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3 years ago

14. A company rents bicycles for a fee of $10 plus

Mathematics

2 answers:

densk [106]3 years ago

7 0

Answer:

y equals 4x + 10

Step-by-step explanation:

because you get how much per something is plus the initial fee

oksian1 [2.3K]3 years ago

6 0

Totally cost = 4h + 10

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Find the slope of the line. A) -3/4 B) 3/4 C) 4/3 D) -4/3

Slav-nsk [51]

-3/4 because it's negative and also you can work it out by using rise/run

3 0

3 years ago

Read 2 more answers

30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

GET 15 POINTS NOWWWWWWWWW!!!!

anzhelika [568]

Slope = 2/5 ; Passes through (-4, -7) ; Point-slope form

point-slope form : y-y₁=m(x-x₁)

Simply plug everything in :)

Remember !! m=slope

y - (-7) = 2/3(x - (-4))

Simplify.

y + 7 = 2/3(x + 4)

*Some teachers want this simplified more so here's the simplest answer :

y + 7 = 2/3x + 8/3 *

~Hope I helped!~

3 0

3 years ago

Solve this system of equations by using the substitution method. y=2x-5 6x+7=y

gogolik [260]

Answer:

$x = - 3 \: and \: y = - 11$