Use the Factor Theorem to examine the polynomial p(x)=6x4+x3−45x2+26x+24. Which binomial is a factor of p(x)?
2x+3
(3x-2)
(2x-1)
(3x−4)

Answer: THE ANSWER IS -1/36

Step by step: Find the LCD then combine

The answer is : -1/36

You forgot the 1 for 18 in the last question lol

Hope this helps, pls mark as brainliest :))))

Answer: -4/7

Step-by-step explanation:

2/3 (1 + n ) = -1/2n

2/3 + 2/3n = -1/2n

Multiply both sides by 6

4 + 4n = -3n

4n + 3n = -4

7n = -4

Divide both sides by 7

n = -4/7

Answer:

Answer above its explained fully

Answer:

[tex]\large \boxed{x = 10}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}[/tex]

[tex]\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}[/tex]

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

Slope = 5

Answer:

5

Step-by-step explanation:

Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.

Answer:

38 feet

Step-by-step explanation:

Answer:

7/11

Step-by-step explanation:

Both the numerator and denominator are divisible by 21.

so:

147 divided by 21 = 7

231 divided by 21 = 11.

When they are re-assembles to a fraction = 7/11

Hope this helps.

Please mark brainiest

Answer:

Brainliest goes to me!

Step-by-step explanation:

5k-2k+1

3k+1

Answer:

postulates, common notions, and axioms

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

Answer:

Third graph in the image attached

Step-by-step explanation:

Let's rewrite the first inequality:

x - 4y < 4

-4y < 4 - x

4y > x - 4

y > x/4 - 1

We can draw the line y = x/4 - 1, then all values above this line will be solution for this inequality (check first graph in the image attached)

Now, for the second inequality, we have:

y < x+1

We can draw the line y = x + 1, then all values below this line will be solution for this inequality (check second graph in the image attached)

Now, if we combine these solutions, we have the third graph in the image attached.

The crossing point can be found making the value of y from one line equal the value of y from the other line:

[tex]x/4 - 1 = x + 1[/tex]

[tex]x - x/4 = -2[/tex]

[tex]3x/4 = -2[/tex]

[tex]3x = -8[/tex]

[tex]x = -8/3[/tex]

[tex]y = x + 1 = -5/3[/tex]

The crossing point is (-8/3 , -5/3)

Answer:

its c

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

The work form of this upside down parabola is

[tex]y=-|a|(x-h)^2+k[/tex]

It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:

[tex]-6=-|a|(5-4)^2-3[/tex] and

[tex]-6=-|a|(1)^2-3[/tex] and

[tex]-6=-|a|1-3[/tex] and

[tex]-6=-|a|(-2)[/tex] and

3 = -|a|

Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.

Answer: The answer is -3!!!!!!!!!

Step-by-step explanation:

Answer:

7-x

Step-by-step explanation:

49 - x^2 is a perfect square so

it factors to :(7+x)(7-x)

since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)

Forgive me for my lame explanation :')

Complete question:

Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.

Answer:

In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.

We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.

Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.

Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.  

The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.

Answer:

| 32 - c | [tex]\leq[/tex] 8

Step-by-step explanation:

c represents the cost of the medication

This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.

Answer:[x - 32] <(with line under it) 8

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

62.5 in cubed

Step-by-step explanation:

The formula is l*w*h divided by 3

5*5= 25

and 25*7.5= 187.5

187.5/3= 62.5

Pls mark brainliest!!

Answer:

[tex]62.5 {in}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(x +7)(x - 5)

Step-by-step explanation:

x² + 2x - 35

- 35 = 7*(-5)

2 = 7 + (-5)

x² + 2x - 35 = (x +7)(x - 5)

Answer:

A.They may significantly affect the mean of the data.

Step-by-step explanation:

The outliers may significantly affect the mean of the data.

The extreme values in the data are called outliers.  

Example: For a data set containing  2, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 84.

In the above number line, we can observe the numbers 2 and 84 are at the extremes and are thus the outliers.

The outliers are a part of the group but are far away from the other members of the group.

For example:

Consider the data:  70, 73, 77, 71, 7, 73, 72, and 78

Let's calculate the mean to understand how the outlier affects the results.

Here, the datapoint 7, is an outlier.

Mean (with outlier)

=70+73+77+71+7+73+72+78/8

=521/8

=65.1

Mean (without an outlier)  = 70+73+77+71+73+72+78/7 = 514/ 7 =73.4.

the outlier creates a variation in the mean value of the data.

As, from the example discussed above we have seen that outliers depends on mean of the data.

Hence, outliers may significantly affect the mean of the data.

Learn more about outliers here:

https://brainly.com/question/26958242

#SPJ5

Answer:

Step-by-step explanation:

(3,2) (4,5)

-4 on the left number (3 and 4)

-3 on the right number (2,5)

creates:

A'(-1,-1) AND B'(0,2)

Answer:

[tex]-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}[/tex]

Answer:

The answer is "Option C".

Step-by-step explanation:

In the given question attachment of the table is missing which can be defined as follows:

[tex]\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right[/tex]

In given table a method f(x) values corresponding to different values of x.  

We needed to try f(0) value  that is in this method, we have to calculate the f(x) value if x=0  

As we've seen from the table the f(x) value at x=0 is 6  

That's why the correct choice is option C that is 6.

Answer:

The answer would be C

Step-by-step explanation:

I just took the test !!

Answer:

[tex]4-i[/tex]

Step-by-step explanation:

Use the formula for the distance of a complex number from the origin on the complex plane.

[tex]\sqrt{a^2+b^2}[/tex]

[tex]a+bi[/tex]

[tex]4-i[/tex]

[tex]\sqrt{4^2-i^2}[/tex]

[tex]\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}[/tex]

The complex number that has a distance of [tex]\sqrt{17}[/tex] is [tex]4-i[/tex].

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

Complex numbers are a generalization from real numbers, whose expression are of the form a + i b, where a and b are the components of the real and imaginary components, respectively. The magnitude of complex numbers is determined by Pythagorean theorem, this is, the distance from the origin to the location of the number on the complex plane:

[tex]r = \sqrt{a^{2}+b^{2}}[/tex]

If we know that a = 4 and b = -1, then the magnitude of the complex number is:

[tex]r = \sqrt{4^{2}+(-1)^{2}}[/tex]

[tex]r = \sqrt{17}[/tex]

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

The statement presents several typing mistakes, correct form is shown below:

Which complex number has a distance of [tex]\sqrt{17}[/tex] from the origin on the complex plane?

A. 2 + i 15

B. 17 + i

C. 20 - i 3

D. 4 - i

To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853 #SPJ5

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

Answer:

It would be $340 (with rental cost)

Without the rental cost it would be $250

Step-by-step explanation:

You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.

Equation: 90 + .05k

k= kilometers

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) =  22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3

Answer:

f⁻¹(-2)=3

f⁻¹(1)=0

Step-by-step explanation:

inverse function flips x any coordinate into y and x

Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons