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3 years ago

Are the lines parallel? y = 4x + 4 and y = -4x - 2 *

Mathematics

1 answer:

Charra [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

For two lines to be parallel they must never intersect

Another way of putting this is that the slopes have to be the same

they are not

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Explain the relationship between the range of values and quartiles.

vitfil [10]

I think you meant qualities

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3 years ago

What is the sum of the finite arithmetic series?

mariarad [96]

The underlying arithmetic progression is

-15, 0, 15, 30, ...

starting with $a_1=-15$ and with a common difference of $d=15$ between terms. Recursively, this sequence is given by

$\begin{cases}a_1=-15\\a_n=a_{n-1}+15&\text{for }n>1\end{cases}$

So we have

$a_2=a_1+15$

$a_3=a_2+15=a_1+15\cdot2$

$a_4=a_3+15=a_1+15\cdot3$

and so on, so that the explicit rule for the sequence is

$a_n=a_1+15(n-1)=15n-30$

for $n\ge1$ .

The series consists of 15 terms, since

$195=15n-30\implies15n=225\implies n=15$

So we have

$-15+0+15+\cdots+195=\displaystyle\sum_{n=1}^{15}(15n-30)=15\cdot\frac{15\cdot16}2-30\cdot15=1350$

and the answer would be B.

4 0

3 years ago

If f(x)=-4x-5 and g(x)=3-x, what is f(5)?

lesantik [10]

Answer:

f(5)=

$= 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15$

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2 years ago

X=4<br> X = 3<br> x = 5<br> x = 6

butalik [34]

wat subject is that

7 0

3 years ago

Mary's garden is 2 3/5 meters long. She wants to plant tomato plants so that every plant has 1/5 of a meter of ground space to g

hram777 [196]

Step-by-step explanation:

The answer would be C, 13. This is the correct answer because if you divide the reciprocal of 2 3/5 by 1/5, it is 13.

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3 years ago