MATHEMATICS MIDDLE SCHOOL

10. 0.75,1/2, 0.4,and 1/5 from least to greatest

Answers

Answer 1

Answer:

Let's turn these into decimals.

so, 10.

0.75

0.50=1/2

0.40

0.20=1/5

In order from least to greatest, these would be:

0.2, 0.4, 0.5, 0.75, 10

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Answers

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The area of a triangle is 56.4 cm2 and the base is 12 cm. What is the height of the triangle

Answers

area of a triangle= base x height / 2
so reverse this to get the answer
56.4x2=112.8
112.8/12=9.4
the height of the triangle is 9.4cm

9 and a half plus three eighths

Answers

$9+ (1)/(2) + (3)/(8)= \n \n 9+ (4)/(8) + (3)/(8)= \n \n 9 (7)/(8) \n \n Good Luck !$

9 1/2 + 3/8 = 9 7/8

That is the answer :)

Five years from now a father's age will be three times his son's age and 5 years ago he was seven times as old as his son was. what are their present ages?

Answers

Let's say the son is x years old now,
In five years time, he will be (x+5) years old
The father's age in five years time is 3(x+5)
The son's age five years ago was x-5
The father's age five years ago was 7(x-5)
Five years ago and five years from now are 10 years apart. This means that the father's age five years from now is 10 years more than his age five years ago
7(x-5)+10=3(x+5)
7x-35+10=3x+15
7x-3x=15-10+35
4x=40
x=10
The boy is currently 10 years old
The father will be 3(x+5) in five years time=45
So the father is currently 40 years old

According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it has zeros.

Answers

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Answer:

2 roots

2 zeros

Step-by-step explanation:

Which expression has a value that is equivalent to 5n+13 when n= -5A.4n+8
b.2n+2
c.n2+13
D.n+8

Answers

Answer:

Option A is correct.

4n + 8 expression which has a value that is equivalent to 5n+13 when n = -5

Step-by-step explanation:

Given the expression: $5n + 13$

If n = -5

then, by substituting in given expression we get;

$5(-5)+13 = -25+13 = -12$

Option A:

4n + 8

Substitute the value of n = -5 we have;

$4(-5) + 8 = -20 + 8 = -12$

Option B:

2n + 2

then;

2(-5) + 2 = -10 + 2 = -8

Option C :

$n^2+13$

then;

$(-5)^2+13 = 25 + 13 = 38$

Option D:

n + 8

then;

-5 + 8 = 3

Therefore, only option A has expression which has a value that is equivalent to 5n+13 when n = -5

Answer:

4n + 8

Step-by-step explanation:

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