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steposvetlana [31]

3 years ago

9

The function h is defined by h(x)=2(x-7) what is the value of h(8)

2 answers:

bija089 [108]3 years ago

5 0

h(x)=2x-14

h(8)=2(8)-14

16-14=2

the value of h(8) is 2

fgiga [73]3 years ago

5 0

Answer:

$h(8) = 2$

Step-by-step explanation:

We have h, that is a function of x. This means that the value of h is dependent of the value of x. h(8), for example, is the value of h when x = 8. So:

$h(x) = 2(x - 7)$

$h(8) = 2(8 - 7)$

What is inside of the parenthesis takes precedence, so we have $h(8) = 2(1) = 2$

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How do you solve it?

MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

<em>"first"</em> would be $x*x$ , which would equal $x^{2}$

<em>"outside"</em> would be $x*-1$ , which would equal $-1x, or -x$

<em>"inside"</em> would be $2*x$ , which would equal $2x$

<em>"last" </em>would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

$x+2=0\\x=-2$

<em>Add one to both sides.</em>

$x-1=0\\x=1$

ii Solution

<em>Add all the terms.</em>

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

8 0

3 years ago

Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter

hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π. We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29. And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0

3 years ago

No is divisible by 7 if n is divided by 2 3 4 5 the remainder is 1 what is the smallest value that n could b

kvv77 [185]

Answer: $301$

Step-by-step explanation:

Since, The LCM of numbers given numbers $2$ , $3$ , $4$ and $5$ is $60$ .

Thus, the number that gives 1 as reminder and is the multiple of 7 is $60 n + 1$

Where n is any positive integer,

Since, For $n = 5$ ,

The number is, $60\times 5 + 1 = 300 + 1 = 301$

Which is divisible by $7$ .

Thus, the required number is 301.

Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241

But they are not the multiple of 7.

7 0

3 years ago

Read 2 more answers

Paul [167]

Answer:

1\2

Step-by-step explanation:

draw a circle split it where there are 6 slices color half red and white now color one of the slices green and the rest blue there are 2 slices out of 6 colored blue. Hope it helped! make sure to reduce

6 0

3 years ago

Solve the equation. Show work for partial credit.

Natali5045456 [20]

Answer:

x = $\frac{8}{5}$

Step-by-step explanation:

Given

$\frac{5}{x}$ + $\frac{3}{x}$ = 5 ← combine terms on left side

$\frac{8}{x}$ = 5 ( multiply both sides by x )

8 = 5x ( divide both sides by 5 )

$\frac{8}{5}$ = x

8 0

3 years ago