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4 years ago

Claire sat a Spanish test and a French test.

Mathematics

1 answer:

posledela4 years ago

6 0

Answer:

french

Step-by-step explanation:

convert both to percentage:

1. spanish:

$\frac{27}{32} \times 100 = 84.375$

2.French:

$\frac{19}{21} \times 100 = 90.476$

therefore Claire did better in the French test

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NEED HELP

Zina [86]

Answer:

$\displaystyle \frac{1}{2}(x^3-2x^2-5x+6)$

Step-by-step explanation:

Polynomials

The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are

x=-2, x=1, x=3

The factored form of a polynomial whose roots $x_1, x_2, x_3$ are known is

$a(x-x_1)(x-x_2)(x-x_3)$

We know the value of the roots, thus the polynomial is written as

$a(x+2)(x-1)(x-3)$

We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus

$a(0+2)(0-1)(0-3)=3$

$a(2)(-1)(-3)=3$

$a(6)=3$

$\displaystyle a=\frac{3}{6}$

$\displaystyle a=\frac{1}{2}$

Thus the factored form of the polynomial is

$\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)$

Let's multiply all the factors

$\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)$

$\displaystyle \frac{1}{2}(x^2+2x-x-2)(x-3)$

$\displaystyle \frac{1}{2}(x^2+x-2)(x-3)$

$\displaystyle \frac{1}{2}(x^3-3x^2+x^2-3x-2x+6)$

$\boxed{ \displaystyle \frac{1}{2}(x^3-2x^2-5x+6)}$

7 0

4 years ago

Find the product for these questions 1.( 2x ) ( 10x ) 2. -3m( m + 8 ) 3. 4d( 2d -9 ) 4. ( 3x + 4 ) ( x -2 ) 5. ( 2y -1 ) ( 4y

Salsk061 [2.6K]

1.( 2x ) ( 10x ) = 20 x²

2. -3m( m + 8 ) = -3m² - 24m

3. 4d( 2d -9 ) = 8d² - 36d

4. ( 3x + 4 ) ( x -2 ) = 3x² - 6x + 4x - 8 = 3x² - 2x -8

5. ( 2y -1 ) ( 4y - 3 ) = 8y² - 6y - 4y + 3 = 8y² -10y +3

5 0

3 years ago

Read 2 more answers

A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s

Shalnov [3]

Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.

2x must be then 4.5*2 = 9 foot
This is the length below the left hand.

Checking
4.5 + 9 + 1.5 = 15 foot

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.

6 0

3 years ago

3(n + 7) = __ + 21 Answer?

SOVA2 [1]

Answer:

3n + 21

Step-by-step explanation:

3(n + 7)

~Distribute

3n + 21

Best of Luck!

7 0

3 years ago

Omg why is math a pain in the rear-end

Paladinen [302]

Rightttt! I hate it but I have no idea haha

7 0

3 years ago