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3 years ago

15

Amelia can type 60 words per minute. At this rate, how many minutes will it take her

2 answers:

Vitek1552 [10]3 years ago

8 0

12 minutes.

60*12=720 words

Hope this helped.

Elanso [62]3 years ago

8 0

12 minutes

Working out: 720/60 = 12

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Given three points of a quadratic function, find the equation that defines the function: (-2, 20)(0, -2)(1, -4)

Stels [109]

Answer:

$y=3x^2-5x-2$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

The given points must satisfy this function;

Substitute $(-2,20)$ .

$20=4a-2b+c..(1)$

Substitute (0,-2)

$c=-2...(2)$

Substitute (1,-4);

$-4=a+b+c...(3)$

Put equation (2) into equation (1)

$20=4a-2b+-2$

$4a-2b=22$

$2a-b=11...(4)$

Put equation (2) into equation (3)

$-4=a+b-2...(3)$

$a+b=-2...(5)$

Add equation (4) and (5)

$3a=9$

Divide both sides by 3

$a=3$

Put a=3 in equation 5.

$3+b=-2$

$b=-2-3$

$b=-5$

The quadratic function is;

$y=3x^2-5x-2$

6 0

3 years ago

The function f(x) = xis translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

anyanavicka [17]

Answer:

$g(x)=x+4$

Step-by-step explanation:

Given

$f(x)=x$

$g(x)\rightarrow f(x)$ shifted 7 units left and 3 units down

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

$f(x)\rightarrow f(x+7)$ [7 units left]

$f(x+7)\rightarrow f(x+7)-3$ [3 units down]

∴ $g(x)=f(x+7)-3=(x+7)-3=x+7-3=x+4$

$g(x)=x+4$

4 0

4 years ago

młodzież wyjechała autokarem na obóz o godzinie 7.00.Dojechali na miejsce o godzinie 12.00. autokar jechał ze średnia 55km/h. ja

Viefleur [7K]

12-7=5 hours

55*5 =275 km/hour

4 0

4 years ago

Solve the following system of equations algebraically. <br><br> y=2x-12<br> y=x+22+3

kirill [66]

Answer:

x=37

Step-by-step explanation:

because

y=y

or as, 2x-12=x+22+3

or as, 2x-x=12+22+3

or as, x = 37

4 0

3 years ago

Use special right triangles to solve for the exact value of x.

DanielleElmas [232]

Answer:

x = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = $\frac{1}{2}$

cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{x}$

Multiply both sides by x

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x × $\frac{1}{2}$ = 8

Multiply both sides by 2

x = 16

8 0

3 years ago

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