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3 years ago

What is the average rate of change of the function f(x)=2x+4 over the interval -4 ≤ x ≤ 1? Table

Mathematics

1 answer:

Tom [10]3 years ago

7 0

Answer:

Step-by-step explanation:

the rate of change is measured as

$\frac{f(b) - f(a)}{b-a}$ in the closed interval [ a, b ]

here [a, b ] = [- 4, 1 ]

f(b) = f(1) = 2 + 4 = 6

f(a) = f(- 4) = - 8 + 4 = - 4

average rate of change = $\frac{6-(-4)}{1-(-4)}$ = $\frac{10}{5}$ = 2

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A tent guy line supports one of the upright tent poles. It runs from the top of the pole to a peg in the ground two and a half m

Inessa [10]

Answer:

258 cm

Step-by-step explanation:

Given:

Distance from the base of the pole to the base of a tent guy line is $2\frac{1}{2}$

Length of a tent guy line is 359 cm

To find: Height of the upright tent pole

Solution:

Let AB denotes the pole and AC denotes a tent guy line.

According to Pythagoras theorem, in a right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.

$AC^2=AB^2+BC^2$

$AC=359 cm\\AB=x\\BC=2\frac{1}{2}\,m=\frac{5}{2}\,m=\frac{5}{2}\times 100=250\,cm$

Therefore,

$(359)^2=x^2+(250)^2\\128881=x^2+62500\\128881-62500=x^2\\66381=x^2\\x=257.6\,cm\approx 258\,cm$

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8 0

3 years ago

Please hurry! I'm so confused

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

The general equation is

y = 2.49x + 24.99

The number of cones bought is x

The cake cost is 24.99

The total cost is y

===========

So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.

Check

y = 2.49*5 + 24.99

y = 12.45 + 24.99

y = 37.44

So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44

5 0

3 years ago

Shari's class is making team pennants for an upcoming field day. They cut the pennants out of a large sheet of paper in the patt

lukranit [14]

Answer:

10! =)

Step-by-step explanation:

7 0

2 years ago

Select all that apply.

julia-pushkina [17]

Answer:

10/15 8/12 14/21

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help i have 2 questions thank you very much.

Rudik [331]

Hello!

Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards

15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333

Multiply these to find the volume

5 * 5 * 0.08333 = 2.08325

Multiply this by the cost

2.08325 * 46 = 95.83

The answer is C) $95.83
------------------------------------------------------------------------------------------------------
Question 2

You have to find the volume of the first pyramid

The equation we use is $V = \frac{lwh}{3}$

V is volume
l is length
w is width
h is height

Put in the values we know

$V = \frac{16 * 16 * 28}{3}$

Multiply

$V = \frac{7168}{3}$

Divide

V = 2389.3333

Now we use this to find the side length of the second pyramid

$2389.333 = \frac{lw * 112}{3}$

Multiply both sides by 3

<span>7167.999 = lw * 112
</span>
Divide both sides by 112

63.9999 = lw

Since it is a square pyramid we know that sides are equal

63.999 = l^2

Take the square root of both sides

8 = l

The answer is B) 8in

Hope this helps!

8 0

3 years ago