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3 years ago

F(x)=x^2+7x-30 Find the intercepts, domain and range

Mathematics

1 answer:

Zigmanuir [339]3 years ago

5 0

Answer:

domain (-inf, +inf)

range [-30, +inf)

y-int = -30

x-int = -10, 3

Step-by-step explanation:

You might be interested in

A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many

vodomira [7]

Answer:

The number of students who prefer chocolate milk is 780 .

Step-by-step explanation:

Given as :

The total number of students in the school = 1200

The percentage of students who prefer plain white milk = 35 %

Let the number of students who prefer chocolate milk = x

Now, ∵ The percentage of students who prefer plain white milk = 35 %

∴ The percentage of students who prefer chocolate milk = 100 % - 35 % = 65%

So , As The number of students who prefer chocolate milk = x

Or, 65 % of total number of students in school = x

So, x = $\frac{65}{100}$ × 1200

or, x = $\frac{65\times 1200 }{100}$

∴ x = 780

So, the number of students who prefer chocolate milk = x = 780

And students who prefer plain white milk = 1200 - x = 1200 - 780 = 420

Hence, The number of students who prefer chocolate milk is 780 . Answer

4 0

3 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

$(b)\ F_{y\ axis} = (-x,y)$

$(c)\ F_{x\ axis} = (x,-y)$

$(d)\ R_{o,90^o} = (-y,x)$

$(e)\ R_{o,180^o} = (-x,-y)$

$(f)\ R_{o,270^o} = (y,-x)$

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

$T_{a,b} =(x +a,y+b)$

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

$F_{y\ axis} = (-x,y)$

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

$F_{x\ axis} = (x,-y)$

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

$R_{o,270^o} = (y,-x)$

6 0

3 years ago

0.3(n-5)=0.4-0.2 solve for n!

mariarad [96]

Answer:

$n = 5.67$

Step-by-step explanation:

0.3(n-5)=0.4-0.2

0.3(n-5) = 0.2

Dividing 0.3 both side

$\frac{0.3(n-5) }{0.3} = \frac{0.2}{0.3}$

$n-5 = 0.67$

$n = 0.67+5$

$n = 5.67$

4 0

3 years ago

You saved $35 to buy two books. The first book cost an unknown amount and the second book cost $24. If you don't have any money

vovangra [49]

Answer:

$11 Dollar

Step-by-step explanation:

35 - 24 = 11

5 0

2 years ago

The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface

Ksenya-84 [330]

We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²

7 0

2 years ago