Use the given function to find the indicated value(s) of x. (Enter your answers as a comma-separated list.)
For f(x) = √2x + 2 − √x + 18, find x such that f(x) = −1.

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

[tex]p = MN + NP + PQ + QR + RM[/tex] (1)

[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)

If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:

[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]

[tex]p = 22[/tex]

The pentagon MNPQR has a perimeter of 22 units.

The pentagon MNPQR has a perimeter of 22 units.

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)

p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=

MN

∙

MN

+

NP

∙

NP

+

PQ

∙

PQ

+

QR

∙

QR

+

RM

∙

RM

(1b)

If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:

p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=

(5−2)

2

+(8−4)

2

+

(8−5)

2

+(4−8)

2

+

(8−8)

2

+(1−4)

2

+

(2−8)

2

+(1−1)

2

+

(2−2)

2

+(4−1)

2

p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=

3

2

+4

2

+

3

2

+(−4)

2

+

0

2

+(−3)

2

+

(−6)

2

+0

2

+

0

2

+3

2

p = 22p=22

The pentagon MNPQR has a perimeter of 22 units.

Answer:

I attached both the work and explanation down below. Hope it helps!

Answer:

1/3 chance

Step-by-step explanation:

2,3, and 5 are prime

1 is NOT a prime number

Answer:

33.29

Step-by-step explanation:

A=πr^2

A=π2^2=12.57

12.57/2=6.29

7-4=3

3x2=6

6/2=3

4x6=24

6.29+3+24=33.29

Answer:

6

Step-by-step explanation:

Answer:

29 is the correct answer. Hope you like my answer.

Answer:

16.5/100

Step-by-step explanation:

An equivalent fraction to 33/200 could be 66/400.

Answer: B. x = 16/3

3/5x + 1/2 = 3/4x -3/10

minus 3/4x on both sides

-3/20x + 1/2 = -3/10

minus 1/2 on both sides

-3/20x = -3/10

multiply both sides by 20/-3

x = 16/3

Answer:

B) [tex]x=\frac{16}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}x+\frac{1}{2}=\frac{3}{4}x-\frac{3}{10}[/tex]

[tex]\frac{12}{20}x+\frac{10}{20}=\frac{15}{20}x-\frac{6}{20}[/tex]

[tex]\frac{10}{20}=\frac{3}{20}x-\frac{6}{20}[/tex]

[tex]\frac{16}{20}=\frac{3}{20}x[/tex]

[tex]16=3x[/tex]

[tex]\frac{16}{3}=x[/tex]

Therefore, your answer is B) [tex]x=\frac{16}{3}[/tex]

Answer:

welllllllll thats is the confusion diagram

Answer:

I got great news for you! I have a wonderful grade in math...

Anyway the answer is 6,318

Step-by-step explanation:

Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).

as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.

1,404+4,914=6,318

So now WALLA we have our answer.

Answer:

96million

Step-by-step explanation:

48/6=8

12 000 000 * 8 = 96 000 000

=96 million

Answer:

96 million

Step-by-step explanation:

48/6= 8

8*12 million = 96 million

Answer:

(-12, -12)

Step-by-step explanation:

Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.

-4×3=-12

Hope this helps!!

137

Step-by-step explanation:

43+ z=180

z=180-43

= 137

Answer:

137°

Step-by-step explanation:

Subtract 43 from 180

180 is the degree of a straight line

Angles y and 43 degree angle are equal so to find z you subtract the 43 from 180

180 - 43 = 137

Answer:

36

Step-by-step explanation:

you add the first two the order of operations then you do big and little

Applying the angle of intersecting tangents theorem, m∠ABC = 99°

If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.

Given the following:

Apply the angle of intersecting tangents theorem:

m∠ABC = 1/2[m(AD) - m(AC)]

Substitute

4x + 15 = 1/2[(17x + 2) - (7x - 10)]

2(4x + 15) = 17x + 2 - 7x + 10

8x + 30 = 10x - 12

8x - 10x = -30 - 12

-2x = -42

x = -42/-2

x = 21

m∠ABC = (4x + 15)

Plug in the value of x

m∠ABC = 4(21) + 15 = 99°

Learn more about the angle of intersecting tangents theorem on:

https://brainly.com/question/9143293

Answer:

3/1

Step-by-step explanation:

is the slop of this graph

Answer:

1.40×0.80=1.12 or 1.40/0.80=1.75

Answer:

m = -20

Step-by-step explanation:

first distribute:

-4(m + 18) = 8

-4m - 72 = 8

Now add 72 to both sides to get m by itself

-4m = 80

and divide by -4 on both sides

m = -20

Hope this helped! :)

Answer: m = -20

Step-by-step explanation:

−4(m + 18) = 8

Step 1: Simplify both sides of the equation.

−4(m + 18) = 8

(−4)(m) + (−4)(18) = 8 (Distribute)

−4m + −72 = 8

−4m − 72 = 8

Step 2: Add 72 to both sides.

−4m − 72 + 72 = 8 + 72

−4m = 80

Step 3: Divide both sides by -4.

−4m / − 4 = 80 / −4

m = −20

Answer:

Step-by-step explanation:

Price per pound of the walnuts = $ 6.50

Price of 4 pounds of the walnuts = 4 *6.50 = $ 26

Amount needs to be paid = Price of 4 pounds of walnut - coupon amount

             = 26 - 3.75

              = $ 22.25

Expression:

Cost to buy p pounds of walnuts = p * 6.50 = 6.5p

Cost to buy p pounds of walnuts, assuming at least one pound is purchased =  6.50 + 6.5p

Answer:

it will take 25 months until the cost is the same.

500 / 20 = 25

Step-by-step explanation:

QRN= 65º

hope this helps!!

Given:

The polynomials are:

[tex]3x^2y^2-2xy^5[/tex]

[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]

To find:

The completely simplified sum of the polynomials.

Solution:

We have,

[tex]3x^2y^2-2xy^5[/tex]

[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]

The sum of given polynomials is:

[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]

[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]

Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.

Answer:

F

Step-by-step explanation:

I'm guessing wjdhksdjene

Answer:

J

Step-by-step explanation:

The answer is option J

Answer:

The answer is

[ X ][  Y ]

[ 1  ][   7 ]

[ 2 ][   9 ]

[ 5 ][  15 ]

[ 7  ][  19 ]

Brainiest please and lot of likes:)

Answer:

yes

Step-by-step explanation:

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

[tex]P(x)=(x-a_1)(x-a_2)...(x-a_n)[/tex]

Where, [tex]a_1,a_2,...,a_n[/tex] are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

[tex]P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))[/tex]

[tex]P(x)=(x-4)(x+4)(x-4i)(x+4i)[/tex]

[tex]P(x)=(x-4)(x+4)(x^2-(4i)^2)[/tex]           [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

On further simplification, we get

[tex]P(x)=(x-4)(x+4)(x^2-4^2i^2)[/tex]

[tex]P(x)=(x-4)(x+4)(x^2+16)[/tex]                [tex][\because i^2=-1][/tex]

Therefore, the required fourth degree polynomial is [tex]P(x)=(x-4)(x+4)(x^2+16)[/tex].

The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.

Let f(x) represent the function with zeros 4​, -4, 4i ​, and -4i. Hence:

x = 4; x = -4; x = 4i; x = -4i

x - 4 = 0; x + 4 = 0; x - 4i = 0; x + 4i = 0

f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

Find out more on polynomial at: https://brainly.com/question/2833285