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3 years ago

Select the table the represents a linear function. (Graph them if necessary.)

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

Step-by-step explanation:

no more if it's a postive or negative. They will all add up in a linear straight line.

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Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?

Marizza181 [45]

Answer:

$6\frac{7}{8}\ miles$

Step-by-step explanation:

Given that Lil's distance in 2/5 hrs is 2 3/4hrs

-Let x be the distance ran in 1 hr.

#We equate and cross multiply to solve for x as follows:

$\frac{2}{5}\ hrs=2\frac{3}{4}\\1\ hr=x\\\\\therefore x=2\frac{3}{4}/\frac{2}{5}\\\\=6\frac{7}{8}\ miles$

Hence, Lil can run 6 7/8 miles in 1 hr.

5 0

3 years ago

Write a function to represent each problem situation Carmen deposits $1000into simple interest account.The rate for the account

kolezko [41]

The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t

<h3><u>Solution:</u></h3>

Given that,

Carmen deposits $1000 into simple interest account

The rate for the account is 4%

To find: function the represent the balance in the account as a function of time t

Given is simple interest account

The formula for simple interest is given as:

$S.I = \frac{ prt}{100}$

Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years

In simple interest,

total amount after "t" years = principal + simple interest

Here in this question, Carmen deposits $1000

$p_0 = 1000$

$r = 4 \% = \frac{4}{100} = 0.04$

Thus we can frame a function as:

total amount after "t" years = principal + simple interest

$p(t) = p_0 + (p_0 \times r \times t )$

$p(t) = 1000 + (1000 \times 0.04)t\\\\p(t) = 1000 + 40t$

Where, p(t) is the amount after "t" years and $p_0$ is the principal sum

Thus the function is obtained

7 0

4 years ago

Can someone help me with this problem?

Tatiana [17]

Answer:

Step-by-step explanation:

if not c it's B

8 0

3 years ago

John, Sam & Rob were playing cards. John scored x points,Sam scored 3 fewer than John. Rob scored twice Sam's points. togeth

Lostsunrise [7]

Answer: 2x-6

Work Shown:

john = x

sam = x-3 since he scored 3 fewer than john

rob = 2*(sam) = 2(x-3) = 2*x-2*3 = 2x-6

7 0

2 years ago

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

3 years ago