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2 years ago

Simplify the expression below. 12x+4−7x

Mathematics

2 answers:

Galina-37 [17]2 years ago

7 0

Answer:

5x+4

Step-by-step explanation:

Combine like terms: <u>12x</u>+4<u>-7x</u>

Notice that the 7 is being subtracted, as it's negative

KengaRu [80]2 years ago

6 0

12x+4−7x

5x + 4

answer is 5x + 4

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Logarithmic and Exponential Forms of Equations In Exercise, write the logarithmic equation as an exponential equation, or vice v

Nata [24]

Answer:

$12 = e^{2.4849}$

Step-by-step explanation:

For this case we have the following expression:

$ln(12) = 2.4849$

We need to remember that the natural log and the exponentiation with the base the euler number e are inverse operations, and if we apply exponentiation on both sides of the equation we got this:

$e^{ln(12)} = e^{2.4849}$

We have the identity operator for this $e^{ln(x)}= x$

$12 = e^{2.4849}$

And that would be our final answer for this case.

6 0

3 years ago

Find the vertex, x intercept, and y intercept of the following equation: y=(x-3)^2+5

daser333 [38]

Answer:

The x-intercepts are: ( 3 + i√5, 0) and (3 - i√5, 0).

The y-intercept is (0,5).

The vertex is at (3, 5).

Step-by-step explanation:

The given equation y=(x-3)^2+5 has the general form y=(x-h)^2+k, whose vertex is at (h,k).

Thus, the vertex of y=(x-3)^2+5 is (3,5).

Find the x-intercepts by setting y=(x-3)^2+5 = 0 and solving for x. To do this, solve (x-3)^2+5 = 0 for x. Subtracting 5 from both sides, we get:

(x-3)^2 = -5. We want to solve this for x.

Taking the square root of both sides, we get:

x-3 = √-1 * √5. Then x = 3 + i√5 and x = 3 - i√5. The x-intercepts are:

( 3 + i√5, 0) and (3 - i√5, 0).

3 0

3 years ago

Shape I is similar to shape II.

vivado [14]

the answer for number one is y-axis, and the answer number 2 is 0.5

7 0

3 years ago

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

The sum of 1/6, 2/3, and 1/4 is

zimovet [89]

1/6+2/3+1/4
First find the highest common multiple of the denominators=12
Then multiply each term by the quotient of 12/denominator
So...it becomes 2/12+8/12+3/12
Add all the numerators and keep the denominator constant
It becomes (2+8+3)/12=13/12
=1 1/12

5 0

3 years ago

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