ewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 3 over 4 power, all over 2 to the 1 over 2 power

For this case we must find the product of the following expressions:

[tex](-2x ^ 3 + x-5) (x ^ 3-3x-4)[/tex]

We apply distributive property, that is, we multiply term by term, taking into account that:

[tex]- * - = +\\- * + = -[/tex]

[tex]-2x ^ {3 + 3} + 6x^{3 + 1} + 8x ^ 3 + x ^ {1 + 3} -3x1 + 1 -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

If we multiply:

[tex](x ^ 3-3x-4) (- 2x ^ 3 + x-5)[/tex]

We will obtain the same result because we would be applying the commutative property of multiplication.

ANswer:

[tex]-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

Answer:

2x^6+7x^4+3x^3-3x^2+11x+20

Step-by-step explanation:

.................. yw!! for nyone still wondering

Let the number of hours driven equal x.

You would multiply the number of hours by his speed, so you would have 50x

You would then want to subtract that from the total miles to see how many more miles he needs to drive.

The answer would be E. y = 470 - 50x

Answer:

The scale factor is equal to 10

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger circle

y ---> the area of the smaller circle

so

[tex]z^{2}=\frac{x}{y}[/tex]

we ahve

[tex]x=200\pi \ m^{2}[/tex]

[tex]y=2\pi \ m^{2}[/tex]

substitute

[tex]z^{2}=\frac{200\pi}{2\pi}[/tex]

[tex]z^{2}=100[/tex]

[tex]z=10[/tex]

therefore

The scale factor is equal to 10

The radius of the larger circle is 10 times greater than the ratio of the smaller circle

The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?

From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.

This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).

Now we can see that either C or D is the answer.

To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.

Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.

Answer: OPTION C

(c) slope = Negative one-fourth, y-intercept = 1

     slope = -1/4, y -intercept =1

Step-by-step explanation:

Answer:

[tex]4h> 14\ cm^{2}[/tex]

Step-by-step explanation:

Let

b -----> the base of parallelogram

h ----> the height of parallelogram

we know that

The area of parallelogram is equal to

[tex]A=bh[/tex]

[tex]A> 14\ cm^{2}[/tex]

so

[tex]bh> 14\ cm^{2}[/tex]

substitute the value of b

[tex]4h> 14\ cm^{2}[/tex] ---->inequality that represents all possible values of h

Answer:

The answer is D

Step-by-step explanation:

The Intersecting Secant Theorem says

EC × ED = EB × EA

(x+4)(x+4+1) = (x+1)(x+1+11)

(x+4)(x+5)=(x+1)(x+12)

x^2 + 9x + 20 = x^2 + 13 x + 12

8 = 4x

x = 2

Check:

6(7)=42

3(14)=42, good

Answer: 2

[tex]\bf x(2x+4x^2-5-3x)\implies x(\stackrel{\textit{like-terms}}{2x-3x}+4x^2-5)\implies x(-x+4x^2-5) \\\\\\ -x^2+4x^3-5x\implies \stackrel{\textit{general form}}{4x^3-x^2-5x}[/tex]

Answer:

Here's what I get.

Step-by-step explanation:

x(2x + 4x² - 5 – 3x)

1. Distribute the x

2x² + 4x³ - 5x - 3x²

2. Combine like terms

4x³ - 5x – x²

3. Write the expression in order of descending powers of x

[tex]\boxed{\mathbf{4x^{3} - x^{2} - 5x}}[/tex]

Answer:

A

Step-by-step explanation:

A function maps one member in the domain ( x values ) to exactly one member in the range (y values ).

A is the only diagram representing this characteristic.

Answer:

f(x)=-13

Step-by-step explanation:

-2x2+2x-3

-2(5)*2+2(5)-3

-10*2+10-3

-20+7=-13

I hope this helps!

Answer:

The value of f(5) is -43

Step-by-step explanation:

[tex]f(x)=-2x^2 + 2x - 3[/tex]

To find f(5) we plug in 5 for x in the given equation f(x)

Replace all x by 5

[tex]f(x)=-2x^2 + 2x - 3[/tex]

[tex]f(5)=-2(5)^2 + 2(5) - 3[/tex]

[tex]f(5)=-2(25) + 10 - 3[/tex]

[tex]f(5)=-50+ 10- 3=-43[/tex]

The value of f(5) is -43

Answer:

your answer is 19,683 in^3

Step-by-step explanation:

i don't know what the heck an exercise cube is, but hey, it's the world of real world problems

volume of a cube = side length ^ 3

= 27*27*27

=19,683 in^3

If the side of cube is 27 inches then the volume of cube is 19683 [tex]inches^{3}[/tex].

