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Nadya [2.5K]
3 years ago
7

Which expressions are equivalent to -56z + 28.

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

B and C

Step-by-step explanation:

(-7)•8z = -56z

(-4)•(-7)=28

and

40•(-1.4)= -56z

40•0.7= 28

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The first term of a geometric sequence is 6, and the ratio (multiplier) is 0.5. What is the sum of the first 8 terms, rounded to
IRISSAK [1]
The sum of the first n terms of a geometric sequence is given by:

S_{n}=\frac{a_{1}(1-r^{n})}{1-2}

Using the known values:
S_{8}=\frac{6(1-0.5^{8})}{1-0.5}
S_{8}=\frac{6(1-0.00390625)}{0.5}
S_{8}=\frac{6(0.99609375)}{0.5}
S_{8}=\frac{5.9765625}{0.5}
S_{8}=11.953125

4 0
3 years ago
Consider the functions f(x) = ( 5 )" and g(x) = (*)* + 6. What are the ranges of the two functions?
nika2105 [10]

Answer:

The range of the function is the set of all possible values that function can take. Both given functions

y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

and y=\left(\dfrac{4}{5}\right)^x+6y=(

5

4

)

x

+6

are exponential functions with base \dfrac{4}{5}.

5

4

.

The graphs of these function you can see in attached diagram.

The range of the function y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

is (0,\infty).(0,∞).

The range of the function y=\left(\dfrac{4}{5}\right)^x+6y=(

5

4

)

x

+6 (this function is translated function y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

6 units up) is (6,\infty).(6,∞).

3 0
3 years ago
What is the least common multiple (LCM) of 7 and 9?
ad-work [718]

Answer:

63

Step-by-step explanation:

7*9=63

9*7-63

4 0
3 years ago
Read 2 more answers
2.03+7.89 estimate Please Help Asap
Oduvanchick [21]
The correct answer is 9.92
6 0
4 years ago
Read 2 more answers
Pat won the lottery!! She won 23 million dollars. Of course she had to pay the income tax of 33%. She decides to take the rest i
Snezhnost [94]

Answer:

$64,208.33

Step-by-step explanation:

100% - 33% = 67%

Since she pays 33% in taxes, she will only get 67% of the $23 million.

1 year = 12 months

20 years = 20 × 12 months = 240 months

There are 240 months in 20 years.

monthly amount = 67% of $23 million / 240

monthly amount = 0.67 × $23,000,000 / 240

monthly amount = $64,208.33

5 0
2 years ago
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