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3 years ago

Please help fast. - a pair of equations are shown below: y = 7x - 8 y = 5x - 2

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

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Which of the following would be a good name for the function that takes the length of a race and returns the time needed to comp

ser-zykov [4K]

Answer:

B. Time(length)

Step-by-step explanation:

The function that would be represented as a good name for a function for the length of the race and the return the time required to finished it

here the independent variable or the INPUT is the length while the output would be the time that required to finish it

Hence, the correct option is B,

Therefore all the other options would be incorrect

3 0

3 years ago

Stephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonu

EastWind [94]

Answer:

42 tickets

Step-by-step explanation:

First winning = 90 tickets

Bonus won = 5 times the number of tickets of the original second prize

Total tickets won = 300

That is ;

First winning + bonus = 300 tickets

Let :

Number Tickets won by original second price = x

Bonus = 5x

Then;

90 + 5x = 300

5x = 300 - 90

5x = 210

x = 210 / 5

x = 42

8 0

3 years ago

Find the value of x. Round the length to the nearest tenth.

Mamont248 [21]

From right triangle trigonometry, we have the following:

$\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ ,

where the "opposite side" means the opposite side to angle with measure $35^o$ , and "adjacent side" means the adjacent side to angle with measure $35^o$ .

$tan(35^o)$ is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

This gives $tan(35^o)=0.7$

Thus, back in the equation $\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ we substitute as follows and solve:

$\displaystyle{0.7= \frac{x }{12 }\\\\$

$x=0.7\cdot12=8.4$

Answer: 8.4 cm

5 0

3 years ago

Read 2 more answers

Does anyone know this answer??

Aleonysh [2.5K]

For this case we have the following equation:

$(2x + 3) ^ 2 + 8 (2x + 3) + 11 = 0$