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3 years ago

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Combine like terms to simplify the expression: 9 + 3b − 1 + 7b − 2 = ______ 9 − 10b 6 + 10b 8 + 10b 16b 9 + 10b

1 answer:

Travka [436]3 years ago

6 0

Answer:6 +10b

Step-by-step explanation:

Like terms 9-1-2 =6 and 3b + 7b = 10b

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Identify the composite function and its domain

creativ13 [48]

$f(g(x))=f(\sqrt{x-2})$
$f(g(x))=3(\sqrt{x-2})^{2}+4$
$f(g(x))=3(x-2)+4$
$f(g(x))=3x-6+4$
$f(g(x))=3x-2$

Domain:
g(x) must be greater than or equal to zero (no square roots of negative numbers) therefore x must be greater than or equal to 2. Answer is B.

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3 years ago

Read 2 more answers

Find the smaller of 2 consecutive intergers, x, if the sum of the smaller and 6 times the larger is -29. Write an equation to de

Irina18 [472]

Answer:

x = -5 and x+1( consecutive integer) = -4

obviously x is smaller than the next integer

Step-by-step explanation:

Let the first integer be x

hence the consecutive integer is x +1

according to the give condition

x + 6(x + 1) = -29

x + 6x + 6 = -29

7x = -29 -6

7 x = -35

x = -35/7

x = -5

x + 1 = -5 + 1 = -4

GOOD LUCK FOR THE FUTURE! : )

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3 years ago

Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double

Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

$\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n$ (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

$k'=k+0.16 = 1.16k$ (2)

While the nephew's height is doubled:

$n'=2n$ (3)

We also know that Keith is now 34 cm taller than his nephew, so

$k'=n'+34$ (4)

Substituting (2) and (3) into (4), we get

$1.16k=2n+34$

And substituting (1),

$1.16\cdot \frac{15}{7}n=2n+34$

Solving for n,

$2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4$

So the current height of the nephew is:

$n'=2n=2(69.4)=138.8 cm$

While Keith's current height is

$k'=138.8+34=172.8 cm$

So their total current height is

$k'+n'=172.8+138.8=311.6 cm$

8 0

4 years ago

What is the volume of the composite figure?

Sladkaya [172]

Answer:

748 in^3.

Step-by-step explanation:

This consists of a triangular prism and a rectangular cuboid .

Volume of the prism = .1/2 * 8 *11 * 17 = 748 in^3

Volume of the cuboid = 5*8*17 = 680 in^3

Therefore the volume of the whole figure

= 680 + 748 = 1428 in^3.

6 0

3 years ago

Richard walks every day for exercise at a rate of 1 kilometer every 20 minutes. At this rate, how many meters can Richard walk i

Zanzabum

Answer:

3000 minutes

Step-by-step explanation:

20 x 3 = 60 minutes

60 minutes = 1 hour

1 x 3 = 3km

3km = 1 hour

3 x 1000 = 3000 meters

Ans: 3000 meters

6 0

3 years ago