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3 years ago

Which graph models the function f(x) = −2(3)x?

Mathematics

1 answer:

swat323 years ago

6 0

Answer:

exponential function going through point 0, negative 2 and ending down on the right

Step-by-step explanation:

(Took the test, also seen as "Option A", this graph goes down and hits the y line at 0,-2.)

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7. Which two equations are equivalent?

sineoko [7]

Answer:

C. $y=(x-3)^2$ and $y=x^2-6x+9$

Step-by-step explanation:

before answering the problem let us remind the formula for square of sum and differences

$(a+b)^2=a^2+2 \times a \times b + b^2$

$(a-b)^2=a^2-2 \times a \times b + b^2$

We are going to use the above two formulas to solve each part and come to an answer

A. $y = (x + 3)^2$

$(x + 3)^2=x^2+2 \times x \times 3 + 3^2$

$(x + 3)^2=x^2+6x+9$

Hence this option is not correct pair

B. $y = (x-5)^2$

$(x - 5)^2=x^2-2 \times x \times 5 + 5^2$

$(x -5)^2=x^2-10x+25$

Hence this option is also not correct pair

C. $y = (x -3)^2$

$(x - 3)^2=x^2-2 \times x \times 3 + 3^2$

$(x -3)^2=x^2-6x+9$

Hence this option is correct as it have equivalent pair

D. $y = (x + 5)^2$

$(x + 5)^2=x^2+2 \times x \times 5 + 5^2$

$(x + 5)^2=x^2+10x+25$

Hence this option is also not correct pair

6 0

3 years ago

I’m not sure how to do this

Brums [2.3K]

Answer: lim as x → -5 of f(x) and g(x) = 300

Domain of f(x) and g(x) is All Real Numbers

f(-5) = 200

g(-5) = 300

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

The limit of f(x) as x approaches -5:

$f(x) =\dfrac{4x^3+500}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+125)}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+5^3)}{x+5}\qquad \text{we can factor the cubic}\\\\\\.\qquad =\dfrac{4(x+5)(x^2-5x+25)}{x+5}\\\\\\.\qquad =4(x^2-5x+25)\\\\\\\text{as x approaches -5, f(x) = }4[(-5)^2-5(-5)+25]\\\\.\qquad \qquad \qquad \qquad \qquad =4(25 + 25 + 25)\\\\.\qquad \qquad \qquad \qquad \qquad =4(75)\\\\.\qquad \qquad \qquad \qquad \qquad =300$

The limit of g(x) as x approaches -5:

g(x) = 4x² - 20x + 100

= 4(-5)² - 20(-5) + 100

= 100 + 100 + 100

= 300

There is a restriction at x = -5 for f(x), however, that discontinuity has been filled with the 200 at x = -5. So the domain is ALL REAL NUMBERs.

There are no restrictions on x for g(x) so the domain is ALL REAL NUMBERs.

5 0

3 years ago

you earn $3 an hour as a waitress. after working 3 hours , you earn $12, $5 and $7 in tips. how much money did you earn in total

8_murik_8 [283]

You add them all together to get $24.

4 0

3 years ago

Read 2 more answers

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shtirl [24]

Answer:

I know another one

Step-by-step explanation:

THERES HYDROIGEN AND HELIUM THEN LITHNIUM BERILIUM BPRON CARBON EVERYWHERE NITROGEN ALL THROUGH THE AIR WITH OXYGEN SO U CAN BREATHE AND FLUORINE FOR UR PRETTY TEETH

4 0

2 years ago

Gary has 2 red apples, 2 green apples, and 2 yellow apples in a sack. He also has 2 packages of peanuts, 2 packages of almonds,

o-na [289]

1/3 or approximately 0.3333333334 percent

3 0

3 years ago