Ask question

Ask question

All categories

erastovalidia [21]

3 years ago

13

Question 1 (Essay Worth 10 points)

1 answer:

nika2105 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Both functions are linear, as the highest power of x is 1 in each case.

The function represented by the table has a slope of 6, since each unit increase in x results in a unit increase of 6 in y.

The function g(x) = 2x + 6 has a slope of 2.

The y intercept of f(x) is (0, -6), which we can read directly from the table.

The y int. of g(x) is 6, which can be read directly from y = 2x + 6.

g(x) has the greater y-intercept: +6 versus -6.

You might be interested in

I wanted to know if my answer is correct and if it isn't please correct it.

k0ka [10]

Answer:10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

the answer will be 10

4 0

1 year ago

Read 2 more answers

What is the length of line with endpoints (5,-7) and (5,11)

Mashcka [7]

Answer:

18 units

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the least common denominator of 1/5 and 7/10

il63 [147K]

Answer:

2/10 7/10

Step-by-step explanation:

7 0

3 years ago

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

3 years ago

Pls help me will give brainliest

Alla [95]

Hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

7 0

3 years ago