There are two parts to the following question. First, answer part A. Then, answer part B. Brianna and Gavin used partial quotients to show 552 = 23. See their work below Brianna's work Step 1: Subtract (20 x 23) from 552 to get 92. Gavin's work Step 1: Subtract (10 x 23) from 552 to get 322. Step 2: Subtract (4 x 23) from 92 to get Step 2. Subtract (10 x 23) from 322 to 0. get 92 Step 3: Subtract (2 x 23) from 92 to Step 3: Add partial quotients get 46 Step 4: Subtract (2 x 23) from 46 to get 0 Step 5. Add the partial quotients.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

5 feet of chain cost $9

so the answer is 1.80