The volume is the amount of substance a container can hold in its capacity. Substance can be liquid or solid. Volume of cube is side*side*side which can be written as [tex]side^{3}[/tex].

We have been given that the side of cube is 27 inches and we are required to find the volume of cube.

Volume=[tex]side^{3}[/tex]

Putting side=27.

Volume=[tex](27)^{3}[/tex]

=19683 cubic inches.

Hence if the side of cube is 27 inches then the volume of cube is 19683 [tex]inches^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

Answer:

AB=30.9 AC=29.9

Step-by-step explanation:

Rest of the answer is in the picture.

Answer:

AC= 29.9

AB= 30.9

Answer:

y+5 = -3(x-1)  point slope form

y = -3x-2 slope intercept form

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

m = (7--5)/(-3-1)

   = (7+5)/(-3-1)

   = 12/-4

   = -3

The slope is -3

Then we can use point slope form to write an equation

y-y1 = m(x-x1)

y--5 = -3(x-1)

y+5 = -3(x-1)

This is in point slope form

Distribute

y+5 = -3x+3

Subtract 5 from each side

y+5-5 = -3x +3-5

y = -3x-2

This is in slope intercept form

Answer:  I suggest using desmos, since I can't help!! I can't see the function!!

Answer:

I'm sorry but there is no graph if you could take a picture I could try to help.

Answer:

x=-20

Step-by-step explanation:

Given

-6(x+7)= -4x - 2

First of all, we have to solve brackets

So,

-6x-42=-4x-2

To find the solution of this equation, we have to isolate x on one side of the equation.

Adding 4x on both sides

-6x-42+4x = -2-4x+4x

-2x-42 = -2

Adding 42 on both sides

-2x-42+42 = -2+42

-2x=40

Dividing both sides by -2

-2x/2 = 40/-2

x = -20

The equation has only one solution which is x=-20 ..

first off, we know the angles at vertices C and F are right-angles, meaning both triangles are right-triangles.

we also know that sides AC = DF and BC = EF.

now, for right-triangles, if the two shorter legs are congruent in both triangles, the triangles are congruent by the Leg Leg theorem, namely LL.

Answer:

D

Step-by-step explanation:

In year 0, we have 6.

In year 1, we have 6(4)

In year 2, we have 6(4)(4) or 6(4)^2

The 4 is the repeated factored

The answer is D

Answer:

8

Step-by-step explanation:

We cannot solve this, since this is an expression, not an equation.

Lets simplify the expression

4(10x+2)-40x

Distribute the 4

40x +8 - 40x

8

Answer:

[tex]\displaystyle =8[/tex]

Step-by-step explanation:

Distributive property:

       ↓

 A(B+C)=AB+AC

A=4,  B=10x, and C=2

[tex]4*10x+4*2[/tex]

Simplify.

[tex]40x+4*2[/tex]

[tex]4*2=8[/tex]

[tex]40x+8[/tex]

[tex]40x+8-40x[/tex]

Group like terms

[tex]40x-40x+8[/tex]

Add numbers from left to right.

[tex]40x-40x=0[/tex]

[tex]\displaystyle 8[/tex], is the correct answer.

Hope this helps!

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]g(x)=\left|x+3\right|[/tex]

we know that

The graph is V-shaped

The vertex of the function is the point (-3,0)

The y-intercept is the point (0,3)

The graph in the attached figure

Answer:

12

Step-by-step explanation:

g(1.5) is 8 - 3(1.5), or 8 - 4.5, or 3.5.

Then substitiute 3.5 for x in h(x) = 2x + 5:  h(g(1.5)) = h(3.5) = 7 + 5 = 12

Your question asks what the value of h(g(1.5)) is.

To find the answer to your question, we're going to need to solve g(x) first, then plug in the answer from g(x) to h(x).

Lets solve:

We're going to plug in 1.5 to our "x" variables in the g(x) equation.

Your equation should look like this:

[tex]g(x)=8-3(1.5)[/tex]

Now, you solve:

[tex]g(x)=8-3(1.5)\\\\g(x)=8-4.5\\\\g(x)=3.5[/tex]

You should get 3.5

Once you're done solving g(x), we would plug in the answer we got from the G(x) equation into our h(x) equation.

