All categories

3 years ago

Where is the function increasing

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

Answer:

last one

Step-by-step explanation:

i did this

You might be interested in

ok so I need help on this question. How would you evaluate this expression, -8x + 5 -2x - 4 + 5x when x=2. How would you write t

nirvana33 [79]

Answer:

Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants.

Step-by-step explanation:

3 0

4 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

The length of each side of an equilateral triangle is 74mm, correct to the nearest millimeter. Calculate the smallest possible p

Olin [163]

Answer:

221 mm

Step-by-step explanation:

The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...

3 × 73.5 = 220.5 ≈ 221 . . . millimeters

_____

The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.

8 0

3 years ago

A map has a scale of 2 in. = 16 mi. If you measured the distance between two cities to be 19 in. on the map, how many miles woul

VashaNatasha [74]

Answer:

Step-by-step explanation:

2 in/16mi = 19 in/x mi

152 mi

7 0

3 years ago

Read 2 more answers

The perimeter of a field is 120 yards. what is the length and width?

ElenaW [278]

120/4=30. Remember its widthxlength. if you forget ask your teacher or look online for more help. Good luck.

7 0

4 years ago