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3 years ago

What is the value of x?

Mathematics

1 answer:

myrzilka [38]3 years ago

5 0

Answer:

Step-by-step explanation:

∠VRW and ∠TRS form a pair of vertical angles then they are congruent

therefore

3x = x + 40

⇔

2x = 40

⇔

x = 20

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mrs_skeptik [129]

Answer:

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3 years ago

11y - |x|; if x = -10 and y = 2

bonufazy [111]

Answer:

- 8

Step-by-step explanation:

x = - 10

y = 2

I x I

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y - I x I

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7 0

3 years ago

Read 2 more answers

The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0

4 years ago

Calculate the average rate of change over the interval 2

Morgarella [4.7K]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5: 3

y = 3x^2 + 1: 21

y = 3^x: 78

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = 3

y = 3x^2 + 1

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = 21

y = 3^x

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 = 78

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3 years ago

What is the value of w?

natulia [17]

This on is very easy go to my website so i can explain it better for you

https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w

Hope this

3 0

4 years ago

What is the value of x?​

What is the value of x?