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quester [9]
3 years ago
12

What are the quotient and remainder of (3x^4+ 2x^2 - 6x + 1) /(x + 1)

Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

all work is shown and pictured

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The sum of two numbers is 80 . The ratio of those two numbers is 3:5 find the larger Number
Oksana_A [137]

Answer:

the larger number is 50

Step-by-step explanation:

Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:

"the sum of two numbers is 80" can be written as:

x+y=80

Now the second phrase:

"The ratio of those two numbers is 3/5"

Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio \frac{3}{5}, and solve for x:

\frac{x}{y} = \frac{3}{5} \\x= \frac{3}{5}y

Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:

x+y=80\\\frac{3}{5} y+y=80\\\frac{3}{5} y+\frac{5}{5} y=80\\\frac{8}{5}y=80 \\8y=80*5\\8y=400\\y=\frac{400}{8} \\y=50

Therefore the larger number (y) equals 50.

7 0
3 years ago
Describe fully the single transformation that maps triangle A onto triangle B.<br>(Look on picture)​
Nana76 [90]

Answer:

Rotate triangle A  by 180° and then translate triangle A 5 units to the right. After this, Dilate it by a scale factor of "2"

7 0
3 years ago
Ill give brainliest, thank u so much
ruslelena [56]
The answer to this question is 540 square feet.
6 0
3 years ago
Read 2 more answers
3. Given: ABCE is a rectangle. D is the midpoint of E.
Georgia [21]

Answer with Step-by-step explanation:

We are given that

ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each  is equal to  90 degrees.

D is the midpoint of E.

We have to prove that AD\cong BD

Statement:1 ABCE is a rectangle.D is the mid point of CE

Reason: Given

Statement 2:\angle AED\cong \angle BCD

Reason:By definition of rectangle

Statement:3 AE=BC

Reason: By definition of rectangle

Statement 4:ED=DC

Reason: By definition of midpoint because D is the midpoint of side EC

Statement 5:\triangle AED\cong \triangle BCD

Reason:SAS postulate

Statement: 6 AD\cong BD

Reason:CPCT

Hence proved.

7 0
3 years ago
Which value of x from the set {4, 5, 6, 7}, makes this equation true?
Phoenix [80]

4(8 - x) = 8

32 - 4x = 8

- 32

-4x = -24

/4

x = 6

4 (8 - 6) = 8

8 - 6 = 2

4 * 2 = 8

8 = 8

5 0
3 years ago
Read 2 more answers
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