Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.

Answer:

[tex]\huge\boxed{a=4}[/tex]

Step-by-step explanation:

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]

Answer: The slope is 500 and the y intercept is 0.

Step-by-step explanation:

To find the slope we need to find the rise and divide it by the run. The y intercept will be when x is equal to 0. And when x is 0 y is also zero because it cuts through the origin meaning that the y-intercept is  0.

The line rises up by 1000 and run by 2 to the right.

Slope :  1000/2 = 500

The slope is 500.

Answer:

square root of 16

Step-by-step explanation:

4x4=16

Answer:

A.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

simplify the expression

Answer:

-3

Step-by-step explanation:

Answer:

10 hundredths

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

Answer:

4553332 is the answer

Step-by-step explanation:

Answer:

A. -(3/10)x + 1 = 10

B. x = -30

Step-by-step explanation:

A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10

B. in solving this, first we subtract 1 from both sides, to get

-(3/10)x = 9

then, we divide both sides by -3/10 to get

x = -30

Answer:

34 - 25 = 9

Step-by-step explanation:

Answer:

∠QPR = 40°

Step-by-step explanation:

According to the question the line PQ ⊥ PS which means that they both are perpendicular angles. Perpendicular angles are always 90°, so,

∠QPR + ∠RPS = 90°

=> 7x - 9° + 4x + 22° = 90°

=> (7x +  4x) +(22 - 9)° = 90°

=> 11x + 13° = 90°

=> 11x  = 90° - 13°

=> 11x = 77°

=> x = 77/11

=> x = 7

So, now that we have x, we can find ∠QPR,

7x - 9°

=> (7 * 7 - 9)°

=> (49 - 9)°

=> 40°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

same here. i went through a breakup of 2 years, i'm super behind in school, and i've been grounded for the past 5 months and haven't spoken to any of my friends. i've learned that life is tough, but so are you. whatever is making you feel this way will pass. just try to find little things that make you happy. the most beautiful views come from the hardest climbs. you'e gotta make the most before the coffin.

Step-by-step explanation:

i hope this helps you, or at least encourages you. i don't know what is happening in your life but i know you can get through it. i'm here for you if you need me in the comments. i have super strict parents so i don't have any socials, but if you wanna talk or play together when i get ungrounded, my r0blox is adriii_rose and my pinterest is also adriii_rose. good luck and have a great day/night. best wishes! ❤️✨

Answer:

❤️❤️❤️

Step-by-step explanation:

Answer: 0.082

Step-by-step explanation: Two Ways: Divide 82.000 by 1000 which equals to 0.082. OR Write 82 and then move the decimal 2 spots to the left, so that it turns into 0.082.

-5.33333333333

I used a calulator can I get brainliest please

Answer:

8.84

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

Answer:

y equals 5x + 20

Answer:

c

Step-by-step explanation:

Answer:

C is the answer

Answer:

z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down

Step-by-step explanation:

∵ z1 = 4 + 3i

∵ z2 = 3 - 2i

∵ z3 = i + 5

→ Find the left side

∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]

∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]

∴ z1(z2 + z3) = (4 + 3i)(8 - i)

∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)

∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²

→ Remember that i² = -1

∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)

∴ z1(z2 + z3) = 32 - 4i + 24i + 3

→ Add the like terms

∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)

∴ z1(z2 + z3) = 35 + 20i

→ Find the right side

∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)

∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]

→ Replace i² by -1

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]

∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]

→ Add the like terms

∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]

∴ z1 z2 + z1 z3 = 35 + 20i

∵ The left side = 35 + 20i

∵ The right side = 35 + 20i

∴ The left side = the right side

∴ z1(z2 + z3) = z1 z2 + z1 z3

Answer: -8

Step-by-step explanation:

Distribute 6 to x and -1

6x-6=9(x+2)

Distribute 9 to x and 2

6x-6=9x+18

Add 6 to both sides

6x=9x+24

Subtract 9x from both sides

-3x=24

Divide -3 from both sides

X=-8

Answer:  No

==================================================

Work Shown:

(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)

5/4 = 15/13

13*5 = 4*15 .... cross multiply

65 = 60

The last equation is false, so the first equation is false

---------------

Alternative ratio

(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)

5/15 = 4/13

5*13 = 15*4

65 = 60

We end up with the same false equation

The given values are not in the same proportion.

The ratios are not equivalent.

------------------

Yet another way to look at it

Note the jump from 5 altos to 15 altos is "times 3"

So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.

If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.

Answer:

3

Step-by-step explanation:

Answer:

k = -4

division property

Step-by-step explanation:

Step-by-step explanation:

Your work is correct.  First, you graphed the region.  The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).

The value of C at this point is C = 14.

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (x³ +   x²  -  x)

                      5x² + x + 5

                    -(5x² + 5x - 5)

                             -4x + 10

Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

Answer:

4500

Step-by-step explanation:

because if you round 4,536.50 you will get 4500 since 36 is before 50+

Answer:4500

Step-by-step explanation:

Answer:

$609.50

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50