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3 years ago

Select the expression equivalent to -81 x + 27.

Mathematics

1 answer:

MArishka [77]3 years ago

5 0

Answer:

B -9(9x-3)

Step-by-step explanation:

b/c -9(9x-3) means -9×9x-(-3)

= -81x+27

if you say why -(-3) is +27, I will say b/c negative times negetive it give us positive. and if you they why we don't add -81x and 27, I will say b/c they are not like terms.

like terms : are terms with the same variable and same exponent.

example:2x and 3x,5xy and 9yx and etc....

if it helpful ❤❤

THANK YOU

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Find the value of csc theta, if cos =-3/5; 90 degrees < theta < 180 degrees

Sloan [31]

Answer: $\frac{5}{4}$

Step-by-step explanation:

Given

$\cos \theta =\frac{-3}{5}$

and $\theta$ lies between

$90^{\circ}$

and for this $\theta$ , $\sin$ and $\text{cosec}$ is Positive as they lie in 2 nd Quadrant

$\sin ^2\theta +\cos ^2\theta =1$

$\sin ^2\theta =1-(\frac{-3}{5})^2$

$\sin ^2\theta =1-\frac{9}{25}$

$\sin ^2\theta =\frac{16}{25}$

$\sin \theta =\frac{4}{5}$

$\therefore \text{cosec}\ \theta =\frac{5}{4}$

6 0

3 years ago

Which is an exponential growth function f(x)=6(0.25)x<br> f(x)=0.25(5.25)x

Vikki [24]

Answer: Second Option

$f(x)=0.25(5.25)^x$

Step-by-step explanation:

The exponential growth functions have the following form:

$f(x) = a(b)^x$

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

$f(x)=0.25(5.25)^x$

6 0

3 years ago

Read 2 more answers

3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha

agasfer [191]

Answer:

$160 hourly rate

Step-by-step explanation:

20 x 5 = 100

900 - 100 = 800

800 ÷ 5 = 160

To check: Multiply 160 by 5 and then add 100

3 0

2 years ago

Nathaniel builds birds and birdhouses using Lego blocks. Let BBB represent the number of birds and HHH represent the number of b

vladimir1956 [14]

Answer:

Step-by-step explanation:

Given that:

$43B+215H \leq 3000$

where:

B represents the number of birds
H represents the number of Birdhouses

Nathaniel wants to build 50 birds(B) using lego Blocks, we want to determine how many birdhouses(H) he can build with the remaining Lego blocks.

If B=50

$43(50)+215H \leq 3000\\2150+215H \leq 3000\\\text{Subtract 2150 from both sides}\\215H \leq 3000-2150\\215H \leq 850\\\text{Divide both sides by 215}\\H \leq 3.95$