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3 years ago

I give brainliest

1 answer:

4 0

Functions are accurate through having one x intercepts which is how you can find which are functions or not.
Answer- B,D,E

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(1 point) Consider the function f(x)=2x3−9x2−60x+1 on the interval [−4,9]. Find the average or mean slope of the function on thi

OlgaM077 [116]

Answer: c = 4.97 and c = -1.97

Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

$f'(c) = \frac{f(b)-f(a)}{b-a}$

So, for the function f(x) = $2x^{3}-9x^{2}-60x+1$ on interval [-4,9]

$f'(x) = 6x^{2}-18x-60$

f(-4) = $2.(-4)^{3}-9.(-4)^{2}-60.(-4)+1$

f(-4) = 113

f(9) = $2.(9)^{3}-9.(9)^{2}-60.(9)+1$

f(9) = 100

Calculating average:

$6c^{2}-18c-60 = \frac{100-113}{9-(-4)}$

$6c^{2}-18c-60 = -1$

$6c^{2}-18c-59 = 0$

Resolving through Bhaskara:

c = $\frac{18+\sqrt{1740} }{12}$

c = $\frac{18+41.71 }{12}$ = 4.97

c = $\frac{18-41.71 }{12}$ = -1.97

<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>

7 0

4 years ago

The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150

dolphi86 [110]

Answer:

$1.128048 \times 10^{25}$ grains of sand are in the Sahara Desert

Step-by-step explanation:

Given :

The Sahara Desert has an area of approximately 9,400,400 sq.km.

Depth = 150 m

To Find :Approximately how many grains of sand are in the Sahara Desert?

Solution:

Area of Sahara desert = 9,400,400 sq.km.

$1 km^2 = 1000000 m^2$

So, $9,400,400 km^2 = 1000000 \times 9400400 m^2$

$9,400,400 km^2 =9.4004 \times 10^{12}m^2$

Volume of sand = $Area \times depth$

= $1.41006\times 10^{15} m^3$

$1 m ^3 = 1000000 cm^3$

So, $1.41006\times 10^{15} m^3 = 1.41006\times 10^{15} \times 1000000cm^3$

$1.41006\times 10^{15} m^3 =1.41006 \times 10^{21}cm^3$

1 cubic cm holds grains of sand = 8000

$1.41006 \times 10^{21}cm^3$ holds grains of sand = $1.41006 \times 10^{21} \times 8000$

= $1.128048 \times 10^{25}$

Hence $1.128048 \times 10^{25}$ grains of sand are in the Sahara Desert

7 0

3 years ago

Round 38224 correct to 1 significant figure

sattari [20]

The answer is 40000!

6 0

3 years ago

Which is the graph of the function y = -4^x?

Lady_Fox [76]

Answer:

Step-by-step explanation:

8 0

3 years ago

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000

vesna_86 [32]

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368

mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?

We can figure this out using scientific notation.

$0.000000368 - 0.000000064$

$= 3.04e-7$

Put 3.04e-7 in standard notation.

$0.00000304$

Put 0.00000304 back into scientific notation, instead with a multiply sign.

Move the dot back, making the number in between 1-10.

In this case, we would move it back 7 times.

$3.04$ · $10x^{-7}$

So the answer would be A.

3 0

3 years ago