Felix needs to determine whether x + 3 is a factor of f(x)=−2x4−8x3−2x−63. How can Felix use the factor theorem to determine whether x + 3 is a factor of f(x)? Drag a value, expression, or phrase into each box to correctly complete the statements. Felix evaluates{ } Response area and determines its value to be{ } Response area. Felix concludes that x + 3{ } Response area a factor of f(x)=−2x4−8x3−2x−63.

Answer:

f(x) = 3 + 5x

Step-by-step explanation:

For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.

This means that f(0) = 3.

And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.

Hence, we will create the function equation:

f(x) = 3 + 5x

Cheers.

Answer:

[tex] \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Step-by-step explanation:

[tex] \because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Answer:

7

Step-by-step explanation:

The area for a parallelogram is given by the following formula:

[tex]A=bh[/tex]

Where b is the base and h is the height.

We already know the area is 28 and the height is 4. So, substitute:

[tex]28=4b[/tex]

Divide both sides by 4:

[tex]b=7[/tex]

So, the base length is 7.

Our answer is 7 :)

Hey there! I'm happy to help!

The area of a parallelogram is just the base multiplied by the height. If the area is 28 square feet, we will divide it by our height to find the base.

28/4=7

Therefore, our base is 7 feet.

Have a wonderful day! :D

Answer:

22

Step-by-step explanation:

Answer:

  (B)  -6

Step-by-step explanation:

If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.

Answer:

To divide the money evenly, without him taking any, use the formula in which x is the amount of children.

2000/x

It's that simple!

2000 dollars divided by x children.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

Step-by-step explanation:

hello friend

the answer is [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

To find the inverse, interchange the variables and solve for y

[tex]f^{-1}[/tex](x) =  [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

Hope this helps

plz mark as brainliest!!!!!!

Answer:

a,c,d,f      had the same problem just now

Step-by-step explanation:

Answer:

The answers are A, C, D, E !

Step-by-step explanation:

Answer:

A parallelogram is a shape with 4 equal sides like a square or a rectangle. I hope this helped!

Answer:

The  probability is  [tex]P(X = 5) = 0.222[/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of business travelers that plan their own business trip is [tex]p = 0.45[/tex]

   The  sample  size is  n  = 12

    The  random number considered is  x =  5

Generally the  proportion of business travelers that do not  plan their own business trip is mathematically evaluated as

      [tex]q = 1- p[/tex]

=>   [tex]q = 1-0.45[/tex]

=>    [tex]q = 0.55[/tex]

 This  can study can be said to follow binomial distribution as there is only two outcomes

So the probability exactly 5 travelers plan their own trips is mathematically represented as

     [tex]P(X = 5) = ^{12} C_5 * p^5 * q^{12- 5 }[/tex]

Generally using a combination calculator  

      [tex]^{12} C_5 = 792[/tex]

So

    [tex]P(X = 5) = 792 * (0.45)^5 * (0.45)^{12- 5 }[/tex]

    [tex]P(X = 5) = 0.222[/tex]

Answer:

1/7.

Step-by-step explanation:

You use the inverse of 7 which is 1/7.

In order to back to its original size, we need to take a scale factor of 1/7.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.

If the rectangle is scaled by scale factor 7 it means it is plotted 7 times big such that a 7:1 scale factor maintain.

Now if we want to see the original rectangle then we need to take 7 times lower than that so a 1/7 scale factor is going to use.

Hence "In order to back to its original size, we need to take a scale factor of 1/7".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ2

Answer:

6x + 154

Step-by-step explanation:

4(x + 40) +2(x -3) =

4x + 160 + 2x - 6 =

6x + 154

Answer:

2(3x + 77)

Step-by-step explanation:

4(x+40)+2(x-3)

4x+160+2x-6

6x+154

=2(3x+77)

Answer:

D. ([tex]y^{3}[/tex] + 2)

Step-by-step explanation:

A factor of an expression can either be in the form of an algebraic expression, alphabet or number. In the question, the given expression can be written as;

7[tex]z^{4}[/tex] - 5 + 10[tex]y^{3}[/tex] + 20

Factorizing the expression gives;

7[tex]z^{4}[/tex] - 5 + 10([tex]y^{3}[/tex] + 2)

Therefore, it would be observed that the factor in the expression is;

([tex]y^{3}[/tex] + 2)

To get 8.98, the decimal point is moved 6 places to the left. This means the exponent is positive 6

The answer is D. 8.98 x 10^6

Answer: the answer is d

Step-by-step explanation:

Answer:

33ft below sea level

Step-by-step explanation:

423-390=33ft

Answer: 4.485

Step-by-step explanation:

We need to find the number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex].

For this , we first simplify the above numbers.

[tex]\dfrac{17}{4}= 4.25[/tex]  [divide 17 by 4]

[tex]\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}= 2(2.236)=4.472[/tex]   [ [tex]\sqrt{5}=2.236[/tex] ]

Now, Midpoint of  4.25 and 4.472 = [tex]\dfrac{4.25+4.72}{2}=\dfrac{8.97}{2}=4.485[/tex]

Number between 4.25 and 4.472 =4.485

Or number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex] is 4.485.

