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3 years ago

PLS HELP WITH THIS GEOMETRY

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer:

(7, 5) no

(-6, -3) yes

(-5, 2) no

(1, -4) no

Step-by-step explanation:

For this question we have to input the x and y values into the equation: 2x - 9y = 15

For (7, 5) we would get 14 - 45 = 15 which is false so it is not a solution.

For (-6, -3) we would get -12 + 27 = 15 which is true so it is a solution.

For (-5, 2) we would get -10 - 18 = 15 which is false so it is not a solution.

For (1, -4) we would get 2 + 36 = 15 which is false so it is not a solution.

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For funcitons f(x)=2x+3 and g(x)=-3x-2, please find (f∘g)(-1)

ratelena [41]

Answer:

$\displaystyle (f\circ g)(-1) = 5$

Step-by-step explanation:

We are given the two functions:
$\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2$

And we want to find:
$\displaystyle (f\circ g)(-1)$

Recall that this is equivalent to:
$\displaystyle (f\circ g)(-1) = f(g(-1))$

Hence, find g(-1):
$\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}$

Substitute:
$\displaystyle f(g(-1)) = f(1)$

Find f(1):

$\displaystyle \begin{aligned} f(x) & = 2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}$

In conclusion:
$\displaystyle (f\circ g)(-1) = 5$

5 0

3 years ago

PLEASE ANSWER ASAP!!!!!!

Romashka [77]

The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.

<h3>What is a formula for Fahrenheit?</h3>

The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;

°F = (9/5 × °C) + 32.

Given function:

f(x)= -6 sin(7/3 x+ 1/6) -5

The function will be maximum at the 7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -6 sin (3π/2) -5

= 6 -5

= 1 F

The function will be minimum at the 7/3 x +1/6= π/2

Therefore, the maximum temperature will be

= -6 sin (π/2) - 5

= -6 -5

= -11 F

Learn more about this concept here:

brainly.com/question/26172293

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2 years ago

Estimate the value of the irrational number (0.6289731...)2. Up to how many decimal digits is the estimation correct? 4 5 6 7

Salsk061 [2.6K]

Answer:

7 decimal digits

Step-by-step explanation:

Because it ws rounded up to 0.6289731

and the known digits after the decimal are 7 in numbers.

0.6290 ......4 decimal digits

0.62897..... 5 decimal digits

0.628973.... 6 decimal digits

0.628973 ..... 7 decimal digits

8 0

3 years ago

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zhuklara [117]

Answer:

$30

Step-by-step explanation:

Let,

x - fiction book

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4(x) + 2(x + $6) = $84

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SUBSTITUTE:

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Answer:24/34

Step-by-step explanation:

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4 years ago

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