PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.

Answer:

-16c⁵/3

Step-by-step explanation:

whenever exponents are separated by parentheses, multiply them

when dividing (and bases are the same), subtract exponents

anything raised to a negative exponent becomes a fraction with 1 in the numerator and the term goes in the denominator with a positive exponent

ex, 4^-1 equals 1/4;  3^-2 equals 1/9

[(-4)³·c^-4] ÷ 12c^-8

= -64c⁵/12

=  -16c⁵/3

Answer:

(6,3,0)

Step-by-step explanation:

Given,

x -  y + 0z  =  3

6x -  0y - 2z = 36

0x + 6y + 2z = 18

You have the following augmented matrix:

(1) 1     -1     0      3

(2) 6    0   -2      36

(3) 0    6    2       18

Let's (3) add to (2) and divide by 6

(1)  1    -1    0       3

(2) 1     1    0       9

(3) 0    6   2       18

Now, let's (2) add  to (1) and divide by 2

(1)  1   0    0     6

(2) 1    1    0     9

(3) 0   6   2     18

Let's (3) ÷ 2

(1)  1    0   0     6

(2) 1    1   0      9

(3) 0   3   1      9  

Let's (1) subtract from (2)

(1)  1   0   0     6

(2) 0   1   0     3

(3) 0   3   1     9

Finally, let's (2) multiply by 3 and subtract from (3)

(1)  1   0   0     6

(2) 0   1   0     3

(3) 0   0   1     0

Thus,

x = 6, y = 3 and z = 0

The answer is (6, 3, 0)

We have to verify the answer

6 - 3 = 3  ⇒⇒ 3 = 3

6*6 - 5*0 = 36   ⇒⇒ 36 = 36

6*3 + 2*0 = 18    ⇒⇒ 18 = 18  

Answer:

What product

Step-by-step explanation:

Step-by-step explanation:

Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

Answer:

The other point lies on the graph is (0, - 8).

Step-by-step explanation:

Point (3, - 4) lies on the graph [tex]y = (x -5)^2 + K[/tex]

So, put x = 3 and y = - 4 in the equation.

[tex]- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8[/tex]

So, the equation of graph is

[tex]y = (x - 5)^2 -8[/tex]

Let x = 5 lies on the graph so

[tex]y = (5 -5)^2 -8 \\\\y = -8[/tex]

So, the other point lies on the graph is (0, - 8).

Answer:

28, 31, 34, 37, 40, and 43

Step-by-step explanation:

3 is added to each new number in the sequence.

Answer:

28,31,34,37,40,43

Step-by-step explanation:

The difference between each consecutive two number is 3.

Therefore, just add 3 to the number and you get the next number.

Answer:

i think its like this:

Step-by-step explanation:

Answer:

4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:

8 x 8 x 8 x 8 = X

64 x 64 = X

4.096 = X

Therefore, 4096 different cakes can be made if flavors can be repeated.

Answer:

Step 1: 3t = 51

Step 2: 3t/3 = 51/3

Step 3: t = 17

Step 4: The Green Garage has 17 tires

Hope this helps!

Answer:

3t=51

[tex]\frac{3t}{3}[/tex]=[tex]\frac{51}{3}[/tex]

t=17

The Green Garage has 17 tires.

Step-by-step explanation:

Look at the question carefully

Answer:

7 and 5 down

Step-by-step explanation:

Answer:

5/7 i dont know if this is right or not but i hop u get it

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(x) = x − 7 and g(x) = x^2

g(f(4))

First find f(4)

f(4) = 4-7 = -3

Then put this result in g(x)

g(-3) = (-3) ^2 = 9

g(f(4) = 9

g(f(4)) =9.

Answer:

Solution given;

(x) = x − 7 and g(x) = x2 .

now

g(f(4))=g(4-7)=g(-3)=(-3)²=9

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The augmented matrix is the 3×4 matrix of the coefficients in the standard-form equations.