Answer:

D. y= -3x+ 5

Step-by-step explanation:

[tex]12x + 4y = 20[/tex]

Move 12x to the right and change its sign

[tex]4y =20-12x[/tex]

Divide through by 4

[tex]\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \sf{12x + 4y = 20}[/tex]

Move 12x to right hand side and change it's sign

⇒[tex] \sf{4y = - 12x + 20}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }[/tex]

⇒[tex] \sf{y = \frac{ - 12x}{4} + \frac{20}{4} }[/tex]

Divide -12x by 4 . Also divide 20 by 4

⇒[tex] \sf{y = - 3x + 5}[/tex]

Hope I helped!

Best regards!! :D

Answer:

(x2 - 5x + 7) • (x - 4)

Step-by-step explanation:

Answer:

SECOND AND LAST ONE

x2 + 40x + 400

256x4 – 256x3 + 96x2 – 16x + 1

Step-by-step explanation:

Answer:

11.70

Step-by-step explanation:

Answer:

The critical z value used to test a null hypothesis is ±1.645.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

And we have to find the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test.

Firstly, as we know that to find the critical z value we need only the level of significance to be known.

Here, the level of significance is given = [tex]\alpha[/tex] = 0.10

But for the two-tailed test, the level of significance to be considered is given by = [tex]\frac{\alpha }{2}[/tex] = [tex]\frac{0.10}{2}[/tex] = 0.05 or 5%.

Now, in the z table; we can see that the critical z value at a 5% level of significance (for the two-tailed test) is given as 1.645.

Hence, the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test is ±1.645.

According to the z-distribution, the critical value is given by:

a. ±1.645

The critical value for a two-tailed test with a significance level of [tex]\alpha[/tex] is |z| such that -z has a p-value of [tex]\frac{\alpha}{2}[/tex].

In this problem, [tex]\alpha = 0.1[/tex], then [tex]\frac{\alpha}{2} = 0.05[/tex].

A similar problem is given at https://brainly.com/question/18306091

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

Answer:

713/40 or as mixed fraction of 17 33/40 (see setps below)

Step-by-step explanation:

Simplify the following:

-(3 + 7/8) (-(4 + 3/5))

Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).

(-1)^2 = 1:

(4 + 3/5) (3 + 7/8)

Hint: | Put the fractions in 3 + 7/8 over a common denominator.

Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:

(4 + 3/5) (8×3)/8 + 7/8

Hint: | Multiply 8 and 3 together.

8×3 = 24:

(4 + 3/5) (24/8 + 7/8)

Hint: | Add the fractions over a common denominator to a single fraction.

24/8 + 7/8 = (24 + 7)/8:

(4 + 3/5) (24 + 7)/8

Hint: | Evaluate 24 + 7 using long addition.

| 1 |  

| 2 | 4

+ | | 7

| 3 | 1:

(4 + 3/5)×31/8

Hint: | Put the fractions in 4 + 3/5 over a common denominator.

Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:

31/8 (5×4)/5 + 3/5

Hint: | Multiply 5 and 4 together.

5×4 = 20:

((20/5 + 3/5)×31)/8

Hint: | Add the fractions over a common denominator to a single fraction.

20/5 + 3/5 = (20 + 3)/5:

31/8 (20 + 3)/5

Hint: | Evaluate 20 + 3.

20 + 3 = 23:

23/5×31/8

Hint: | Express 23/5×31/8 as a single fraction.

23/5×31/8 = (23×31)/(5×8):

(23×31)/(5×8)

Hint: | Multiply 5 and 8 together.

5×8 = 40:

(23×31)/40

Hint: | Multiply 23 and 31 together.

| 3 | 1

× | 2 | 3

| 9 | 3

6 | 2 | 0

7 | 1 | 3:

Answer: 713/40

________________________________________

Convert to a mixed number:

713/40

Hint: | Use long division to get a quotient and remainder.

Divide 713 by 40:

4 | 0 | 7 | 1 | 3

Hint: | How many times does 40 go into 71?

40 goes into 71 at most one time:

| | | 1 | |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

Hint: | How many times does 40 go into 313?

40 goes into 313 at most 7 times:

| | | 1 | 7 |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 |  

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 1 | 7 | (quotient)

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 713/40 is 17 with remainder 33, so:

Answer: 17 33/40

Answer:

Angle one is a angle of depression

Step-by-step explanation:

Answer:

Weight varies with location depending upon the acceleration due to gravity eg. for a mass m = 10kg on Earth it`s weight is W = mg = 10 x 10 = 100N.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

this means that the figures given to you , sketch and label the ones described and use dashes for hidden one

Step-by-step explanation:

Answer:

What account are you talking about?

Step-by-step explanation:

Answer:460 in word form: Four Hundred Sixty

460 in expanded form: 400+60