Your equation should look like this:

[tex]h(x)=2(3.5) + 5[/tex]

Then, you solve:

[tex]h(x)=2(3.5) + 5\\\\h(x)=7+5\\\\h(x)=12[/tex]

Once you're done solving, you should get 12

This means that the value of h(g(1.5)) is 12.

12 should be your FINAL answer.

Answer:

4X4=16

16X16=256

Step-by-step explanation:

Hi there! My name is Zalgo and I am here to provide you with your answer for today! So, 4x^2*4x^2 (4xSquared multiplied by 4xSquared) is quite simply. When you square a number, you are multiplying that number by itself (so, 4 times 4 equals 16). Once you have done that, you are left with 16 times 16. 16 multiplied by 16 is 256!

I hope that this answer helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! :3)

Answer:

[tex]x^{2}+y^{2}=25[/tex]

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center

r is the radius

In this problem we have

(h,k)=(0,0)

r=5 in

substitute

[tex](x-0)^{2}+(y-0)^{2}=5^{2}[/tex]

[tex]x^{2}+y^{2}=25[/tex]

Answer:

Convert the fraction to a decimal number. The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." ...

Multiply by 100 to convert decimal number to percent. 0.25 × 100 = 25%

Step-by-step explanation:

Answer:

Divide the numerator by the denominator to get a decimal. Then move the decimal 2 places to the right and add the percent sign.

Answer:

b² - 4ac = 0

Step-by-step explanation:

The nature of the roots of a quadratic equation are determined by the discriminant, that is

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

x = - 3 indicates an equal root, hence b² - 4ac = 0

Answer:

The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.

2/1.5=1.3

9/1.5=6

18/1.5=12

Hope this helps!

Step-by-step explanation:

The domain is the input value of an equation/ graph, which is the X value.

The X value on a graph is the horizontal axis across the bottom.

The X-axis for this is the months, so the answer is The domain represents a 11-month period of flower production.

The answer would be -0.012345679.

The first thing you would do is substitute 3 in for x, seeing that you've told us x = 3. After you've substituted x, the equation would look something like:

f(3) = -3^-4. From here, all you have to do is solve! -3 to the power of -4 equals -0.012345679. Therefor, f(3) = -3^-4 equals -0.012345679

Answer:

- [tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{-n}[/tex] ⇔ [tex]\frac{1}{a^{n} }[/tex]

Hence

f(3) =- [tex]3^{-4}[/tex] = - [tex]\frac{1}{3^{4} }[/tex] = - [tex]\frac{1}{81}[/tex]

Answer:

[tex]{\huge \boxed{X<-2}}[/tex]

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand.

4(1-3x)-14=-12x-10

4(2x+3)-9x=-x+12

-12x-10>-x+12

Add by 10 from both sides of equation.

-12x-10+10>-x+12+10

Simplify.

-12x>-x+22

Add by x from both sides of equation.

-12x+x>-x+22+x

Simplify.

-11x>22

Multiply by -1 from both sides of equation.

(-11x)(-1)<22(-1)

Simplify.

11x<-22

Divide by 11 from both sides of equation.

11x/11<-22/11

Simplify, to find the answer.

-22/11=-2

x<-2 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

-¼ = Slope

[0, 2] = y-intercept

y = -¼x + 2

Step-by-step explanation:

Your y-intercept is [0, 2] and your x-intercept is [8, 0] (not all the time your x-intercepts will be endpoints)]. Simply do rise\run until you hit another endpoint, starting from your y-intercept. As you can see, you go two blocks south, then eight blocks over east, since in this case, you are moving by increments of 2. If you were to recreate this graph in increments of 1, you would see that the simplification of -2\8, is -¼. That is why the rate of change is -¼. Do you understand?

Answer: c. area ≈ 5 units²

Step-by-step explanation:

Step 1: Use Law of Sines to find b:

[tex]\dfrac{sinC}{c}=\dfrac{sinB}{b}\\\\\\\dfrac{sin44.9}{4}=\dfrac{sin107.3}{b}\\\\\\b=\dfrac{4sin107.3}{sin44.9}\\\\\\b=5.4[/tex]

Step 2: Use SAS formula to find the area of the triangle:

[tex]Area = \dfrac{1}{2}bcsinA\\\\\\Area=\dfrac{1}{2}(5.4)(4)sin27.8\\\\\\Area = 5.05[/tex]

Answer:

Step-by-step explanation:

She likely has more books than the Library of Congress.

First of all you have to take 1/2 the number

(1/2) 392,396 = 196198

sqrt(196198) = 443 rounded to the nearest whole number.