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3 years ago

Reduce to the lowest term: 30/40

Mathematics

1 answer:

natulia [17]3 years ago

6 0

Answer:

3/4

Step-by-step explanation:

Reduce both the numerator and the denominator by 10, their greatest common factor.

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Let f( x)=2x^2+7x and g(x)=-8x^2-3x+5. What is g(x)+f(x)?

Natalka [10]

Answer:

-6x^2+4x+5

Step-by-step explanation:

g(x)+f(x)=(-8x^2-3x+5)+(2x^2+7x)

=-8x^2-3x+5+2x^2+7x

=-8x^2+2x^2-3x+7x+5

=-6x^2+4x+5

3 0

3 years ago

(7.5)What is the value of x?

koban [17]

Answer:

D 5

Step-by-step explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5

6 0

3 years ago

Solve 2 log(x) + log(5) = log (80) using the one-to-one property.

vodomira [7]

x=4

Step-by-step explanation:

2log(x)+log(5)=log(80)

log(x^2)+log(5)=log(80)

log(5x^2)=log(80)

5x^2 =80

x^2 =80/5

x^2=16 , taking square root both sides

x=√16

5 0

3 years ago

A. What is the explicit definition for this sequence? b. How far does she run on day 19?

creativ13 [48]

Answer:

(a) $a_n=1+\frac{1}{6}(n-1)$

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

$a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}$

Here, $a_1=1,a_7=2$

So,

$a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}$

Therefore, the explicit definition of the above sequence is given as:

$a_n=1+\frac{1}{6}(n-1)$

Where, $a_n$ is the miles covered on $n^{th}$ day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

$a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi$

Therefore, the number of miles covered by her on day 19 is 4 miles.

3 0

3 years ago

4x-6 equals -2 algebraically

Angelina_Jolie [31]

Answer:

x=1

Step-by-step explanation:

4x-6= -2

+6=+6

4x=4

4 = 4

x= 1

3 0

3 years ago