You really enjoy cooking and are planning on having friends over for dinner. You want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.

Answer:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4-5x^2-36=0[/tex]

Let's let u equal x² so:

[tex]u^2-5u-36=0[/tex]

Factor. We can use -9 and 4. So:

[tex]u^2+4u-9u-36=0[/tex]

From the first two terms, factor out a u.

From the last two terms, factor out a -9. So:

[tex]u(u+4)-9(u+4)=0[/tex]

Grouping:

[tex](u-9)(u+4)=0[/tex]

Zero Product Property:

[tex]u-9=0 \text{ or } u+4=0[/tex]

On the left, add 9. On the right, subtract 4:

[tex]u=9\text{ or } u=-4[/tex]

Substitute back u:

[tex]x^2=9\text{ or } x^2=-4[/tex]

Take the square root:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

And we're done!

Our answer is the Second option.

Answer:

B). x = ±2i and x = ±3

Step-by-step explanation:

Answer:

20 Units

Step-by-step explanation:

RS plus ST equals RT.

Take this visual:

_____/_______________

R       S                                 T

5 un                15 un

Using the segment addition postulate, we can tell RS+ST=RT

5+15=20

Hope this helps :-)

Answer:

I got $0.42

Step-by-step explanation:

Answer:

B. 6.75 in

Step-by-step explanation:

ABCDEF ~ RSTUVQ

➡️ [tex] \frac{A \: F}{QR} = \frac{AB}{RS} [/tex]

➡️ [tex] \frac{9}{4} = \frac{x}{3} [/tex]

➡️ [tex]x = \frac{27}{4} [/tex]

➡️ [tex] = 6.75 \: in[/tex]

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

[tex](9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)[/tex]

First of all, let's open the parentheses to combine the like terms for simplifying.

[tex]9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2[/tex]

Arranging the like terms, x² with x², x with x and constant terms near to each other.

[tex]9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2[/tex]

Simplying further,

[tex](9 - 3) {x}^{2} - 3x + 9[/tex]

[tex]6 {x}^{2} - 3x + 9[/tex]

So, the correct option is C

━━━━━━━━━━━━━━━━━━━━

Answer:

Answer C I think

Step-by-step explanation:

Answer:

3,864 Km

Step-by-step explanation:

920/60=15.333333

15.33333*252=3,864

Answer:

5.5

Step-by-step explanation:

5.477

Rounded to the nearest tenth it will be

5.5

Answer:Square Root of 30 to the nearest tenth, means to calculate the square root of 30 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 30 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Step-by-step explanation: I HOPE I HELPS

Answer:

C. 17

Step-by-step explanation:

I'm assuming you need the hypotenuse so to get that you do

The square root of a^2 + b^2

                            a squared + b squared

So it becomes square root of 8^2 + 15^2

                    =   square root of 64 + 225

                    =   square root of 289

                    =   17

Hope this helps :)

Answer:

Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.

Step-by-step explanation:

Answer:

-2+31

Step-by-step explanation:

conjugate in simple terms is that it is taken in opposite sign.

for example the conjugate of [tex]5+\sqrt{2}\\[/tex]  is [tex]5-\sqrt{2}[/tex]

If u understood the concept...pls mark as Brainliest!

Answer:

x = 17

Step-by-step explanation:

The two indicated angles are corresponding and congruent, thus

11x - 31 = 8x + 20 ( subtract 8x from both sides )

3x - 31 = 20 ( add 31 to both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Answer:

the answer is number 4 17

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Not sure but

I am assuming we have 8 integers :

All or (A) = {7,8,9,10,11,12,13,14} = n(A) = 8

Hence, the probability of any one outcome is 1/8.

Therefore, as you can detect, there are 4 numbers that are even numbers which means :

Even or (E) = {8, 10, 12, 14} = n(E) = 4

So, let E imply this occurrence

E x A

= 4 x 1/8

= 4/8

= 1/2

Probability of getting an even number from7 to 14 is equals to ( 1/ 2).

