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3 years ago

What is the gradient of the graph shown? show your answer in it's simplest form

Mathematics

1 answer:

nlexa [21]3 years ago

4 0

Answer:

it was increasing

Step-by-step explanation:

hope it becomes helpful to you ☺️☺️

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H(x) = -x^3-2x^2-3x+4; x=2

ioda

Answer:

h(2)=-18

Step-by-step explanation:

$h(x)=-x^3-2x^2-3x+4\\Substituting\ x=2,\\h(2)=-(2)^3-2(2)^2-3(2)+4\\h(2)=-(8)-2*4-6+4\\h(2)=-8-8-6+4\\h(2)=-22+4\\h(2)=-18$

4 0

3 years ago

Please help me!!! 30 minutes left

Lesechka [4]

Option D:

$\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

To find which expression is equivalent to the given expression.

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $(ab)^m=a^mb^m$

$$=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $\frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}$

$$=\frac{125 a^3 b^{3}a^{6} b^{7}}{30 }$

$$=\frac{125 a^3 a^{6} b^{3} b^{7}}{30 }$

Using exponent rule: $a^{m} \cdot a^{n}=a^{m+n}$

$$=\frac{125 a^{3+6} b^{3+7} }{30 }$

$$=\frac{125 a^{9} b^{10} }{30 }$

Divide both numerator and denominator by the common factor 5.

$$=\frac{25 a^{9} b^{10} }{6 }$

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }$

Therefore, $\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Hence Option D is the correct answer.

4 0

3 years ago

Ravi has 214 meters of rope. He gives 93 centimeters of the rope to his brother. How much rope does he have left?

zmey [24]

Answer:

213.07 m

Step-by-step explanation:

We need to convert to the same units before subtracting.

The length of Ravi's rope is 214 meters.

If he gave 93 centimeters to his brother, then he didn't give up to a meter.

The reason is that, 100cm makes 1m.

Therefore 93cm makes 0.93m

We now set up the subtraction problem:

$214m - 93cm = 214m - 0.93m = 213.07m$

Therefore Ravi has 213.07m of rope left.

7 0

3 years ago

Find the total charges if it takes the computer

Tom [10]

Answer:

225

Step-by-step explanation:

the person chages 40 per hour with a one time service charge of 65. our equation is 40h+65 where h equal hours. the person spend 4 hour so the equation is (40x4)+65. 40x4 is 160. 160 + 65 is 225

5 0

3 years ago

You and your friend get the same magazine. You spend $15 for twelve issues. Your friend pays $1.50 per issue but gets the first

Allushta [10]

He will get 12 issues too. Since he spent 15 dollars in total you would divide that by 1.50 to see how many he actually purchased and it comes out to 10 meaning that he got 10 issues with the money. Now he got two free issues so you would add them to the ones he purchased, so 10 + 2 which would equal 12. So in total he got 12 issues. I hope that helps and wasn't confusing.

8 0

3 years ago