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4 years ago

Consider the sequence...

Mathematics

1 answer:

KatRina [158]4 years ago

8 0

Answer:

x^2 +4

Step-by-step explanation:

It is perhaps easiest to simply try the answers to see what works. x=1 corresponds to the first term, so the different answer choices will give that value as ...

3x² +4 = 3 +4 = 7

x² +4x = 1 + 4 = 5 . . . . possible solution

x² +4 = 1 +4 = 5 . . . . possible solution

x² +5 = 1 +5 = 6

Then for x=2, we want the result to be 8. The two choices we've identified so far give ...

x² +4x = 2² +4·2 = 12

x² +4 = 2² +4 = 8 . . . . . this is the solution

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The 300 students at a school voted on four possibilities for an end-of-the-year event. The results are shown in the graph below.

fenix001 [56]

Step-by-step explanation:

44-18=26

if 300=100 percent

? =26 percent

26×300=7800

7800÷100=78

the answer is 78 students

5 0

3 years ago

Which ordered pair makes both inequalities true?

kvasek [131]

Answer:

(3, 0)

Step-by-step explanation:

Given the inequality y > -2x + 3 and y ≤ x - 2

The graph of the inequalities are plotted using the geogebra graphing online calculator.

The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.

All the ordered pair points given in the question are also labelled in the graph.

From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.

6 0

3 years ago

Which is not a correct way to rewrite this expression using the distributive

Effectus [21]

Given:

The expression is

$(2x^2+4x-7)(x-2)$

To find:

The expression which is not a correct way to rewrite the given expression.

Solution:

We have,

$(2x^2+4x-7)(x-2)$

Using distributive property, we get

$=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)$

$=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)$

Using distributive property the given expression can rewritten as:

$=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)$

Only the expression in option A is not a correct way to rewrite the given expression because $(2x^2+4x-7)$ is not distributed to $(x-2)$ properly.

Therefore, the correct option is A.

3 0

3 years ago

12. A photocopier enlarges by a ratio of 7: 4. A picture

attashe74 [19]

Answer: 2 enlargments

Step-by-step explanation:

Use proportion for each enlargment you do

Side a=6cm Side b=4cm

6:4=x:7 4:4=b1:7

7*6=4a1 b1=28/4

a1=42/4 b1=7 after first enlrge

a1=10.5 after first enlarge 7:4=b2:7

10.5:4=a2:7 b2=49/4

a2=73.5/4 xb2=12.5 after 2nd enlarge

a2=18.375 after 2nd enlarge

12.5:4=b3:7

18,375:4=a3:7 b3=21.875 cm after 3rd enlargement

a3=32.15after 3rd enlargement

Values after 3rd enlargement are higher than dimension given for picture wall

30 cm by 20 cm

8 0

3 years ago

If you are driving 60 miles per hour, how many hours will it take you to drive from Lubbock to San Antonio? Round your answer to

Deffense [45]

Answer: 3

Step-by-step explanation:

5 0

4 years ago