Use the quadratic formula to solve for x.

Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answer:

( [tex]\frac{1}{4}[/tex], 8 )

Step-by-step explanation:

y = 8x + 6 → (1)

y = 32x → (2)

substitute y = 32x into (1)

32x = 8x + 6 ( subtract 8x from both sides )

24x = 6 ( divide both sides by 24 )

x = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]

substitute this value into either of the 2 equations and solve for y

substituting into (2)

y = 32 × [tex]\frac{1}{4}[/tex] = 8

solution is ( [tex]\frac{1}{4}[/tex], 8 )

Answer:

22.25

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

a---leg                          a=17

b---leg                          b=?

c----hypotenuse          c=28

[tex]17^2+b^2=28^2\\289+b^2=784\\b^2=495\\\sqrt{b^2}=\sqrt{495}\\b = 22.25[/tex]

Answer:

3. True, wall clouds are good indicators that a tornado could form

Step-by-step explanation:

Answer:

[tex]\frac{12g^{5} }{h}[/tex]

Step-by-step explanation:

[tex]\frac{12g^{8}h^{4} }{g^{3}h^{5} } =12g^{(8-3)} h^{4-5} =12g^{5} h^{-1} =\frac{12g^{5} }{h}[/tex]

Hope this helps

Answer: ok so the answer is 15/23 , as a fraction .

Step-by-step explanation: there are 6 blue tokens , 9 green tokens and 8 red tokens . We have to know how many tokens in total so we add them and the answer is 23 so 23 tokens in total . He asked about the probability of green or blue tokens . So add how many green or blue tokens are there so the answer is 15 . So the probability of finding green or blue tokens is 15 over 23 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

20

Step-by-step explanation:

First, the rectangle is 10 by 5, so an easy 50. Then we have the triangle. The base is 5, and since the whole height is 18 and the rectangle's is 10, 18-10=8. The formula for a triangle is 1/2(b)h, so:

1/2*5=2.5

2.5*8=20 cm

Hope this helps!

The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.

The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.

Given that:

[tex]f(x)=cx\ \ at\ 0 < x < 2[/tex]

Here we can see that the value of x is varies as 0,1,2

So at 0,1,2 the value of the function is

[tex]f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\[/tex]

So the probability density function is given as:

[tex]\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1[/tex]

[tex]3c=1\\\\c=\dfrac{1}{3}[/tex]

Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.

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Answer:

1/2 split into 1/3 = 1/6

Answer:

there are 83 percent of books

Answer:

18 feet³

Step-by-step explanation:

3 · 3 · 2 =

9 · 2 =

18 feet³

That which is equivalent to tanθ is A sinθ/cosθ

To answer the question, we need to know what tanθ is

Tanθ is a trigonometric identity which is the tangent of the angle .

Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.

Also, the sine of the angle θ is sinθ = x/1 = x

And also, the cosine of the angle θ is cosθ = y/1 = y

Since we have that

Substituting the values of the variables y and x into tanθ, we have

tanθ = y/x

tanθ = sinθ/cosθ

So, that which is equivalent to tanθ is A sinθ/cosθ

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The exact dimension of the prism is as follows;

volume of rectangular prism = Bh

where

Therefore,

volume  = 100 cm³

Hence, the base of the prism is a square. The whole side of the base is equal.

Therefore,

length = width = x

x² = h

Therefore,

x² × x × x = 100cm³

x⁴ = 100

volume = x = [tex]\sqrt[4]{100}[/tex]

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Answer: (0, -6)

Step-by-step explanation:

The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).

Answer:

C

Step-by-step explanation:

The fast way: Testing the options!

Teacher loving way:

An= d×n + A0

d= A4-A3=A5-A4=A6-A5...= 6

A3= 0 = 6×3 + A0

A0= -18

Then the equation is: An= 6n - 18

Answer:

(-2.5, -2) (-2, -1.5) (1.5, 2) (2, 2.5)

Step-by-step explanation:

In these intervals, the y value is decreasing.

Answer:

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

that is the solution above

Answer: 60° because 23 and 25 are alternate interior angles

Step-by-step explanation:

Step-by-step explanation:

Formula:

(c + d i)(e + f i) = (c e - d f) + (c f + d e) i

……………………………………………………………

if c, d, e, and f are positive real numbers

then

c f + d e  is a positive number.

then

The product of the two complex numbers

lies in Quadrant 1 or Quadrant 2.

Since , c, d, e, and f are positive real numbers

Then

The two complex numbers c + d i  and  e + f i  lie in Quadrant 1

We want to find an example of two complex numbers

That lie in Quadrant 1 ,such that ,their product lies in the other possible

Quadrant, which is Quadrant 2.

EXAMPLE:

Let c + d i = 1 + i

      e + f i = 2 + 3i

By applying the formula:

(c + d i)(e + f i) = (c e - d f) + (c f + d e) i

We get :

(1 + i)(2 + 3i) = -1 + 5i

1x1=1

1x2=2

2x3=6

6x4=24

24x5=120

120x6=720

720x7=5040

the answer is 720 and 5040

Answer:

[tex]r = 7\ km[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A = \pi r^2[/tex]

Since we know that a semicircle is half of a circle, we can say the area is:

[tex]A = \frac{1}{2}\pi r^2[/tex]

From here solve for r:

[tex]76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7[/tex]

Answer:

12 seconds

Step-by-step explanation:

we need to find the Lcm which is 12
they both flash after 12 seconds

Answer:

Every 12 seconds

Step-by-step explanation:

You must find the LCM (Least common denominator)

4 x 3 = 12

Because 3 goes into 6 and 4 is four so the LCM is 12

Answer:

Its 12

Step-by-step explanation:

It says what is MORE than 39 so you count every "I" and you get 12.

Answer:

191

Step-by-step explanation:

the rule is +4 so 11+45*4=191 (45 is the number not including the first one)

191 is the answer

Answer:

191

Step-by-step explanation:

First, determine if the sequence is arithmetic or geometric.

If it is arithmetic, the difference between consecutive terms is constant.

If it is geometric, the ratio between consecutive terms is constant.

[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]

As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

Given:

Substituting the given values into the formula to find an equation for the nth term:

[tex]\implies a_n=11+(n-1)4[/tex]

[tex]\implies a_n=4n+7[/tex]

Therefore, to find the 46th term, substitute n = 46 into the equation:

[tex]\implies a_{46}=4(46)+7=191[/tex]

Answer:

x=2

Step-by-step explanation: