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3 years ago

Which rule will find the nth term of the arithmetic sequence -58,-65,-72,-86

Mathematics

1 answer:

nalin [4]3 years ago

7 0

Answer: The ninth term is -156 you can use subtraction.

Step-by-step explanation: First see how much difference is between the numbers if you subtract 14 from -72 you get -86. So, i kept subtracting 14 until I got to the ninth term

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12' Given that tan x = sin x + cos x? î, what is the value of (WAEC]

Andre45 [30]

Answer:

$\tan(x) = \sin(x) + \cos(x)$

Sorry but your question is not too explanatory but I sure hope this helps

3 0

3 years ago

Write an equation in standard form that is perpendicular to x-4y=-6 and goes through (3, -6)

elena-s [515]

Answer:

3-6

Step-by-step explanation:

because the distributive property

6 0

4 years ago

To make concrete it takes 8 parts crushed gravel, 7 parts water and 5 parts cement mix. A worker needs to make 220kg of concrete

Alika [10]

A) 8 + 7 + 5 = 20 parts
b) 220 kg ÷ 20 = 11
c) 8 parts crushed gravel: 8 x 11 = 88 kg
7 parts water: 7 x 11 = 77 kg
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8 0

3 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

Tetsuo's savings account has a balance of $1192. After 22 years, what will the amount of interest be at 1.5% compounded annually

Bess [88]

I think C is the answer

5 0

3 years ago

Read 2 more answers