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anzhelika [568]

3 years ago

5

What is 21(2-x)+12x=44

1 answer:

Sedaia [141]3 years ago

4 0

21(2-x)+12x=44 21x2=42 21x-x=21x
42-21x+12x=44 -21x + 12x= -9x
42-9x=44
-42 -42
9x=2 9x/9=x 2/9=4.5
x=4.5

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For what value(s) of k will the relation not be a function

skelet666 [1.2K]

We are given two relations

(a)

Relation (R)

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We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

$k-8.3+2.4k=-\frac{3}{4} k$

$3.4k-8.3=-\frac{3}{4}k$

$3.4k\cdot \:10-8.3\cdot \:10=-\frac{3}{4}k\cdot \:10$

$4k-83=-\frac{15}{2}k$

$34k=-\frac{15}{2}k+83$

$\frac{83}{2}k=83$

$83k=166$

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(b)

S = {(2−|k+1| , 4), (−6, 7)}

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

$2-|k+1|=-6$

$2-\left|k+1\right|-2=-6-2$

$-\left|k+1\right|=-8$

$\left|k+1\right|=8$

Since, this is absolute function

so, we can break it into two parts

$|f\left(k\right)|=a\quad \Rightarrow \:f\left(k\right)=-a\quad \mathrm{or}\quad \:f\left(k\right)=a$

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we get

$k+1=-8\quad$

$k=-9$

$k+1=8\quad$

$k=7$

so,

$k=-9\quad \mathrm{or}\quad \:k=7$ ...............Answer

5 0

3 years ago

Is greater than or equal to, minus, 5.

My name is Ann [436]

Answer:

x≥-5

Step-by-step explanation:

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2 years ago

Y is inversely proportional to x and y = 24 when x = 2.

bija089 [108]

Answer:

k = 48

For x = 6, y = 8.

Step-by-step explanation:

The general equation for inverse variation is

y = k/x

We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.

24 = k/2

k = 24 * 2 = 48

Now that we know k = 48, the equation for our case is

y = 48/x

Now we plug in x = 6 and find y.

y = 48/x

y = 48/6

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3 years ago

What is f(x) = 7x2 + 42x written in vertex form?

amid [387]

Answer:

$\boxed{\boxed{y = 7(x+3)^2-63}}$

Step-by-step explanation:

The general vertex form of parabola is,

$y=a(x-h)+k$

where,

(h, k) is the vertex of the parabola.

The given function is,

$\Rightarrow f(x) = 7x^2 + 42x$

$\Rightarrow y = 7x^2 + 42x$

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