
3b = 15
/3 /3
b = 5
incase you wanted to know how to solve to.
I hope this helped, HAVE A NICE DAY.
WELCOME :/

You might be interested in

Andy cut a tuna sandwich and a chicken sandwich into a total of 21 same size-pieces.He cut the tuna sandwich into 15 more pieces

sveta [45]

He would of ate 1/3 of the tuna sandwich!

6 0

3 years ago

Read 2 more answers

Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |

dsp73

Looks like $f(x,y)=x^2+y^2-x^2y+7$ .

$f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1$

$f_y=2y-x^2=0\implies2y=x^2$

If $x=0$ , then $y=0$ - critical point at (0, 0).
If $y=1$ , then $x=\pm\sqrt2$ - two critical points at $(-\sqrt2,1)$ and $(\sqrt2,1)$

The latter two critical points occur outside of $D$ since $|\pm\sqrt2|>1$ so we ignore those points.

The Hessian matrix for this function is

$H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}$

The value of its determinant at (0, 0) is $\det H(0,0)=4>0$ , which means a minimum occurs at the point, and we have $f(0,0)=7$ .

Now consider each boundary:

If $x=1$ , then

$f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4$

which has 3 extreme values over the interval $-1\le y\le1$ of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

If $x=-1$ , then

$f(-1,y)=8-y+y^2$

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

If $y=1$ , then

$f(x,1)=8$

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

If $y=-1$ , then

$f(x,-1)=2x^2+8$

which has 3 extreme values, but the previous cases already include them.

Hence $f(x,y)$ has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0

3 years ago

Help with my geometry question

Vaselesa [24]

For an inscribed angle like angle AHB, the measure will be half of the intercepted arc which we can see is 90 degrees.. therefore the measure of angle AHB is 45 degrees.

5 0

4 years ago

Write the first four terms in the following sequences. A(n+1)=12 A(n) for n≥1 and A(1)=4 .

ycow [4]

Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8

3 0

3 years ago

Manny makes the following purchases at the store:

Anna [14]

The <em>correct answer</em> is:

He paid the correct amount.

Explanation:

First we find the subtotal of Manny's items:

32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31

Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:

0.9(117.31) = 105.579

Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:

1.08(105.579) = 114.02532 ≈ 114.03

Since this is what he paid, he paid the correct amount.

8 0

3 years ago

Read 2 more answers