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3 years ago

BRAINLIESTTT ASAP!! PLEASE HELP ME :)

Mathematics

1 answer:

4vir4ik [10]3 years ago

6 0

No they are not equivalent.

When you multiply a number raised to an exponent to an identical number with an exponent you actually add the exponents together, not multiply them.

So x^3 * x^3 * x^3 would simplify to x^9

The second equation has a single value raised to exponents multiplied by each other so x^3*3*3 would simplify to x^27

X^9 is not the same as x^27

You might be interested in

Solve 5x^2 − 3x + 17 = 9.

Vedmedyk [2.9K]

Answer:

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

⇒ 5x² − 3x + 17 - 9 = 0

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = $\frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}$

x = $\frac{3\pm\sqrt{9-160}}{10}$

x = $\frac{3+\sqrt{-151}}{10}$ and x = $\frac{3-\sqrt{-151}}{10}$

x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

here i = √(-1)

Hence,

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

7 0

3 years ago

Another day, another math problem 3

Goshia [24]

If f(x)=x²+2 and g(x)=x²+5 then the domain of the (fog) (x) is (-∞,∞).

Given the f(x)=x²+2 and g(x)=x²+5

We have to find the domain of the (fog) (x)

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

then,(fog) (x)= (x²+5)²+ 2

=x⁴+25+10x²+2

= x⁴+27+10x²

Now on any real value of x the value of (fog) (x) exists therefore (fog) (x) can take all the values of the real number.

So domain (fog) (x)= (-∞,∞).

Learn more about the domain here: brainly.com/question/26098895

#SPJ10

8 0

2 years ago

The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between L

GrogVix [38]

Answer:

325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

x = 32500000

Cross multiply

100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km

3 0

3 years ago

You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor

Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

#SPJ1

4 0

2 years ago

Boa drove from the Dead Sea up to Jerusalem and her altitude increased at a constant rate of 740 meters per hour. When she arriv

Alborosie

Answer:

$y=740x-400$

Step-by-step explanation:

The story tells us that Boa drove from the Dead Sea up to Jerusalem. With the data provided, we can assume a linear relationship between altitude and the number of hours. We are given two key data: one point and the rate of change (or slope).

We can easily find the equation of a line with slope m passing through a point (a,b) by using the formula

$y-b=m(x-a)$

In this case, y is the altitude above sea level, and x is the number of hours of driving

The value of m is 740 meters/hour and the known point is x=1.5 hours, y=710 meters. Using these values

$y-710=740(x-1.5)$

$y-710=740x-1110$

$y=740x-400$

4 0

3 years ago