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1 year ago

Please see attached photo for question

Mathematics

1 answer:

ra1l [238]1 year ago

5 0

For the function g(x), the graph is shown and the domain of that function is set of all integer numbers.

Domain of a function is all possible input values for that function.

Here, the domain of g(x) is set of all integers numbers

The x intercept of g(x)

The x intercept is when the value of y is zero, analysing the graph the x intercept can be interpreted as -5 and 1

The y intercept is when the value of x is zero, analysing the graph the y intercept can be interpreted as 1

From the graph,

g(4) is 1

Therefore, For the function g(x), the graph is shown and the domain of that function is set of all integer numbers.

To learn more about function refer here

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I nee help. Can anyone help please.

kati45 [8]

∠1+∠7=180°

7x+8+10x+2=180

17x+10=180

17x=170

x = 10

4 0

2 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

matrenka [14]

Answer:

509.35 feet

Step-by-step explanation:

16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.

16°23' = 16 + (23/60) = 16.383°

Similarly:

49°29' = 49 + (29/60) = 49.483°

When the boat is first noticed:

tan(16.383°) = 200 / a

a = 200 / tan(16.383°)

a = 680.27

When the boat stops:

tan(49.483°) = 200 / b

b = 200 / tan(49.483°)

b = 170.92

So the difference is:

a − b = 680.27 − 170.92 = 509.35

The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.

3 0

3 years ago

Can someone do this for me I was busy helping around for my mom and myself please it's due today!!!!!!

Fed [463]

Answer:

first discount for Q7 is $54.3915

the next discount is $48.95235

for Q8 is

Step-by-step explanation:

you are a very nice person for helping your mom. good luck for this!

ok let's work on question 7 first.

$63.99 is the cost of a skateboard.

15% of 63.99 = 10% + 5%

10% of 63.99 = 6.399 (move the decimal one place to the left)

5% of 63.99 = 1/2 of 6.399

1/2 x 6.399 = 3.1995

6.399 + 3.1995 = 9.5985

ok, so that's 15% of 63.99

now we need to take away 9.5985 from 63.99

63.99 - 9.5985 = 54.3915

the discount price of the skateboard is $54.3915

a further 10% is $5.43915

so take off that from the discount,

54.3915 - 5.43915 = 48.95235

the final price is $48.95235

QUESTION 8

shop A = 6.95 x 40

6.95 x 40 = $278

shop B = 20% of 325

20/100 * 325 = 65

325 - 65 = 260

therefore, shop B is cheaper.

hope this helped, good luck!

4 0

3 years ago

Find the vertex form of the following quadratic function. f(x)= x^2-11x+9

Shalnov [3]

f(x) = (x - $\frac{11}{2}$ )² - $\frac{85}{4}$

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

f(x) = x² - 11x + 9 is in standard form

with a = 1, b = - 11 and c = 9

$x_{vertex}$ = - $\frac{-11}{2}$ = $\frac{11}{2}$

substitute this value into the equation for y- coordinate

y = ( $\frac{11}{2}$ )² - 11( $\frac{11}{2}$ ) + 9

= $\frac{121}{4}$ - $\frac{242}{4}$ + $\frac{36}{4}$ = - $\frac{85}{4}$

f(x) = (x - $\frac{11}{2}$ )² - $\frac{85}{4}$ ← in vertex form

3 0

3 years ago

7,4,2,98,3,x <br> what number is x if the range equals 8

svetlana [45]

Answer: x=90

Step-by-step explanation:

because the range is 8, and the highest value in the data set is 98, x must equal 96

5 0

3 years ago