All categories

4 years ago

Which choice is a good estimate for the equation of the line below?

Mathematics

2 answers:

Veseljchak [2.6K]4 years ago

7 0

The Answer is C since Y is for the miles and X for hours, we need to substitute the miles in the y variable and solve for X !!

ludmilkaskok [199]4 years ago

6 0

Given is a table of Time(hours)-Distance(miles).

We have points (4, 208), (6, 312), (8, 416), (10, 520).

<u>Finding slope of given points:-</u>

$m_1=\frac{312-208}{6-4}= \frac{104}{2}=52 \\m_2=\frac{416-312}{8-6}= \frac{104}{2}=52 \\m_3=\frac{520-416}{10-8}= \frac{104}{2}=52$

We know general equation of the line is given by y = mx+b.

<u>Using point (4, 208) and slope m = 52 in the equation y = mx+b.</u>

208 = (52)(4) + b

208 = 208 + b

b = 0.

So, the equation is y = 52x.

You might be interested in

I need help with this in 7th grade just started to learn this

tatuchka [14]

Answer:

Step-by-step explanation:

110% × 90 = 99

<em>OR</em>

110/100 × 90 (Simplify this)

11/10 × 90 (Divide 10 into 90 / Cross multiply)

11 × 9 = 99

8 0

3 years ago

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

4 years ago

How do i cross multiply rational equations? EX: 6/x = 4/3

aliya0001 [1]

You would multiply 6 by 3 and x by 4. You would end up getting 4x = 18 and then you simplify that to get 9/2 or 4.5.

3 0

3 years ago

Read 2 more answers

The table below shows the predicted number of words Janae can type, y, in x minutes. Time (x, in minutes) Words Typed (y) x y 5

-BARSIC- [3]

Answer

B Janae types 30 words each minute.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The shower block on the campsite has an area of 144 m2 The length of the shower block is 24 m.What is the width?

g100num [7]

Since the shower block is in the form of a rectangle. The shower block has an area of 144 $m^{2}$ . It has a length of 24m. We need to calculate the width of the shower block.

Area of rectangular shower block = length $\times$ width

144 $m^{2}$ = 24 m $\times$ width

width = $= \frac{144m^{2}}{24m}$

width = 6m

So, the width of the shower block is 6 meters.

8 0

4 years ago