MATHEMATICS HIGH SCHOOL

Tom, Vicki, and Ann are eating a cake. The amount they ate is listed below:Vicki ate 2/5 of the cake

Ann ate 2/8 of the cake

*Tom ate 1/4 of the cake

Which statement correctly compares the amounts of cake 2 friends ate?

A) Ann ate more cake than Vicki.

B) Tom ate the same amount of cake as Ann

C) Tom ate the same amount of cake as Vicki

Answers

Answer 1

Answer:

Answer:

The answer to your question is: B

Step-by-step explanation:

Data

Vicki 2/5

Ann 2/8

Tom 1/4

Which statement correctly compares the amounts of cake 2 friends ate?

A) Ann ate more cake than Vicki.

Ann ate 2/8 convert $(2)/(8) x (5)/(5)$ = $(10)/(40)$

Vicki ate 2/5 $(2)/(5) x (8)/(8) = (16)/(40)$ $(10)/(40) < (16)/(40)$

False

B) Tom ate the same amount of cake as Ann

Tom 1/4

Ann 2/8 simplify 2/8 = 1/4 Tom ate 1/4 = Ann ate 1/4

Correct answer

C) Tom ate the same amount of cake as Vicki

Tom 1/4 convert 1/4 = 5/20

Vicki 2/5 convert 2/5 = 8/20

5/20 < 8/20 False

Answer 2

Answer:

Answer:

the answer i b

Step-by-step explanation:

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The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). What is the polynomial?x4 – 2x2 + 5x – 6
x2 – x + 1
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
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Answers

Answer:

$x^2-x+1$

Step-by-step explanation:

We are given that

Dividend= $x^4-3x^2+4x-3$

Quotient= $x^2+x-3$

We have to find the divisor.

Let the polynomial = $p(x)$

$(x^4-3x^2+4x-3)/(p(x))=x^2+x-3$

$p(x)=(x^4-3x^2+4x-3)/(x^2+x-3)$

Hence, the polynomial $=p(x)=x^2-x+1$

Answer: $x^2-x+1$

The right answer for the question that is being asked and shown above is that: "x2 – x + 1."The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). The polynomial is this one: x2 – x + 1

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

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What are the solutions to the equation x-7/x=6? a. x=-7 and x=1
b. x=-6 and x=-1
c. x=-1 and x=7
d. x=1 and x=6

Answers

$x - (7)/(x) = 6$
$(x^(2))/(x) - (7)/(x) = 6$
$(x^(2) - 7)/(x) = 6$
$x^(2) - 7 = 6x$
$x^(2) - 6x - 7 = 0$
$x^(2) - 7x + x - 7 = 0$
$x(x) - x(7) + 1(x) - 1(7) = 0$
$x(x - 7) + 1(x - 7) = 0$
$(x + 1)(x - 7) = 0$
$x + 1 = 0$ $or$ $x - 7 = 0$
$x = -1$ $or$ $x = 7$

Answer:

Step-by-step explanation:

The equation is $x-(7)/(x)=6$

LCM of the denominator on the left side gives us:

$(x^(2)-7)/(x)=6$

Cross multiplying and arranging gives us:

$x^(2)-7=6x\nx^(2)-6x-7=0$

This is a binomial, to factor this, we have to think of 2 numbers that multiplied gives us $-7$ [the constant term] and added gives us $-6$ [the coefficient of x].

The two numbers are: $-7$ and $1$ .

Now we can write:

$x^(2)-6x-7=0\n(x-7)(x+1)=0$

Hence, either $(x-7)=0$ OR $(x+1)=0$ . This gives us two solutions, $x=7$ and $x=-1$ . Answer choice C is correct.

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Answers

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Jamal drew the function below. Which of the following explains whether or not his function is linear? 1) The function is linear because it has a constant rate of change 2) The function is not linear because it has an exponent 3) The function is not linear because it has a discontinuity 4) The function is linear because it has a y-intercept

Answers

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