All categories

3 years ago

Use synthetic division to solve (2x^3+4x^2-35x+15) divided by (x-3) What is the quotient?

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

7 0

Answer:

Step-by-step explanation:

The only thing you need to watch carefully is the divisor which in this case is x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.

x - 3 =0

x = 3

So the divisor is 3.

3 || 2 4 -35 15

6 30 -15

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

2 10 -5 0

So the quotient is

2x^2 + 10x - 5 with no remainder

s344n2d4d5 [400]3 years ago

7 0

Answer:D

Step-by-step explanation:

You might be interested in

Help me plzzzzzz........

Tanya [424]

Answer:

Step 1

Step-by-step explanation:

You should isolate the variable, not try to get rid of it. Also, you have to divide both sides by the same number or variable(can't divide one side by a and the other side by 7- it has to be the same).

4 0

3 years ago

Read 2 more answers

PLEASE ANSWER THE PHOTO, BELLOW ILL GIVE HIGH RANK TYSM :}}}}}PLEASE MAKE SURE THEY ARE CORRECT :DDD

Svetllana [295]

Answer:

a) 15:7

b) 1950 ml

c) There were 10 people in the group

Step-by-step explanation:

a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.

b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.

c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.

8 0

2 years ago

789/548x-89/887=688/8724 find x

Olin [163]

$\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}$

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

$\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}$

so:

$\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}$

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0

3 years ago

What is the volume of the rectangular pyramid shown belown?

Anna35 [415]

9514 1404 393

Answer:

168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

A = LW

A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

7 0

3 years ago

Find the intercepts and graph the equation x +5y =20

N76 [4]

Answer:

y-intercept: (0, 4)

x-intercept: (20, 0)

Step-by-step explanation:

y-intercept: The y-intercept of a graph is the point where the graph crosses the y -axis. That means, the point in which x = 0.

To find it, we can substitute x by 0 and find y.

x + 5y = 20

0 + 5y = 20

5y = 20

y = 20/5

y = 4

y-intercept: (0, 4)

x-intercept: The x-intercept of a graph is the point where the graph crosses the x-axis. That means the point in which y = 0.

To find it, we can substitute y by 0 and find x.

x + 5y = 20

x + 5*0 = 20

x = 20

x-intercept: (20, 0)

Finally, the graph of the equation is:

3 0

1 year ago