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3 years ago

Solve the system of equations: y = 2x - 5, y=x^2- 5

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer:

Step-by-step explanation:

both equation is y so

2x - 5 = x² - 5

2x = x²

0 = x² - 2x

0 = x(x-2)

x = 0

x = 2

for x = 0

y = 2x - 5

y = 0 - 5

y = -5

(0,-5)

for x = 2

y = 2x - 5

y = 2(2) - 5

y = -1

(2,-1)

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Sliva [168]

15. 22=4*5+2
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2 years ago

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

Answer:

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

Solution:

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

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4 years ago

The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey method is most likely to provide a bi

Luden [163]

Answer:

7) A school group is assigned to survey vast museum collections of all macroscopic (not microscopic) animal species collected from various regions around the world. What observation are the students most likely to make? A) The majority of the animals are wormlike. B) The majority of the animals possess a …

Step-by-step explanation:

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3 years ago

TO BE ANSERED ASAP If n = 4, then 9ˆ8 ÷ 9 n is equal to__________________.

natita [175]

Answer:

1,195,742.25 (final answer since instructions did not include rounding up or anything)

Step-by-step explanation:

n = 4

The given expression is:

9^8 ÷ 9n

USE PEMDAS order of operations and solve:

9^8 ÷ 9n

= 43046721 ÷ 9n

Substitue n with 4 and solve:

43046721 ÷ 9(4)

= 43046721 ÷ 36

= 1,195,742.25

8 0

3 years ago

Read 2 more answers

Which of the following is(are) the solution(s) to %+3)=12?

MAVERICK [17]

Answer:

if by % this sign you mean x then

x=9

Step-by-step explanation:

x+3=12

x=12-3

x=9

6 0

3 years ago