  [tex]\left[\begin{array}{ccc|c}5&-4&-6&-3\\1&-3&1&-1\\-3&-6&7&1\end{array}\right][/tex]

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

Step-by-step explanation:

[tex] \cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10} [/tex]

[tex] \cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta [/tex]

Note that

[tex] \sin( - \theta) = - \sin \theta[/tex]

[tex] \cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1[/tex]

Therefore,

[tex] \cos( \frac{\pi}{2} - \theta ) = 0.97[/tex]

Answer:

31vw+39uvw . yes we will rewrite the expression

Step-by-step explanation:

41uvw+9uvw=50uvw-11uvw=39uvw

Answer:

28.749 km

Step-by-step explanation:

in reality

1 foot = 0.3048 meters not 0.37

1 mile = 5,280 feet not 5,180

15 miles  = 24.14016 kilometers

---------------------------

Using the numbers stated in the problem

0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km

Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

Answer: Umm lemme try this

Step-by-step explanation:

55+35=x

Answer:

$4.94

Step-by-step explanation:

O  5.20       100%

P                   - 5

N                   95%

0.95 x 5.20 = 4.94

Ms. Smith saved $4..94.

9514 1404 393

Answer:

  25 +0i

Step-by-step explanation:

The conjugate of a complex number is that number with the sign of the imaginary part reversed.

For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...

  (-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)

  = 9 +12i -12i -16i² = 9 +16 = 25

The real part of the product is 25; the imaginary part is 0.

  (-3 +4i)(-3 -4i) = 25 +0i

_____

You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.

Answer:

=14.2

Step-by-step explanation:

a^2 + b^2 = c^2

21 ^2 + x ^2 = 35^2

= 28

28 + 4 = 32

The side with 21 then becomes the new x

x/a =

=14.2

The height of the house that can be ladder reached now will be 14.18 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A 35-foot ladder is set against the side of the house so it reaches up 21 feet.

Then the base length will be

  35² = 21² + b²

1225 = 441 + b²

   b² = 784

     b = 28 feet

If the ladder is at its base and pulls it 4 feet farther from the house.

Then the height of the house that can be ladder reach now will be

  35² = 32² + h²

1225 = 1024+ h²

   h² = 201

     h = 14.18 feet

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Given:

15. [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]

17. [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]

19. [tex]2^{\log_2100}[/tex]

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]

Using property of logarithms, we get

[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1[/tex]         [tex][\because \log_aa=1][/tex]

Therefore, the value of [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex] is 1.

17. We have,

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]

Using properties of logarithms, we get

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)[/tex]                    [tex][\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}][/tex]

[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1[/tex]                 [tex][\because \log_aa=1][/tex]

Therefore, the value of [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex] is -1.

19. We have,

[tex]2^{\log_2100}[/tex]

Using property of logarithms, we get

[tex]2^{\log_2100}=100[/tex]          [tex][\because a^{\log_ax}=x][/tex]

Therefore, the value of [tex]2^{\log_2100}[/tex] is 100.

Answer:

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Z-score with the Central Limit Theorem:

Z-is given by:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

What is the probability that the mean salary offer for these students is X or less?

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

Answer:

A pair of angles whose sum is not 90 or 180 is not an angle pair.

Answer:

20 people

Step-by-step explanation:

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.

On Monday, 3,000 customers came to the theater.

To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.

LCM of 30, 75

= 5 × 3 × 5 × 2

= 150

Each 150th customer will receive both free items.

Total number of people who receive both free items = 3000 ÷ 150

                                                                                      = 20 people

On Monday 20 people will receive both free items.

Answer:

4

Step-by-step explanation:

x²+8x+11=0

x²+8x+(+4)²-(+4)²+11=0

Answer:

16

Step-by-step explanation:

x2+8x=  −11−11

28​=4→(4)2=16

x2+8x+16=x2+8x+16=  −11+16−11+16

(x+4)2=  55

16