" Probability is defined as the mathematical calculation to represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

[tex]Probability = \frac{Number of favourable outcome }{Total number of outcomes}[/tex]

According to the question,

Given,

  Total number from 7 to 14 = { 7, 8, 9, 10, 11, 12, 13, 14}

⇒Total number of outcomes = 8

Possible outcomes of even number ={ 8, 10, 12, 14}

⇒ Number of favourable outcomes = 4

Substitute the value in the formula we get,

Probability = ( 4 / 8)

                  = ( 1 / 2) ( fraction in simplest form)

Hence, probability of getting an even number from7 to 14 is equals to ( 1/ 2).

Learn more about probability here

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Answer:

no To multiply three factors, we first multiply two of the factors together. Then we multiply the product we get by the third factor. Since multiplication is commutative, we may multiply numbers in any order.

Answer:

2 i think it's 2 now sure

Step-by-step explanation:

ummmmmmmmmmmmmmm

Answer:

see explanation

Step-by-step explanation:

Given

3 < 5 + 6h < 10 ( subtract 5 from each interval )

- 2 < 6h < 5 ( divide each interval by 6 )

- [tex]\frac{1}{3}[/tex] < h < [tex]\frac{5}{6}[/tex]

[tex]\text {Hey! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to do Keep Change Change (KCC)}}[/tex]

[tex]\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}[/tex]

[tex]\text {\underline {The Next Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 4.25}}[/tex]

[tex]\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}[/tex]

[tex]\text {\underline {The Final Step is to Divide -2.5}}[/tex]

[tex]\text {-2.5x/-2.5=10.5/-2.5}[/tex]

[tex]\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4.2}[/tex]

[tex]\text {Best of Luck!}[/tex]

Hey there!☺

[tex]Answer:\boxed{x=-4.2}[/tex]

[tex]Explanation:[/tex]

[tex]4.25-2.5x=14.75[/tex]

Let's start by simplifying both sides in the equation.

[tex]4.25+-2.5x=14.75\\-2.5x+4.25=14.75[/tex]

Now we subtract 4.25 from both sides in the equation.

[tex]-2.5x+4.25-4.25=14.75-4.25\\-2.5x=10.5[/tex]

Now in our third/final step, we will divide both sides by -2.5.

[tex]\frac{-2.5x}{-2.5}= \frac{10.5}{-2.5}[/tex]

Now we simplify 10.5/-2.5.

[tex]\frac{10.5}{-2.5}=-4.2[/tex]

[tex]x=-4.2[/tex]

Hope this helps!

Answer:

40 possible answers

Step-by-step explanation:

20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions

Answer:

[tex]y=-\frac{15-4x}{5}[/tex]

Step-by-step explanation:

[tex]4x-5y=15[/tex]

Subtract 4x from both sides:

[tex]4x-5y-4x=15-4x[/tex]

[tex]-5y=15-4x[/tex]

Divide both sides by -5:

[tex]\frac{-5y}{-5}=\frac{15-4x}{-5}[/tex]

[tex]y=-\frac{15-4x}{5}[/tex]

Answer:

13

Step-by-step explanation:

15 + 10 = 25

25 - 8 = 17

17 - 2 = 15

15 + 3 = 18

18 - 4 = 14

14 - 1 = 13

Answer:

13

Step-by-step explanation:

its 13

Answer:

3) uses a visual representation of the logical flow of steps needed to reach a conclusion.

Step-by-step explanation:

I took the test.

Flow charts gives a graphical or pictorial representation of the sequential steps which should be followed to solve a given problem.

Flow charts are similar to algorithms in that they provide a stepwise approach to solving a problem or reaching a conclusion on a particular task. However, flow charts reflect presents the sequence of operation in a graphical of pictorial format.

Therefore, flowcharts uses a visual representation of the logical flow of steps needed to reach a conclusion.

Learn more :https://brainly.com/question/17373574?referrer=searchResults

Answer:

Domain of the relation is Option (c) : {−4.5, −3, 0.9, 4, 17}

Answer:

|x−10|=5

The maximum and minimum time(x) gets subtracted by 10 resulting in the 5 minute time vary.

Answer:

its D. |x−10|=5 if you dont believe me heres proof

Step-by-step explanation:

Answer:

2.42

two and fourty-two hundredths