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2 years ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Mathematics

1 answer:

dusya [7]2 years ago

6 0

G(x) is 4 units above f(x), so k=4

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Solve 7.8e^((x/3)ln(5))=14. What are the exact and approximate solutions?

Dimas [21]

$\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}$

<u>Step-by-step explanation:</u>

$7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\$

x ≈ 1.09

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2 years ago

A rectangular tank has a base that is 10 centimeters by 5 centimeters and a height of 20 centimeters. If the tank is half full o

Serga [27]

the answer will be 6.5 cm the water will rise

6 0

2 years ago

given that BD is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is wh

stira [4]

Answer:

Isosceles

Step-by-step explanation:

Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.

In these triangles:

AD=DC (because BD is the median);
∠ADB=∠CDB=90° (because BD is the altitude);
BD is common side.

Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.

If in triangle ABC, AB=BC, then this triangle is isosceles.

7 0

2 years ago

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At a grocery store you can buy a whole chicken the weights 4 pounds for $3.88 you can also buy a package of chicken drumsticks t

lilavasa [31]

The better buy is 4lbs for $3.88
3.88/4=.97
3.06/3=1.02

4 0

2 years ago

Which expression could be used to determine the cost of a $40 video game after a 15 percent discount?

LUCKY_DIMON [66]

Answer: The required expression is,

$ 40(0.85)

Step-by-step explanation:

Given,

The original cost of the videogame = $ 40,

Discount percentage = 15%,

So, the amount of discount = 15% of 40

= (0.15)40 ( ∵ 1% = 0.01 )

Hence, the cost of the videogame = original cost - discount

= 40 - (0.15)40

= 40 (1-0.15)

= 40(0.85)

Which is the required expression .

5 0

2 years ago

Read 2 more answers