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3 years ago

Solve (-2x-1)(9x+2) Solve and show work

Mathematics

1 answer:

tresset_1 [31]3 years ago

3 0

Answer:

-0.5 or -2/9

Step-by-step explanation:

(-2x-1)(9x+2)

open the bracket

-18x² - 4x - 9x - 2

-18x²-13x-2

(18x²+9x)(+4x+2)

factorise

9x(2x+1) +2(2x+1)

(9x+2)(2x+1)

:separate the bracket and equate to 0

9x+2=0

collect like terms

9x= -2

divide through by 9

x= -2/9

4x = -2

divide through by 4

x = -2/4

: x = -0.5

answer = -0.5 or -2/9

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Complete the set of ordered pairs for the relation.

neonofarm [45]

The set of ordered pairs is:

{(-2, 2), (-1, 0), (0, 2), (1, 4), (2, 6)}

<h3>How to complete the set of ordered pairs?</h3>

Here we have the relation:

y = 2*|x + 1|

And the domain is x ∈ { -2, -1, 0, 1, 2}

Evaluating in the values of the domain, we get:

if x = -2.

y = 2*|-2 + 1| = 2

Then we have the ordered pair (-2, 2)

if x = -1

y = 2*|-1 + 1| = 0

Then we have the ordered pair (-1, 0)

if x = 0

y = 2*|0 + 1| = 2

Then we have the ordered pair (0, 2)

if x = 1

y = 2*|1 + 1| = 4

Then we have the ordered pair (1, 4)

if x = 2

y = 2*|2 + 1| = 6

Then we have the ordered pair (2, 6)

The set of ordered pairs is:

{(-2, 2), (-1, 0), (0, 2), (1, 4), (2, 6)}

If you want to learn more about ordered pairs:

brainly.com/question/1528681

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6 0

2 years ago

What is the least common multiple of 49 and 28?

USPshnik [31]

Least common mulitplue is the smallest number that has 49 and 28 as factors

so to do this
find the factor so 49 and 28 and gropu all of them so both are in it

49=7 times 7
28=2 times 2 times 7
therefor yo need at least two 7's and two 2's
that equals
7 times 7 times 2 itme s2=49 times 4=196

answer is 196

7 0

3 years ago

Identify the center and radius of the circle given by the equation (x+2)^2+(y-5)^2=16

Andreyy89

Answer:

Center=(0,2) Radius=(4)

Step-by-step explanation:

give me 5 star and thank me plz

8 0

3 years ago

If ƒ

SSSSS [86.1K]

(B)
if f(a) = K, then that means f sends (a) to (K).
the inverse function, f-1, goes back where you started, so f-1 sends (K) to (a).
f-1(K) = a.

8 0

3 years ago

Read 2 more answers

The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate

liubo4ka [24]

Answer:

The total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

Step-by-step explanation:

The population of California is approximately 38,040,000.

The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

$3.804\times \:10^7+2.606\times \:10^7$

$\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41$

Thus, the total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

4 0

4 years ago