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2 years ago

Identify all solutions for the graph (Check as many that apply)

Mathematics

2 answers:

Lisa [10]2 years ago

5 0

The darkest shaded one is the correct answer.

Diano4ka-milaya [45]2 years ago

3 0

Answer:

the darkest shaded one.

Step-by-step explanation:

because the two areas for possible answers both intersect at that area, therefore, that is the answer.

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If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

abruzzese [7]

(f+g)(x) = 3^x + 10x + 4x - 2
(f+g)(x) = 3^x + 14x - 2

4 0

3 years ago

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Amber and will are in line to buy tickets. Amber moves back by 3 places three times to talk with friends. She then is invited to

VARVARA [1.3K]

Overall, Will moved farther back in line than Amber.

8 0

3 years ago

Read 2 more answers

What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFract

fgiga [73]

Answer:

$|z| = 27$ -- Modulus

$\theta = \frac{\pi}{3}$ --- Argument

Step-by-step explanation:

Given

$((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Required

Determine the modulus and the argument

We have that:

$z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Expand:

$z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

A complex equation can be expressed as:

$z = |z| e^{i\theta}$

Where

$|z| = modulus$

$\theta = argument$

Where

$e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})$

So:

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$ becomes

$z = 27(e^{i\frac{\pi}{18}})^6$

By comparison:

$e^{i\theta} = (e^{i\frac{\pi}{18}})^6$

This gives:

${i\theta} = i\frac{\pi}{18}}*6$

${i\theta} = i\frac{6\pi}{18}}$

${i\theta} = i\frac{\pi}{3}}$

Divide through by i

$\theta = \frac{\pi}{3}$

Hence, the modulus, z is:

$|z| = 27$

And the argument $\theta$ is

$\theta = \frac{\pi}{3}$

4 0

3 years ago

A water tank holds 621 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 828 gallons but is leak

hram777 [196]

Answer:

69 weeks

Step-by-step explanation:

Let the number of weeks be x.

The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:

621 - 4x

The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:

828 - 7x

After a certain amount of weeks, the amount of water in both tanks is the same. That means that:

621 - 4x = 828 - 7x

=> 7x - 4x = 828 - 621

3x = 207

x = 207 / 3 = 69

This means that the amount of water in the tank will be the same after 69 weeks.

8 0

4 years ago

Yes or no 2 problems below giving brainlest

astra-53 [7]

Answer:

Problem 13: yes

Problem 14: no

Step-by-step explanation:

Problem 13:

Plug the values of x and y to solve.

-23 = -7(5) + 12

-23 = -35 + 12

-23 = -23

The values are equal, so the coordinates do solve the equation. It's a yes.

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

Problem 14:

Plug the values of x and y to solve.

-9 = -7(-3) + 12

-9 = 21 + 12

-9 = 33

The values are not equal, so the coordinates do not solve the equation. It's a no.

hope this helps :)

8 0

3 years ago